- Description
- Curriculum
- Reviews
6th Grade Summer Math Prep delivers instruction, practice, and review designed to develop computational fluency, deepen conceptual understanding, and apply mathematical practices. Course topics include ratios and rates, fraction and decimal operations, and signed numbers. Students continue to build their algebra skills by plotting points in all four quadrants of the coordinate plane and solving equations and inequalities. Geometry topics include area, surface area, and volume, and statistical work features measures of center and variability, box plots, dot plots, and histograms.
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: Ratios
- Study - Ratios: Learn the definition of a ratio. Investigate and compare ratios. Learn how to write equivalent ratios.
- Checkup - Ratios: Check your understanding of the lesson.
- Review - Ratios: Review important ideas and skills from this lesson.
- Practice - Ratios: Submit your work for a set of practice problems.
- Quiz - Ratios: Take a quiz to assess your understanding of the material.
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2Lesson 2: Rates and Unit Rates
- Study - Rates and Unit Rates: Learn how a ratio is a special kind of rate. Find unit rates and use them to solve problems.
- Checkup - Rates and Unit Rates: Check your understanding of the lesson.
- Review - Rates and Unit Rates: Review important ideas and skills from this lesson.
- Practice - Rates and Unit Rates: Submit your work for a set of practice problems.
- Quiz - Rates and Unit Rates: Take a quiz to assess your understanding of the material.
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3Lesson 3: Solving Percent Problems
- Study - Solving Percent Problems: Write a percent as a number out of 100. Given a percent and a part or a whole, find the unknown
- Checkup - Solving Percent Problems: Check your understanding of the lesson.
- Review - Solving Percent Problems: Review important ideas and skills from this lesson.
- Practice - Solving Percent Problems: Submit your work for a set of practice problems.
- Quiz - Solving Percent Problems: Take a quiz to assess your understanding of the material.
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4Lesson 4: Unit Conversions
- Study - Unit Conversions: Convert measurements from larger to smaller units and vice-versa.
- Checkup - Unit Conversions: Check your understanding of the lesson.
- Review - Unit Conversions: Review important ideas and skills from this lesson.
- Practice - Unit Conversions: Submit your work for a set of practice problems.
- Quiz - Unit Conversions: Take a quiz to assess your understanding of the material.
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5Lesson 5: Wrap-Up: Ratios and Rates
- Review - Ratios and Rates: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Ratios and Rates: Take a computer-scored test to assess what you have learned in this unit.
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6Lesson 1: Dividing Fractions
- Study - Dividing Fractions: Use a visual model to understand fraction division. Find quotients of fractions.
- Checkup - Dividing Fractions: Check your understanding of the lesson.
- Review - Dividing Fractions: Review important ideas and skills from this lesson.
- Practice - Dividing Fractions: Submit your work for a set of practice problems.
- Quiz - Dividing Fractions: Take a quiz to assess your understanding of the material.
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7Lesson 2: Solving Problems by Dividing Fractions
- Study - Solving Problems by Dividing Fractions: Solve real-world problems by dividing fractions. Write problems to match a fraction division problem.
- Checkup - Solving Problems by Dividing Fractions: Check your understanding of the lesson.
- Review - Solving Problems by Dividing Fractions: Review important ideas and skills from this lesson.
- Practice - Solving Problems by Dividing Fractions: Submit your work for a set of practice problems.
- Quiz - Solving Problems by Dividing Fractions: Take a quiz to assess your understanding of the material.
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8Lesson 3: Dividing Multi-Digit Whole Numbers
- Study - Dividing Multi-Digit Whole Numbers: Use long division to find quotients. Solve problems by dividing multi-digit whole numbers.
- Checkup - Dividing Multi-Digit Whole Numbers: Check your understanding of the lesson.
- Review - Dividing Multi-Digit Whole Numbers: Review important ideas and skills from this lesson.
- Practice - Dividing Multi-Digit Whole Numbers: Submit your work for a set of practice problems.
- Quiz - Dividing Multi-Digit Whole Numbers: Take a quiz to assess your understanding of the material.
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9Lesson 4: Decimal Operations
- Study - Decimal Operations: Add, subtract, multiply, and divide decimal numbers. Use decimal number operations to solve real-world problems.
- Checkup - Decimal Operations: Check your understanding of the lesson.
- Review - Decimal Operations: Review important ideas and skills from this lesson.
- Practice - Decimal Operations: Submit your work for a set of practice problems.
- Quiz - Decimal Operations: Take a quiz to assess your understanding of the material.
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10Lesson 5: Greatest Common Factor and Least Common Multiple
- Study - Greatest Common Factor and Least Common Multiple: Learn the definitions of greatest common factor (GCF) and least common multiple (LCM). Find GCFs and LCMs and use them to solve problems.
- Checkup - Greatest Common Factor and Least Common Multiple: Check your understanding of the lesson.
- Review - Greatest Common Factor and Least Common Multiple: Review important ideas and skills from this lesson.
- Practice - Greatest Common Factor and Least Common Multiple: Submit your work for a set of practice problems.
- Quiz - Greatest Common Factor and Least Common Multiple: Take a quiz to assess your understanding of the material.
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11Lesson 6: Wrap-Up: Number Sense
- Review - Number Sense: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Number Sense: Take a computer-scored test to assess what you have learned in this unit.
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12Lesson 1: Signed Numbers
- Study - Signed Numbers: Use positive and negative numbers to represent quantities in the real world. Identify the opposite of a number, and plot opposites on a number line.
- Checkup - Signed Numbers: Check your understanding of the lesson.
- Review - Signed Numbers: Review important ideas and skills from this lesson.
- Practice - Signed Numbers: Submit your work for a set of practice problems.
- Quiz - Signed Numbers: Take a quiz to assess your understanding of the material.
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13Lesson 2: Inequalities and Comparison
- Study - Inequalities and Comparison: Understand that the farther to the left on a number line a quantity is, the less it is. Write inequalities to compare numbers plotted on a number line and to compare real-world quantities.
- Checkup - Inequalities and Comparison: Check your understanding of the lesson.
- Review - Inequalities and Comparison: Review important ideas and skills from this lesson.
- Practice - Inequalities and Comparison: Submit your work for a set of practice problems.
- Quiz - Inequalities and Comparison: Take a quiz to assess your understanding of the material.
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14Lesson 3: Absolute Value
- Study - Absolute Value: Understand that the absolute value of a number is its distance from 0 on a number line. See that the absolute value of a number represents its magnitude (size), and compare magnitudes of signed numbers.
- Checkup - Absolute Value: Check your understanding of the lesson.
- Review - Absolute Value: Review important ideas and skills from this lesson.
- Practice - Absolute Value: Submit your work for a set of practice problems.
- Quiz - Absolute Value: Take a quiz to assess your understanding of the material.
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15Lesson 4: Wrap-Up: Signed Numbers
- Review - Signed Numbers: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Signed Numbers: Take a computer-scored test to assess what you have learned in this unit.
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16Lesson 1: Plotting Points in The Coordinate Plane
- Study - Plotting Points in the Coordinate Plane: Plot positive and negative rational numbers on a coordinate plane.
- Checkup - Plotting Points in the Coordinate Plane: Check your understanding of the lesson.
- Review - Plotting Points in the Coordinate Plane: Review important ideas and skills from this lesson.
- Practice - Plotting Points in the Coordinate Plane: Submit your work for a set of practice problems.
- Quiz - Plotting Points in the Coordinate Plane: Take a quiz to assess your understanding of the material.
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17Lesson 2: Quadrants and Axes
- Study - Quadrants and Axes: Learn the four quadrants of a coordinate plane. Locate ordered pairs in quadrants and on axes.
- Checkup - Quadrants and Axes: Check your understanding of the lesson.
- Review - Quadrants and Axes: Review important ideas and skills from this lesson.
- Practice - Quadrants and Axes: Submit your work for a set of practice problems.
- Quiz - Quadrants and Axes: Take a quiz to assess your understanding of the material.
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18Lesson 3: Using Graphs to Solve Problems
- Study - Using Graphs to Solve Problems: Find vertical and horizontal distances between points on a coordinate plane. Plot points to draw geometric figures.
- Checkup - Using Graphs to Solve Problems: Check your understanding of the lesson.
- Review - Using Graphs to Solve Problems: Review important ideas and skills from this lesson.
- Practice - Using Graphs to Solve Problems: Submit your work for a set of practice problems.
- Quiz - Using Graphs to Solve Problems: Take a quiz to assess your understanding of the material.
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19Lesson 4: Wrap-Up: The Coordinate Plane
- Review - The Coordinate Plane: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - The Coordinate Plane: Take a computer-scored test to assess what you have learned in this unit.
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20Lesson 1: Exponents
- Study - Exponents: Learn the definitions of exponents and bases. Write exponential expressions and use them to represent real-world situations involving repeated multiplication.
- Checkup - Exponents: Check your understanding of the lesson.
- Review - Exponents: Review important ideas and skills from this lesson.
- Practice - Exponents: Submit your work for a set of practice problems.
- Quiz - Exponents: Take a quiz to assess your understanding of the material.
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21Lesson 2: Writing Expressions
- Study - Writing Expressions: Write mathematical expressions to describe quantities.
- Checkup - Writing Expressions: Check your understanding of the lesson.
- Review - Writing Expressions: Review important ideas and skills from this lesson.
- Practice - Writing Expressions: Submit your work for a set of practice problems.
- Quiz - Writing Expressions: Take a quiz to assess your understanding of the material.
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22Lesson 3: Understanding Parts of Expressions
- Study - Understanding Parts of Expressions: Learn the definitions of terms such as factor and coefficient. Use these terms and other mathematical language to describe and interpret parts of expressions.
- Checkup - Understanding Parts of Expressions: Check your understanding of the lesson.
- Review - Understanding Parts of Expressions: Review important ideas and skills from this lesson.
- Practice - Understanding Parts of Expressions: Submit your work for a set of practice problems.
- Quiz - Understanding Parts of Expressions: Take a quiz to assess your understanding of the material.
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23Lesson 4: Evaluating Expressions
- Study - Evaluating Expressions: Use the order of operations to evaluate expressions. Evaluate expressions by substituting given values for variables.
- Checkup - Evaluating Expressions: Check your understanding of the lesson.
- Review - Evaluating Expressions: Review important ideas and skills from this lesson.
- Practice - Evaluating Expressions: Submit your work for a set of practice problems.
- Quiz - Evaluating Expressions: Take a quiz to assess your understanding of the material.
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24Lesson 5: Equivalent Expressions
- Study - Equivalent Expressions: Understand what it means for two expressions to be equivalent. Use mathematical properties to write and identify equivalent expressions.
- Checkup - Equivalent Expressions: Check your understanding of the lesson.
- Review - Equivalent Expressions: Review important ideas and skills from this lesson.
- Practice - Equivalent Expressions: Submit your work for a set of practice problems.
- Quiz - Equivalent Expressions: Take a quiz to assess your understanding of the material.
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25Lesson 6: Wrap-Up: Numerical and Algebraic Expressions
- Review - Numerical and Algebraic Expressions: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Numerical and Algebraic Expressions: Take a computer-scored test to assess what you have learned in this unit.
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27Lesson 1: Solutions of Equations and Inequalities
- Study - Solutions of Equations and Inequalities: Learn that the solution to a mathematical sentence is a value that makes the sentence true. Use substitution to test for solutions to equations and inequalities.
- Checkup - Solutions of Equations and Inequalities: Check your understanding of the lesson.
- Review - Solutions of Equations and Inequalities: Review important ideas and skills from this lesson.
- Practice - Solutions of Equations and Inequalities: Submit your work for a set of practice problems.
- Quiz - Solutions of Equations and Inequalities: Take a quiz to assess your understanding of the material.
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28Lesson 2: Writing Expressions to Solve Problems
- Study - Writing Expressions to Solve Problems: Use variables to represent unknown quantities. Write expressions with variables to model mathematical and real-world statements.
- Checkup - Writing Expressions to Solve Problems: Check your understanding of the lesson.
- Review - Writing Expressions to Solve Problems: Review important ideas and skills from this lesson.
- Practice - Writing Expressions to Solve Problems: Submit your work for a set of practice problems.
- Quiz - Writing Expressions to Solve Problems: Take a quiz to assess your understanding of the material.
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29Lesson 3: Solving Addition Equations
- Study - Solving Addition Equations: Solve one-step addition (and subtraction) equations by using inverse operations.
- Checkup - Solving Addition Equations: Check your understanding of the lesson.
- Review - Solving Addition Equations: Review important ideas and skills from this lesson.
- Practice - Solving Addition Equations: Submit your work for a set of practice problems.
- Quiz - Solving Addition Equations: Take a quiz to assess your understanding of the material.
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30Lesson 4: Solving Multiplication Equations
- Study - Solving Multiplication Equations: Solve one-step multiplication (and division) equations by using inverse operations.
- Checkup - Solving Multiplication Equations: Check your understanding of the lesson.
- Review - Solving Multiplication Equations: Review important ideas and skills from this lesson.
- Practice - Solving Multiplication Equations: Submit your work for a set of practice problems.
- Quiz - Solving Multiplication Equations: Take a quiz to assess your understanding of the material.
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31Lesson 5: Wrap-Up: Equations and Inequalities, Part 1
- Review - Equations and Inequalities, Part 1: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Equations and Inequalities, Part 1: Take a computer-scored test to assess what you have learned in this unit.
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32Lesson 1: Solving Inequalities
- Study - Solving Inequalities: Use your equation-solving strategies to solve inequalities. Write inequalities to represent problem situations.
- Checkup - Solving Inequalities: Check your understanding of the lesson.
- Review - Solving Inequalities: Review important ideas and skills from this lesson.
- Practice - Solving Inequalities: Submit your work for a set of practice problems.
- Quiz - Solving Inequalities: Take a quiz to assess your understanding of the material.
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33Lesson 2: Independent and Dependent Variables
- Study - Independent and Dependent Variables: Learn the definitions of independent and dependent variables. Understand how to identify which variable is independent and which is dependent for a given situation.
- Checkup - Independent and Dependent Variables: Check your understanding of the lesson.
- Review - Independent and Dependent Variables: Review important ideas and skills from this lesson.
- Practice - Independent and Dependent Variables: Submit your work for a set of practice problems.
- Quiz - Independent and Dependent Variables: Take a quiz to assess your understanding of the material.
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34Lesson 3: Multiple Representations: Tables, Graphs, And Equations
- Study - Multiple Representations: Tables, Graphs, and Equations: Understand that tables, graphs, and equations are different ways to show how variables are related. Learn strengths and weaknesses of each representation, and see how to use one representation to create others.
- Checkup - Multiple Representations: Tables, Graphs, and Equations: Check your understanding of the lesson.
- Review - Multiple Representations: Tables, Graphs, and Equations: Review important ideas and skills from this lesson.
- Practice - Multiple Representations: Tables, Graphs, and Equations: Submit your work for a set of practice problems.
- Quiz - Multiple Representations: Tables, Graphs, and Equations: Take a quiz to assess your understanding of the material.
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35Lesson 4: Wrap-Up: Equations and Inequalities, Part 2
- Review - Equations and Inequalities, Part 2: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Equations and Inequalities, Part 2: Take a computer-scored test to assess what you have learned in this unit.
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36Lesson 1: Area
- Study - Area: Find areas of triangles and irregular polygons. Use area to solve real-world problems.
- Checkup - Area: Check your understanding of the lesson.
- Review - Area: Review important ideas and skills from this lesson.
- Practice - Area: Submit your work for a set of practice problems.
- Quiz - Area: Take a quiz to assess your understanding of the material.
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37Lesson 2: Volume
- Study - Volume: Find volumes of rectangular prisms to solve real-world and mathematical problems.
- Checkup - Volume: Check your understanding of the lesson.
- Review - Volume: Review important ideas and skills from this lesson.
- Practice - Volume: Submit your work for a set of practice problems.
- Quiz - Volume: Take a quiz to assess your understanding of the material.
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38Lesson 3: Coordinate Geometry
- Study - Coordinate Geometry: Draw geometric figures on a coordinate plane by plotting and joining vertices. Find lengths of horizontal or vertical sides by subtracting coordinates.
- Checkup - Coordinate Geometry: Check your understanding of the lesson.
- Review - Coordinate Geometry: Review important ideas and skills from this lesson.
- Practice - Coordinate Geometry: Submit your work for a set of practice problems.
- Quiz - Coordinate Geometry: Take a quiz to assess your understanding of the material.
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39Lesson 4: Solid Figures
- Study - Solid Figures: Use nets to show the surfaces of solid figures. Identify a solid figure from its net. Find surface areas by using nets.
- Checkup - Solid Figures: Check your understanding of the lesson.
- Review - Solid Figures: Review important ideas and skills from this lesson.
- Practice - Solid Figures: Submit your work for a set of practice problems.
- Quiz - Solid Figures: Take a quiz to assess your understanding of the material.
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40Lesson 5: Wrap-Up: Geometry
- Review - Geometry: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Geometry: Take a computer-scored test to assess what you have learned in this unit.
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41Lesson 1: Statistical Questions and Data Distributions
- Study - Statistical Questions and Data Distributions: Learn how to identify statistical questions. Using dot plots, describe data sets by their center, spread, and shape.
- Checkup - Statistical Questions and Data Distributions: Check your understanding of the lesson.
- Review - Statistical Questions and Data Distributions: Review important ideas and skills from this lesson.
- Practice - Statistical Questions and Data Distributions: Submit your work for a set of practice problems.
- Quiz - Statistical Questions and Data Distributions: Take a quiz to assess your understanding of the material.
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42Lesson 2: Measures of Center and Variability
- Study - Measures of Center and Variability: Learn the definitions of the mean and range of a data set. Find means and ranges.
- Checkup - Measures of Center and Variability: Check your understanding of the lesson.
- Review - Measures of Center and Variability: Review important ideas and skills from this lesson.
- Practice - Measures of Center and Variability: Submit your work for a set of practice problems.
- Quiz - Measures of Center and Variability: Take a quiz to assess your understanding of the material.
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43Lesson 3: Box Plots
- Study - Box Plots: Find medians, quartiles, and extreme values for data sets. Use these key values to make box plots.
- Checkup - Box Plots: Check your understanding of the lesson.
- Review - Box Plots: Review important ideas and skills from this lesson.
- Practice - Box Plots: Submit your work for a set of practice problems.
- Quiz - Box Plots: Take a quiz to assess your understanding of the material.
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44Lesson 4: Dot Plots and Histograms
- Study - Dot Plots and Histograms: Make dot plots and histograms of data sets. Decide which data display to use in a given situation.
- Checkup - Dot Plots and Histograms: Check your understanding of the lesson.
- Review - Dot Plots and Histograms: Review important ideas and skills from this lesson.
- Practice - Dot Plots and Histograms: Submit your work for a set of practice problems.
- Quiz - Dot Plots and Histograms: Take a quiz to assess your understanding of the material.
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45Lesson 5: Wrap-Up: Introduction to Statistics
- Review - Introduction to Statistics: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Introduction to Statistics: Take a computer-scored test to assess what you have learned in this unit.
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46Lesson 1: Collecting Data
- Study - Collecting Data: Learn how to collect and summarize statistical data. Understand the importance of the number of observations and the units chosen for the usefulness of the data.
- Checkup - Collecting Data: Check your understanding of the lesson.
- Review - Collecting Data: Review important ideas and skills from this lesson.
- Practice - Collecting Data: Submit your work for a set of practice problems.
- Quiz - Collecting Data: Take a quiz to assess your understanding of the material.
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47Lesson 2: Summarizing Data Using Measures of Center and Variability
- Study - Summarizing Data Using Measures of Center and Variability: Understand mean, median, interquartile range, and mean absolute deviation as measures of center and variability, and use them to describe data sets. Identify patterns in data.
- Checkup - Summarizing Data Using Measures of Center and Variability: Check your understanding of the lesson.
- Review - Summarizing Data Using Measures of Center and Variability: Review important ideas and skills from this lesson.
- Practice - Summarizing Data Using Measures of Center and Variability: Submit your work for a set of practice problems.
- Quiz - Summarizing Data Using Measures of Center and Variability: Take a quiz to assess your understanding of the material.
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48Lesson 3: Choosing Appropriate Measures to Summarize Data Sets
- Study - Choosing Appropriate Measures to Summarize Data Sets: Understand how extreme data values impact the measures of center and spread, and how to choose the measures to use when describing a data set.
- Checkup - Choosing Appropriate Measures to Summarize Data Sets: Check your understanding of the lesson.
- Review - Choosing Appropriate Measures to Summarize Data Sets: Review important ideas and skills from this lesson.
- Practice - Choosing Appropriate Measures to Summarize Data Sets: Submit your work for a set of practice problems.
- Quiz - Choosing Appropriate Measures to Summarize Data Sets: Take a quiz to assess your understanding of the material.
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49Lesson 4: Wrap-Up: Summarizing Data
- Review - Summarizing Data: Prepare for the unit test by reviewing key concepts and skills.
- Test (CS) - Summarizing Data: Take a computer-scored test to assess what you have learned in this unit.