Becky Little

Advanced Math Topics

Unit 1

· Rational Numbers

· Powers and Exponents

· Multiply and Divide Monomials

· Powers of Monomials

· Negative Exponents

· Scientific Notation

· Compute with Scientific Notation

· Roots

· Compare Real Numbers

Unit 2

· Percent of a Number

· Percent Proportion

· Percent Equation

· Percent of Change

· Sales Tax, Tips and Markups

· Discount

· Simple Interest

Unit 3

· Solve Equations with Rational Coefficients

· Solve Two-Step Equations

· Write Two-Step Equations

· Solve Equations with variables on Each Side

· Solve Multi-Step Equations

Unit 4

· Constant Rate of Change

· Slope

· Equations in y = mx Form

· Slope-Intercept Form

· Graph a Line Using Intercepts

· Write Linear Equations

· Solve Systems of Equations by Graphing

· Solve Systems of Equations Algebraically

Unit 5

· Represent Relationships

· Relations

· Functions

· Linear Functions

· Compare Properties of Functions

· Construct Functions

· Linear and Nonlinear Functions

· Qualitative Graphs

Unit 6

· Lines

· Angles of Triangles

· The Pythagorean Theorem

· Distance Formula

Unit 7

· Translations

· Reflections

· Rotations

· Dilations

· Congruence vs Similarity

· Indirect Measurement

· Area and Perimeter of Similar Figures

Unit 8

· Circumference

· Area of Circles

· Area of Composite Figures

· Volume of Prisms and Cylinders

· Volume of Pyramids and Cones

· Surface Area of Prisms

· Surface Area of Pyramids

· Volume and Surface Area of Composite Figures

Unit 9

· Scatter Plots

· Lines of Best Fit

· Two-Way Tables

· Descriptive Statistics

· Measures of Variation

· Analyze Data Distribution

7th Grade Math Topics

Unit 1

· Integers and absolute value

· Adding and Subtracting Integers

· Multiplying and Dividing Integers

Unit 2

· Terminating and Repeating Decimals

· Compare and Order Rational Numbers

· Add and Subtract Like Fractions

· Add and Subtract Unlike Fractions

· Add and Subtract Mixed Numbers

· Multiply Fractions

· Divide Fractions

Unit 3

· Rates

· Complex Fractions and Unit Rates

· Convert Unit Rates

· Proportional and Nonproportional Relationships

· Graph Proportional Relationships

· Solve Proportional Relationships

· Constant Rate of Change

· Slope

· Direct Variation

Unit 4

· Percent of a Number

· Percent Proportion

· Percent Equation

· Percent of Change

· Sales Tax, Tips and Markups

· Discount

· Simple Interest

Unit 5

· Algebraic Expressions

· The Distributive Property

· Simplify Algebraic Expressions

· Add and Subtract Linear Expressions

· Factor Expressions

Unit 6

· Solve One-Step Equations

· Solve Equations with Rational Coefficients

· Solve Two-Step Equations

· Solve Inequalities by Addition or Subtractions

· Solve Inequalities by Multiplication or Division

· Solve Two-Step Inequalities

Unit 7

· Classify Angles

· Complementary and Supplementary Angles

· Triangles

· Scale Drawings

· 3-D Shapes and Cross Sections

Unit 8

· Circumference

· Area of Circles

· Area of Composite Figures

· Volume of Prisms

· Volume of Pyramids

· Surface Area of Prisms

· Surface Area of Pyramids

· Volume and Surface Area of Composite Figures

Unit 9

· Probability of Simple Events

· Theoretical and Experimental Probability

· Probability of Compound Events

· Simulations

· Fundamental Counting Principle

· Permutations

· Independent and Dependent Events

Unit 10

· Make Predictions

· Unbiased and Biased Samples

· Misleading Graphs and Statistics

· Compare Populations

· Select an Appropriate Display

Helpful Links

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Moby Max

Khan Academy

BrainPop