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6th Grade Math

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Overview

Outcomes

Content

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Upon successful completion of this course, students will have mastered the following:

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1.
Ratios & Proportional Relationships
28 topics
1.1. Ratios
1.1.1. Introduction to Ratios
1.1.2. Equivalent Ratios
1.1.3. Writing Ratios Using Fractions
1.1.4. Comparing Ratios
1.1.5. Approximating Ratios
1.1.6. Reasoning With Equivalent Ratios
1.1.7. Further Reasoning With Equivalent Ratios
1.2. Representing Ratios
1.2.1. Ratio Tables
1.2.2. Graphing Ratios
1.2.3. Tape Diagrams
1.3. Unit Rates
1.3.1. Unit Rates
1.3.2. Solving Problems Using Unit Rates
1.3.3. Speed as a Unit Rate
1.4. Introduction to Percentages
1.4.1. Understanding Percentages Using Models
1.4.2. Converting Between Percentages and Fractions
1.4.3. Converting Between Percentages and Decimals
1.4.4. Comparing Fractions, Percents, and Decimals
1.5. Solving Problems With Percentages
1.5.1. Finding a Percentage Given Two Numbers
1.5.2. Finding Part of a Number Given a Whole and a Percentage
1.5.3. Finding a Total Given a Part and a Percentage
1.5.4. Finding a Percentage Given Two Numbers: Word Problems
1.5.5. Finding Part of a Number Given a Whole and a Percentage: Word Problems
1.6. Unit Conversions
1.6.1. Converting Metric Units of Length to Larger Units
1.6.2. Converting Customary Units of Length to Larger Units
1.6.3. Converting Units of Volume to Larger Units
1.6.4. Converting Units of Mass to Larger Units
1.6.5. Converting Units of Time to Larger Units
1.6.6. Converting Units to Larger Units Using Long Division
2.
The Number System
57 topics
2.7. Dividing Fractions and Whole Numbers
2.7.1. Dividing Whole Numbers by Fractions Using Models: Whole Number Results
2.7.2. Dividing Whole Numbers by Fractions Using Models: Fractional Results
2.7.3. Dividing Fractions by Whole Numbers Using Models
2.7.4. Dividing Whole Numbers by Fractions
2.7.5. Dividing Fractions by Whole Numbers
2.7.6. Dividing Fractions and Whole Numbers: Word Problems
2.8. Dividing Fractions
2.8.1. Reciprocals
2.8.2. Dividing Fractions Using Models
2.8.3. Dividing Fractions
2.8.4. Dividing Fractions: Word Problems
2.8.5. Finding Side Lengths Using Fraction Division
2.9. Dividing Mixed Numbers
2.9.1. Dividing Mixed Numbers by Whole Numbers
2.9.2. Dividing Whole Numbers by Mixed Numbers
2.9.3. Dividing Fractions by Mixed Numbers
2.9.4. Dividing Mixed Numbers by Fractions
2.9.5. Dividing Mixed Numbers
2.9.6. Dividing Mixed Numbers: Word Problems
2.10. Dividing Whole Numbers by One-Digit Numbers
2.10.1. Two-Digit by One-Digit Division
2.10.2. Three-Digit by One-Digit Division
2.10.3. Four-Digit by One-Digit Division
2.10.4. Using Fractions to Represent Division of Whole Numbers
2.10.5. Dividing Numbers by One-Digit Numbers With Rounding
2.10.6. Dividing Numbers by One-Digit Numbers: Interpreting the Remainder
2.11. Dividing Whole Numbers by Two-Digit Numbers
2.11.1. Three-Digit by Two-Digit Division
2.11.2. Four-Digit by Two-Digit Division
2.11.3. Dividing by Two-Digit Numbers by Connecting Multiplication and Division
2.11.4. Dividing by Two-Digit Numbers With Remainders by Connecting Multiplication and Division
2.11.5. Estimating Multi-Digit Division
2.12. Decimal Addition
2.12.1. Adding Decimals
2.12.2. Subtracting Decimals
2.12.3. Addition With Unequal Numbers of Decimals
2.12.4. Subtraction With Unequal Numbers of Decimals
2.13. Decimal Multiplication
2.13.1. Multiplying a Decimal by a Multi-Digit Whole Number
2.13.2. Multiplying Two-Digit Decimals
2.13.3. Multiplying Two-Digit Decimals by Three-Digit Decimals
2.13.4. Multiplying Three-Digit Decimals
2.14. Decimal Division
2.14.1. Division of Whole Numbers With Decimal Quotients
2.14.2. Division of Whole Numbers With Decimal Quotients and Rounding
2.14.3. Dividing Decimals Using Place Value Strategies
2.14.4. Dividing Decimals Using the Standard Algorithm
2.14.5. Dividing Three-Digit Decimals by Two-Digit Decimals
2.14.6. Dividing Four-Digit and Five-Digit Decimals
2.14.7. Estimating Decimal Division
2.14.8. Estimating Multi-Digit Division With Decimals
2.15. Negative Numbers
2.15.1. Negative Numbers
2.15.2. Absolute Value
2.15.3. Comparing Negative Numbers
2.15.4. Interpreting Negative Numbers
2.15.5. Interpreting Absolute Value
2.16. Rational Numbers
2.16.1. Natural Numbers, Integers, and Rational Numbers
2.16.2. Identifying Rational Numbers on a Number Line
2.16.3. Comparing Rational Numbers
2.16.4. Ordering Rational Numbers
2.17. The Coordinate Plane
2.17.1. The Cartesian Coordinate System
2.17.2. Rational Numbers in the Coordinate Plane
2.17.3. Reflections of Points in the Coordinate Plane
2.17.4. Solving Problems in the Coordinate Plane
3.
Expressions & Equations
34 topics
3.18. Exponents
3.18.1. Introduction to Exponents
3.18.2. Evaluating Exponents
3.18.3. Evaluating Larger Exponents
3.18.4. Evaluating Exponents With Fractional Bases
3.18.5. Evaluating Exponents With Decimal Bases
3.18.6. Comparing Exponents
3.18.7. Evaluating Whole Number Expressions Containing Exponents
3.19. Algebraic Expressions
3.19.1. Introduction to Algebraic Expressions
3.19.2. Constructing Algebraic Expressions
3.19.3. Evaluating Linear Expressions
3.19.4. Evaluating Algebraic Expressions
3.19.5. Identifying Terms in Linear Expressions
3.19.6. Identifying Coefficients and Constants
3.19.7. Identifying Like Terms in Linear Expressions
3.19.8. The Greatest Common Factor of Two Linear Expressions
3.20. Equivalent Expressions
3.20.1. Simplifying Linear Expressions
3.20.2. Applying the Distributive Law to Linear Expressions
3.20.3. Factoring Linear Expressions
3.20.4. Identifying Equivalent Expressions
3.21. Linear Equations
3.21.1. Identifying Solutions to Linear Equations
3.21.2. One-Step Addition Equations
3.21.3. One-Step Subtraction Equations
3.21.4. One-Step Multiplication Equations
3.21.5. One-Step Multiplication Equations Containing Fractions
3.21.6. One-Step Division Equations
3.21.7. Modeling Real-World Problems Using One-Step Equations
3.21.8. Solving Real-World Problems Using One-Step Equations
3.22. Linear Inequalities
3.22.1. Identifying Solutions to Linear Inequalities
3.22.2. Representing Inequalities on Number Lines
3.22.3. Modeling Real-World Problems Using Inequalities
3.23. Two-Variable Equations
3.23.1. Introduction to Two-Variable Equations
3.23.2. Two-Variable Equations: Solving for the Independent Variable
3.23.3. Analyzing Two-Variable Equations Using Tables
3.23.4. Analyzing Two-Variable Equations Using Graphs
4.
Geometry
21 topics
4.24. Two-Dimensional Geometry
4.24.1. Units of Area and Volume
4.24.2. Classifying Figures Based on Angles
4.24.3. Areas of Rectangles
4.24.4. Areas of Right Triangles
4.24.5. Areas of Triangles
4.24.6. Areas of Parallelograms
4.24.7. Finding Areas of Polygons Using Decomposition
4.24.8. Areas Between Shapes
4.24.9. Perimeters of Shapes
4.24.10. Lines of Symmetry
4.25. Three-Dimensional Geometry
4.25.1. Identifying Three-Dimensional Shapes
4.25.2. Faces, Vertices, and Edges of Polyhedrons
4.25.3. Nets of Polyhedrons
4.25.4. Finding Surface Areas Using Nets
4.25.5. Volumes of Right Rectangular Prisms
4.25.6. Volumes of Right Rectangular Prisms: Word Problems
4.25.7. Rectangular Prisms With Fractional Edge Lengths
4.25.8. Rectangular Prisms With Fractional Edge Lengths: Word Problems
4.26. Coordinate Geometry
4.26.1. Distances Between Points in the Coordinate Plane
4.26.2. Polygons in the Coordinate Plane
4.26.3. Finding Areas and Perimeters in the Coordinate Plane
5.
Statistics & Probability
18 topics
5.27. Summarizing Data
5.27.1. Introduction to Statistics
5.27.2. The Mean of a Data Set
5.27.3. The Median of a Data Set
5.27.4. The Mode of a Data Set
5.27.5. Range, Quartiles, and IQR
5.27.6. Mean Absolute Deviation
5.27.7. Outliers
5.27.8. Removing Outliers
5.27.9. Comparing Measures of Center
5.27.10. Comparing Measures of Spread
5.28. Representing Data
5.28.1. Frequency Tables
5.28.2. Dot Plots
5.28.3. Box Plots
5.28.4. Histograms
5.28.5. Measuring Centrality From Dot Plots
5.28.6. Measuring Range and MAD From Dot Plots
5.28.7. Measuring Quartiles and IQR From Dot Plots
5.28.8. Symmetry, Skew, and Outliers