mobile.collierschools.com  · web view2011-06-20 · how are functions and variations used to...

55

Click here to load reader

Upload: lamtuong

Post on 22-Aug-2018

212 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Curriculum and Pacing Guide: 1200700 Mathematics for College Readiness Text: Intermediate Algebra, Third Ed., Pearson 2008 – Revised June 2011

Resources: http://www.floridastandards.org/http://www.nctm.org/standards/http://www.tinavigator.com/

The Essential Questions

Quarter 1: (Weeks 1 – 9) What are the similarities and differences in solving equations and solving formulas? How can you use linear equations, their graphs, and relationship tables to model real world situation? How are solving systems of equations by substitution, linear combination, and matrices alike and different?

Quarter 2: (Weeks 10 – 19)

How are functions and variations used to model the relationship between variables in the real word? What are the similarities and differences between long division and synthetic division of polynomials? How does one determine the appropriate strategy or method to use in factoring a polynomial? How do solving rational equations and simplifying rational expressions compare and contrast?

Page 2: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Quarter 3: (Weeks 20 – 29)

What are the similarities of differences between using rational exponents and radical notation in solving problems? How does one determine the method to use to solve a quadratic equation?

Quarter 4: (Weeks 30 – 39)

How can union and intersection be applied to authentic (real world) situations? How are exponential and logarithmic functions used to study naturally occurring phenomena?

Note: A TI-83 or TI-84 is appropriate for this course. Students should become familiar with doing the mathematics “by hand” as well as with the calculator.

General Strategies Benchmark

2Curriculum and Pacing Guide

Mathematics for College Readiness

Page 3: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

The student will use new vocabulary that is

L3

Curriculum and Pacing GuideMathematics for College Readiness

Page 4: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

introduced and taught directly.The stude

L

4Curriculum and Pacing Guide

Mathematics for College Readiness

Page 5: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

nt will use background knowledge of subject

5Curriculum and Pacing Guide

Mathematics for College Readiness

Page 6: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

and related content areas, prereading st

6Curriculum and Pacing Guide

Mathematics for College Readiness

Page 7: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

rategies (e.g., previewing, discussing, ge

7Curriculum and Pacing Guide

Mathematics for College Readiness

Page 8: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

nerating questions), text features, and t

8Curriculum and Pacing Guide

Mathematics for College Readiness

Page 9: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

ext structure to make and confirm complex

9Curriculum and Pacing Guide

Mathematics for College Readiness

Page 10: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

predictions of content, purpose, and orga

10Curriculum and Pacing Guide

Mathematics for College Readiness

Page 11: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

nization of a reading selection.The stude

L

11Curriculum and Pacing Guide

Mathematics for College Readiness

Page 12: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

nt will edit for correct use of spelling, usin

12Curriculum and Pacing Guide

Mathematics for College Readiness

Page 13: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

g spelling rules, orthographic patterns,

13Curriculum and Pacing Guide

Mathematics for College Readiness

Page 14: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

generalizations, knowledge of root words, p

14Curriculum and Pacing Guide

Mathematics for College Readiness

Page 15: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

refixes, suffixes, knowledge of Greek, Lati

15Curriculum and Pacing Guide

Mathematics for College Readiness

Page 16: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

n, and Anglo-Saxon root words, and knowle

16Curriculum and Pacing Guide

Mathematics for College Readiness

Page 17: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

dge of foreign words commonly used in Eng

17Curriculum and Pacing Guide

Mathematics for College Readiness

Page 18: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

lish (laissez faire, croissant).The stude

L

18Curriculum and Pacing Guide

Mathematics for College Readiness

Page 19: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

nt will edit for correct use of capitalizatio

19Curriculum and Pacing Guide

Mathematics for College Readiness

Page 20: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

n, including names of academic courses and

20Curriculum and Pacing Guide

Mathematics for College Readiness

Page 21: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

proper adjectives.The student will edit for

L

21Curriculum and Pacing Guide

Mathematics for College Readiness

Page 22: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

correct use of punctuation, including comm

22Curriculum and Pacing Guide

Mathematics for College Readiness

Page 23: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

as, colons, semicolons, apostrophes, dashe

23Curriculum and Pacing Guide

Mathematics for College Readiness

Page 24: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

s, quotation marks, parentheses, ellipses

24Curriculum and Pacing Guide

Mathematics for College Readiness

Page 25: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

, brackets, and underlining or italics.Th

L

25Curriculum and Pacing Guide

Mathematics for College Readiness

Page 26: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

e student will edit for correct use of grammar

26Curriculum and Pacing Guide

Mathematics for College Readiness

Page 27: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

and usage, including but not limited to p

27Curriculum and Pacing Guide

Mathematics for College Readiness

Page 28: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

arts of speech, verb tense, noun/pronoun a

28Curriculum and Pacing Guide

Mathematics for College Readiness

Page 29: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

greement, subject/verb agreement, pronou

29Curriculum and Pacing Guide

Mathematics for College Readiness

Page 30: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

n/antecedent agreement, parallel structur

30Curriculum and Pacing Guide

Mathematics for College Readiness

Page 31: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

e, modifier placement, comparative and sup

31Curriculum and Pacing Guide

Mathematics for College Readiness

Page 32: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

erlative adjectives and adverbs, and unin

32Curriculum and Pacing Guide

Mathematics for College Readiness

Page 33: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

tended shift in person or tense.The stude

L

33Curriculum and Pacing Guide

Mathematics for College Readiness

Page 34: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

nt will edit for correct use of varied senten

34Curriculum and Pacing Guide

Mathematics for College Readiness

Page 35: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

ce structure, including the elimination o

35Curriculum and Pacing Guide

Mathematics for College Readiness

Page 36: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

f dangling or misplaced modifiers, run-on

36Curriculum and Pacing Guide

Mathematics for College Readiness

Page 37: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

or fused sentences, and unintended sent

37Curriculum and Pacing Guide

Mathematics for College Readiness

Page 38: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

ence fragments.

38Curriculum and Pacing Guide

Mathematics for College Readiness

Page 39: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Weeks 1 – 4:Unit 1: Basics of Algebra and Graphing

Days Topic Benchmark Textbook Section

Vocabulary DW Test Items Date Completed

2 Algebraic Expression,Equations & Inequalities, Number sets

MA.912.A.1.4 1.1 Algebraic expression,variable, constant, solution, natural, whole, rational, irrational and real numbers, integers, roster notation, set-builder notation

7947,7303,16259,20481, 8046,20482, 16248

2 Absolute value, Order, Number operations,

MA.912.A.1.4 1.2 Absolute value, opposite, reciprocal 7954,20485

3 Equivalents algebraic expressions, Properties, Like terms

MA.912.A.3.2. 1.3 Equivalent, like terms

2 Exponential and Scientific Notation

MA.912.A.1.3 1.4 Significant digits

1 Graphs MA.912.A.2.5 1.5 Scale, window, nonlinear3 Solving

Equations and Formulas

MA.912.A.3.1MA.912.A.3.3

1.6 Identity, contradiction, conditional, literal equations

3 Problem Solving Models

MA.912.A.2.13 1.7 Mathematical model

1 Review1 Test18 Total

39Curriculum and Pacing Guide

Mathematics for College Readiness

Page 40: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Weeks 5 – 7:

Unit 2: Functions, Linear Equations, and ModelsDays Topic Benchmark Textbook

SectionVocabulary DW Test Items Date Completed

2 Functions MA.912.A.2.4MA.912.A.2.6

2.1 Domain, range, function, relation, vertical line test, zero

7965,16284,2246, 20486, 20509, 8020

3 Linear Functions MA.912.A.3.8 2.2 Slope 7949,20508,2051,16253,7984,2048,7476

2 Linear Graphs MA.912.A.3.9MA.912.A.3.10

2.3 Intercepts

3 Point-Slope Form MA.912.A.3.7MA.912.A.3.11

2.4 Slope-intercept, standard form,

2 Algebra of Functions

MA.912.A.2.3MA.912.A.2.4

2.5 Domain

1 Review1 Test14 Total

40Curriculum and Pacing Guide

Mathematics for College Readiness

Page 41: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Weeks 8 – 10:

41Curriculum and Pacing Guide

Mathematics for College Readiness

Unit 3: Systems of Linear Equations and Problem Solving Date Completed

Days Topic Benchmark Textbook Section

Vocabulary DW test items

2 Systems of Equations in Two Variables

MA.912.A3.13M.A912.A.3.14

3.1 Systems, translating 7192,20491

2 Solving by Substitution or Elimination

MA.912.A.3.14

3.2 Dependent, inconsistent 16257,7972

2 Applications of Systems of Two Equations

MA.912.A.3.15

3.3

2 Systems of Equations in Three Variables

MA.912.A.3.14

3.4 Consistency, dependency

2 Applications of Systems of Three Equations

MA.912.A.3.15

3.5

3 Elimination Using Matrices

MA.912.D.8.2 3.6 Matrix (matrices), Row-Equivalent Operations, Reduced Row-Echelon Form, Linear combination

7169,7990,16272,16276

2 Determinants and Cramer’s Rule

MA.912.D.8.5 3.7 Determinant

1 Review1 Test17 Total

Page 42: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Weeks 11 – 13:

Unit 4: Inequalities and Problem Solving Date CompletedDays Topic Benchmark Textbook

SectionVocabulary DW Test Items

2 Inequalities and Applications

MA.912.A.3.12 4.1 Interval Notation

3 Solving Equations and Inequalities by Graphing

MA.912.A.3.12MA.912.A.3.13

4.2 Intersect Method, Zero Method, half-plane

7192,20491,20492,16285

2 Compound Inequalities

MA.912.A.3.4 4.3 Intersection, conjunction, union, disjunction

2 Absolute-Value Equations and Inequalities

MA.912.A.3.5MA.912.A.3.6

4.4 20489

2 Inequalities in Two Variables

MA.912.A.3.12 4.5 16262

1 Review1 Test13 Total

42Curriculum and Pacing Guide

Mathematics for College Readiness

Page 43: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Unit 5: Polynomials and Polynomial Functions

43Curriculum and Pacing Guide

Mathematics for College Readiness

Page 44: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Week 14 – 19:

Weeks 18 & 19 (After Winter Break) – 1st Semester Review

End of 1st Semester

Instructional Days: 80

Flex Days/ Exam Review: 5

Exams Days: 2

Total Days: 87

44Curriculum and Pacing Guide

Mathematics for College Readiness

Page 45: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Weeks 20 – 23:

Unit 6: Rational Expressions, Equations, and FunctionsDays Topic Benchmark Textbook

SectionVocabulary DW Test Items Date Completed

2 Rational Functions MA.912.A.5.1 6.1 Asymptotes 8049,72603 Multiplying and

Dividng Rational Expressions

MA.912.A.5.2 6.1 Canceling, quotient, restrictions

2 Adding and Subtracting Rational Expressions

MA.912.A.5.2 6.2 Common denominators, LCM 8051

1 Complex Rational Expressions

MA.912.A.5.3 6.3 Complex fraction

2 Rational Equations MA.912.A.5.4MA.912.A.5.5

6.4 Clearing fractions, extraneous solutions

8055

2 Solving Applications Using Rational Equations

MA.912.A.5.7 6.5

1 Division of Polynomials

MA.912.A.5.2 6.6

1 Synthetic Division MA.912.A.4.6 6.7 Long division, Remainder Theorem2 Formulas,

Applications, and Variation

MA.912.A.2.12 6.8 Direct, inverse joint, and combined variations

1 Review1 Test18 Total

45Curriculum and Pacing Guide

Mathematics for College Readiness

Page 46: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Week 24 – 27:

46Curriculum and Pacing Guide

Mathematics for College Readiness

Unit 7: Exponents and Radical FunctionsDays Topic Benchmark Textbook

SectionVocabulary DW test items Date Completed

2 Radical Expressions, Functions, and Models

MA.912.A.2.6.MA.912.A.6.1

7.1 Square root, cube root, nth root 16183,7296,16250,16270,16275

2 Rational Numbers as Exponents

MA.912.A.6.3.MA.912. A.6.4

7.2 Rational exponents 7842,8024,16277,7258,16274,20279

2 Multiplying Radical Expressions

MA.912.A.6.2 7.3 8023

2 Dividing Radical Expressions

MA.912.A.6.2 7.4 Rationalizing

2 Expressions of Several Radicals

MA.912.A.6.2 7.5 Like radicals, indices

2 Solving Radical Equations

MA.912.A.6.5 7.6 7306,8026,7221,16286

3 Complex Numbers

MA.912.A.4.6 7.8 Imaginary, conjugate

1 Review1 Test17 Total

Page 47: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Unit 8: Quadratic Functions and Equations

47Curriculum and Pacing Guide

Mathematics for College Readiness

Page 48: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Week 27 – 31:

48Curriculum and Pacing Guide

Mathematics for College Readiness

Page 49: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Unit 9: Exponential and Logarithmic Functions

49Curriculum and Pacing Guide

Mathematics for College Readiness

Page 50: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

Week 33 – 37 (Week 32 reserved for FCAT)Instructional Days: 75

Weeks 38 & 39 : 2nd Semester Review and Exams

Instructional Days: 75

Flex Days / Exam Review: 12

Exams Days: 5

Total Days: 92 (Seniors)

50Curriculum and Pacing Guide

Mathematics for College Readiness

Page 51: mobile.collierschools.com  · Web view2011-06-20 · How are functions and variations used to model the relationship between variables in the real word? ... (matrices), Row-Equivalent

51Curriculum and Pacing Guide

Mathematics for College Readiness