Table of Contents
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Calculation and Estimation
- Multiplying Integers
- Simplifying Fractions Using Common Factors
- Order of Operations: Evaluate Numerical Expressions
- Order of Operations: Negative Numbers
- Order of Operations: Decimals
- Order of Operations: Exponents
- Adding and Subtracting Decimals
- Multiplying Decimals
- Dividing Decimals: Decimal Quotients
- Approximating Radicals
- Rounding Multidigit Numbers with Decimals to Any Place Value
- Rounding to a Given Number of Significant Figures
- Factors and Multiples
- Powers and Roots
-
Algebraic Methods
- Simplifying Expressions: Commutative and Associative Properties
- Simplifying Expressions: Combining Like Terms
- Simplifying Expressions: Rules of Exponents
- Simplifying Monomials: Product Rule
- Simplifying Monomials: Multiplication
- Writing Algebraic Expressions
- Writing and Evaluating Algebraic Expressions
- Evaluating Algebraic Expressions
- Writing and Evaluating Formulas
- Function Rules
- Rewriting Expressions Using the Distributive Property
- The Greatest Common Factor of Monomials
- Factoring Using the Highest Common Factor
- Representing Data
- Fractions
- Fractions, Decimals, and Percentages
- Calculating Percentages
-
Equations, Inequalities, and Sequences
- Function Machines
- One-step Equations: Addition and Subtraction
- One-step Equations: Multiplication and Division
- Two-Step Equations
- Multistep Equations
- Linear Equations with Variables on Both Sides
- Linear Sequences
- Calculations with Arithmetic Sequences
- Inequalities on a Number Line
- One-step Inequalities: Addition or Subtraction
- One-step Inequalities: Multiplication or Division
- Multistep Inequalities
- Two-Step Linear Inequalities
- Compound Linear Inequalities
- Angles
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Interpreting Data
- The Mean of a Data Set
- The Median of a Data Set
- The Mode of a Data Set
- Range of a Data Set
- Mean, Median, and Mode
- Best Measure of Central Tendency
- Grouped Frequency Tables: Estimating the Mean
- Outliers of a Data Set
- Types of Variables
- Sampling Methods
- Simple Random Sample
- Biased versus Unbiased Samples
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Perimeter and Area
- Perimeter of Polygons
- Perimeter of a Composite Figure
- Areas of Rectangles and Squares
- Area of a Triangle
- Area of a Trapezoid
- Area of a Parallelogram
- Areas of Composite Polygons
- Areas of Composite Figures
- Converting and Comparing Area: Metric Units
- Circumference of a Circle
- Area of a Circle
- Arc Lengths and Sectors: Degrees
- Properties of 3D Shapes
- Volume
- Surface Area
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Coordinates and Linear Graphs
- Midpoint on the Coordinate Plane
- Equations of Vertical and Horizontal Lines
- Graphing Linear Functions
- Slope and Rate of Change
- Linear Relationships
- Slope of a Line from a Graph or a Table
- Slopes of Parallel and Perpendicular Lines
- Equations of Parallel and Perpendicular Lines
- Equation of a Straight Line: Slope–Intercept Form
- Linear Functions in Different Forms
- Slopes and Intercepts of Linear Functions
- Geometric Transformations
- Ratio and Proportion
-
Right-Angled Triangles
- The Pythagorean Theorem
- Applications on the Pythagorean Theorem
- Distance on the Coordinate Plane: Pythagorean Formula
- The Sine Ratio
- The Cosine Ratio
- The Tangent Ratio
- Right Triangle Trigonometry: Solving for a Side
- Right Triangle Trigonometry: Solving for an Angle
- Angles of Elevation and Depression
- Trigonometric Ratios of Special Triangles
- Evaluating Trigonometric Ratios given the Value of Another Ratio
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Probability
- Introduction to Probability
- Probability of Simple Events
- Compound Events
- Mutually Exclusive Events
- Experimental Probability
- Prediction Using Probability
- Theoretical Probability
- Dependent and Independent Events
- Independent Events
- Tree Diagrams
- Conditional Probability: Tree Diagrams
- Conditional Probability
- Two-Way Frequency Tables
- Conditional Probability: Two-Way Tables
- Calculating Probability Using Venn Diagrams
- Expressing a Set
- Multiplicative Reasoning
- Direct and Inverse Proportion
- Constructions and Bearings
- Quadratic Expressions and Equations
- Similarity and Congruence
- Vectors
- Algebra and Graphs