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6th Grade Math

Overview

Outcomes

Content

Upon successful completion of this course, students will have mastered the following:
1.
Ratios & Proportional Relationships
41 topics
1.1. Dividing Whole Numbers
1.1.1. Estimating Multi-Digit Division
1.1.2. Three-Digit by Two-Digit Division Using the Standard Algorithm
1.1.3. Four-Digit by Two-Digit Division Using the Standard Algorithm
1.2. Dividing Fractions
1.2.1. Reciprocals
1.2.2. Dividing Whole Numbers by Fractions Using Models
1.2.3. Dividing Whole Numbers by Fractions
1.2.4. Dividing Fractions by Whole Numbers Using Models
1.2.5. Dividing Fractions by Whole Numbers
1.2.6. Dividing Fractions and Whole Numbers: Word Problems
1.2.7. Dividing Fractions Using Models
1.2.8. Dividing Fractions
1.2.9. Dividing Mixed Numbers by Whole Numbers
1.2.10. Dividing Whole Numbers by Mixed Numbers
1.2.11. Dividing Fractions by Mixed Numbers
1.2.12. Dividing Mixed Numbers by Fractions
1.2.13. Dividing Mixed Numbers
1.2.14. Dividing Fractions: Word Problems
1.3. Dividing Decimals
1.3.1. Estimating Multi-Digit Division With Decimals
1.3.2. Dividing Three-Digit Decimals by Two-Digit Decimals
1.3.3. Dividing Four-Digit and Five-Digit Decimals
1.4. Ratios
1.4.1. Introduction to Ratios
1.4.2. Equivalent Ratios
1.4.3. Writing Ratios Using Fractions
1.4.4. Comparing Ratios
1.4.5. Ratio Tables
1.4.6. Working With Equivalent Ratios
1.4.7. More on Equivalent Ratios
1.4.8. Approximating Ratios
1.4.9. Graphing Ratios
1.4.10. Tape Diagrams
1.4.11. Unit Rates
1.4.12. Solving Problems Using Unit Rates
1.5. Percentages
1.5.1. Understanding Percentages Using Models
1.5.2. Converting Between Percentages and Fractions
1.5.3. Converting Between Percentages and Decimals
1.5.4. Comparing Fractions, Percents, and Decimals
1.5.5. Finding Part of a Number Given a Whole and a Percentage
1.5.6. Finding Part of a Number Given a Whole and a Percentage: Word Problems
1.5.7. Finding a Percentage Given Two Numbers
1.5.8. Finding a Percentage Given Two Numbers: Word Problems
1.5.9. Finding a Total Given a Part and a Percentage
2.
The Number System
11 topics
2.6. Properties of Numbers
2.6.1. Greatest Common Factors
2.6.2. More on Greatest Common Factors
2.6.3. Factoring Numerical Expressions
2.7. Negative Numbers
2.7.1. Representing Negative Numbers on a Number Line
2.7.2. Comparing Negative Numbers
2.7.3. Absolute Value
2.7.4. Interpreting Negative Numbers
2.7.5. Negative Numbers in the Coordinate Plane
2.7.6. Reflections of Points in the Coordinate Plane
2.7.7. Solving Problems in the Coordinate Plane
2.7.8. Ordering Rational Numbers
3.
Expressions & Equations
25 topics
3.8. Algebraic Expressions
3.8.1. Introduction to Algebraic Expressions
3.8.2. Constructing Algebraic Expressions
3.8.3. Evaluating Linear Expressions
3.8.4. Identifying Terms in Linear Expressions
3.8.5. Identifying Coefficients and Constants in Linear Expressions
3.8.6. Identifying Like Terms in a Linear Expression
3.8.7. Collecting Like Terms in a Linear Expression
3.8.8. Applying the Distributive Law With Linear Expressions
3.8.9. The Distributive Law With Three Terms
3.8.10. Distributing the Negative Sign in a Linear Expression
3.8.11. Simplifying Linear Expressions Using the Distributive Law
3.8.12. Simplifying Linear Expressions When a Group of Terms Is Subtracted
3.8.13. The Greatest Common Factor of Two Linear Expressions
3.8.14. Factoring Linear Expressions
3.9. Linear Equations
3.9.1. Solving Linear Equations by Trial and Error
3.9.2. Solving One-Step Addition and Subtraction Equations
3.9.3. Solving One-Step Multiplication and Division Equations
3.9.4. Solving Two-Step Equations
3.10. Two-Variable Equations
3.10.1. Introduction to Two-Variable Equations
3.10.2. Two-Variable Equations: Solving for the Independent Variable
3.10.3. Analyzing Two-Variable Equations Using Tables
3.10.4. Analyzing Two-Variable Equations Using Graphs
3.11. Inequalities
3.11.1. Solving Inequalities by Trial and Error
3.11.2. Representing Inequalities on Number Lines
3.11.3. Creating Inequalities to Represent a Context
4.
Geometry
13 topics
4.12. Two-Dimensional Geometry
4.12.1. Areas of Parallelograms
4.12.2. Areas of Triangles
4.12.3. Areas of Polygons
4.12.4. Areas Between Shapes
4.13. Coordinate Geometry
4.13.1. The Distance Between Two Points in the Coordinate Plane
4.13.2. Polygons in the Coordinate Plane
4.13.3. Finding Areas and Perimeters in the Coordinate Plane
4.14. Three-Dimensional Geometry
4.14.1. Identifying Polyhedrons
4.14.2. Properties of Polyhedrons
4.14.3. Nets of Polyhedrons
4.14.4. Finding Surface Areas Using Nets
4.14.5. Volumes of Rectangular Prisms
4.14.6. Finding Area and Volume Using Formulas
5.
Statistics & Probability
20 topics
5.15. Summarizing Data
5.15.1. Introduction to Statistics
5.15.2. The Mean of a Data Set
5.15.3. The Median of a Data Set
5.15.4. The Mode of a Data Set
5.15.5. Range, Quartiles and Interquartile Range
5.15.6. Mean Absolute Deviation
5.15.7. Comparing Data Sets Using Measures of Centrality
5.15.8. Comparing Data Sets Using Measures of Spread
5.15.9. Outliers
5.15.10. Removing Outliers
5.16. Representing Data
5.16.1. Frequency Tables
5.16.2. Dot Plots
5.16.3. Measuring Centrality Using Dot Plots
5.16.4. Measuring Range and MAD From Dot Plots
5.16.5. Measuring Quartiles and IQR From Dot Plots
5.16.6. Interpreting Shapes of Distributions Using Dot Plots
5.16.7. Box Plots
5.16.8. Histograms
5.16.9. Comparing Measures of Center
5.16.10. Comparing Measures of Spread