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Basic Number Systems and Operations Within Them
- Natural, Whole, and Prime Numbers
- Greatest Common Factor and Least Common Multiple
- Ratio and Rate
- Integer Numbers
- Add and Subtract Integers
- Multiply and Divide Integers
- The Coordinate Plane
- Ratio Tables and Graphs
Comparing and Converting Between Rational Number Types
- Fractions
- Mixed and Decimal Numbers
- Percents
- Compare and Order Fractions, Decimals, and Percents
- Estimation and Percent of a Number
Operations with Rational Numbers
- Add and Subtract Fractions
- Multiply Fractions
- Divide Fractions
- Add, Subtract, and Multiply Decimals
- Divide Decimals
- Terminating and Repeating Decimals
- Convert Measurement Units
Properties of Numeric and Algebraic Expressions
- Powers
- Numerical Expressions
- Algebraic Expressions
- Algebraic Properties
- Simplify Algebraic Expressions
- Add and Subtract Linear Expressions
- Factor Linear Expressions
- Multiply and Divide Monomials
- Powers of Monomials
Real Numbers and Basic Equations
- Scientific Notation
- Roots
- Real Numbers
- Equations
- Proportional and Non-proportional Relationships
- The Percent Proportion and Equation, and Percent of Change
- Financial Literacy
Writing and Solving Equations and Inequalities
- Writing and Solving One-Step Addition and Subtraction Equations
- Solving One-Step Equations with Rational Coefficients
- Writing and Solving Two-Step Equations
- Writing and Solving Multi-Step Equations
- Writing and Graphing Inequalities
- Solving Inequalities
Lines on the Coordinate Plane
- Constant Rate of Change and Slope
- Slope-Intercept Form of a Line
- Standard Form of a Line
- Point-Slope Form of a Line
- Solving System of Equations Graphically
- Solving System of Equations Algebraically
Introduction to Relations and Functions
Geometry in Two Dimensions
- Angles
- Angles and Transversals
- Geometric Proof
- Triangles
- Angles in Triangles
- Polygons and Angles
- The Pythagorean Theorem and the Distance Formula
- Circles
- Areas of Parallelograms, Triangles, and Trapezoids
- Areas of Composite Figures
- Scale Drawings
Geometry in Three Dimensions
- Three Dimensional Figures and Cross Sections
- Volume and Surface Area of Prisms
- Volume and Surface Area of Pyramids
- Volume and Surface Area of Cylinders, Cones, and Spheres
- Volume and Surface Area of Composite Solids
Transformations, Congruence, and Similarity
- Translations and Reflections
- Rotations and Dilations
- Congruence and Similarity
- Similar Triangles
- Changes in Dimensions
Introduction to Probability and Statistics
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