- Description
- Curriculum
- Reviews
8th Grade Summer Math Prep delivers instruction, practice, and review designed to develop computational fluency, deepen conceptual understanding, and apply mathematical practices. In this course, students focus on understanding functions — what they are, how to represent them in different ways, and how to write them to model mathematical and real-world situations. In particular, students investigate linear functions by learning about slope and slope-intercept form. Students’ understanding of linear functions is extended to statistics, where they make scatter plots and use linear functions to model data. They solve linear equations and equations involving roots, and explore systems of linear equations. Additional topics include exponents, powers of ten, scientific notation, and irrational numbers. Students learn about transformations, and extend that understanding to an investigation of congruence and similarity. Other geometric concepts explored include the Pythagorean theorem, angle relationships, and volumes of cylinders, cones, and spheres.
The two-semester course is arranged in themed units, each with three to five lessons. Each lesson includes a variety of activities such as direct instruction, application of skills, performance tasks, and formative and summative assessments. Students engage with the subject matter in an interactive, feedback-rich environment as they progress through standards-aligned content and demonstrate their learning through computer- and teacher-scored assignments. By constantly honing the ability to apply their knowledge in abstract and real-world scenarios, students build the depth of knowledge and higher-order skills required to demonstrate their mastery when put to the test.
This course is built to state standards.
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1Lesson 1: Rational and Irrational Numbers
- Study - Rational and Irrational Numbers: Learn how to distinguish irrational and rational numbers. Rewrite terminating and repeating decimals as fractions. Rewrite fractions, including mixed numbers, as decimals.
- Checkup - Rational and Irrational Numbers: Check your understanding of the lesson.
- Review - Rational and Irrational Numbers: Review important ideas and skills from this lesson.
- Practice - Rational and Irrational Numbers: Submit your work for a set of practice problems.
- Quiz - Rational and Irrational Numbers: Take a quiz to assess your understanding of the material.
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2Lesson 2: Approximating Irrational Numbers
- Study - Approximating Irrational Numbers: Work with approximations of decimal numbers, including pi and square roots of non-perfect squares. Place irrational numbers in order using a number line.
- Checkup - Approximating Irrational Numbers: Check your understanding of the lesson.
- Review - Approximating Irrational Numbers: Review important ideas and skills from this lesson.
- Practice - Approximating Irrational Numbers: Submit your work for a set of practice problems.
- Quiz - Approximating Irrational Numbers: Take a quiz to assess your understanding of the material.
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3Lesson 3: Properties of Exponents
- Study - Properties of Exponents: Learn important properties of exponents. Explore negative exponents and zero exponents. Simplify expressions with exponents.
- Checkup - Properties of Exponents: Check your understanding of the lesson.
- Review - Properties of Exponents: Review important ideas and skills from this lesson.
- Practice - Properties of Exponents: Submit your work for a set of practice problems.
- Quiz - Properties of Exponents: Take a quiz to assess your understanding of the material.
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4Lesson 4: Powers of 10
- Study - Powers of 10: Practice multiplying or dividing a number by a power of ten. Use powers of ten to estimate very large and very small numbers.
- Checkup - Powers of 10: Check your understanding of the lesson.
- Review - Powers of 10: Review important ideas and skills from this lesson.
- Practice - Powers of 10: Submit your work for a set of practice problems.
- Quiz - Powers of 10: Take a quiz to assess your understanding of the material.
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5Lesson 5: Scientific Notation
- Study - Scientific Notation: Use scientific notation to represent very large and very small numbers. Convert numbers from scientific to standard notation and vice-versa. Solve real-world problems by multiplying and dividing numbers in scientific notation.
- Checkup - Scientific Notation: Check your understanding of the lesson.
- Review - Scientific Notation: Review important ideas and skills from this lesson.
- Practice - Scientific Notation: Submit your work for a set of practice problems.
- Quiz - Scientific Notation: Take a quiz to assess your understanding of the material.
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6Lesson 6: Wrap-Up: The Number System
- Review - The Number System: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - The Number System: Take a computer-scored test to assess what you have learned in this unit.
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7Lesson 1: Functions and Relations
- Study - Functions and Relations: Learn definitions of relations and functions. Use the vertical line test and other methods to tell whether a relation is a function.
- Checkup - Functions and Relations: Check your understanding of the lesson.
- Review - Functions and Relations: Review important ideas and skills from this lesson.
- Practice - Functions and Relations: Submit your work for a set of practice problems.
- Quiz - Functions and Relations: Take a quiz to assess your understanding of the material.
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8Lesson 2: Slope
- Study - Slope: Explore the slopes of lines. Use the slope formula to calculate the slope of a line. Write equations for lines using y = mx + b form.
- Checkup - Slope: Check your understanding of the lesson.
- Review - Slope: Review important ideas and skills from this lesson.
- Practice - Slope: Submit your work for a set of practice problems.
- Quiz - Slope: Take a quiz to assess your understanding of the material.
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9Lesson 3: Multiple Representations of Proportions
- Study - Multiple Representations of Proportions: Represent proportions in different ways. Learn how to identify the graph of a proportional relationship and to use a graph to find the unit rate.
- Checkup - Multiple Representations of Proportions: Check your understanding of the lesson.
- Review - Multiple Representations of Proportions: Review important ideas and skills from this lesson.
- Practice - Multiple Representations of Proportions: Submit your work for a set of practice problems.
- Quiz - Multiple Representations of Proportions: Take a quiz to assess your understanding of the material.
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10Lesson 4: Graphs of Functions
- Study - Graphs of Functions: Show how graphs can be used to represent real-world situations. Interpret increasing, decreasing, flat, and curved sections of graphs.
- Checkup - Graphs of Functions: Check your understanding of the lesson.
- Review - Graphs of Functions: Review important ideas and skills from this lesson.
- Practice - Graphs of Functions: Submit your work for a set of practice problems.
- Quiz - Graphs of Functions: Take a quiz to assess your understanding of the material.
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11Lesson 5: Wrap-Up: Functions
- Review - Functions: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Functions: Take a computer-scored test to assess what you have learned in this unit.
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12Lesson 1: Comparing Functions
- Study - Comparing Functions: Compare properties of functions, including starting values and rates of change, for functions that are represented in different ways. Representations include tables, graphs, and equations.
- Checkup - Comparing Functions: Check your understanding of the lesson.
- Review - Comparing Functions: Review important ideas and skills from this lesson.
- Practice - Comparing Functions: Submit your work for a set of practice problems.
- Quiz - Comparing Functions: Take a quiz to assess your understanding of the material.
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13Lesson 2: Slope-Intercept Form
- Study - Slope-Intercept Form: Identify the slope and y-intercept from a linear equation in slope-intercept form. Determine whether the equation or formula modeling a real-world situation would be linear or nonlinear.
- Checkup - Slope-Intercept Form: Check your understanding of the lesson.
- Review - Slope-Intercept Form: Review important ideas and skills from this lesson.
- Practice - Slope-Intercept Form: Submit your work for a set of practice problems.
- Quiz - Slope-Intercept Form: Take a quiz to assess your understanding of the material.
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14Lesson 3: Writing Linear Functions
- Study - Writing Linear Functions: Given two points on a line, write an equation for the line. Write linear equations to model real-world situations. Interpret the slope and y-intercept of a linear equation that represents a real-world context.
- Checkup - Writing Linear Functions: Check your understanding of the lesson.
- Review - Writing Linear Functions: Review important ideas and skills from this lesson.
- Practice - Writing Linear Functions: Submit your work for a set of practice problems.
- Quiz - Writing Linear Functions: Take a quiz to assess your understanding of the material.
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15Lesson 4: Wrap-Up: Linear Functions
- Review - Linear Functions: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Linear Functions: Take a computer-scored test to assess what you have learned in this unit.
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16Lesson 1: Solving Linear Equations
- Study - Solving Linear Equations: Review methods for solving linear equations. Solve equations, including ones with variables on both sides. Determine whether an equation has 0, 1, or infinitely many solutions.
- Checkup - Solving Linear Equations: Check your understanding of the lesson.
- Review - Solving Linear Equations: Review important ideas and skills from this lesson.
- Practice - Solving Linear Equations: Submit your work for a set of practice problems.
- Quiz - Solving Linear Equations: Take a quiz to assess your understanding of the material.
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17Lesson 2: Solving Systems of Linear Equations
- Study - Solving Systems of Linear Equations: Learn what makes up a system of linear equations. Explore different ways to solve a system, including graphing, elimination, and substitution.
- Checkup - Solving Systems of Linear Equations: Check your understanding of the lesson.
- Review - Solving Systems of Linear Equations: Review important ideas and skills from this lesson.
- Practice - Solving Systems of Linear Equations: Submit your work for a set of practice problems.
- Quiz - Solving Systems of Linear Equations: Take a quiz to assess your understanding of the material.
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18Lesson 3: Solving Equations Using Roots
- Study - Solving Equations Using Roots: See how to use square roots and cube roots to solve equations. Use roots to solve real-world problems.
- Checkup - Solving Equations Using Roots: Check your understanding of the lesson.
- Review - Solving Equations Using Roots: Review important ideas and skills from this lesson.
- Practice - Solving Equations Using Roots: Submit your work for a set of practice problems.
- Quiz - Solving Equations Using Roots: Take a quiz to assess your understanding of the material.
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19Lesson 4: Wrap-Up: Solving Equations
- Review - Solving Equations: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Solving Equations: Take a computer-scored test to assess what you have learned in this unit.
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21Lesson 1: The Pythagorean Theorem
- Study - The Pythagorean Theorem: Learn the Pythagorean theorem and see different proofs that justify it. Given two side lengths in a right triangle, use the Pythagorean theorem to solve for the length of the third side.
- Checkup - The Pythagorean Theorem: Check your understanding of the lesson.
- Review - The Pythagorean Theorem: Review important ideas and skills from this lesson.
- Practice - The Pythagorean Theorem: Submit your work for a set of practice problems.
- Quiz - The Pythagorean Theorem: Take a quiz to assess your understanding of the material.
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22Lesson 2: The Converse of the Pythagorean Theorem
- Study - The Converse of the Pythagorean Theorem: See that the converse of the Pythagorean theorem is also true, and is used to test whether a triangle is a right triangle. Use the converse to test for right triangles. Investigate Pythagorean triples.
- Checkup - The Converse of the Pythagorean Theorem: Check your understanding of the lesson.
- Review - The Converse of the Pythagorean Theorem: Review important ideas and skills from this lesson.
- Practice - The Converse of the Pythagorean Theorem: Submit your work for a set of practice problems.
- Quiz - The Converse of the Pythagorean Theorem: Take a quiz to assess your understanding of the material.
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23Lesson 3: Distance on the Coordinate Plane
- Study - Distance on the Coordinate Plane: Review how to find distances between horizontally- and vertically-aligned points on a coordinate plane. Use the Pythagorean theorem to find distances between points that are not aligned.
- Checkup - Distance on the Coordinate Plane: Check your understanding of the lesson.
- Review - Distance on the Coordinate Plane: Review important ideas and skills from this lesson.
- Practice - Distance on the Coordinate Plane: Submit your work for a set of practice problems.
- Quiz - Distance on the Coordinate Plane: Take a quiz to assess your understanding of the material.
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24Lesson 4: Volume of Cylinders and Cones
- Study - Volume of Cylinders and Cones: Explore the volume formulas for cylinders and cones. Find volumes to solve mathematical and real-world problems.
- Checkup - Volume of Cylinders and Cones: Check your understanding of the lesson.
- Review - Volume of Cylinders and Cones: Review important ideas and skills from this lesson.
- Practice - Volume of Cylinders and Cones: Submit your work for a set of practice problems.
- Quiz - Volume of Cylinders and Cones: Take a quiz to assess your understanding of the material.
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25Lesson 5: Spheres
- Study - Spheres: Learn the volume formula for a sphere. Find the volume of a sphere given its radius and vice-versa. Solve problems involving volumes of planets and moons.
- Checkup - Spheres: Check your understanding of the lesson.
- Review - Spheres: Review important ideas and skills from this lesson.
- Practice - Spheres: Submit your work for a set of practice problems.
- Quiz - Spheres: Take a quiz to assess your understanding of the material.
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26Lesson 6: Wrap-Up: Geometry and Measurement
- Review - Geometry and Measurement: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Geometry and Measurement: Take a computer-scored test to assess what you have learned in this unit.
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27Lesson 1: Basics of Transformations
- Study - Basics of Transformations: Learn about three transformations: translations, reflections, and rotations. Investigate transformations of line segments, lines, and parallel lines.
- Checkup - Basics of Transformations: Check your understanding of the lesson.
- Review - Basics of Transformations: Review important ideas and skills from this lesson.
- Practice - Basics of Transformations: Submit your work for a set of practice problems.
- Quiz - Basics of Transformations: Take a quiz to assess your understanding of the material.
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28Lesson 2: Transformations and Congruence
- Study - Transformations and Congruence: Discover that figures are congruent if there is a series of translations, rotations, and reflections that moves one onto the other. Write congruence statements that show the correspondence between vertices of congruent figures.
- Checkup - Transformations and Congruence: Check your understanding of the lesson.
- Review - Transformations and Congruence: Review important ideas and skills from this lesson.
- Practice - Transformations and Congruence: Submit your work for a set of practice problems.
- Quiz - Transformations and Congruence: Take a quiz to assess your understanding of the material.
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29Lesson 3: Transformations in the Coordinate Plane
- Study - Transformations in the Coordinate Plane: Investigate transformations using coordinates. Learn and apply mathematical rules to describe translations, rotations, reflections, and dilations.
- Checkup - Transformations in the Coordinate Plane: Check your understanding of the lesson.
- Review - Transformations in the Coordinate Plane: Review important ideas and skills from this lesson.
- Practice - Transformations in the Coordinate Plane: Submit your work for a set of practice problems.
- Quiz - Transformations in the Coordinate Plane: Take a quiz to assess your understanding of the material.
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30Lesson 4: Wrap-Up: Transformations, Congruence, and Similarity, Part 1
- Review - Transformations, Congruence, and Similarity, Part 1: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Transformations, Congruence, and Similarity, Part 1: Take a computer-scored test to assess what you have
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31Lesson 1: Similarity and Dilations
- Study - Similarity and Dilations: Learn about what makes figures similar, and the relationship between similar figures and dilations. Find the coordinates of the vertices of the dilation of a figure. Explore movements of figures under multiple transformations.
- Checkup - Similarity and Dilations: Check your understanding of the lesson.
- Review - Similarity and Dilations: Review important ideas and skills from this lesson.
- Practice - Similarity and Dilations: Submit your work for a set of practice problems.
- Quiz - Similarity and Dilations: Take a quiz to assess your understanding of the material.
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32Lesson 2: Parallel Lines and Angle Relationships
- Study - Parallel Lines and Angle Relationships: Investigate the angles formed when lines are cut by a transversal. Use angle relationships to decide whether lines are parallel and to find unknown angle measures.
- Checkup - Parallel Lines and Angle Relationships: Check your understanding of the lesson.
- Review - Parallel Lines and Angle Relationships: Review important ideas and skills from this lesson.
- Practice - Parallel Lines and Angle Relationships: Submit your work for a set of practice problems.
- Quiz - Parallel Lines and Angle Relationships: Take a quiz to assess your understanding of the material.
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33Lesson 3: Angle Relationships in Triangles
- Study - Angle Relationships in Triangles: Discover that the sum of the angle measures in a triangle is always the same. Find the relationship between the measures of an exterior angle of a triangle and its remote interior angles. Use these properties to find unknown angle measures.
- Checkup - Angle Relationships in Triangles: Check your understanding of the lesson.
- Review - Angle Relationships in Triangles: Review important ideas and skills from this lesson.
- Practice - Angle Relationships in Triangles: Submit your work for a set of practice problems.
- Quiz - Angle Relationships in Triangles: Take a quiz to assess your understanding of the material.
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34Lesson 4: Wrap-Up: Transformations, Congruence, and Similarity, Part 2
- Review - Transformations, Congruence, and Similarity, Part 2: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Transformations, Congruence, and Similarity, Part 2: Take a computer-scored test to assess what you have learned in this unit.
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35Lesson 1: Scatterplots
- Study - Scatterplots: See how scatterplots are used to show paired data. Look for patterns and relationships in scatterplots, and identify the association, if any, shown in the data.
- Checkup - Scatterplots: Check your understanding of the lesson.
- Review - Scatterplots: Review important ideas and skills from this lesson.
- Practice - Scatterplots: Submit your work for a set of practice problems.
- Quiz - Scatterplots: Take a quiz to assess your understanding of the material.
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36Lesson 2: Linear Models in Data
- Study - Linear Models in Data: Draw trend lines to approximate data on scatterplots. Write equations for trend lines and use those equations to make predictions.
- Checkup - Linear Models in Data: Check your understanding of the lesson.
- Review - Linear Models in Data: Review important ideas and skills from this lesson.
- Practice - Linear Models in Data: Submit your work for a set of practice problems.
- Quiz - Linear Models in Data: Take a quiz to assess your understanding of the material.
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37Lesson 3: Frequency Tables
- Study - Frequency Tables: Build two-way frequency tables and relative frequency tables. Interpret the data in tables and compare relative frequencies.
- Checkup - Frequency Tables: Check your understanding of the lesson.
- Review - Frequency Tables: Review important ideas and skills from this lesson.
- Practice - Frequency Tables: Submit your work for a set of practice problems.
- Quiz - Frequency Tables: Take a quiz to assess your understanding of the material.
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38Lesson 4: Wrap-Up: Data and Statistics
- Review - Data and Statistics: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Data and Statistics: Take a computer-scored test to assess what you have learned in this unit.