Math 1 CPM

CPM Integrated 1 Resources





 

Learning Targets by Chapter

Chapter 1: Review & Preview - Functions

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Function machine.  Given input, solve for the output.  Given output, solve for the input.  Stack two machines.

6, 24, 38, 82, 93

 

 

2

Tile patterns.  Pattern growth.  Growth rate. Sketch next figures.  Explain.  Find a given figure.

8, 15, 20, 49, 87,

 

 

3

Solve equation in 1 variable.  Proportion.

28,

 

 

4

Evaluate a function in function notation for specific x-values.

39, 61, 71, 91,

 

 

5

Scenario.  Given graph or table, explain, analyze, predict.  Find unit rate.  Is it proportional?

18, 22, 32, 63

 

 

6

Given 2 points, does a line pass through these two points and a different third point? Justify.

40

 

 

7

Given table, graph, or equation: Is it a function?

47, 59, 83, 90

 

 

8

Identify domain and range of a table, graph, and equation.

59, 83, 90

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Add, subtract, multiply, divide positive & negative integers, fractions.  Exponents.  Square root.  Order of Operations.

9,17, 21, 29, 41, 60, 86, 92

 

 

2

Given x-value & equation in “y=”, find y-value using substitution.  Given x-value & algebraic expression, simplify using substitution and order of operations.

10, 19

 

 

3

Solve linear equations in 1 variable.  Multi-step.

16, 23, 50, 72, 89

 

 

4

Angle pair relationships: two parallel lines cut by a transversal, complementary angles

42, 62

 

 

5

Calculate area of a shaded region.  Area of triangles & rectangles.

85

 

 

6

Simplify absolute value expressions.

7, 29, 92

 

 

7

Properties of exponents.  Negative & zero exponents.  Rewriting expressions.

68, 69, 81, 88

 

 

8

Scientific notation.  Explanation.  Error analysis.

70, 84

 

 

9

Simplify cube roots.

30, 60, 92

 

 

10

Estimate an angle without a protractor.  Classify angles.

31

 

 

11

Identify x and y-intercepts of tables and graphs.

48

 

 

Chapter 2: Linear Functions

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Write a linear equation from a tile pattern (figure 0 as y -int)

6,61,74,119

 

 

2

Calculate Slope from a graph

18,63

 

 

3

Graphing Lines from equations

30,62,98,106,115,120

 

 

4

Create/interpret a scatterplot and line of best fit

31,73,96,105

 

 

5

Identify slope and intercept from equation

40,83

 

 

6

Calculate the slope from two points, or from a table

41,64,85,118, 121

 

 

7

Write linear equation from scenario

44,66,75,117

 

 

8

Graphing and writing linear equations from a scenario

58

 

 

9

Writing an equation from a graph (identifying intercepts)

67,71,113

 

 

10

Calculating rates (Dim Analysis)

82,95,104,123

 

 

11

Write a linear equation in function notation from a table

86

 

 

12

Write an equation of a line given point and slope, or two points, table

94,102

 

 

13

Identify “m” and “b” from equations

114,

 

 

14

Find slope, intercept and equation from a linear graph

43

 

 

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Properties of Exponents (simplify/rewrite)

7,33,59,97,116

 

 

2

Evaluating functions w/function notation

8,60,65

 

 

3

Add/Subtract/Mult/Divide Pos & Neg Integers.  Exponents.  Square root.  Order of Ops.

9

 

 

4

Transversals and angle relationships

10

 

 

5

Solve equations in 1 variable.  Multi-step

19,72

 

 

6

Evaluate expressions for given variable (order of ops, integers, fractions)

20, 103,122

 

 

7

Calculate output of function machines

21

 

 

8

Add, sub, mult, divide fractions including negatives

22

 

 

9

Scientific Notation

32,42,84

 

 

10

Identifying Functions and Domain/Range

34,120

 

 

Chapter 3: Transformations & Solving

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Rotation Reflection Transformations

8,19, 37, 45, 46, 60, 67,69, 81, 94, 95, 103

118, 129,138, 140,149, 144, 149

 

 

2

Parallel/Perpendicular Lines

32,56,69,95,146

 

 

3

Calculate Slope from Two  Points

46

 

 

4

Linear Proportional Equations

49

 

 

5

Line of Symmetry

67

 

 

6

Expressions/Equations Using Algebra Tiles/Perimeter/Area

47,77,115

 

 

7

Area Model: Binomials

90, 101, 102, 115, 117, 141, 142

 

 

8

Equation Solving (rewriting, fraction busters, looking inside, proportions)

57,114,127,131,136

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Properties of Exponents (simplify/rewrite)

24, 92, 116, 131, 136, 145

 

 

2

Add, sub, mult, divide fractions including negatives

11, 23, 36, 106, 148

 

 

3

Solve Equations (including distribution, angle properties, supplementary/right)

10, 21, 34, 50, 57, 91, 93, 105, 114, 126, 127, 130, 137,141

 

 

4

Line of Best Fit

12, 71, 119, 128

 

 

5

Linear Functions, graphing, writing, slope, tile patterns

9, 13, 20, 22, 34, 48, 56, 69, 70, 72, 78, 79, 80, 82, 146, 147

 

 

6

Area Perimeter of a Rectangle (algebraic terms)

33, 68, 104, 115,143

 

 

7

Scientific Notation

35, 58

 

 

8

Proportion/Rate/converting

59,137

 

 

9

Transversal/ Vertical Angles, Alternate Interior/Exterior

139

 

 

10

Plotting Polygons, Area of triangles

55,143

 

 

11

Domain and range

22

 

 

12

Evaluating Functions in function notation

49

 

 

Chapter 4: Modeling Two Variable Data

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Describing/interpreting association

4, 17, 25, 86, 98

 

 

2

Interpreting/Calculating residuals, residual plots

25, 36, 74, 86

 

 

3

Writing an equation given a situation

20

 

 

4

Line of Best Fit/ Upper and Lower Boundaries

42, 86, 87

 

 

5

Determine/write equations/graph LSRL

56, 74, 87, 98

 

 

6

Interpreting data and making predictions

56

 

 

7

Graphing scatterplots and LSRL

62, 86

 

 

8

Calculate r and interpret R-squared in context

98

 

 

9

Interpret data, finding cause

99

 

 

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Properties of Exponents/Scientific Notation (simplify/rewrite)

5, 18, 40, 61, 88, 100

 

 

2

Solving equations (sometimes justifying)

8, 41, 43, 46, 57, 64, 79

 

 

3

Solving equations with fractions

29, 67

 

 

4

Writing Equations (given slope/point, table, situation)

9, 26, 37, 47, 59, 60, 63, 91, 101, 102

 

 

5

Simplifying expressions (including fractional)

22, 45, 75

 

 

6

Evaluating functions

19, 28, 65, 90

 

 

7

Transformations

21, 38, 66b-c

 

 

8

Pythagorean Theorem

6, 66a

 

 

9

Unit Conversions

7, 58, 78

 

 

10

Area Model (product = sum)

27, 76

 

 

11

Given area of a square, find length of sides and diagonals

44

 

 

12

Find solutions given a graph

39

 

 

13

Finding domain and range

89, 103

 

 

14

Determine slope and y-int given an equation

37

 

 

15

Matching expressions

30

 

 

Chapter 5: Sequences

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Exponential Functions:  scenarios/tables     

6,12,51,69, 127

   

2

Exponential Functions (including rebound ratios)

35,36, 107

   

3

Sequences (arithmetic)

66,67,68

   

4

Recursive Sequences

77,78,87

   

5

Sequences (arithmetic/recursive)

86, 103, 109, 126, 130

   

6

 Percent Increase/Decrease

102

   

7

Using Sequence Equations

121, 122

   

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

Domain

8, 120

   

2

Unit Conversions/Using Rates

9, 49, 108

   

3

Transformations

10, 16, 24, 40, 70, 81

   

4

Statistics (Lurking Variable, Residuals, Association, LSRL)

11, 38, 106, 131, 132

   

5

Solving Equations 

14, 22, 39, 105,110, 128  

   

6

Writing Equations of Lines/Interpreting Linear Functions

7, 15, 23, 25, 26, 27, 37, 48, 53, 55, 82, 91, 104, 111, 125, 129

   

7

Evaluating/Simplifying/Writing Expressions

17, 52, 56, 123, 124

   

8

Scientific Notation

47, 

   

9

Calculating Area

50, 89, 113, 

   

10

Evaluating Functions

54, 112

   

11

Pythagorean Theorem

71

   

12

Distributive Property/Multiplying Polynomials

79, 

   

13

Angle Relationships

88

   

14

Exponents

90, 

   

Chapter 6: Review & Preview - Systems of Equations

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Solving Equations For Variable (multiple variables/rewriting)

7, 15, 51, 78,100, 143, 149

 

 

2

Writing Equations and Expressions

12, 49, 50, 140, 145, 147

 

 

3

Systems of Equations

20,25,27,61, 64, 73, 74, 84, 85, 86, 95, 96, 97, 107, 116, 117, 118, 134, 136,142, 146, 150, 151

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Area Models

8, 106, 121, 138

 

 

2

Stats (Associations, Correlation)

9, 28, 109

 

 

3

Sequences

10, 18, 29, 41, 54, 63, 77, 119, 137

 

 

4

Equation/Graphs of Lines & Slopes/perpendicular/parallel

11, 42, 43, 62, 120, 135

 

 

5

Solving/Writing Equations

16, 17, 26, 30, 38, 40, 76, 98, 99, 111, 148

 

 

6

Transformations

19, 139, 154

 

 

7

Unit Conversations/Unit Rates

39, 53, 88

 

 

8

Rewriting/Simplifying Expressions

65, 75, 89

 

 

9

Evaluating Functions

66

 

 

10

Exponential Functions

87, 144, 152, 153

 

 

11

Domain/Range

108

 

 

12

Angle Relationships

110

 

 

13

Patterns

141

 

 

14

Properties of Exponents

 

 

 

Chapter 7: Congruence & Coordinate Geometry

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Congruence through Rigid Motion

6,7,20,25,26,46,47,112

   

2

Similar Figures/Scale factor

8,19

   

3

Flowchart/Triangle Congruence

36,59,68,72,79,91,107,113, 116

   

4

corresponding parts (congruent)

37,41,115

   

5

Midpoint

71,80,88,106

   

6

Properties of Geometric Figures

78,87,99,100,109

   

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Equations of Lines using intercepts

9

   

2

Sequences

10,48,103

   

3

Systems

11,21,23,27,30,38, 50,60, 70,81,82,92,101, 118,119,120,121

   

4

Transformations

22,51

   

5

Domain and Range

24

   

6

Exponential Relationships

28,29,61

   

7

Rewriting Expressions

39,

   

8

Regression lines/Lines of best fit

40,62,83,111,117

   

9

Literal Equations (solving with multiple variables)

63

   

10

Word Problems: Distance, Rate, time

64

   

11

Solving Equations

69,90

   

12

Linear Equations from word problems or 2 points

9,73,89,102,110,114

   

13

Parallel and Perpendicular Lines

104

   

14

Verifying points on lines

108

   

Chapter 8: Exponential Functions

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Exponential Functions (multiple representations/curve fitting)

7,14,15,25,26,40,41,59,6

0,65,70,83,84,96,111,112

119,121,123,128,132,133

 

 

2

Exponential Models (Curve fitting)

108

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Sequences

8,27,71,124,126

 

 

2

Geometric Figures (area/perimeter/midpoint/ properties)

10,28,42,49,75,109,120,

131

 

 

3

Triangle Congruency

11,97,135

 

 

4

Midpoint

63,88,98,130

 

 

5

Solving Equations (Multiple Variables i.e literal)

9,74,85,129

 

 

6

Systems

12,13,30,31,45,46,62,99,

100,134

 

 

7

Line of Best Fit

16,86

 

 

8

Proportions

17,

 

 

9

Corresponding Parts of Congruent Figures

18,44,64

 

 

10

Solving Equations (linear/application)

19,20,51,52,72,114,125

 

 

11

Flow Chart Proofs

29

 

 

12

x-intercepts

43,

 

 

13

Step Functions

47,87,127

 

 

14

Scientific Notation

48

 

 

15

Evaluating Roots

50,61

 

 

16

Functions (graphs)

51,76

 

 

17

Factoring (Area Models)

53

 

 

18

Equivalent Expressions

73,89

 

 

19

Inequalities

110

 

 

20

Angle Relationships

113,122

 

 

Chapter 9: Inequalities

 

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Solving One-Variable Inequalities

7,17,46,82,103

 

 

2

Reasoning with Inequalities

8,18,85,92

 

 

3

Absolute Value Equations

33,59,107

 

 

4

Absolute Value Inequalities

34,47,71,94

 

 

5

Two-Variable Inequalities (graphing)

45,58,98,99

 

 

6

Writing and Solving Inequalities (scenario)

60,72,83,100

 

 

7

Systems of Inequalities (Graphing)

70,81,91

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

1

Linear Systems

9,35,73,86,95,102

 

 

2

Line of Best Fit

11,62

 

 

3

Triangle Congruency

12,50,76,106

 

 

4

Properties of Exponents

13

 

 

5

Reasoning with Equations

19

 

 

6

Exponential Functions

10,20,36,37,48,61,74,

84,96,101,104

 

 

7

Writing and Solving Equations

21,75,93

 

 

8

Converting to problem solve

22

 

 

9

Sequences

23,51,97,105

 

 

10

Transformations (area,perimeter of polygons)

38,63

 

 

11

Linear versus Exponential Functions

39,87

 

 

12

Writing equations of lines

49

 

 

13

Parallel/Perpendicular Lines

64

 

 

Chapter 10: Functions & Data

Formative Targets

(New Learning Material)

Review & Preview Problems

Video Help

Extra Practice

 

Association in two-way tables

2,4,5,6,7,10,17,34,CL111,

 

 

 
 

Investigating Data Representations

1,24,26,33,43,44,46,53,60,

110

 

 

 

Comparing Data and Associations

3,29,33,40,41,42,81,92,

106,CL116,

 

 

 

Standard Deviation and spread

61,62,63,64,65,67

 

 

 

Transforming Functions with equations and graphs

74,75,76,77,79,90,91,107,

CL115,

 

 

 
 

Arithmetic Operations w/ Functions 

86,87,88,89

 

 

 

Proving Linear and Exponential Growth patterns

97,98,99,101

 

 

 

 

Summative Targets

(Past Learning Material)

Review & Preview Problems

Video Help

Extra Practice

 

Determining Congruent Triangles (Checkpoint)

20,48,56,80,109,CL117

 

 

 
 

Similar Figures

95

 

 

 

Writing and/or Solving inequalities (one-variable)

11,73,108,CL112,CL114

 

 

 

Write and solving absolute value inequalities

12,19,93

 

 

 
 

Writing, solving, graphing 2 variable inequalities

18,28,35,47,82,CL118

 

 

 

Transformations

13

 

 

 
 

Write an exponential equation from a graph

14,30,105

 

 

 
 

Writing and solving one variable equations (looking inside, fraction busters, etc.)

23,51,96,CL113

 

 

 

Solving equations w/multiple variables

15,16

 

 

 

Writing equations for arithmetic and geometric sequences (or determining common difference as slope as in 50)

22,50

 

 

 

Solve problems involving linear and/or exponential scenarios, tables

21,36,49,104

 

 

 

Solving equations involving absolute value

27,54

 

 

 

Properties of Exponents

37,58

 

 

 

System of Inequalities

55,68,

 

 

 

Graphing an Exponential Equation

57,70,83

 

 

 

Piece-Wise Functions and their graphs

84

 

 

 

Solving a linear system (including from scenarios)

52,59,72,85

 

 

 

Recognizing slope and y intercept from standard form

16,

 

 

 

Converting Rates

31

 

 

 

Determining points on a line

32

 

 

 

Area and perimeter of figures

38

 

 

 

Parallel and Perpendicular Lines

39

 

 

 

Triangle Sum Theorem

69

 

 

 

Distributing (w/ or w/o area model)

71