ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
Math 8 College Prep Pacing Guide
2
Two-week summary of major instructional content and skills • 36 instructional weeks
3
4
Week(s)Unit / TextMajor ContentMajor Skills and Assessments
5
Weeks 1–2Unit 1: Real Number SystemFractions and Decimals; Squares and Square Roots; Estimating Square Roots; Rational vs. Irrational Numbers; Classifying Real Numbers; Classifying and Estimating Real Numbers Quiz; Comparing and Ordering Real Numbers (11 days)Convert between fractions and decimals; Evaluate squares and square roots; Estimate the value of a square root using a number line and determine which two integers a square root lies between; Classify numbers as rational or irrational; Classify real numbers; Apply their understanding of converting between fractions and decimals, evaluating squares and square roots, and classifying real numbers; Compare and order real numbers in mathematical and real-world situations; Assessments/Review: Classifying and Estimating Real Numbers Quiz
6
Weeks 3–4Unit 1: Real Number System / Unit 2: Exponents and Scientific NotationReal Number System Unit Review and Test; Square Roots and Cube Roots; Properties of Exponents; Properties of Negative and Zero Exponents; Square Roots, Cube Roots and Exponents Quiz; Scientific Notation (12 days)Apply their understanding of the concepts included in the Real Number System Unit; Evaluate square and cube roots; Apply properties of exponents to simplify expressions; Apply the negative exponent property and zero power property; Apply their understanding of square and cube roots and properties of exponents; Convert between standard and scientific notation in mathematical and real-world situations; Assessments/Review: Real Number System Unit Review and Test; Square Roots, Cube Roots and Exponents Quiz
7
Weeks 5–6Unit 2: Exponents and Scientific NotationQuiz; Adding and Subtracting with Scientific Notation; Multiplying and Dividing with Scientific Notation; Scientific Notation Quiz; Estimating Quantities; Exponents and Scientific Notation Unit Review and Test (10 days)Apply their understanding of square and cube roots, properties of exponents, and scientific notation; Add and subtract with scientific notation; Multiply and divide with scientific notation; Use operations on scientific notation; Estimate small and large values in real-world situations using powers of ten; Apply their understanding of the concepts included in the Exponents and Scientific Notation Unit; Assessments/Review: Quiz; Scientific Notation Quiz; Exponents and Scientific Notation Unit Review and Test
8
Weeks 7–8Unit 3: Linear EquationsSimplifying Expressions; Simplifying Expressions with Distributive Property; One and Two-Step Equations; Multi-Step Equations; Expressions and Equations Mini-Quiz; Multi-Step Equations with Distributive Property (10 days)Apply their knowledge of like terms to write and simplify expressions; Simplify expressions by using the distributive property and combining like terms; Write and solve one and two-step equations; Write and solve multi-step equations; Apply their understanding of simplifying expressions and solving multi-step equations; Solve multi-step equations with the distributive property; Assessments/Review: Expressions and Equations Mini-Quiz
9
Weeks 9–10Unit 3: Linear EquationsEquations with Variables on Both Sides; Expressions and Equations Quiz; Writing Equations with Variables on Both Sides; Equations with Special Cases; Linear Equations Unit Review and Test (10 days)Solve equations with variables on both sides using the distributive property; Apply their understanding of simplifying expressions and using the distributive property to solve multi-step equations including those with variables on both sides; Write and solve equations with variables on both sides; Solve equations with special cases; Apply their understanding of the concepts included in the Linear Equations Unit; Assessments/Review: Expressions and Equations Quiz; Linear Equations Unit Review and Test
10
Weeks 11–12Unit 4: Linear RelationshipsSlope and Rate of Change; The Slope Formula; Slope-Intercept Form: Part I; Slope-Intercept Form: Part II; Slope and Slope-Intercept Form Quiz (9 days)Find slope and rate of change from a graph; Find slope given two ordered pairs or a table of values and connect similar triangles to the slope of a line; Write and interpret the equation of a line in slope-intercept form; Write an equation of a line in slope-intercept form from a table, verbal description, and graph; Apply their understanding of slope, rate of change, and writing equations in slope-intercept form; Assessments/Review: Slope and Slope-Intercept Form Quiz
11
Weeks 13–14Unit 4: Linear Relationships / Unit 5: FunctionsGraphing Linear Equations; Multiple Representations; Proportional and Non-Proportional Relationships; Linear Relationships Unit Review and Test; Identifying Functions (10 days)Graph a linear equation in slope-intercept form; Create tables, graphs, equations, and verbal descriptions and interpret multiple representations of slope-intercept form; Distinguish between proportional and non-proportional relationships in mathematical and real-world situations; Apply their understanding of the concepts included in the Linear Relationships Unit; Identify functions from a table, a set of ordered pairs, a graph, and a mapping diagram; Assessments/Review: Linear Relationships Unit Review and Test
12
Weeks 15–16Unit 5: FunctionsLinear vs. Non-Linear Functions; Writing Equations of Linear Functions; Functions Quiz; Applying Linear Functions; Analyzing Functions and Graphs (9 days)Identify a function as linear or non-linear; Write the equation of a linear function when given a point and the slope or when given two ordered pairs; Apply their understanding of linear functions; Apply their knowledge of linear functions to compare real-world situations; Analyze graphs of functions; Assessments/Review: Functions Quiz
13
Weeks 17–18Unit 5: Functions / Unit 6: Systems of EquationsFunctions Unit Review and Test; Intro to Systems of Equations; Solving Systems by Graphing; Solving Systems by Substitution: Part I; Solving Systems by Substitution: Part II (10 days)Apply their understanding of the concepts included in the Functions Unit; Identify values that satisfy two linear equations from a graph and apply systems of equations to real-world situations; Solve a system of equations for mathematical and real-world situations by graphing; Solve a system of equations with one solution using substitution; Solve a system of equations with one solution, no solution, or many solutions using substitution; Assessments/Review: Functions Unit Review and Test
14
Weeks 19–20Unit 6: Systems of EquationsSolving Systems by Elimination; Systems of Equations Quiz; Solving Systems by Inspection; Applying Systems of Equations; Systems of Equations Unit Review and Test (9 days)Solve a system of equations by elimination; Apply their understanding of solving systems using graphing, substitution, and elimination; Solve a system of equations by inspection; Apply their knowledge of systems of equations to real-world situations; Apply their understanding of the concepts included in the Systems of Equations Unit; Assessments/Review: Systems of Equations Quiz; Systems of Equations Unit Review and Test
15
Weeks 21–22Unit 7: TransformationsBasics of Transformations; Translations on the Coordinate Plane; Reflections on the Coordinate Plane; Rotations on the Coordinate Plane; Identifying Transformations (10 days)Identify the types of transformations and generalize the properties of orientation and congruence; Translate a figure on the coordinate plane and use algebraic representations to explain the effect of translations; Reflect a figure over the x and y-axis and use algebraic representations to explain the effect of reflections; Rotate a figure on the coordinate plane and use algebraic representations to explain the effect of rotations; Use algebraic representations to explain the effect of transformations
16
Weeks 23–24Unit 7: TransformationsTranslations, Reflections and Rotations Quiz; Scale Factor and Dilations; Dilations on the Coordinate Plane; Properties of Transformations; Transformations Unit Review and Test (9 days)Apply their understanding of translations, reflections, and rotations on the coordinate plane; Describe dilations and the effects of scale factor; Dilate a figure on the coordinate plane and represent dilations algebraically; Verify the properties of transformations; Apply their understanding of the concepts included in the Transformations Unit; Assessments/Review: Translations, Reflections and Rotations Quiz; Transformations Unit Review and Test
17
Weeks 25–26Unit 8: Angle RelationshipsParallel Lines and Transversals; Applying Angle Relationships; Angle Relationships Mini-Quiz; Interior Angles of Triangles; Exterior Angles of Triangles (9 days)Identify angle relationships and find missing angles when parallel lines are cut by a transversal; Write and solve an equation to find missing angles when parallel lines are cut by a transversal; Apply their understanding of angle relationships and finding missing angles when parallel lines are cut by a transversal; Use facts about the angle sum of triangles to solve problems; Use facts about the exterior angles of triangles to solve problems; Assessments/Review: Angle Relationships Mini-Quiz
18
Weeks 27–28Unit 8: Angle Relationships / Unit 9: Pythagorean TheoremAngles in Similar Triangles; Triangle Relationships Mini-Quiz; Angle Relationships Unit Review and Test; The Pythagorean Theorem; Pythagorean Theorem Converse (9 days)Use angle-angle criterion to identify and solve problems with similar triangles; Apply their understanding of angle and triangle relationships to solve problems; Apply their understanding of the concepts included in the Angle Relationships Unit; Identify the parts of a right triangle and find a missing side length of a right triangle using the Pythagorean Theorem; Use the Pythagorean Theorem converse to prove whether a triangle is a right triangle; Assessments/Review: Triangle Relationships Mini-Quiz; Angle Relationships Unit Review and Test
19
Weeks 29–30Unit 9: Pythagorean TheoremApplying the Pythagorean Theorem; Pythagorean Theorem Quiz; Distance on a Coordinate Plane; 3D Applications of Pythagorean Theorem; Pythagorean Theorem Unit Review and Test (9 days)Apply the Pythagorean Theorem in real-world situations; Apply their understanding of the Pythagorean Theorem and the Pythagorean Theorem converse; Use the Pythagorean Theorem to find the distance on a coordinate plane; Apply the Pythagorean Theorem to three-dimensional figures; Apply their understanding of the concepts included in the Pythagorean Theorem Unit; Assessments/Review: Pythagorean Theorem Quiz; Pythagorean Theorem Unit Review and Test
20
Weeks 31–32Unit 10: Volume, Scatter Plots and DataVolume of Cylinders; Volume of Cones; Applying Volume of Cylinders and Cones; Volume of Cylinders and Cones Mini-Quiz; Volume of Spheres; Applying Volume of Spheres (11 days)Use the volume formula to find volume and missing measurements of cylinders; Solve problems involving the volume of cones; Solve real-world problems involving the volume of cylinders and cones; Apply their understanding of volume of cylinders and cones; Solve problems involving volume of spheres and compare the volume of cones, cylinders, and spheres; Solve real-world problems involving the volume of spheres; Assessments/Review: Volume of Cylinders and Cones Mini-Quiz
21
Weeks 33–34Unit 10: Volume, Scatter Plots and DataVolume of Spheres Mini-Quiz; Volume Unit Review and Test; Scatter Plots and Association; Constructing Scatter Plots; Scatter Plots and Predictions (9 days)Apply their understanding of volume of spheres; Apply their understanding of the concepts included in the Volume Unit; Describe the association between two variables on a scatter plot and distinguish linear vs non-linear data; Construct scatter plots and describe the observed data; Sketch a trend line to approximate linear relationships between sets of data and make predictions; Assessments/Review: Volume of Spheres Mini-Quiz; Volume Unit Review and Test
22
Weeks 35–36Unit 10: Volume, Scatter Plots and DataTrend Line Equations; Scatter Plots and Trend Lines Quiz; Two-Way Tables; Relative Frequency; Scatter Plots and Data Unit Review and Test (9 days)Write and use an equation for a trend line to make predictions; Apply their understanding of constructing and interpreting scatter plots, types of association, and trend lines; Construct and interpret two-way tables; Calculate relative frequency and use it to describe possible association; Apply their understanding of the concepts included in the Scatter Plots and Data Unit; Assessments/Review: Scatter Plots and Trend Lines Quiz; Scatter Plots and Data Unit Review and Test
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100