Reveal Math
Grade 8
2022-23 School Year
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 | |
Date of Cycle | August 9, 2023 to Oct 17, 2023 | October 18, 2023 to December 19, 2023 | January 3, 2023 to March 4, 2023 | March 5, 2023 to May 16, 2023 |
Total Teaching Days | 42 | 41 | 42 | 46 |
Modules | Module 1 Module 2 Module 3 | Module 4 Module 5 | Module 6 Module 7 Module 8 | Module 9 Module 10 Module 11 |
Quarter 1 |
Suggested Days | Unit 1 Module 1 Lessons | Kentucky Academic Standards Module 1: Proportional Relationships | |
Days 16 | Module Pretest and Launch the Module video Lesson 1: Powers and Exponents Lesson 2: Multiply and Divide Monomials Put It All Together 1: Lesson 1-2 Lesson 3: Powers of Monomials Put It All Together 2: Lessons 1-2 and 1-3 Lesson 4: Zero and Negative Exponents Put It All Together 3: Lessons 1-2 through 1-4 Lesson 5: Scientific Notation Lesson 6: Compute with Scientific Notation Module Review Module Assessment | KY.8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. KY.8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 (Scientific Notation) to estimate very large or very small quantities and express how many times larger or smaller one is than the other. MP.3, MP.5, MP.6 KY.8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. Interpret scientific notation that has been generated by technology. MP.2, MP.5, MP.6 | |
Suggested Days | Unit 2 Module 2 Lessons | Kentucky Academic Standards Module 2: Real Numbers | |
Days 14 | Module Pretest and Launch the Module video Lesson 1: Terminating and Repeating Decimals Lesson 2: Roots Lesson 3: Real Numbers Put It All Together 1: Lessons 2-1 through 2-3 Lesson 4: Estimate Irrational Numbers Lesson 5: Compare and Order Real Numbers Put It All Together 2: Lessons 2-4 and 2-5 Module Review Module Assessment | KY.8.NS.1 Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational. KY.8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram and estimate the value of expressions. KY.8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that perfect squares and perfect cubes are rational. | |
Suggested Days | Unit 3 Module 3 Lessons | Kentucky Academic Standards Module 3: Solve Equations with Variables on Each Side | |
14 Days | Module Pretest and Launch the Module video Lesson 1: Solve Equations with Variables on Each Side Lesson 2: Write and Solve Equations with Variables on Each Side Lesson 3: Solve Multi-Step Equations Lesson 4: Write and Solve Multi-Step Equations Lesson 5: Determine the Number of Solutions Put It All Together: Lessons 3-1 through 3-5 Module Review Module Assessment | KY.8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form 𝑥 = 𝑎, 𝑎 = 𝑎, or 𝑎 = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and combining like terms. | |
Quarter 2 |
Suggested Days | Unit 4 Module 4 Lessons | Kentucky Academic Standards Module 4: Linear Relationships and Slope | |
17 | Module Pretest and Launch the Module video Lesson 1: Proportional Relationships and Slope Lesson 2: Slope of a Line Lesson 3: Similar Triangles and Slope Lesson 4: Direct Variation Put It All Together 1: Lessons 4-1 through 4-4 Lesson 5: Slope-Intercept Form Lesson 6: Graph Linear Equations Put It All Together 2: Lessons 4-5 and 4-6 Module Review Module Assessment | KY.8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. KY.8.EE.6 Use similar triangles to explain why the slope, m, is the same between any two distinct points on a non-vertical line in the coordinate plane; know the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. | |
Suggested Days | Unit 5 Module 5 Lessons | Kentucky Academic Standards Module 5: Functions | |
16 Days | Module Pretest and Launch the Module video Lesson 1: Identify Functions Lesson 2: Function Tables Lesson 3: Construct Linear Functions Put It All Together 1: Lessons 5-1 through 5-3 Lesson 4: Compare Functions Lesson 5: Nonlinear Functions Lesson 6: Qualitative Graphs Put It All Together 2: Lessons 5-4 through 5-6 Module Review Module Assessment | KY.8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. KY.8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). KY.8.F.3 Understand properties of linear functions. a. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line. b. Identify and give examples of functions that are not linear. KY.8.F.4 Construct a function to model a linear relationship between two quantities. a. Determine the rate of change and initial value of the function from a description of a relationship or from two b. Interpret the rate of change and initial value of a linear function in terms of the situation it models and in terms of its graph or a table of values. KY.8.F.5 Use graphs to represent functions. a. Describe qualitatively the functional relationship between two quantities by analyzing a graph. b. Sketch a graph that exhibits the qualitative features of a function that has been described verbally. | |
Quarter 3 |
Suggested Days | Unit 6 Module 6 Lessons | Kentucky Academic Standards Module 6: Systems of Linear Equations | |
18 Days | Module Pretest and Launch the Module video Lesson 1: Solve Systems of Equations by Graphing Lesson 2: Determine Number of Solutions Lesson 3: Solve Systems of Equations by Substitution Lesson 4: Solve Systems of Equations by Elimination Lesson 5: Write and Solve Systems of Equations Put It All Together: Lessons 6-1 through 6-5 Module Review Module Assessment | KY.8.EE.8 Analyze and solve a system of two linear equations. a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously; understand that a system of two linear equations may have one solution, no solution, or infinitely many solutions. b. Solve systems of two linear equations in two variables algebraically by using substitution where at least one equation contains at least one variable whose coefficient is 1 and by inspection for simple cases c. Solve real-world and mathematical problems leading to two linear equations in two variables. | |
Suggested Days | Unit 7 Module 7 Lessons | Kentucky Academic Standards Module 7: Triangles and the Pythagorean Theorem | |
16 Days | Module Pretest and Launch the Module video Lesson 1: Angle Relationships and Parallel Lines Lesson 2: Angle Relationships and Triangles Put It All Together: Lessons 7-1 and 7-2 Lesson 3: The Pythagorean Theorem Lesson 4: Converse of the Pythagorean Theorem Lesson 5: Distance on the Coordinate Plane Module Review Module Assessment | KY.8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that perfect squares and perfect cubes are rational. KY.8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal and the angle-angle criterion for similarity of triangles. KY.8.G.6 Explain a proof of the Pythagorean Theorem and its converse. KY.8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. KY.8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. | |
Suggested Days | Unit 8 Module Module 8 Lessons | Kentucky Academic Standards Module 8: Transformations | |
15 Days | Module Pretest and Launch the Module video Lesson 1: Translations Lesson 2: Reflections Put It All Together 1: Lessons 8-1 and 8-2 Lesson 3: Rotations Lesson 4: Dilations Put It All Together 2: Lessons 8-1 through 8-4 Module Review Module Assessment | KY.8.G.1 Verify experimentally the properties of rotations, reflections and translations: ● Lines are congruent to lines. ● Line segments are congruent to line segments of the same length. ● Angles are congruent to angles of the same measure. ● Parallel lines are congruent to parallel lines. KY.8.G.3 Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates. | |
Quarter 4 |
Suggested Days | Unit 9 Module 9 Lessons | Kentucky Academic Standards Module9: Congruence and Similarity | |
15 Days | Module Pretest and Launch the Module video Lesson 1: Congruence and Transformations Lesson 2: Congruence and Corresponding Parts Put It All Together 1: Lessons 9-1 and 9-2 Lesson 3: Similarity and Transformations Lesson 4: Similarity and Corresponding Parts Lesson 5: Indirect Measurement Put It All Together 2: Lessons 9-3 through 9-5 Module Review Module Assessment | KY.8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections and translations. Given two congruent figures, describe a sequence that exhibits the congruence between them. KY.8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations and dilations. Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. | |
Suggested Days | Unit 10 Module 10 Lessons | Kentucky Academic Standards Module 10: Volume |
16 Days | Module Pretest and Launch the Module video Lesson 1: Volume of Cylinders Lesson 2: Volume of Cones Lesson 3: Volume of Spheres Put It All Together: Lessons 10-1 through 10-3 Lesson 4: Find Missing Dimensions Lesson 5: Volume of Composite Solids Module Review Module Assessment | KY.8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that perfect squares and perfect cubes are rational. KY.8.G.9 Apply the formulas for the volumes and surface areas of cones, cylinders and spheres and use them to solve real-world and mathematical problems. |
Suggested Days | Unit 11 Module 11 Lessons | Kentucky Academic Standards Module 11: Scatter Plots and Two-Way Tables | |
15 Days | Module Pretest and Launch the Module video Lesson 1: Scatter Plots Lesson 2: Draw Lines of Fit Lesson 3: Equations for Lines of Fit Put It All Together 1: Lessons 11-1 through 11-3 Lesson 4: Two-Way Tables Lesson 5: Associations in Two-Way Tables Put It All Together 2: Lessons 11-4 and 11-5 Module Review Module Assessment | KY.8.SP.1 Construct and interpret scatter plots for bivariate numerical data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association and nonlinear association. KY.8.SP.2 Know that lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a line and informally assess the model fit by judging the closeness of the data points to the line. KY.8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate numerical data, interpreting the slope and intercept. | |