correlations to the texas essential knowledge and skills (teks):...
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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
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