Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Subject

Subchapter

Course

Publisher

Program Title

Program ISBN

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

9781457300394

(a) General Requirements. Students shall be awarded one credit for successful completion of this course. This course is recommended for students in Grade 8 or 9. Prerequisite: Mathematics, Grade 8 or its equivalent.

(4) Statements that contain the word "including" reference content that must be mastered, while those containing the phrase "such as" are intended as possible illustrative examples.

(c) Knowledge and Skills.

(3) In Algebra I, students will build on the knowledge and skills for mathematics in Grades 6-8, which provide a foundation in linear relationships, number and operations, and proportionality. Students will study linear, quadratic, and exponential

functions and their related transformations, equations, and associated solutions. Students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology to collect and explore data and

analyze statistical relationships. In addition, students will study polynomials of degree one and two, radical expressions, sequences, and laws of exponents. Students will generate and solve linear systems with two equations and two variables and will

create new functions through transformations.

(b) Introduction.

(1) The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while

focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.

(2) The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process

standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When

possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution,

justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental

math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use

mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas

and arguments using precise mathematical language in written or oral communication.

SpringBoard® Algebra 1

Correlations to the Texas Essential Knowledge and Skills (TEKS): Teacher Material

Chapter 111. Mathematics

Subchapter C. High School

§111.39. Algebra I, Adopted 2012 (One Credit).

The College Board - SpringBoard

Page 1 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(A) apply mathematics to

problems arising in everyday

life, society, and the

workplace

(i) apply mathematics to

problems arising in everyday

lifeInstruction 9781457300608 17 #6

Assessment 9781457300608 173 #1-5

Review 9781457300608 214 #12-16

Instruction 9781457300608 211-213 #1-8

Review 9781457300608 213 #9-11

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(A) apply mathematics to

problems arising in everyday

life, society, and the

workplace

(ii) apply mathematics to

problems arising in society

Instruction 9781457300608 532-534 #1-6

Review 9781457300608 541 #14,15

Assessment 9781457300608 61 #1-5

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(A) apply mathematics to

problems arising in everyday

life, society, and the

workplace

(iii) apply mathematics to

problems arising in the

workplaceInstruction 9781457300608 144-145 #1-4,8

Review 9781457300608 151 #16

Instruction 9781457300608 148-150 #1-12

Review 9781457300608 180 #6

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(B) use a problem-solving

model that incorporates

analyzing given information,

formulating a plan or

strategy, determining a

solution, justifying the

solution, and evaluating the

problem-solving process and

the reasonableness of the

solution

(i) use a problem-solving

model that incorporates

analyzing given information,

formulating a plan or

strategy, determining a

solution, justifying the

solution, and evaluating the

problem-solving process

Instruction 9781457300608 112 #4-6

Review 9781457300608 263 #4-7

Page 2 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Instruction 9781457300608 258 ExA

Instruction 9781457300608 262 ExB

Instruction 9781457300608 116 #6-9

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(B) use a problem-solving

model that incorporates

analyzing given information,

formulating a plan or

strategy, determining a

solution, justifying the

solution, and evaluating the

problem-solving process and

the reasonableness of the

solution

(ii) use a problem-solving

model that incorporates

analyzing given information,

formulating a plan or

strategy, determining a

solution, justifying the

solution, and evaluating the

reasonableness of the

solution

Instruction 9781457300608 17 #6-10

Review 9781457300608 260 #16

Instruction 9781457300608 258 ExA

Instruction 9781457300608 262 ExB

Instruction 9781457300608 211 #1-2

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(i) select tools, including real

objects as appropriate, to

solve problems

Instruction 9781457300608 97 #1-7

Review 9781457300608 13 #26-29

Instruction 9781457300608 159 #1-4

Instruction 9781457300608 194 #7

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(ii) select tools, including

manipulatives as

appropriate, to solve

problems

Instruction 9781457300608 360 ExA TTA

Review 9781457300608 13 #26-29

Review 9781457300608 363 #8,9

Page 3 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(iii) select tools, including

paper and pencil as

appropriate, to solve

problems

Instruction 9781457300608 9-Aug #1,5,6

Review 9781457300608 132 #6

Assessment 9781457300608 121 #10

Instruction 9781457300608 467 #1-2

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(iv) select tools, including

technology as appropriate, to

solve problems

Instruction 9781457300608 116 #7

Review 9781457300608 498-499 #7-13

Instruction 9781457300608 486 #3

Instruction 9781457300608 550-551 #12-15

Review 9781457300608 552 #18

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(v) select techniques,

including mental math as

appropriate, to solve

problems

Instruction 9781457300608 395 ExA

Review 9781457300608 397 #7-16

Instruction 9781457300608 467 #1-2

Page 4 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(vi) select techniques

including estimation as

appropriate, to solve

problems

Instruction 9781457300608 193 #1-3

Review 9781457300608 487 #11

Instruction 9781457300608 349 #10-11

Instruction 9781457300608 486 #2c

Instruction 9781457300608 488 #2

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(C) select tools, including

real objects, manipulatives,

paper and pencil, and

technology as appropriate,

and techniques, including

mental math, estimation, and

number sense as

appropriate, to solve

problems

(vii) select techniques,

including number sense as

appropriate, to solve

problems

Instruction 9781457300608 26 #1,2,6-10

Review 9781457300608 27 #15-20

Instruction 9781457300608 398 ExA, B, C, D, TTA, B, C, D

Review 9781457300608 400 #2-9

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(i) communicate

mathematical ideas using

multiple representations,

including symbols as

appropriateInstruction 9781457300608 100 #10

Review 9781457300608 182 #14,15

Instruction 9781457300608 181 #8,9

Review 9781457300608 186 #13,17,18

Instruction 9781457300608 185 #11

Page 5 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(ii) communicate

mathematical ideas using

multiple representations,

including diagrams as

appropriateInstruction 9781457300608 69 #9

Review 9781457300608 75 #11

Instruction 9781457300608 372-373 #10,13,14

Review 9781457300608 315 #12,13

Instruction 9781457300608 76 #3c

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(iii) communicate

mathematical ideas using

multiple representations,

including graphs as

appropriateInstruction 9781457300608 97 #4-7

Review 9781457300608 100 #21-23

Review 9781457300608 91 #5,6

Review 9781457300608 338 #19,20

Review 9781457300608 101 #4-9

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(iv) communicate

mathematical ideas using

multiple representations,

including language as

appropriateInstruction 9781457300608 35 #1-4

Review 9781457300608 37 #17

Instruction 9781457300608 365 #1-2

Review 9781457300608 366 #5

Instruction 9781457300608 495 #1

Page 6 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(v) communicate

mathematical reasoning

using multiple

representations, including

symbols as appropriateInstruction 9781457300608 16-17 ExA, TTA, #8

Review 9781457300608 18 #14-15

Instruction 9781457300608 20 #6

Review 9781457300608 27 #11-14

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(vi) communicate

mathematical reasoning

using multiple

representations, including

diagrams as appropriateInstruction 9781457300608 313 #1-2

Review 9781457300608 315 #11-13

Instruction 9781457300608 379 #2

Review 9781457300608 320 #23-25

Review 9781457300608 67 #6

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(vii) communicate

mathematical reasoning

using multiple

representations, including

graphs as appropriateInstruction 9781457300608 88 #2

Review 9781457300608 90-91 #5,8-10

Instruction 9781457300608 148 #!0

Review 9781457300608 151 #15

Instruction 9781457300608 574 #6,9

Page 7 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(viii) communicate

mathematical reasoning

using multiple

representations, including

language as appropriateInstruction 9781457300608 19 #2

Review 9781457300608 213 #15

Instruction 9781457300608 36 #8,9

Instruction 9781457300608 145 #5-7

Instruction 9781457300608 213 #6

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(ix) communicate

[mathematical ideas']

implications using multiple

representations, including

symbols as appropriateInstruction 9781457300608 117 #13

Review 9781457300608 118 #18,19

Instruction 9781457300608 232 #4-6

Review 9781457300608 234 #15

Review 9781457300608 479 #5-13

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(x) communicate

[mathematical ideas']

implications using multiple

representations, including

diagrams as appropriateInstruction 9781457300608 69 #9

Review 9781457300608 69-70 #13,15-17

Instruction 9781457300608 73 #5,7

Page 8 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(xi) communicate

[mathematical ideas']

implications using multiple

representations, including

graphs as appropriateInstruction 9781457300608 92 ExA TTA

Review 9781457300608 506 #14-17

Instruction 9781457300608 232-233 #4-9

Instruction 9781457300608 456 #1-5

Review 9781457300608 69 #14

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(xii) communicate

[mathematical ideas']

implications using multiple

representations, including

language as appropriateInstruction 9781457300608 69 #10-12

Review 9781457300608 234 #11

Instruction 9781457300608 232-233 #4-9

Instruction 9781457300608 371 #8

Review 9781457300608 380 #23

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(xiii) communicate

[mathematical reasoning's]

implications using multiple

representations, including

symbols as appropriateInstruction 9781457300608 77 #6

Review 9781457300608 108 #15

Instruction 9781457300608 151 #13

Review 9781457300608 151 #15

Page 9 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(xiv) communicate

[mathematical reasoning's]

implications using multiple

representations, including

diagrams as appropriateInstruction 9781457300608 73 #7

Review 9781457300608 69-70 #14-17

Review 9781457300608 75 #14

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(xv) communicate

[mathematical reasoning's]

implications using multiple

representations, including

graphs as appropriateInstruction 9781457300608 97,99 #8-16

Review 9781457300608 70 #15-18

Review 9781457300608 236 #4-10

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(D) communicate

mathematical ideas,

reasoning, and their

implications using multiple

representations, including

symbols, diagrams, graphs,

and language as appropriate

(xvi) communicate

[mathematical reasoning's]

implications using multiple

representations, including

language as appropriateInstruction 9781457300608 344 #19

Review 9781457300608 136 #9-11

Instruction 9781457300608 379 #5-6

Review 9781457300608 380 #23

Instruction 9781457300608 435,437 #8,15

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(E) create and use

representations to organize,

record, and communicate

mathematical ideas

(i) create representations to

organize mathematical ideas

Instruction 9781457300608 148-149 #1-3

Page 10 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Review 9781457300608 100 #21

Instruction 9781457300608 423-424 #2,5

Assessment 9781457300608 121 #8

Review 9781457300608 426 #11

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(E) create and use

representations to organize,

record, and communicate

mathematical ideas

(ii) create representations to

record mathematical ideas

Instruction 9781457300608 231 #2

Review 9781457300608 13 #21,26

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(E) create and use

representations to organize,

record, and communicate

mathematical ideas

(iii) create representations to

communicate mathematical

ideas Instruction 9781457300608 97 #4-7

Review 9781457300608 100 #21,22

Instruction 9781457300608 538 #3,4

Review 9781457300608 196 #15,16

Review 9781457300608 552 #23,24

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(E) create and use

representations to organize,

record, and communicate

mathematical ideas

(iv) use representations to

organize mathematical ideas

Instruction 9781457300608 35 #4

Review 9781457300608 315 #11-13

Instruction 9781457300608 159 #1-4

Review 9781457300608 511 #9,10

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(E) create and use

representations to organize,

record, and communicate

mathematical ideas

(v) use representations to

record mathematical ideas

Instruction 9781457300608 103 #10-15

Review 9781457300608 13 #24

Review 9781457300608 42 #14

Review 9781457300608 91 #8-10

Page 11 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(E) create and use

representations to organize,

record, and communicate

mathematical ideas

(vi) use representations to

communicate mathematical

ideas Instruction 9781457300608 97 #3

Review 9781457300608 541 #14,15

Instruction 9781457300608 538-539 #5-8

Review 9781457300608 562 #7

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(F) analyze mathematical

relationships to connect and

communicate mathematical

ideas

(i) analyze mathematical

relationships to connect

mathematical ideas Instruction 9781457300608 82 #1

Review 9781457300608 443 #12

Instruction 9781457300608 148-149 #1-3

Review 9781457300608 464 #10

Instruction 9781457300608 152-153 #1-7

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(F) analyze mathematical

relationships to connect and

communicate mathematical

ideas

(ii) analyze mathematical

relationships to

communicate mathematical

ideas

Instruction 9781457300608 68-69 #7-9

Review 9781457300608 222 #9-10

Instruction 9781457300608 103 #12

Review 9781457300608 378 #9,18

Instruction 9781457300608 152-153 #1-7

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(G) display, explain, and

justify mathematical ideas

and arguments using precise

mathematical language in

written or oral

communication

(i) display mathematical

ideas using precise

mathematical language in

written or oral

communication

Instruction 9781457300608 288-289 #6,7,12,13

Review 9781457300608 224 #12

Instruction 9781457300608 291 #1-4

Review 9781457300608 375 #20

Instruction 9781457300608 374 #16,17

Page 12 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(G) display, explain, and

justify mathematical ideas

and arguments using precise

mathematical language in

written or oral

communication

(ii) display mathematical

arguments using precise

mathematical language in

written or oral

communication

Instruction 9781457300608 69 #9

Review 9781457300608 224 #14

Review 9781457300608 375 #20,23

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(G) display, explain, and

justify mathematical ideas

and arguments using precise

mathematical language in

written or oral

communication

(iii) explain mathematical

ideas using precise

mathematical language in

written or oral

communication

Instruction 9781457300608 221-222 #2,3,6

Review 9781457300608 223-224 #9-10,12,14

Instruction 9781457300608 374 #19

Review 9781457300608 332 #24

Instruction 9781457300608 428 #6

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(G) display, explain, and

justify mathematical ideas

and arguments using precise

mathematical language in

written or oral

communication

(iv) explain mathematical

arguments using precise

mathematical language in

written or oral

communication

Instruction 9781457300608 73 #5

Review 9781457300608 230 #12

Assessment 9781457300608 353 #5-6

Instruction 9781457300608 97 #5-7

Review 9781457300608 270 #16

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(G) display, explain, and

justify mathematical ideas

and arguments using precise

mathematical language in

written or oral

communication

(v) justify mathematical ideas

using precise mathematical

language in written or oral

communicationInstruction 9781457300608 336 #14

Review 9781457300608 85 #23-34

Instruction 9781457300608 350 #18

Review 9781457300608 531 #26

Instruction 9781457300608 480 #2

Page 13 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(1) Mathematical process standards. The student

uses mathematical processes to acquire and

demonstrate mathematical understanding. The

student is expected to:

(G) display, explain, and

justify mathematical ideas

and arguments using precise

mathematical language in

written or oral

communication

(vi) justify mathematical

arguments using precise

mathematical language in

written or oral

communication

Instruction 9781457300608 73 #4

Review 9781457300608 236 #10

Assessment 9781457300608 173 #16

Instruction 9781457300608 268 #4,5

Review 9781457300608 375 #36

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(A) determine the domain

and range of a linear

function in mathematical

problems; determine

reasonable domain and

range values for real-world

situations, both continuous

and discrete; and represent

domain and range using

inequalities

(i) determine the domain of a

linear function in

mathematical problems

Instruction 9781457300608 89 #2a

Review 9781457300608 94 #7

Assessment 9781457300608 121 #9

Instruction 9781457300608 92 #1

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(A) determine the domain

and range of a linear

function in mathematical

problems; determine

reasonable domain and

range values for real-world

situations, both continuous

and discrete; and represent

domain and range using

inequalities

(ii) determine the range of a

linear function in

mathematical problems

Instruction 9781457300608 89 #2a

Review 9781457300608 94 #7

Assessment 9781457300608 121 #9

Instruction 9781457300608 92 #1

Page 14 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(A) determine the domain

and range of a linear

function in mathematical

problems; determine

reasonable domain and

range values for real-world

situations, both continuous

and discrete; and represent

domain and range using

inequalities

(iii) determine reasonable

domain values for real-world

situations, both continuous

and discrete

Instruction 9781457300608 71 #1,3

Review 9781457300608 86 #26,27

Assessment 9781457300608 249 #2,3

Instruction 9781457300608 92 ExA, TTA, #3

Review 9781457300608 91 #6

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(A) determine the domain

and range of a linear

function in mathematical

problems; determine

reasonable domain and

range values for real-world

situations, both continuous

and discrete; and represent

domain and range using

inequalities

(iv) determine reasonable

range values for real-world

situations, both continuous

and discrete

Instruction 9781457300608 71 #1,3

Review 9781457300608 86 #26,27

Assessment 9781457300608 249 #2,3

Instruction 9781457300608 92 ExA, TTA, #3

Review 9781457300608 229 #7

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(A) determine the domain

and range of a linear

function in mathematical

problems; determine

reasonable domain and

range values for real-world

situations, both continuous

and discrete; and represent

domain and range using

inequalities

(v) represent domain using

inequalities;

Instruction 9781457300608 83 #6

Review 9781457300608 86 #26

Assessment 9781457300608 121 #9

Instruction 9781457300608 92 ExA

Page 15 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(A) determine the domain

and range of a linear

function in mathematical

problems; determine

reasonable domain and

range values for real-world

situations, both continuous

and discrete; and represent

domain and range using

inequalities

(vi) represent range using

inequalities;

Instruction 9781457300608 83 #6

Review 9781457300608 86 #26

Assessment 9781457300608 121 #9

Instruction 9781457300608 92 ExA

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(B) write linear equations in

two variables in various

forms, including y = mx + b ,

Ax + By = C , and y - y 1 =

m(x - x 1 ) , given one point

and the slope and given two

points

(i) write linear equations in

two variables in various

forms, including y = mx + b

given one point and the

slopeInstruction 9781457300608 179-180 TTA, #1-4

Review 9781457300608 177-178 #12,20

Review 9781457300608 180 #5

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(B) write linear equations in

two variables in various

forms, including y = mx + b,

Ax + By = C, and y - y 1 =

m(x - x 1 ) , given one point

and the slope and given two

points

(ii) write linear equations in

two variables in various

forms, including Ax + By =

C , given two points Instruction 9781457300608 189 #13

Review 9781457300608 178 #21

Review 9781457300608 181-182 #10,14

Page 16 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(B) write linear equations in

two variables in various

forms, including y = mx + b,

Ax + By = C , and y - y 1 =

m(x - x 1 ) , given one point

and the slope and given two

points

(iii) write linear equations in

two variables in various

forms, including y - y 1 =

m(x - x 1 ) , given one point

and the slope

Instruction 9781457300608 185 #11

Review 9781457300608 186 #14,17

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(C) write linear equations in

two variables given a table

of values, a graph, and a

verbal description

(i) write linear equations in

two variables given a table

of values

Instruction 9781457300608 99-100 #10,18

Review 9781457300608 100 #24

Assessment 9781457300608 121 #9

Instruction 9781457300608 228 #3

Review 9781457300608 151 #15

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(C) write linear equations in

two variables given a table

of values, a graph, and a

verbal description

(ii) write linear equations in

two variables given a graph

Instruction 9781457300608 181 #8,9

Review 9781457300608 186 #17

Instruction 9781457300608 185 #11

Review 9781457300608 223 #8,11

Instruction 9781457300608 222 #7

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(C) write linear equations in

two variables given a table

of values, a graph, and a

verbal description

(iii) write linear equations in

two variables given a verbal

description

Instruction 9781457300608 113 #11

Review 9781457300608 114 #23

Page 17 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Instruction 9781457300608 117 #13

Review 9781457300608 236 #2,3,11

Instruction 9781457300608 235 #1

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(D) write and solve

equations involving direct

variation

(i) write equations involving

direct variation

Instruction 9781457300608 99-100 #10,18

Review 9781457300608 100 #24

Instruction 9781457300608 140-141 #9,11,12

Review 9781457300608 142-143 #13

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(D) write and solve

equations involving direct

variation

(ii) solve equations involving

direct variation

Instruction 9781457300608 141 #11,12

Review 9781457300608 142-143 #13,18,19

Instruction 9781457300608 150 #7

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(E) write the equation of a

line that contains a given

point and is parallel to a

given line

(i) write the equation of a line

that contains a given point

and is parallel to a given line

Instruction 9781457300608 187-188 #4,8b

Review 9781457300608 189 #16

Page 18 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(F) write the equation of a

line that contains a given

point and is perpendicular to

a given line

(i) write the equation of a line

that contains a given point

and is perpendicular to a

given line; Instruction 9781457300608 189 #11,13

Review 9781457300608 189-190 #17,23

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(G) write an equation of a

line that is parallel or

perpendicular to the X or Y

axis and determine whether

the slope of the line is zero

or undefined

(i) write an equation of a line

that is parallel or

perpendicular to the X or Y

axis Instruction 9781457300608 183 #2,3

Review 9781457300608 190 #24

Instruction 9781457300608 188 #7

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(G) write an equation of a

line that is parallel or

perpendicular to the X or Y

axis and determine whether

the slope of the line is zero

or undefined

(ii) determine whether the

slope of the line is zero or

undefined

Instruction 9781457300608 135-136 #6-8

Review 9781457300608 136 #11

Review 9781457300608 190 #19

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(H) write linear inequalities

in two variables given a table

of values, a graph, and a

verbal description

(i) write linear inequalities in

two variables given a table

of values

Instruction 9781457300608 239 #2-4

Review 9781457300608 241 #13

Page 19 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(H) write linear inequalities

in two variables given a table

of values, a graph, and a

verbal description

(ii) write linear inequalities in

two variables given a graph

Instruction 9781457300608 244 #4

Review 9781457300608 246 #13

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(H) write linear inequalities

in two variables given a table

of values, a graph, and a

verbal description

(iii) write linear inequalities in

two variables given a verbal

description

Instruction 9781457300608 239 #2-4

Review 9781457300608 241 #10

Assessment 9781457300608 249 #1

Review 9781457300608 246 #8

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(I) write systems of two

linear equations given a

table of values, a graph, and

a verbal description

(i) write systems of two linear

equations given a table of

values

Instruction 9781457300608 259 Try These A

Review 9781457300608 260 #18

Page 20 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(I) write systems of two

linear equations given a

table of values, a graph, and

a verbal description

(ii) write systems of two

linear equations given a

graph

Instruction 9781457300608 264 Teacher to Teacher

Review 9781457300608 255 #16

(2) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using properties of linear functions

to write and represent in multiple ways, with and

without technology, linear equations, inequalities,

and systems of equations. The student is expected

to:

(I) write systems of two

linear equations given a

table of values, a graph, and

a verbal description

(iii) write systems of two

linear equations given a

verbal description

Instruction 9781457300608 258 ExA

Review 9781457300608 260 #16

Instruction 9781457300608 262 ExB

Review 9781457300608 266 #8,9,11-13

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(A) determine the slope of a

line given a table of values,

a graph, two points on the

line, and an equation written

in various forms, including y

= mx + b, Ax + By = C , and

y - y 1 = m(x - x 1 )

(i) determine the slope of a

line given a table of values

Instruction 9781457300608 134 #3

Review 9781457300608 127 #18

Review 9781457300608 132 #5

Review 9781457300608 136 #13

Instruction 9781457300608 128 #1b

Page 21 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(A) determine the slope of a

line given a table of values,

a graph, two points on the

line, and an equation written

in various forms, including y

= mx + b, Ax + By = C , and

y - y 1 = m(x - x 1 )

(ii) determine the slope of a

line given a graph

Instruction 9781457300608 125 #9

Review 9781457300608 127 #19

Instruction 9781457300608 134-135 #4-7

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(A) determine the slope of a

line given a table of values,

a graph, two points on the

line, and an equation written

in various forms, including y

= mx + b, Ax + By = C , and

y - y 1 = m(x - x 1 )

(iii) determine the slope of a

line given two points on the

line

Instruction 9781457300608 124 #4

Review 9781457300608 127 #12,13,15-17

Instruction 9781457300608 134 #3a

Review 9781457300608 132 #7

Review 9781457300608 136 #14

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(A) determine the slope of a

line given a table of values,

a graph, two points on the

line, and an equation written

in various forms, including y

= mx + b, Ax + By = C , and

y - y 1 = m(x - x 1 )

(iv) determine the slope of a

line given an equation

written in various forms,

including y = mx + bInstruction 9781457300608 153 #8,13

Review 9781457300608 153 #9,10

Instruction 9781457300608 175 #4

Review 9781457300608 190 #20

Page 22 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(A) determine the slope of a

line given a table of values,

a graph, two points on the

line, and an equation written

in various forms, including y

= mx + b, Ax + By = C , and

y - y 1 = m(x - x 1 )

(v) determine the slope of a

line given an equation

written in various forms,

including Ax + By = CInstruction 9781457300608 183 #1

Review 9781457300608 178 #19

Review 9781457300608 186 #15

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(A) determine the slope of a

line given a table of values,

a graph, two points on the

line, and an equation written

in various forms, including y

= mx + b, Ax + By = C , and

y - y 1 = m(x - x 1 )

(vi) determine the slope of a

line given an equation

written in various forms,

including y - y 1 = m(x - x 1 )Instruction 9781457300608 180 #1-4

Review 9781457300608 181-182 #10,11,15a

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(B) calculate the rate of

change of a linear function

represented tabularly,

graphically, or algebraically

in context of mathematical

and real-world problems

(i) calculate the rate of

change of a linear function

represented tabularly,

graphically, or algebraically

in context of mathematical

problems

Instruction 9781457300608 126 #10,11

Review 9781457300608 127 #14

Instruction 9781457300608 130 #3

Review 9781457300608 132 #4,5

Instruction 9781457300608 133-135 #1-7

Page 23 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(B) calculate the rate of

change of a linear function

represented tabularly,

graphically, or algebraically

in context of mathematical

and real-world problems

(ii) calculate the rate of

change of a linear function

represented tabularly,

graphically, or algebraically

in context of real-world

problems

Instruction 9781457300608 128 #1

Review 9781457300608 132 #6

Instruction 9781457300608 211-213 #1-8

Review 9781457300608 213-214 #9,13

Review 9781457300608 230 #8,9

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(i) graph linear functions on

the coordinate plane in

mathematical problems

Instruction 9781457300608 111,113 #3,12

Review 9781457300608 136 #12

Instruction 9781457300608 176 #5

Review 9781457300608 236 #6-7

Review 9781457300608 220 #7

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(ii) graph linear functions on

the coordinate plane in real-

world problems

Instruction 9781457300608 128-130 #1-3

Review 9781457300608 234 #14

Assessment 9781457300608 121 #10

Instruction 9781457300608 149-150 #3,8

Review 9781457300608 236 #4

Page 24 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(iii) identify key features,

including x-intercept in

mathematical problems

Instruction 9781457300608 111 #3

Review 9781457300608 118 #14

Instruction 9781457300608 115 #3,4

Review 9781457300608 186 #15

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(iv) identify key features,

including x-intercept in real-

world problems

Instruction 9781457300608 185 #9

Review 9781457300608 229 #7

Instruction 9781457300608 227 #1c

Instruction 9781457300608 244 #4

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(v) identify key features,

including y-intercept in

mathematical problems

Instruction 9781457300608 89 #2

Review 9781457300608 114 #16

Instruction 9781457300608 111 #3,13

Review 9781457300608 182 #14

Page 25 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(vi) identify key features,

including y-intercept in real-

world problems

Instruction 9781457300608 82-83 #1,7

Review 9781457300608 86 #28

Instruction 9781457300608 99 #15

Review 9781457300608 186 #18

Instruction 9781457300608 140 #10

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(vii) identify key features,

including zeros in

mathematical problems

Instruction 9781457300608 111 #3c,d

Activity 9781457300608 120 #6,7

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(viii) identify key features,

including zeros in real-world

problems

Instruction 9781457300608 229 #4f

Review 9781457300608 229 #5

Page 26 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(ix) identify key features,

including slope in

mathematical problems

Instruction 9781457300608 123 #9

Review 9781457300608 127 #14,19

Instruction 9781457300608 133-136 #1-8

Instruction 9781457300608 235 #1

Review 9781457300608 234 #15

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(C) graph linear functions on

the coordinate plane and

identify key features,

including x -intercept, y -

intercept, zeros, and slope,

in mathematical and real-

world problems

(x) identify key features,

including slope in real-world

problems

Instruction 9781457300608 128-130 #1-3

Review 9781457300608 223 #8

Review 9781457300608 236 #9

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(D) graph the solution set of

linear inequalities in two

variables on the coordinate

plane

(i) graph the solution set of

linear inequalities in two

variables on the coordinate

planeInstruction 9781457300608 240 #5

Review 9781457300608 241 #7-9

Instruction 9781457300608 242-244 ExA, ExB, TTA, TTB, #3

Review 9781457300608 246 #5-12

Page 27 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(E) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by af(x), f(x) + d, f(x

- c), f(bx) for specific values

of a, b, c, and d

(i) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by af(x) for specific

values of aInstruction 9781457300608 442 #6

Review 9781457300608 443 #14

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(E) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by af(x), f(x) + d, f(x

- c), f(bx) for specific values

of a, b, c, and d

(ii) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by f(x) + d for

specific values of dInstruction 9781457300608 111,113 #1-3,7,14

Review 9781457300608 113-114 #10,21-23

Assessment 9781457300608 121 #12

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(E) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by af(x), f(x) + d, f(x

- c), f(bx) for specific values

of a, b, c , and d

(iii) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by f(x - c) for

specific values of cInstruction 9781457300608 117 #13

Review 9781457300608 118 #20

Page 28 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(E) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by af(x), f(x) + d, f(x

- c), f(bx) for specific values

of a, b, c, and d

(iv) determine the effects on

the graph of the parent

function f(x) = x when f(x) is

replaced by f(bx) for specific

values of bInstruction 9781457300608 442 #6

Review 9781457300608 443 #14

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(F) graph systems of two

linear equations in two

variables on the coordinate

plane and determine the

solutions if they exist

(i) graph systems of two

linear equations in two

variables on the coordinate

planeInstruction 9781457300608 251,253 #4,7,9

Review 9781457300608 236 #4

Instruction 9781457300608 269 #7

Review 9781457300608 255 #12,14

Review 9781457300608 266 #10

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(F) graph systems of two

linear equations in two

variables on the coordinate

plane and determine the

solutions if they exist

(ii) determine the solutions if

they exist

Instruction 9781457300608 253 #10

Review 9781457300608 255 #11,13,15

Instruction 9781457300608 264 #2-3,5-6

Instruction 9781457300608 267-269 #1,2,6,7

Review 9781457300608 270 #8-11

Page 29 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(G) estimate graphically the

solutions to systems of two

linear equations with two

variables in real-world

problems

(i) estimate graphically the

solutions to systems of two

linear equations with two

variables in real-world

problems; andInstruction 9781457300608 251,253 #8,9

Review 9781457300608 236 #4,5

Assessment 9781457300608 283 #1

Review 9781457300608 255 #14

(3) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards when using graphs of linear functions,

key features, and related transformations to

represent in multiple ways and solve, with and

without technology, equations, inequalities, and

systems of equations. The student is expected to:

(H) graph the solution set of

systems of two linear

inequalities in two variables

on the coordinate plane

(i) graph the solution set of

systems of two linear

inequalities in two variables

on the coordinate plane.Instruction 9781457300608 273-274 #1-6

Review 9781457300608 276-277 #7-8,11-14

Assessment 9781457300608 283 #2

Instruction 9781457300608 276,278 #1-3

Review 9781457300608 280 #4-12

(4) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to formulate statistical relationships and

evaluate their reasonableness based on real-world

data. The student is expected to:

(A) calculate, using

technology, the correlation

coefficient between two

quantitative variables and

interpret this quantity as a

measure of the strength of

the linear association

(i) calculate, using

technology, the correlation

coefficient between two

quantitative variables Instruction 9781457300608 564 #2

Review 9781457300608 566-567 #8,9,12-14

Page 30 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(4) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to formulate statistical relationships and

evaluate their reasonableness based on real-world

data. The student is expected to:

(A) calculate, using

technology, the correlation

coefficient between two

quantitative variables and

interpret this quantity as a

measure of the strength of

the linear association

(ii) interpret this quantity as a

measure of the strength of

the linear association;

Instruction 9781457300608 560-561 #3-6

Review 9781457300608 561,563 #7-13

Instruction 9781457300608 564 #1

Review 9781457300608 586 #11

(4) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to formulate statistical relationships and

evaluate their reasonableness based on real-world

data. The student is expected to:

(B) compare and contrast

association and causation in

real-world problems

(i) compare and contrast

association and causation in

real-world problems;Instruction 9781457300608 197 #1-3

Review 9781457300608 563 #11-12

Review 9781457300608 567 #10-11

Assessment 9781457300608 198 #4,5

(4) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to formulate statistical relationships and

evaluate their reasonableness based on real-world

data. The student is expected to:

(C) write, with and without

technology, linear functions

that provide a reasonable fit

to data to estimate solutions

and make predictions for real-

world problems

(i) write, with technology,

linear functions that provide

a reasonable fit to data to

estimate solutions Instruction 9781457300608 198 #6

Review 9781457300608 199 #11,14

Review 9781457300608 580 #17

Assessment 9781457300608 199 #7

(4) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to formulate statistical relationships and

evaluate their reasonableness based on real-world

data. The student is expected to:

(C) write, with and without

technology, linear functions

that provide a reasonable fit

to data to estimate solutions

and make predictions for real-

world problems

(ii) write, without technology,

linear functions that provide

a reasonable fit to data to

estimate solutions Instruction 9781457300608

193-194

#7,8

Review 9781457300608 151 #15

Instruction 9781457300608 216-217 #8,9

Page 31 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Assessment 9781457300608 218 #10-13

(4) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to formulate statistical relationships and

evaluate their reasonableness based on real-world

data. The student is expected to:

(C) write, with and without

technology, linear functions

that provide a reasonable fit

to data to estimate solutions

and make predictions for real-

world problems

(iii) make predictions for real-

world problems.

Instruction 9781457300608 574

#6-9

Review 9781457300608 576 #12-14

Assessment 9781457300608 575 #10,11

Assessment 9781457300608 580 #14

(5) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to solve, with and without technology,

linear equations and evaluate the reasonableness

of their solutions. The student is expected to:

(A) solve linear equations in

one variable, including those

for which the application of

the distributive property is

necessary and for which

variables are included on

both sides

(i) solve linear equations in

one variable, including those

for which the application of

the distributive property is

necessaryInstruction 9781457300608 15 #3

Review 9781457300608 24 #10,13

Instruction 9781457300608 22 #2

Assessment 9781457300608 26 #3-5

(5) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to solve, with and without technology,

linear equations and evaluate the reasonableness

of their solutions. The student is expected to:

(A) solve linear equations in

one variable, including those

for which the application of

the distributive property is

necessary and for which

variables are included on

both sides

(ii) solve linear equations in

one variable, including those

for which variables are

included on both sides;Instruction 9781457300608 22 #2a,d

Review 9781457300608 24 #6-11

Assessment 9781457300608 33 #2

Review 9781457300608 27 #15-20

Instruction 9781457300608 26 #7

Page 32 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(5) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to solve, with and without technology,

linear equations and evaluate the reasonableness

of their solutions. The student is expected to:

(B) solve linear inequalities

in one variable, including

those for which the

application of the distributive

property is necessary and for

which variables are included

on both sides

(i) solve linear inequalities in

one variable, including those

for which the application of

the distributive property is

necessaryInstruction 9781457300608 41 TTA b,c

Review 9781457300608 42 #20,22,23

(5) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to solve, with and without technology,

linear equations and evaluate the reasonableness

of their solutions. The student is expected to:

(B) solve linear inequalities

in one variable, including

those for which the

application of the distributive

property is necessary and for

which variables are included

on both sides

(ii) solve linear inequalities in

one variable, including those

for which variables are

included on both sides;Instruction 9781457300608 41 TTA b,c

Review 9781457300608 42 #20,22,23

(5) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to solve, with and without technology,

linear equations and evaluate the reasonableness

of their solutions. The student is expected to:

(C) solve systems of two

linear equations with two

variables for mathematical

and real-world problems

(i) solve systems of two

linear equations with two

variables for mathematical

problems. Instruction 9781457300608 259 TTA

Review 9781457300608 260 #15,16

Instruction 9781457300608 261,263 ExA, TTA, TTB

Assessment 9781457300608 257 #7,12,13

Review 9781457300608 263 #7

Page 33 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(5) Linear functions, equations, and inequalities.

The student applies the mathematical process

standards to solve, with and without technology,

linear equations and evaluate the reasonableness

of their solutions. The student is expected to:

(C) solve systems of two

linear equations with two

variables for mathematical

and real-world problems

(ii) solve systems of two

linear equations with two

variables for real-world

problems. Instruction 9781457300608 256-258 #1-6,9-11, ExA

Review 9781457300608 260 #16

Instruction 9781457300608 262-263 #1,2,ExB

Assessment 9781457300608 283 #1

Review 9781457300608 263 #4-6

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(A) determine the domain

and range of quadratic

functions and represent the

domain and range using

inequalities

(i) determine the domain of

quadratic functions

Instruction 9781457300608 88 TTA

Review 9781457300608 104 #18,22

Instruction 9781457300608 101 #3,5

Assessment 9781457300608 430 #11c

Instruction 9781457300608 435,437 #6-8,13,14

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(A) determine the domain

and range of quadratic

functions and represent the

domain and range using

inequalities

(ii) determine the range of

quadratic functions

Instruction 9781457300608 88 TTA

Review 9781457300608 104 #22

Instruction 9781457300608 101 #5,13

Assessment 9781457300608 430 #11c

Instruction 9781457300608 435,437 #6-8,13,14

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(A) determine the domain

and range of quadratic

functions and represent the

domain and range using

inequalities

(iii) represent the domain

using inequalities;

Instruction 9781457300608 101 #5

Review 9781457300608 430 #15

Page 34 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Instruction 9781457300608 428 #5

Assessment 9781457300608 430 #11c

Review 9781457300608 439 #21

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(A) determine the domain

and range of quadratic

functions and represent the

domain and range using

inequalities

(iv) represent the range

using inequalities;

Instruction 9781457300608 88 TTA

Review 9781457300608 430 #15

Instruction 9781457300608 101 #5

Assessment 9781457300608 430 #11c

Review 9781457300608 439 #21

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(B) write equations of

quadratic functions given the

vertex and another point on

the graph, write the equation

in vertex form (f(x) = a(x -

h)2+ k) , and rewrite the

equation from vertex form to

standard form (f(x) = ax2+

bx + c)

(i) write equations of

quadratic functions given the

vertex and another point on

the graph

Instruction 9781457300608 448 ExA, TTA

Review 9781457300608 450 #19

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(B) write equations of

quadratic functions given the

vertex and another point on

the graph, write the equation

in vertex form (f(x) = a(x -

h)2+ k) , and rewrite the

equation from vertex form to

standard form (f(x) = ax2+

bx + c)

(ii) write the equation [of

quadratic functions] in vertex

form (f(x) = a(x - h)2+ k)

Instruction 9781457300608 448 ExA

Review 9781457300608 450 #18s

Instruction 9781457300608 472 ExB, TTA

Page 35 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(B) write equations of

quadratic functions given the

vertex and another point on

the graph, write the equation

in vertex form (f(x) = a(x -

h)2+ k) , and rewrite the

equation from vertex form to

standard form (f(x) = ax2+

bx + c)

(iii) rewrite the equation [of

quadratic functions] from

vertex form to standard form

(f(x) = ax2+ bx + c)

Instruction 9781457300608 448 ExA, TTA

Review 9781457300608 430 #12

Assessment 9781457300608 453 #3

Assessment 9781457300608 426 #14

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(C) write quadratic functions

when given real solutions

and graphs of their related

equations

(i) write quadratic functions

when given real solutions

Instruction 9781457300608 425 #9

Review 9781457300608 458 #21

(6) Quadratic functions and equations. The student

applies the mathematical process standards when

using properties of quadratic functions to write and

represent in multiple ways, with and without

technology, quadratic equations. The student is

expected to:

(C) write quadratic functions

when given real solutions

and graphs of their related

equations

(ii) write graphs of their

related equations.

Instruction 9781457300608 448 ExA, TTA

Review 9781457300608 450 #19

Assessment 9781457300608 117 #12

Page 36 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(i) graph quadratic functions

on the coordinate plane

Instruction 9781457300608 101,103 #4,11

Review 9781457300608 104 #17,21

Assessment 9781457300608 453 #1

Instruction 9781457300608 427 #1

Review 9781457300608 426 #17

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(ii) use the graph to identify

key attributes, if possible,

including x -intercept

Instruction 9781457300608 101 #8

Review 9781457300608 458 #17

Instruction 9781457300608 429 #8

Instruction 9781457300608 455-456 #3,4,7,9

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(iii) use the graph to identify

key attributes, if possible,

including y -intercept

Instruction 9781457300608 88 TTA

Review 9781457300608 104 #19,23

Instruction 9781457300608 101,103 #6,7,14

Page 37 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(iv) use the graph to identify

key attributes, if possible,

including zeros

Instruction 9781457300608 459 #2

Review 9781457300608 464 #5-9

Instruction 9781457300608 462 ExA, TTA

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(v) use the graph to identify

key attributes, if possible,

including maximum value

Instruction 9781457300608 88 TTA

Review 9781457300608 104 #20

Instruction 9781457300608 101 #9,15

Assessment 9781457300608 453 #1,4

Review 9781457300608 430 #14

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(vi) use the graph to identify

key attributes, if possible,

including minimum values

Instruction 9781457300608 87 TTA

Review 9781457300608 104 #20

Instruction 9781457300608 101 #9

Assessment 9781457300608 453 #1

Review 9781457300608 430 #14

Page 38 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(vii) use the graph to identify

key attributes, if possible,

including vertex

Instruction 9781457300608 427 #2

Review 9781457300608 439 #21,22

Instruction 9781457300608 433,435,437 #1, 2, 6-8, 13, 14

Assessment 9781457300608 453 #1

Review 9781457300608 461 #13

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(A) graph quadratic

functions on the coordinate

plane and use the graph to

identify key attributes, if

possible, including x -

intercept, y -intercept, zeros,

maximum value, minimum

values, vertex, and the

equation of the axis of

symmetry

(viii) use the graph to identify

key attributes, if possible,

including the equation of the

axis of symmetry

Instruction 9781457300608 433,435,437 #3, 6-8, 13, 14

Review 9781457300608 439 #21

Instruction 9781457300608 440 #1,2

Assessment 9781457300608 453 #1

Review 9781457300608 461 #8-12

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(B) describe the relationship

between the linear factors of

quadratic expressions and

the zeros of their associated

quadratic functions

(i) describe the relationship

between the linear factors of

quadratic expressions and

the zeros of their associated

quadratic functionsInstruction 9781457300608 457 #7-11

Review 9781457300608 458 #23

Assessment 9781457300608 458 #13-16

Page 39 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(C) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by af(x), f(x) + d,

f(x - c), f(bx) for specific

values of a, b, c, and d

(i) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by af(x) for

specific values of aInstruction 9781457300608 440 #1-3

Review 9781457300608 443 #10-12

Instruction 9781457300608 444 #1-3

Assessment 9781457300608 442 #6-9

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(C) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by af(x), f(x) + d,

f(x - c), f(bx) for specific

values of a, b, c, and d

(ii) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by f(x) + d for

specific values of dInstruction 9781457300608 435 #8,9

Review 9781457300608 114 #17-20

Instruction 9781457300608 445 #4-7, 11, 12

Assessment 9781457300608 113 #9

Review 9781457300608 439 #20-22

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(C) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by af(x), f(x) + d,

f(x - c), f(bx) for specific

values of a, b, c , and d

(iii) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by f(x - c) for

specific values of cInstruction 9781457300608 437 #13,14

Review 9781457300608 118 #16,17

Instruction 9781457300608 446-447 #8, 9, 11, 12

Assessment 9781457300608 117 #11

Review 9781457300608 439 #21,22

Page 40 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(7) Quadratic functions and equations. The student

applies the mathematical process standards when

using graphs of quadratic functions and their related

transformations to represent in multiple ways and

determine, with and without technology, the

solutions to equations. The student is expected to:

(C) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by af(x), f(x) + d,

f(x - c), f(bx) for specific

values of a, b, c, and d

(iv) determine the effects on

the graph of the parent

function f(x) = x2 when f(x)

is replaced by f(bx) for

specific values of bInstruction 9781457300608 440 #1-3

Review 9781457300608 443 #10-12

Instruction 9781457300608 444-447,449 #1-9, 11-12, 14-15

Assessment 9781457300608 442 #6-9

Review 9781457300608 450 #17-19

(8) Quadratic functions and equations. The student

applies the mathematical process standards to

solve, with and without technology, quadratic

equations and evaluate the reasonableness of their

solutions. The student formulates statistical

relationships and evaluates their reasonableness

based on real-world data. The student is expected

to:

(A) solve quadratic

equations having real

solutions by factoring, taking

square roots, completing the

square, and applying the

quadratic formula

(i) solve quadratic equations

having real solutions by

factoring

Instruction 9781457300608 456-457 ExA, TTA, #10

Review 9781457300608 458 #18-20

Assessment 9781457300608 458 #13-16

(8) Quadratic functions and equations. The student

applies the mathematical process standards to

solve, with and without technology, quadratic

equations and evaluate the reasonableness of their

solutions. The student formulates statistical

relationships and evaluates their reasonableness

based on real-world data. The student is expected

to:

(A) solve quadratic

equations having real

solutions by factoring, taking

square roots, completing the

square, and applying the

quadratic formula

(ii) solve quadratic equations

having real solutions by

taking square roots

Instruction 9781457300608 468-469 EX A, TTA, EX B, TTB

Review 9781457300608 470 #10-16

Assessment 9781457300608 493 #1

Assessment 9781457300608 470 #6-9

Page 41 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(8) Quadratic functions and equations. The student

applies the mathematical process standards to

solve, with and without technology, quadratic

equations and evaluate the reasonableness of their

solutions. The student formulates statistical

relationships and evaluates their reasonableness

based on real-world data. The student is expected

to:

(A) solve quadratic

equations having real

solutions by factoring, taking

square roots, completing the

square, and applying the

quadratic formula

(iii) solve quadratic

equations having real

solutions by completing the

square

Instruction 9781457300608 471-472 EX A, TTA, EX B, TTB

Review 9781457300608 473 #3-10

Assessment 9781457300608 493 #1

Assessment 9781457300608 473 #1-2

(8) Quadratic functions and equations. The student

applies the mathematical process standards to

solve, with and without technology, quadratic

equations and evaluate the reasonableness of their

solutions. The student formulates statistical

relationships and evaluates their reasonableness

based on real-world data. The student is expected

to:

(A) solve quadratic

equations having real

solutions by factoring, taking

square roots, completing the

square, and applying the

quadratic formula

(iv) solve quadratic

equations having real

solutions by factoring

applying the quadratic

formula Instruction 9781457300608 475 EX A, TTA

Review 9781457300608 476 #3-9

Assessment 9781457300608 493 #1

Assessment 9781457300608 476 #1-2

Review 9781457300608 490 #7,8

(8) Quadratic functions and equations. The student

applies the mathematical process standards to

solve, with and without technology, quadratic

equations and evaluate the reasonableness of their

solutions. The student formulates statistical

relationships and evaluates their reasonableness

based on real-world data. The student is expected

to:

(B) write, using technology,

quadratic functions that

provide a reasonable fit to

data to estimate solutions

and make predictions for real-

world problems

(i) write, using technology,

quadratic functions that

provide a reasonable fit to

data to estimate solutions

Instruction 9781457300608 486 #3

Review 9781457300608 487 #9

Assessment 9781457300608 487 #7,8

Page 42 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(8) Quadratic functions and equations. The student

applies the mathematical process standards to

solve, with and without technology, quadratic

equations and evaluate the reasonableness of their

solutions. The student formulates statistical

relationships and evaluates their reasonableness

based on real-world data. The student is expected

to:

(B) write, using technology,

quadratic functions that

provide a reasonable fit to

data to estimate solutions

and make predictions for real-

world problems

(ii) write, using technology,

quadratic functions that

provide a reasonable fit to

data to make predictions for

real-world problemsInstruction 9781457300608 486 #3,4

Review 9781457300608 487 #10,11

Instruction 9781457300608 488-489 #1-4

Assessment 9781457300608 493 #3

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(A) determine the domain

and range of exponential

functions of the form f(x) =

abx and represent the

domain and range using

inequalities

(i) determine the domain of

exponential functions of the

form f(x) = abx

Instruction 9781457300608 89 #3,4

Review 9781457300608 328 #26

Instruction 9781457300608 106-107 #6,9

Assessment 9781457300608 353 #3

Instruction 9781457300608 327 #12

Page 43 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(A) determine the domain

and range of exponential

functions of the form f(x) =

abx and represent the

domain and range using

inequalities

(ii) determine the range of

exponential functions of the

form f(x) = abx

Instruction 9781457300608 89 #3,4

Review 9781457300608 328 #26

Instruction 9781457300608 106-107 #6,9

Assessment 9781457300608 353 #3

Instruction 9781457300608 327 #12

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(A) determine the domain

and range of exponential

functions of the form f(x) =

abx and represent the

domain and range using

inequalities

(iii) represent the domain [of

exponential functions of the

form f(x) = abx] using

inequalities

Instruction 9781457300608 89-90 #3,4

Review 9781457300608 328 #26

Page 44 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(A) determine the domain

and range of exponential

functions of the form f(x) =

abx and represent the

domain and range using

inequalities

(iv) represent the range [of

exponential functions of the

form f(x) = abx] using

inequalities

Instruction 9781457300608 89-90 #3,4

Review 9781457300608 328 #26

Review 9781457300608 346 #27

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(B) interpret the meaning of

the values of a and b in

exponential functions of the

form f(x) = abx in real-world

problems

(i) interpret the meaning of

the values of a exponential

functions of the form f(x) =

abx in real-world problems

Instruction 9781457300608 327 #11,13

Review 9781457300608 338 #21-23

Instruction 9781457300608 348 #6

Assessment 9781457300608 335 #5-6

Instruction 9781457300608 334 #4

Page 45 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(B) interpret the meaning of

the values of a and b in

exponential functions of the

form f(x) = abx in real-world

problems

(ii) interpret the meaning of

the values of b in

exponential functions of the

form f(x) = abx in real-world

problems

Instruction 9781457300608 327 #15

Assessment 9781457300608 328 #20

Instruction 9781457300608 331 #10,12

Instruction 9781457300608 334 #4

Instruction 9781457300608 348 #4,5

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(C) write exponential

functions in the form f(x) =

abx (where b is a rational

number) to describe

problems arising from

mathematical and real-world

situations, including growth

and decay

(i) write exponential functions

in the form f(x) = abx (where

b is a rational number) to

describe problems arising

from mathematical situations

Instruction 9781457300608 113 #8

Review 9781457300608 346 #26,27

Instruction 9781457300608 341-344 #1-9, 14, 17

Assessment 9781457300608 353 #1,2

Instruction 9781457300608 349 #12-14

Page 46 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(C) write exponential

functions in the form f(x) =

abx (where b is a rational

number) to describe

problems arising from

mathematical and real-world

situations, including growth

and decay

(ii) write exponential

functions in the form f(x) =

abx (where b is a rational

number) to describe

problems arising from real-

world situations, including

growth Instruction 9781457300608 341-345 #1-9, 14, 17, 21, 22

Review 9781457300608 346 #26,27

Instruction 9781457300608 349 #12-14

Assessment 9781457300608 353 #1,2

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(C) write exponential

functions in the form f(x) =

abx (where b is a rational

number) to describe

problems arising from

mathematical and real-world

situations, including growth

and decay

(iii) write exponential

functions in the form f(x) =

abx (where b is a rational

number) to describe

problems arising from real-

world situations, including

decay Instruction 9781457300608 329-330 #1-6

Review 9781457300608 332 #23

Page 47 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(D) graph exponential

functions that model growth

and decay and identify key

features, including y -

intercept and asymptote, in

mathematical and real-world

problems

(i) graph exponential

functions that model growth

Instruction 9781457300608 116 #10

Review 9781457300608 328 #23

Instruction 9781457300608 327 #14

Assessment 9781457300608 353 #4

332 #21,22

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(D) graph exponential

functions that model growth

and decay and identify key

features, including y -

intercept and asymptote, in

mathematical and real-world

problems

(ii) graph exponential

functions that model decay

Instruction 9781457300608 106 #4

Review 9781457300608 332 #21,23

Instruction 9781457300608 330-331 #6,13

Page 48 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(D) graph exponential

functions that model growth

and decay and identify key

features, including y -

intercept and asymptote, in

mathematical and real-world

problems

(iii) identify key features,

including y -intercept, in

mathematical problems

Instruction 9781457300608 327 #15

Review 9781457300608 350 #24

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(D) graph exponential

functions that model growth

and decay and identify key

features, including y -

intercept and asymptote, in

mathematical and real-world

problems

(iv) identify key features,

including y -intercept, in real-

world problems

Instruction 9781457300608 106 #7

Activity 9781457300608 110 #16

Page 49 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(D) graph exponential

functions that model growth

and decay and identify key

features, including y -

intercept and asymptote, in

mathematical and real-world

problems

(v) identify key features,

including asymptote, in

mathematical problems

Instruction 9781457300608 334 #4

Activity 9781457300608 340 #31c

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(D) graph exponential

functions that model growth

and decay and identify key

features, including y -

intercept and asymptote, in

mathematical and real-world

problems

(vi) identify key features,

including asymptote, in real-

world problems

Instruction 9781457300608 106 #5

Activity 9781457300608 110 #18

Page 50 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(E) write, using technology,

exponential functions that

provide a reasonable fit to

data and make predictions

for real-world problems

(i) write, using technology,

exponential functions that

provide a reasonable fit to

data

Instruction 9781457300608 348 #4

Review 9781457300608 350 #21,23

(9) Exponential functions and equations. The

student applies the mathematical process standards

when using properties of exponential functions and

their related transformations to write, graph, and

represent in multiple ways exponential equations

and evaluate, with and without technology, the

reasonableness of their solutions. The student

formulates statistical relationships and evaluates

their reasonableness based on real-world data. The

student is expected to:

(E) write, using technology,

exponential functions that

provide a reasonable fit to

data and make predictions

for real-world problems

(ii) make predictions for real-

world problems

Instruction 9781457300608 105-106 #1-3

Activity 9781457300608 340 #3,8

Instruction 9781457300608 325-327 #9, 10, 1, -17

Instruction 9781457300608 331-332 #9, 15-17

Instruction 9781457300608 343 #15,16

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(A) add and subtract

polynomials of degree one

and degree two

(i) add polynomials of degree

one

Instruction 9781457300608 360 TTA

Page 51 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Activity 9781457300608 368 #11,15-16

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(A) add and subtract

polynomials of degree one

and degree two

(ii) add polynomials of

degree two

Instruction 9781457300608 360,362 EX A, TTA, TTB

Review 9781457300608 363 #12-15

Assessment 9781457300608 363 #8-10

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(A) add and subtract

polynomials of degree one

and degree two

(iii) subtract polynomials of

degree one

Instruction 9781457300608 364 TTA

Activity 9781457300608 368 #18

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(A) add and subtract

polynomials of degree one

and degree two

(iv) subtract polynomials of

degree two

Instruction 9781457300608 364 TTA

Review 9781457300608 366 #6-11

Assessment 9781457300608 366 #3-4

Page 52 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(B) multiply polynomials of

degree one and degree two

(i) multiply polynomials of

degree one

Instruction 9781457300608 372,374 #11,12,18

Review 9781457300608 378 #10-18

Instruction 9781457300608 377 #1-6

Assessment 9781457300608 378 #7-9

Review 9781457300608 380 #13-16, 21-22

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(B) multiply polynomials of

degree one and degree two

(ii) multiply polynomials of

degree two

Instruction 9781457300608

379 #1-3

Review 9781457300608 380 #17-20

Assessment 9781457300608 380 #11

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(C) determine the quotient

of a polynomial of degree

one and polynomial of

degree two when divided by

a polynomial of degree one

and polynomial of degree

two when the degree of the

divisor does not exceed the

degree of the dividend

(i) determine the quotient of

a polynomial of degree one

when divided by a

polynomial of degree one

Instruction 9781457300608 405 EX D TTD

Review 9781457300608 405 #10

Page 53 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(C) determine the quotient

of a polynomial of degree

one and polynomial of

degree two when divided by

a polynomial of degree one

and polynomial of degree

two when the degree of the

divisor does not exceed the

degree of the dividend

(ii) determine the quotient of

a polynomial of degree two

when divided by a

polynomial of degree one

Instruction 9781457300608 407,409 ExC TTD

Review 9781457300608 410 #5, 8-11, 13

Assessment 9781457300608 405 #1,2

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(C) determine the quotient

of a polynomial of degree

one and polynomial of

degree two when divided by

a polynomial of degree one

and polynomial of degree

two when the degree of the

divisor does not exceed the

degree of the dividend

(iii) determine the quotient of

a polynomial of degree two

when divided by a

polynomial of degree two

Instruction 9781457300608 410 #1

Review 9781457300608 410 #12

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(D) rewrite polynomial

expressions of degree one

and degree two in equivalent

forms using the distributive

property

(i) rewrite polynomial

expressions of degree one in

equivalent forms using the

distributive property Instruction 9781457300608 386 TTA a

Assessment 9781457300608 386 #6

Page 54 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(D) rewrite polynomial

expressions of degree one

and degree two in equivalent

forms using the distributive

property

(ii) rewrite polynomial

expressions of degree two in

equivalent forms using the

distributive property Instruction 9781457300608 386 TTA c

Review 9781457300608 390 #27-29

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(E) factor, if possible,

trinomials with real factors in

the form ax2 + bx + c ,

including perfect square

trinomials of degree two

(i) factor, if possible,

trinomials with real factors in

the form ax2 + bx + c ,

including perfect square

trinomials of degree two

Instruction 9781457300608 389 #7

Review 9781457300608 390 #19, 21, 22, 26, 27, 29

Instruction 9781457300608 395 ExA TTA

Assessment 9781457300608 389 #8-10

Review 9781457300608 397 #12-18

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(F) decide if a binomial can

be written as the difference

of two squares and, if

possible, use the structure of

a difference of two squares

to rewrite the binomial

(i) decide if a binomial can

be written as the difference

of two squares

Instruction 9781457300608 389-390 #11,13-15

Review 9781457300608 390 #20,23,24

Assessment 9781457300608 390 #16-18

(10) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite in equivalent forms

and perform operations on polynomial expressions.

The student is expected to:

(F) decide if a binomial can

be written as the difference

of two squares and, if

possible, use the structure of

a difference of two squares

to rewrite the binomial

(ii) if [a binomial can be

written as the difference of

two squares], use the

structure of a difference of

two squares to rewrite the

binomial

Instruction 9781457300608 389-390 #11,13-15

Review 9781457300608 390 #24

Page 55 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Assessment 9781457300608 390 #16-18

(11) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite algebraic expressions

into equivalent forms. The student is expected to:

(A) simplify numerical

radical expressions involving

square roots

(i) simplify numerical radical

expressions involving square

rootsInstruction 9781457300608 304 EX A, TTA, #1, 2

Review 9781457300608 303 #10-12, 14-15a, b

Instruction 9781457300608 307-308 #1, EX A, TTA, EX B, TTB, EX C, TTC

Assessment 9781457300608 323 #2a

Review 9781457300608 306 #8-12

(11) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite algebraic expressions

into equivalent forms. The student is expected to:

(B) simplify numeric and

algebraic expressions using

the laws of exponents,

including integral and

rational exponents

(i) simplify numeric

expressions using the laws

of exponents, including

integral exponentsInstruction 9781457300608 288-290 #6, 10, 12, EX A, EXB

Review 9781457300608 290 #18

Review 9781457300608 293 #12-18

Assessment 9781457300608 290 #17

Review 9781457300608 296 #15,17

(11) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite algebraic expressions

into equivalent forms. The student is expected to:

(B) simplify numeric and

algebraic expressions using

the laws of exponents,

including integral and

rational exponents

(ii) simplify numeric

expressions using the laws

of exponents, including

rational exponentsInstruction 9781457300608 302 #6, EX C, TTC

Review 9781457300608 303 #15

Assessment 9781457300608 303 #8,9

(11) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite algebraic expressions

into equivalent forms. The student is expected to:

(B) simplify numeric and

algebraic expressions using

the laws of exponents,

including integral and

rational exponents

(iii) simplify algebraic

expressions using the laws

of exponents, including

integral exponentsInstruction 9781457300608 288-290 #6, 8, 12, ExA, ExB, TTA-B

Review 9781457300608 290 #19,20

Instruction 9781457300608 291-292 #1, 3, ExA, TTA

Page 56 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

Assessment 9781457300608 290 #15

Review 9781457300608 296 #16,18

(11) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to rewrite algebraic expressions

into equivalent forms. The student is expected to:

(B) simplify numeric and

algebraic expressions using

the laws of exponents,

including integral and

rational exponents

(iv) simplify algebraic

expressions using the laws

of exponents, including

rational exponentsInstruction 9781457300608 302 #6, 7, TTC c

Review 9781457300608 290 #21

Assessment 9781457300608 290 #16

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(A) decide whether relations

represented verbally,

tabularly, graphically, and

symbolically define a

function

(i) decide whether relations

represented verbally define a

functionInstruction 9781457300608 68-69 #7-9, 10, 12

Review 9781457300608 70 #15-17

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(A) decide whether relations

represented verbally,

tabularly, graphically, and

symbolically define a

function

(ii) decide whether relations

represented tabularly define

a functionInstruction 9781457300608 211 #1-8

Review 9781457300608 69 #18

Review 9781457300608 218 #17

Assessment 9781457300608 67 #6

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(A) decide whether relations

represented verbally,

tabularly, graphically, and

symbolically define a

function

(iii) decide whether relations

represented graphically

define a functionInstruction 9781457300608 219 #5

Review 9781457300608 70 #18

Assessment 9781457300608 69 #14

Page 57 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(A) decide whether relations

represented verbally,

tabularly, graphically, and

symbolically define a

function

(iv) decide whether relations

represented symbolically

define a functionInstruction 9781457300608 69 #11

Review 9781457300608 70 #19c

Instruction 9781457300608 217 #9

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(B) evaluate functions,

expressed in function

notation, given one or more

elements in their domains

(i) evaluate functions,

expressed in function

notation, given one or more

elements in their domains

Instruction 9781457300608 76-77 #2-4,7

Review 9781457300608 78 #11-13

Instruction 9781457300608 219 #2

Assessment 9781457300608 78 #8,9

Review 9781457300608 220 #11,12

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(C) identify terms of

arithmetic and geometric

sequences when the

sequences are given in

function form using recursive

processes

(i) identify terms of arithmetic

sequences when the

sequences are given in

function form using recursive

processes

Instruction 9781457300608 168 #1,2,7

Review 9781457300608 170 #18

Assessment 9781457300608 168 #6

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(C) identify terms of

arithmetic and geometric

sequences when the

sequences are given in

function form using recursive

processes

(ii) identify terms of

geometric sequences when

the sequences are given in

function form using recursive

processes

Instruction 9781457300608316-

317,319#1, 2, 7, 8, 15

Review 9781457300608 315 #11

Instruction 9781457300608 329-331 #1-10

Assessment 9781457300608 323 #3

Review 9781457300608 320 #25

Page 58 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(D) write a formula for the

nth

term of arithmetic and

geometric sequences, given

the value of several of their

terms

(i) write a formula for the nth

term of arithmetic

sequences, given the value

of several of their terms

Instruction 9781457300608

5 #10

Review 9781457300608 13 #29

Instruction 9781457300608 8 #1-4

Assessment 9781457300608 6 #13, 15, 16

Review 9781457300608 7 #18,20,21

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(D) write a formula for the

nth

term of arithmetic and

geometric sequences, given

the value of several of their

terms

(ii) write a formula for the nth

term of geometric

sequences, given the value

of several of their terms

Instruction 9781457300608 316-318 #3, 9-14

Review 9781457300608 320 #23-26

Assessment 9781457300608 317,319 #4-6, 17-19, 21, 22

Assessment 9781457300608 323 #3

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(E) solve mathematic and

scientific formulas, and other

literal equations, for a

specified variable

(i) solve mathematic

formulas for a specified

variable Instruction 9781457300608 474 Bell-Ringer Activity

Activity 9781457300608 32 #38

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(E) solve mathematic and

scientific formulas, and other

literal equations, for a

specified variable

(ii) solve scientific formulas

for a specified variable

Instruction 9781457300608 29-30 ExB, #3

Review 9781457300608 30 #10

Page 59 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material

Chapter 111. Mathematics §111.39. Algebra I, Adopted 2012 (One Credit). Proclamation 2015

Knowledge and Skills Statement Student Expectation Breakout Citation Type Component ISBN Page (s) Specific Location

(12) Number and algebraic methods. The student

applies the mathematical process standards and

algebraic methods to write, solve, analyze, and

evaluate equations, relations, and functions. The

student is expected to:

(E) solve mathematic and

scientific formulas, and other

literal equations, for a

specified variable

(iii) solve other literal

equations for a specified

variable Instruction 9781457300608 28,30 ExA, TTA, #3

Review 9781457300608 30 #6-9

Assessment 9781457300608 30 #5

Assessment 9781457300608 33 #3

Page 60 of 60 The College Board - SpringBoard: 9781457300394 Teacher Material