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7th Grade Math

Overview

Outcomes

Content

Upon successful completion of this course, students will have mastered the following:
1.
Ratios & Proportional Relationships
14 topics
1.1. Ratios
1.1.1. Calculating Unit Rates Associated With Ratios of Fractions
1.1.2. Calculating Unit Rates Associated With Ratios of Mixed Numbers
1.1.3. Solving Unit Rate Problems Using Ratios of Fractions
1.1.4. Solving Problems Using Ratios of Mixed Numbers
1.1.5. Understanding Proportional Relationships Using Graphs
1.1.6. Comparing Proportional Relationships
1.1.7. Understanding Proportional Relationships Using Tables
1.1.8. Understanding Proportional Relationships From Descriptions
1.1.9. Working With Unit Prices
1.1.10. Solving Multi-Step Unit Price Problems
1.2. Percents
1.2.1. Percents in Commerce and Finance
1.2.2. Percentage Increase, Decrease, and Error
1.2.3. Further Percents in Commerce and Finance
1.2.4. Calculating Simple Interest
2.
The Number System
23 topics
2.3. Addition and Subtraction of Rational Numbers
2.3.1. Subtracting a Positive Number From a Smaller Positive Number
2.3.2. Subtracting a Positive Number From a Negative Number
2.3.3. Subtracting a Positive Fraction From a Smaller Fraction
2.3.4. Subtracting a Positive Decimal From a Smaller Decimal
2.3.5. Adding a Positive Number to a Negative Number
2.3.6. Adding a Negative Number
2.3.7. Subtracting a Negative Number
2.3.8. Additive Inverses of Numbers
2.3.9. Solving Problems Using Addition and Subtraction of Rational Numbers
2.4. Multiplication and Division of Rational Numbers
2.4.1. Multiplying Positive Numbers With Negative Numbers
2.4.2. Multiplying Negative Numbers
2.4.3. Dividing With Negative Numbers
2.4.4. Equivalent Fractions With Negative Numbers
2.4.5. Dividing With Negative Decimals and Fractions
2.4.6. Reciprocals of Rational Numbers
2.4.7. Multiplying and Dividing With Zero
2.4.8. Fractions of Fractions
2.4.9. Evaluating Rational Number Expressions Without Exponents
2.4.10. Solving Problems Using the Four Operations on Rational Numbers
2.5. Exponents
2.5.1. Squaring Rational Numbers
2.5.2. Cubing Rational Numbers
2.5.3. Exponents With Rational Bases
2.5.4. Evaluating Rational Number Expressions With Positive Integer Exponents
3.
Expressions & Equations
20 topics
3.7. Rational Expressions
3.7.1. Evaluating Rational Expressions
3.7.2. Equivalent Expressions With Fractions
3.7.3. Simplifying Linear Expressions Containing Fractions
3.7.4. Simplifying Rational Expressions
3.7.5. Simplifying Rational Expressions by Factoring
3.8. Linear Equations
3.8.1. Solving Linear Equations With Fractional Coefficients
3.8.2. Solving Linear Equations With Decimal Coefficients
3.8.3. Solving Linear Equations With Variables on Both Sides
3.8.4. Solving Linear Equations by Clearing a Rational Expression
3.8.5. Solving Linear Equations Using Cross-Multiplication
3.8.6. Equations With Many Solutions and No Solutions
3.8.7. Solving Two-Variable Equations
3.8.8. Solving Linear Equations With Unknown Coefficients
3.8.9. Solving Linear Equations With Unknown Coefficients by Factoring
3.8.10. Solving Many-Variable Equations
3.9. Modeling With Linear Equations and Inequalities
3.9.1. Interpreting Linear Expressions
3.9.2. Modeling With Linear Equations
3.9.3. Solving Geometrical Problems Using Linear Equations
3.10. Linear Inequalities
3.10.1. Solving Linear Inequalities
3.10.2. Modeling With Linear Inequalities
4.
Geometry
23 topics
4.11. Ratios in Geometry
4.11.1. Scale Drawings
4.11.2. Calculating Lengths From Scale Drawings
4.11.3. Calculating Areas From Scale Drawings
4.11.4. Similar Polygons
4.12. Angles
4.12.1. Vertical Angles
4.12.2. Supplementary Angles
4.12.3. Complementary Angles
4.12.4. Solving Multi-Step Problems With Angles
4.13. Circles
4.13.1. Introduction to Circles
4.13.2. The Circumference of a Circle
4.13.3. Areas of Circles
4.13.4. Areas and Circumferences of Circular Sectors
4.13.5. Composite Shapes With Circles
4.13.6. Circles: Word Problems
4.14. Solid Geometry
4.14.1. Cross-Sections of Three-Dimensional Shapes
4.14.2. Volumes of Cubes and Prisms
4.14.3. Volumes of Cylinders
4.14.4. Volumes of Pyramids
4.14.5. Volumes of Composite Shapes
4.14.6. Surface Areas of Cubes and Prisms
4.14.7. Surface Areas of Cylinders
4.14.8. Surface Areas of Pyramids
4.14.9. Surface Areas of Composite Shapes
5.
Statistics & Probability
25 topics
5.15. Statistics
5.15.1. Samples vs. Populations
5.15.2. Representative, Random, and Biased Samples
5.15.3. Inferring Information About a Population Using Information Given in Context
5.15.4. Inferring Information About a Population Using Dot Plots
5.15.5. Inferring Information About a Population Using Frequency Tables
5.15.6. Inferring Information About a Population Using Boxplots
5.15.7. Inferring Information About a Population Using Histograms
5.15.8. Comparing Populations Using Sample Centrality Measures
5.15.9. Comparing Populations Using Sample Variation Measures
5.16. Introduction to Probability
5.16.1. Probability of Single Events
5.16.2. Probability of Opposite Events
5.16.3. Experimental Probability
5.16.4. Making Decisions Using Probability
5.16.5. Finding Probabilities Using Geometry
5.16.6. Designing Experiments to Determine Probabilities
5.17. Compound Events in Probability
5.17.1. Experimental Probability for Compound Events
5.17.2. Dependent and Independent Events
5.17.3. The Multiplication Law for Independent Events
5.17.4. Calculating Probabilities of Compound Events Using Information Given in Context
5.17.5. Calculating Probabilities of Compound Events Using Tables
5.17.6. Calculating Probabilities of Compound Events Using Tree Diagrams
5.18. Permutations and Combinations
5.18.1. Finding Probabilities Using the Counting Principle
5.18.2. Ordering Objects Using Factorials
5.18.3. Permutations
5.18.4. Combinations