Math 1 CPM
CPM Integrated 1 Resources
Additional CPM Support
Learning Targets by Chapter
Chapter 1: Review & Preview - Functions
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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 |
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2 |
Tile patterns. Pattern growth. Growth rate. Sketch next figures. Explain. Find a given figure. |
8, 15, 20, 49, 87, |
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3 |
Solve equation in 1 variable. Proportion. |
28, |
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4 |
Evaluate a function in function notation for specific x-values. |
39, 61, 71, 91, |
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5 |
Scenario. Given graph or table, explain, analyze, predict. Find unit rate. Is it proportional? |
18, 22, 32, 63 |
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6 |
Given 2 points, does a line pass through these two points and a different third point? Justify. |
40 |
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7 |
Given table, graph, or equation: Is it a function? |
47, 59, 83, 90 |
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8 |
Identify domain and range of a table, graph, and equation. |
59, 83, 90 |
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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 |
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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 |
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3 |
Solve linear equations in 1 variable. Multi-step. |
16, 23, 50, 72, 89 |
Video: Solving Equations with Like Terms |
Practice: Solving Equations with Like Terms |
4 |
Angle pair relationships: two parallel lines cut by a transversal, complementary angles |
42, 62 |
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5 |
Calculate area of a shaded region. Area of triangles & rectangles. |
85 |
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6 |
Simplify absolute value expressions. |
7, 29, 92 |
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7 |
Properties of exponents. Negative & zero exponents. Rewriting expressions. |
68, 69, 81, 88 |
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8 |
Scientific notation. Explanation. Error analysis. |
70, 84 |
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9 |
Simplify cube roots. |
30, 60, 92 |
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10 |
Estimate an angle without a protractor. Classify angles. |
31 |
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11 |
Identify x and y-intercepts of tables and graphs. |
48 |
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Chapter 2: Linear Functions
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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 |
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2 |
Calculate Slope from a graph |
18,63 |
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3 |
Graphing Lines from equations |
30,62,98,106,115,120 |
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4 |
Create/interpret a scatterplot and line of best fit |
31,73,96,105 |
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5 |
Identify slope and intercept from equation |
40,83 |
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6 |
Calculate the slope from two points, or from a table |
41,64,85,118, 121 |
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7 |
Write linear equation from scenario |
44,66,75,117 |
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8 |
Graphing and writing linear equations from a scenario |
58 |
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9 |
Writing an equation from a graph (identifying intercepts) |
67,71,113 |
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10 |
Calculating rates (Dim Analysis) |
82,95,104,123 |
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11 |
Write a linear equation in function notation from a table |
86 |
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12 |
Write an equation of a line given point and slope, or two points, table |
94,102 |
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13 |
Identify “m” and “b” from equations |
114, |
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14 |
Find slope, intercept and equation from a linear graph |
43 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
1 |
Properties of Exponents (simplify/rewrite) |
7,33,59,97,116 |
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2 |
Evaluating functions w/function notation |
8,60,65 |
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3 |
Add/Subtract/Mult/Divide Pos & Neg Integers. Exponents. Square root. Order of Ops. |
9 |
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4 |
Transversals and angle relationships |
10 |
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5 |
Solve equations in 1 variable. Multi-step |
19,72 |
Video: Solving Equations with Like Terms |
Practice: Solving Equations with Like Terms |
6 |
Evaluate expressions for given variable (order of ops, integers, fractions) |
20, 103,122 |
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7 |
Calculate output of function machines |
21 |
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8 |
Add, sub, mult, divide fractions including negatives |
22 |
Practice: Improper Fractions and Mixed Numbers |
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9 |
Scientific Notation |
32,42,84 |
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10 |
Identifying Functions and Domain/Range |
34,120 |
Chapter 3: Transformations & Solving
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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 |
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2 |
Parallel/Perpendicular Lines |
32,56,69,95,146 |
Practice: Writing Equations of Parallel & Perpendicular Lines |
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3 |
Calculate Slope from Two Points |
46 |
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4 |
Linear Proportional Equations |
49 |
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5 |
Line of Symmetry |
67 |
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6 |
Expressions/Equations Using Algebra Tiles/Perimeter/Area |
47,77,115 |
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7 |
Area Model: Binomials |
90, 101, 102, 115, 117, 141, 142 |
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8 |
Equation Solving (rewriting, fraction busters, looking inside, proportions) |
57,114,127,131,136 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
1 |
Properties of Exponents (simplify/rewrite) |
24, 92, 116, 131, 136, 145 |
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2 |
Add, sub, mult, divide fractions including negatives |
11, 23, 36, 106, 148 |
Practice: Improper Fractions and Mixed Numbers |
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3 |
Solve Equations (including distribution, angle properties, supplementary/right) |
10, 21, 34, 50, 57, 91, 93, 105, 114, 126, 127, 130, 137,141 |
Video: Solving Equations with Like Terms |
Practice: Solving Equations with Like Terms |
4 |
Line of Best Fit |
12, 71, 119, 128 |
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5 |
Linear Functions, graphing, writing, slope, tile patterns |
9, 13, 20, 22, 34, 48, 56, 69, 70, 72, 78, 79, 80, 82, 146, 147 |
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6 |
Area Perimeter of a Rectangle (algebraic terms) |
33, 68, 104, 115,143 |
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7 |
Scientific Notation |
35, 58 |
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8 |
Proportion/Rate/converting |
59,137 |
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9 |
Transversal/ Vertical Angles, Alternate Interior/Exterior |
139 |
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10 |
Plotting Polygons, Area of triangles |
55,143 |
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11 |
Domain and range |
22 |
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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 |
Checkpoint |
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1 |
Describing/interpreting association |
4, 17, 25, 86, 98 |
Interpreting associations: Checkpoint 7 page 710-717
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2 |
Interpreting/Calculating residuals, residual plots |
25, 36, 74, 86 |
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3 |
Writing an equation given a situation |
20 |
Writing the equation of a line: checkpoint 5 page 702-704
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4 |
Line of Best Fit/ Upper and Lower Boundaries |
42, 86, 87 |
Practice: Writing Equations of Parallel & Perpendicular Lines |
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5 |
Determine/write equations/graph LSRL |
56, 74, 87, 98 |
Interpreting associations: Checkpoint 7 page 710-717
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6 |
Interpreting data and making predictions |
56 |
Interpreting associations: Checkpoint 7 page 710-717
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7 |
Graphing scatterplots and LSRL |
62, 86 |
Interpreting associations: Checkpoint 7 page 710-717
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8 |
Calculate r and interpret R-squared in context |
98 |
Interpreting associations: Checkpoint 7 page 710-717
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9 |
Interpret data, finding cause |
99 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
Checkpoint |
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1 |
Properties of Exponents/Scientific Notation (simplify/rewrite) |
5, 18, 40, 61, 88, 100 |
Laws of Exponents and Scientific notation: checkpoint 4 page 700-701
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2 |
Solving equations (sometimes justifying) |
8, 41, 43, 46, 57, 64, 79 |
Video: Solving Equations with Like Terms |
Practice: Solving Equations with Like Terms |
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3 |
Solving equations with fractions |
29, 67 |
Solving linear equations with fractions): checkpoint 6 page 705—706
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4 |
Writing Equations (given slope/point, table, situation) |
9, 26, 37, 47, 59, 60, 63, 91, 101, 102 |
Writing the equation of a line: checkpoint 5 page 702-704
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5 |
Simplifying expressions (including fractional) |
22, 45, 75 |
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6 |
Evaluating functions |
19, 28, 65, 90 |
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7 |
Transformations |
21, 38, 66b-c |
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8 |
Pythagorean Theorem |
6, 66a |
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9 |
Unit Conversions |
7, 58, 78 |
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10 |
Area Model (product = sum) |
27, 76 |
Multiplying binomials and solving equations with parentheses: checkpoint 6B page 707-709
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11 |
Given area of a square, find length of sides and diagonals |
44 |
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12 |
Find solutions given a graph |
39 |
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13 |
Finding domain and range |
89, 103 |
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14 |
Determine slope and y-int given an equation |
37 |
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15 |
Matching expressions |
30 |
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Chapter 5: Sequences
Formative Targets (New Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
Checkpoints |
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1 |
Exponential Functions: scenarios/tables |
6,12,51,69, 127 |
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2 |
Exponential Functions (including rebound ratios) |
35,36, 107 |
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3 |
Sequences (arithmetic) |
66,67,68 |
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4 |
Recursive Sequences |
77,78,87 |
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5 |
Sequences (arithmetic/recursive) |
86, 103, 109, 126, 130 |
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6 |
Percent Increase/Decrease |
102 |
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7 |
Using Sequence Equations |
121, 122 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
Checkpoints |
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1 |
Domain |
8, 120 |
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2 |
Unit Conversions/Using Rates |
9, 49, 108 |
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3 |
Transformations |
10, 16, 24, 40, 70, 81 |
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4 |
Statistics (Lurking Variable, Residuals, Association, LSRL) |
11, 38, 106, 131, 132 |
Interpreting associations: Checkpoint 7 page 710-717
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5 |
Solving Equations |
14, 22, 39, 105,110, 128 |
Video: Solving Equations with Like Terms Video: Solving Equations with Variables on Both Sides |
Practice: Solving Equations with Like Terms Practice: Solving Equations with Variables on Both Sides |
Solving linear equations with fractions): checkpoint 6 page 705--706 |
6 |
Writing Equations of Lines/Interpreting Linear Functions |
7, 15, 23, 25, 26, 27, 37, 48, 53, 55, 82, 91, 104, 111, 125, 129 |
Writing the equation of a line: checkpoint 5 page 702-704
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7 |
Evaluating/Simplifying/Writing Expressions |
17, 52, 56, 123, 124 |
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8 |
Scientific Notation |
47, |
Laws of Exponents and Scientific notation: checkpoint 4 page 700-701
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9 |
Calculating Area |
50, 89, 113, |
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10 |
Evaluating Functions |
54, 112 |
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11 |
Pythagorean Theorem |
71 |
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12 |
Distributive Property/Multiplying Polynomials |
79, |
Multiplying binomials and solving equations with parentheses: checkpoint 6B page 707-709
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13 |
Angle Relationships |
88 |
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14 |
Exponents |
90, |
Laws of Exponents and Scientific notation: checkpoint 4 page 700-701 |
Chapter 6: Review & Preview - Systems of Equations
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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 |
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2 |
Writing Equations and Expressions |
12, 49, 50, 140, 145, 147 |
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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 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
1 |
Area Models |
8, 106, 121, 138 |
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2 |
Stats (Associations, Correlation) |
9, 28, 109 |
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3 |
Sequences |
10, 18, 29, 41, 54, 63, 77, 119, 137 |
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4 |
Equation/Graphs of Lines & Slopes/perpendicular/parallel |
11, 42, 43, 62, 120, 135 |
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5 |
Solving/Writing Equations |
16, 17, 26, 30, 38, 40, 76, 98, 99, 111, 148 |
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6 |
Transformations |
19, 139, 154 |
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7 |
Unit Conversations/Unit Rates |
39, 53, 88 |
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8 |
Rewriting/Simplifying Expressions |
65, 75, 89 |
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9 |
Evaluating Functions |
66 |
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10 |
Exponential Functions |
87, 144, 152, 153 |
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11 |
Domain/Range |
108 |
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12 |
Angle Relationships |
110 |
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13 |
Patterns |
141 |
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14 |
Properties of Exponents |
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Chapter 7: Congruence & Coordinate Geometry
Formative Targets (New Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
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1 |
Congruence through Rigid Motion |
6,7,20,25,26,46,47,112 |
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2 |
Similar Figures/Scale factor |
8,19 |
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3 |
Flowchart/Triangle Congruence |
36,59,68,72,79,91,107,113, 116 |
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4 |
corresponding parts (congruent) |
37,41,115 |
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5 |
Midpoint |
71,80,88,106 |
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6 |
Properties of Geometric Figures |
78,87,99,100,109 |
Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
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1 |
Equations of Lines using intercepts |
9 |
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2 |
Sequences |
10,48,103 |
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3 |
Systems |
11,21,23,27,30,38, 50,60, 70,81,82,92,101, 118,119,120,121 |
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4 |
Transformations |
22,51 |
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5 |
Domain and Range |
24 |
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6 |
Exponential Relationships |
28,29,61 |
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7 |
Rewriting Expressions |
39, |
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8 |
Regression lines/Lines of best fit |
40,62,83,111,117 |
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9 |
Literal Equations (solving with multiple variables) |
63 |
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10 |
Word Problems: Distance, Rate, time |
64 |
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11 |
Solving Equations |
69,90 |
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12 |
Linear Equations from word problems or 2 points |
9,73,89,102,110,114 |
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13 |
Parallel and Perpendicular Lines |
104 |
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14 |
Verifying points on lines |
108 |
Chapter 8: Exponential Functions
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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 |
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2 |
Exponential Models (Curve fitting) |
108 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
1 |
Sequences |
8,27,71,124,126 |
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2 |
Geometric Figures (area/perimeter/midpoint/ properties) |
10,28,42,49,75,109,120, 131 |
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3 |
Triangle Congruency |
11,97,135 |
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4 |
Midpoint |
63,88,98,130 |
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5 |
Solving Equations (Multiple Variables i.e literal) |
9,74,85,129 |
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6 |
Systems |
12,13,30,31,45,46,62,99, 100,134 |
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7 |
Line of Best Fit |
16,86 |
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8 |
Proportions |
17, |
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9 |
Corresponding Parts of Congruent Figures |
18,44,64 |
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10 |
Solving Equations (linear/application) |
19,20,51,52,72,114,125 |
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11 |
Flow Chart Proofs |
29 |
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12 |
x-intercepts |
43, |
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13 |
Step Functions |
47,87,127 |
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14 |
Scientific Notation |
48 |
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15 |
Evaluating Roots |
50,61 |
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16 |
Functions (graphs) |
51,76 |
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17 |
Factoring (Area Models) |
53 |
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18 |
Equivalent Expressions |
73,89 |
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19 |
Inequalities |
110 |
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20 |
Angle Relationships |
113,122 |
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Chapter 9: Inequalities
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Formative Targets (New Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
1 |
Solving One-Variable Inequalities |
7,17,46,82,103 |
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2 |
Reasoning with Inequalities |
8,18,85,92 |
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3 |
Absolute Value Equations |
33,59,107 |
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4 |
Absolute Value Inequalities |
34,47,71,94 |
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5 |
Two-Variable Inequalities (graphing) |
45,58,98,99 |
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6 |
Writing and Solving Inequalities (scenario) |
60,72,83,100 |
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7 |
Systems of Inequalities (Graphing) |
70,81,91 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
1 |
Linear Systems |
9,35,73,86,95,102 |
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2 |
Line of Best Fit |
11,62 |
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3 |
Triangle Congruency |
12,50,76,106 |
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4 |
Properties of Exponents |
13 |
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5 |
Reasoning with Equations |
19 |
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6 |
Exponential Functions |
10,20,36,37,48,61,74, 84,96,101,104 |
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7 |
Writing and Solving Equations |
21,75,93 |
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8 |
Converting to problem solve |
22 |
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9 |
Sequences |
23,51,97,105 |
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10 |
Transformations (area,perimeter of polygons) |
38,63 |
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11 |
Linear versus Exponential Functions |
39,87 |
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12 |
Writing equations of lines |
49 |
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13 |
Parallel/Perpendicular Lines |
64 |
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Chapter 10: Functions & Data
Formative Targets (New Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
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Association in two-way tables |
2,4,5,6,7,10,17,34,CL111, |
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Investigating Data Representations |
1,24,26,33,43,44,46,53,60, 110 |
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Comparing Data and Associations |
3,29,33,40,41,42,81,92, 106,CL116, |
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Standard Deviation and spread |
61,62,63,64,65,67 |
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Transforming Functions with equations and graphs |
74,75,76,77,79,90,91,107, CL115, |
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Arithmetic Operations w/ Functions |
86,87,88,89 |
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Proving Linear and Exponential Growth patterns |
97,98,99,101 |
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Summative Targets (Past Learning Material) |
Review & Preview Problems |
Video Help |
Extra Practice |
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Determining Congruent Triangles (Checkpoint) |
20,48,56,80,109,CL117 |
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Similar Figures |
95 |
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Writing and/or Solving inequalities (one-variable) |
11,73,108,CL112,CL114 |
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Write and solving absolute value inequalities |
12,19,93 |
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Writing, solving, graphing 2 variable inequalities |
18,28,35,47,82,CL118 |
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Transformations |
13 |
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Write an exponential equation from a graph |
14,30,105 |
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Writing and solving one variable equations (looking inside, fraction busters, etc.) |
23,51,96,CL113 |
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Solving equations w/multiple variables |
15,16 |
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Writing equations for arithmetic and geometric sequences (or determining common difference as slope as in 50) |
22,50 |
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Solve problems involving linear and/or exponential scenarios, tables |
21,36,49,104 |
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Solving equations involving absolute value |
27,54 |
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Properties of Exponents |
37,58 |
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System of Inequalities |
55,68, |
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Graphing an Exponential Equation |
57,70,83 |
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Piece-Wise Functions and their graphs |
84 |
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Solving a linear system (including from scenarios) |
52,59,72,85 |
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Recognizing slope and y intercept from standard form |
16, |
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Converting Rates |
31 |
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Determining points on a line |
32 |
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Area and perimeter of figures |
38 |
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Parallel and Perpendicular Lines |
39 |
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Triangle Sum Theorem |
69 |
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Distributing (w/ or w/o area model) |
71 |
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