- Description
- Curriculum
- Reviews
7th Grade Summer Math Prep delivers instruction, practice, and review designed to develop computational fluency, deepen conceptual understanding, and apply mathematical practices. Throughout the course, students gain a deep understanding of proportions and their use in solving problems. They extend their fluency with operations on rational numbers and translate among different forms of rational numbers. Algebra topics include simplifying and rewriting algebraic expressions and solving more complex equations and inequalities. Students also sketch geometric figures and explore scale drawings, investigate circle properties and angle relationships, and deepen their understanding of area, volume, and surface area. They see how statistics uses sample data to make predictions about populations and compare data from different data sets. Students gain a fundamental understanding of probability and explore different ways to find or estimate probabilities.
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: Unit Rates
- Study - Unit Rates: Compute unit rates and use them to solve problems.
- Checkup - Unit Rates: Check your understanding of the lesson.
- Review - Unit Rates: Review important ideas and skills from this lesson.
- Practice - Unit Rates: Submit your work for a set of practice problems.
- Quiz - Unit Rates: Take a quiz to assess your understanding of the material.
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2Lesson 2: Identifying Proportional Relationships
- Study - Identifying Proportional Relationships: Know how to identify proportional quantities by looking for constant ratios and by graphing.
- Checkup - Identifying Proportional Relationships: Check your understanding of the lesson.
- Review - Identifying Proportional Relationships: Review important ideas and skills from this lesson.
- Practice - Identifying Proportional Relationships: Submit your work for a set of practice problems.
- Quiz - Identifying Proportional Relationships: Take a quiz to assess your understanding of the material.
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3Lesson 3: Analyzing Proportional Relationships
- Study - Analyzing Proportional Relationships: Understand the importance of the constant of proportionality. Find the constant of proportionality from a table, a graph, or an equation.
- Checkup - Analyzing Proportional Relationships: Check your understanding of the lesson.
- Review - Analyzing Proportional Relationships: Review important ideas and skills from this lesson.
- Practice - Analyzing Proportional Relationships: Submit your work for a set of practice problems.
- Quiz - Analyzing Proportional Relationships: Take a quiz to assess your understanding of the material.
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4Lesson 4: Representing Proportional Relationships
- Study - Representing Proportional Relationships: Interpret proportional relationships from a graph. Know how to interpret points on the graph of a proportion.
- Checkup - Representing Proportional Relationships: Check your understanding of the lesson.
- Review - Representing Proportional Relationships: Review important ideas and skills from this lesson.
- Practice - Representing Proportional Relationships: Submit your work for a set of practice problems.
- Quiz - Representing Proportional Relationships: Take a quiz to assess your understanding of the material.
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5Lesson 5: Using Proportions to Solve Problems
- Study - Using Proportions to Solve Problems: Use proportions to solve problems involving percents. Find a percent of increase or decrease, and calculate taxes and discounts.
- Checkup - Using Proportions to Solve Problems: Check your understanding of the lesson.
- Review - Using Proportions to Solve Problems: Review important ideas and skills from this lesson.
- Practice - Using Proportions to Solve Problems: Submit your work for a set of practice problems.
- Quiz - Using Proportions to Solve Problems: Take a quiz to assess your understanding of the material.
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6Lesson 6: Wrap-Up: Rate, Ratio, and Proportion
- Review - Rate, Ratio, and Proportion: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Rate, Ratio, and Proportion: Take a computer-scored test to assess what you have learned in this unit.
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7Lesson 1: Adding Rational Numbers
- Study - Adding Rational Numbers: Add positive and negative rational numbers. Use a number line to show addition of signed numbers.
- Checkup - Adding Rational Numbers: Check your understanding of the lesson.
- Review - Adding Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Adding Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Adding Rational Numbers: Take a quiz to assess your understanding of the material.
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8Lesson 2: Subtracting Rational Numbers
- Study - Subtracting Rational Numbers: See that subtracting a number is the same as adding its opposite. Use subtraction of rational numbers, including signed numbers, to solve problems.
- Checkup - Subtracting Rational Numbers: Check your understanding of the lesson.
- Review - Subtracting Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Subtracting Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Subtracting Rational Numbers: Take a quiz to assess your understanding of the material.
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9Lesson 3: Using Properties to Add and Subtract Rational Numbers
- Study - Using Properties to Add and Subtract Rational Numbers: Use the commutative, associative, and distributive properties in addition problems. Apply these properties to make problems simpler, rewriting subtraction as addition of the opposite when necessary.
- Checkup - Using Properties to Add and Subtract Rational Numbers: Check your understanding of the lesson.
- Review - Using Properties to Add and Subtract Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Using Properties to Add and Subtract Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Using Properties to Add and Subtract Rational Numbers: Take a quiz to assess your understanding of the material.
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10Lesson 4: Wrap-Up: Addition and Subtraction of Rational Numbers
- Review - Addition and Subtraction of Rational Numbers: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Addition and Subtraction of Rational Numbers: Take a computer-scored test to assess what you have learned in this unit.
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11Lesson 1: Multiplying Rational Numbers
- Study - Multiplying Rational Numbers: Discover the rules for multiplying signed numbers. Solve problems involving multiplication of rational numbers. Given an equation, write a problem it could model.
- Checkup - Multiplying Rational Numbers: Check your understanding of the lesson.
- Review - Multiplying Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Multiplying Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Multiplying Rational Numbers: Take a quiz to assess your understanding of the material.
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12Lesson 2: Dividing Rational Numbers
- Study - Dividing Rational Numbers: Learn that the sign rules for division are the same as the rules for multiplication. Understand how to divide fractions, and that division by 0 is undefined.
- Checkup - Dividing Rational Numbers: Check your understanding of the lesson.
- Review - Dividing Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Dividing Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Dividing Rational Numbers: Take a quiz to assess your understanding of the material.
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13Lesson 3: Using Properties to Multiply and Divide Rational Numbers
- Study - Using Properties to Multiply and Divide Rational Numbers: Learn how to use properties when multiplying and dividing signed numbers. See how to rewrite division as multiplication by the reciprocal. Apply properties to make multiplication simpler.
- Checkup - Using Properties to Multiply and Divide Rational Numbers: Check your understanding of the lesson.
- Review - Using Properties to Multiply and Divide Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Using Properties to Multiply and Divide Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Using Properties to Multiply and Divide Rational Numbers: Take a quiz to assess your understanding of the material.
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14Lesson 4: Expressing Rational Numbers in Decimal Form
- Study - Expressing Rational Numbers in Decimal Form: Use division to rewrite fractions as decimals. See that this division may result in a repeating decimal, and learn how to write repeating decimals. Understand that some numbers are not rational.
- Checkup - Expressing Rational Numbers in Decimal Form: Check your understanding of the lesson.
- Review - Expressing Rational Numbers in Decimal Form: Review important ideas and skills from this lesson.
- Practice - Expressing Rational Numbers in Decimal Form: Submit your work for a set of practice problems.
- Quiz - Expressing Rational Numbers in Decimal Form: Take a quiz to assess your understanding of the material.
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15Lesson 5: Using Operations on Rational Numbers to Solve Problems
- Study - Using Operations on Rational Numbers to Solve Problems: Use the order of operations to simplify expressions with rational numbers. Solve real-world and mathematical problems involving multiplication, division, addition, and subtraction.
- Checkup - Using Operations on Rational Numbers to Solve Problems: Check your understanding of the lesson.
- Review - Using Operations on Rational Numbers to Solve Problems: Review important ideas and skills from this lesson.
- Practice - Using Operations on Rational Numbers to Solve Problems: Submit your work for a set of practice problems.
- Quiz - Using Operations on Rational Numbers to Solve Problems: Take a quiz to assess your understanding of the material.
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16Lesson 6: Wrap-Up: Multiplication and Division of Rational Numbers
- Review - Multiplication and Division of Rational Numbers: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Multiplication and Division of Rational Numbers: Take a computer-scored test to assess what you have learned in this unit.
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17Lesson 1: Simplifying and Rewriting Algebraic Expressions
- Study - Simplifying and Rewriting Algebraic Expressions: Learn how to simplify algebraic expressions by combining like terms. Add, subtract, factor, and expand linear expressions.
- Checkup - Simplifying and Rewriting Algebraic Expressions: Check your understanding of the lesson.
- Review - Simplifying and Rewriting Algebraic Expressions: Review important ideas and skills from this lesson.
- Practice - Simplifying and Rewriting Algebraic Expressions: Submit your work for a set of practice problems.
- Quiz - Simplifying and Rewriting Algebraic Expressions: Take a quiz to assess your understanding of the material.
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18Lesson 2: Solving Multi-Step Problems with Rational Numbers
- Study - Solving Multi-Step Problems with Rational Numbers: Solve algebraic and real-world multi-step problems. Problems include mixed numbers, decimals, and signed numbers, and require the correct use of mathematical properties and the order of operations.
- Checkup - Solving Multi-Step Problems with Rational Numbers: Check your understanding of the lesson.
- Review - Solving Multi-Step Problems with Rational Numbers: Review important ideas and skills from this lesson.
- Practice - Solving Multi-Step Problems with Rational Numbers: Submit your work for a set of practice problems.
- Quiz - Solving Multi-Step Problems with Rational Numbers: Take a quiz to assess your understanding of the material.
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19Lesson 3: Solving Two-Step Equations
- Study - Solving Two-Step Equations: Solve two-step problems arithmetically by reversing the operations and their order. Develop and use an algebraic method to solve two-step equations by using inverse operations.
- Checkup - Solving Two-Step Equations: Check your understanding of the lesson.
- Review - Solving Two-Step Equations: Review important ideas and skills from this lesson.
- Practice - Solving Two-Step Equations: Submit your work for a set of practice problems.
- Quiz - Solving Two-Step Equations: Take a quiz to assess your understanding of the material.
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20Lesson 4: Solving Linear Inequalities
- Study - Solving Linear Inequalities: Write inequalities to represent problems. Solve inequalities algebraically and show the solutions on a number line. See that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign.
- Checkup - Solving Linear Inequalities: Check your understanding of the lesson.
- Review - Solving Linear Inequalities: Review important ideas and skills from this lesson.
- Practice - Solving Linear Inequalities: Submit your work for a set of practice problems.
- Quiz - Solving Linear Inequalities: Take a quiz to assess your understanding of the material.
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21Lesson 5: Wrap-Up: Foundations of Algebra
- Review - Foundations of Algebra: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Foundations of Algebra: Take a computer-scored test to assess what you have learned in this unit.
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23Lesson 1: Scale Drawings
- Study - Scale Drawings: Understand that a scale drawing represents a real object, but is a different size. Know the role of the scale factor. Use scale drawings to compute lengths and areas of real objects.
- Checkup - Scale Drawings: Check your understanding of the lesson.
- Review - Scale Drawings: Review important ideas and skills from this lesson.
- Practice - Scale Drawings: Submit your work for a set of practice problems.
- Quiz - Scale Drawings: Take a quiz to assess your understanding of the material.
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24Lesson 2: Geometric Drawings
- Study - Geometric Drawings: Use a protractor and ruler to draw geometric figures. Given three measurements for a triangle, determine whether it is possible to draw 0, 1, or more than one such triangle.
- Checkup - Geometric Drawings: Check your understanding of the lesson.
- Review - Geometric Drawings: Review important ideas and skills from this lesson.
- Practice - Geometric Drawings: Submit your work for a set of practice problems.
- Quiz - Geometric Drawings: Take a quiz to assess your understanding of the material.
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25Lesson 3: Cross-Sections of Geometric Solids
- Study - Cross-Sections of Geometric Solids: Learn the meaning of the cross-section of a solid. Identify cross-sections for different figures, especially prisms and pyramids.
- Checkup - Cross-Sections of Geometric Solids: Check your understanding of the lesson.
- Review - Cross-Sections of Geometric Solids: Review important ideas and skills from this lesson.
- Practice - Cross-Sections of Geometric Solids: Submit your work for a set of practice problems.
- Quiz - Cross-Sections of Geometric Solids: Take a quiz to assess your understanding of the material.
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26Lesson 4: Wrap-Up: Geometric Figures
- Review - Geometric Figures: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Geometric Figures: Take a computer-scored test to assess what you have learned in this unit.
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27Lesson 1: Circles
- Study - Circles: Learn the parts of a circle. Understand the number pi. Learn and apply the circumference and area formulas for a circle.
- Checkup - Circles: Check your understanding of the lesson.
- Review - Circles: Review important ideas and skills from this lesson.
- Practice - Circles: Submit your work for a set of practice problems.
- Quiz - Circles: Take a quiz to assess your understanding of the material.
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28Lesson 2: Angle Relationships
- Study - Angle Relationships: Explore relationships between different types of angles, including vertical, adjacent, complementary, and supplementary angles. Use these relationships to find unknown angle measures.
- Checkup - Angle Relationships: Check your understanding of the lesson.
- Review - Angle Relationships: Review important ideas and skills from this lesson.
- Practice - Angle Relationships: Submit your work for a set of practice problems.
- Quiz - Angle Relationships: Take a quiz to assess your understanding of the material.
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29Lesson 3: Area, Volume, and Surface Area
- Study - Area, Volume, and Surface Area: Explore areas of parallelograms and composite figures. Investigate surface areas and volumes of triangular prisms and composite solids.
- Checkup - Area, Volume, and Surface Area: Check your understanding of the lesson.
- Review - Area, Volume, and Surface Area: Review important ideas and skills from this lesson.
- Practice - Area, Volume, and Surface Area: Submit your work for a set of practice problems.
- Quiz - Area, Volume, and Surface Area: Take a quiz to assess your understanding of the material.
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30Lesson 4: Wrap-Up: Geometry in Two and Three Dimensions
- Review - Geometry in Two and Three Dimensions: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Geometry in Two and Three Dimensions: Take a computer-scored test to assess what you have learned in this unit.
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31Lesson 1: Populations and Samples
- Study - Populations and Samples: Learn the difference between a population and a statistical sample. Learn about the importance of taking a representative sample, and see how to make predictions based on random samples.
- Checkup - Populations and Samples: Check your understanding of the lesson.
- Review - Populations and Samples: Review important ideas and skills from this lesson.
- Practice - Populations and Samples: Submit your work for a set of practice problems.
- Quiz - Populations and Samples: Take a quiz to assess your understanding of the material.
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32Lesson 2: Comparing Data Sets Visually
- Study - Comparing Data Sets Visually: Practice finding the mean absolute deviation (MAD) for a data set. Use the MAD as a way to compare the means of two data sets.
- Checkup - Comparing Data Sets Visually: Check your understanding of the lesson.
- Review - Comparing Data Sets Visually: Review important ideas and skills from this lesson.
- Practice - Comparing Data Sets Visually: Submit your work for a set of practice problems.
- Quiz - Comparing Data Sets Visually: Take a quiz to assess your understanding of the material.
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33Lesson 3: Using Statistical Measures to Compare Data Sets
- Study - Using Statistical Measures to Compare Data Sets: Use means and medians to compare the centers of data sets. Use ranges and MADs to compare the variabilities of data sets. Compare populations based on sample data.
- Checkup - Using Statistical Measures to Compare Data Sets: Check your understanding of the lesson.
- Review - Using Statistical Measures to Compare Data Sets: Review important ideas and skills from this lesson.
- Practice - Using Statistical Measures to Compare Data Sets: Submit your work for a set of practice problems.
- Quiz - Using Statistical Measures to Compare Data Sets: Take a quiz to assess your understanding of the material.
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34Lesson 4: Wrap-Up: Statistics and Sampling
- Review - Statistics and Sampling: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Statistics and Sampling: Take a computer-scored test to assess what you have learned in this unit.
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35Lesson 1: Probability
- Study - Probability: Understand that the likelihood of an event, called the probability, is a number from 0 (impossible) to 1 (certain). Use the fraction of times an event is observed to estimate its probability.
- Checkup - Probability: Check your understanding of the lesson.
- Review - Probability: Review important ideas and skills from this lesson.
- Practice - Probability: Submit your work for a set of practice problems.
- Quiz - Probability: Take a quiz to assess your understanding of the material.
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36Lesson 2: Calculating Probability
- Study - Calculating Probability: Find the probabilities of equally-likely outcomes and events that include more than one equally-likely outcome. Estimate probabilities based on experimental results.
- Checkup - Calculating Probability: Check your understanding of the lesson.
- Review - Calculating Probability: Review important ideas and skills from this lesson.
- Practice - Calculating Probability: Submit your work for a set of practice problems.
- Quiz - Calculating Probability: Take a quiz to assess your understanding of the material.
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37Lesson 3: Probability of Compound Events
- Study - Probability of Compound Events: Learn the definition of a compound event. Use lists, tables, and tree diagrams to identify the outcomes of a compound event.
- Checkup - Probability of Compound Events: Check your understanding of the lesson.
- Review - Probability of Compound Events: Review important ideas and skills from this lesson.
- Practice - Probability of Compound Events: Submit your work for a set of practice problems.
- Quiz - Probability of Compound Events: Take a quiz to assess your understanding of the material.
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38Lesson 4: Simulations
- Study - Simulations: See how to use simulations to estimate an unknown probability. Design simulations using coins, number cubes, and random digits.
- Checkup - Simulations: Check your understanding of the lesson.
- Review - Simulations: Review important ideas and skills from this lesson.
- Practice - Simulations: Submit your work for a set of practice problems.
- Quiz - Simulations: Take a quiz to assess your understanding of the material.
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39Lesson 5: Wrap-Up: Probability
- Review - Probability: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Probability: Take a computer-scored test to assess what you have learned in this unit.