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# Pre-Algebra

- Properties of Numbers
- Basics of Numbers
- Integers
- Rational and Irrational Numbers

Prime Factorization |

Identifying Types of Numbers |

Arithmetic with Overlapping Groups |

Evaluation of an Expression Formed by Odd and Even Integers |

Multiplication: Word Problem |

Best Combination of Bills |

Divisibility by Three |

Factor Tree |

Identifying Prime and Composite Numbers |

Rounding Multi-Digit Whole Numbers |

Comparing Decimals |

Review Multiplication Tables |

Plot Negative Numbers |

Commutative and Associative Properties |

Investigate Commutative Property |

Properties of Addition and Multiplication |

Comparing Integers on the Number Line |

Word Problems Involving Negative Numbers |

Word Problems Involving Absolute Value |

Multiplication of Real Numbers |

Division of Real Numbers |

Evaluation of an Expression Formed by Odd and Even Integers |

Number Line Subtraction |

Long Division |

Multiplying Negative Numbers |

Dividing Negative Numbers |

- Basic Operations
- Addition and Subtraction
- Multiplication and Division
- Absolute Value
- Exponents
- Least Common Multiple and Greatest Common Factor (LCM and GCF)
- Order of Operations (PEMDAS)
- Powers and Exponents

Integer Subtraction |

Addition and Subtraction of Rational Numbers and Expressions |

Adding and Subtracting Rational Numbers |

Arithmetic with Overlapping Groups |

Evaluation of an Expression Formed by Odd and Even Integers |

Combine an Integer and a Fraction |

Multiplication: Word Problem |

Bucket Filler Puzzle: Add and Subtract Together |

Decimal Addition |

Fraction Subtraction |

Number Line Subtraction |

Add Numbers Vertically |

Choose Lowest Cost Combination |

Two Step Word Problems Involving Basic Operations |

Word Problems Involving Addition, Subtraction, Multiplication, and Division |

Multiplying Rational Numbers |

Rational Numbers and Division |

Division of Fractions |

Dividing Decimals |

Multiplication of Real Numbers |

Division of Real Numbers |

Divisibility by Three |

Division: Word Problem |

Multiplication of a Fraction by a Whole Number |

Finding Missing Values in Multiplication Tables |

Word Problems Involving Multiplication |

Word Problems Involving Quotients and Differences |

Long Division |

Multiplying by 10, 100, 1000 |

Multiplying one digit numbers |

Review Multiplication Tables |

Choose Lowest Cost Combination |

Dividing by Multiples of 10 |

Dividing with Remainders |

Fraction Multiplication |

Two Step Word Problems Involving Basic Operations |

Word Problems Involving Addition, Subtraction, Multiplication, and Division |

Word Problems with Multiplication and Division |

Divisibility Rules for 2, 3, 5, 9, and 10 |

Division by 10 and 100 |

Dividing Negative Numbers |

Absolute Value of Numbers |

Word Problems Involving Absolute Value |

Absolute Value Linear Inequality |

Number Line Absolute Value Arithmetic |

Squares of Negative Integers |

Squares and Cubes of Integers |

Properties of Exponents |

Evaluating Squares and Square Roots |

Word Problems with Powers |

Prime Factorization |

Finding the Greatest Common Factor |

Finding the Least Common Multiple |

Comparing Fractions Using GCF/LCM (LCD) |

Rewriting Expressions by Factoring |

Common Factors in Polynomials |

Factor Tree |

Basic Greatest Common Factor Problems |

Basic Least Common Multiple Problems |

Using the Order of Operations to Simplify Expressions Involving the Four Basic Operations |

Evaluate a Defined Operator Numerically |

Using the Order of Operations to Simplify Expressions Involving Addition, Subtraction, and Multiplication |

Using the Order of Operations to Simplify Expressions Involving Exponents and Parentheses |

Squares of Negative Integers |

Squares and Cubes of Integers |

Squares of Fractions |

Properties of Exponents |

Power to a Power |

Word Problems with Powers |

- Fractions and Decimals
- Decimals
- Fractions

Addition and Subtraction of Rational Numbers and Expressions |

Identifying Fractions, Decimals and Percents 2 |

Identifying Fractions, Decimals and Percents |

Converting Between Decimals and Fractions |

Dividing Decimals |

Decimal Addition |

Comparing Fractions, Decimals, and Percents |

Multiplication of Decimals by 10, 100, etc |

Converting Decimals and Fractions |

Dividing by Multiples of 10 |

Word Problems with Rational Numbers |

Division by 10 and 100 |

Decimal Operations |

Visual Addition of Fractions with Unlike Denominators |

Squares of Fractions |

Addition and Subtraction of Rational Numbers and Expressions |

Identifying Fractions, Decimals and Percents 2 |

Identifying Fractions, Decimals and Percents |

Reducing Fractions |

Comparing Fractions Using GCF/LCM (LCD) |

Adding and Subtracting Rational Numbers |

Multiplying Rational Numbers |

Rational Numbers and Division |

Division of Fractions |

Converting Between Decimals and Fractions |

Multiplication of Real Numbers |

Division of Real Numbers |

Subtracting Fractions with Like Denominators |

Combine an Integer and a Fraction |

Convert a Mixed Number to an Improper Fraction |

Equivalent Fractions |

Multiplication of a Fraction by a Whole Number |

Fraction Subtraction |

Calculating Servings Involving Fractions |

Comparing Fractions, Decimals, and Percents |

Solving Rational Equations |

Square Roots of Fractions |

Converting Decimals and Fractions |

Fraction Addition |

Fraction Division |

Fraction Multiplication |

Improper Fractions |

What is a Fraction? |

Word Problems with Rational Numbers |

- Ratios, Percentages and Proportions
- Percents
- Percent Change
- Proportions
- Ratios
- Unit Rate

Simple Interest |

More Word Problems with Percents and Proportions |

Identifying Fractions, Decimals and Percents 3 |

Identifying Fractions, Decimals and Percents 2 |

Identifying Fractions, Decimals and Percents |

Percent Word Problems |

The Higher Discount the Higher Price |

Comparing Fractions, Decimals, and Percents |

Calculating Markdowns |

Word Problems Involving Percent Increase |

Calculating Percentages from Bar Graphs |

Calculations Involving Percents of Percentages |

Word Problems with Percents and Proportions |

Percent Decrease |

The Higher Discount the Higher Price |

Calculating Markdowns |

Word Problems Involving Percent Increase |

Basic Unit Rate Word Problems |

Solving Proportions Using Cross Multiplication |

Equivalent Ratios |

Understanding Graphs of Proportional Relationships: Representation |

Understanding Graphs of Proportional Relationships: Identification |

Direct and Inverse Variation |

More Word Problems with Percents and Proportions |

Scale Factor 3D |

Direct Variation |

Direct Variation Word Problems |

Using a Pie Chart and Proportions to Calculate Costs |

Word Problems with Percents and Proportions |

Writing Ratios, Comparing and Finding Unit Rates |

Equivalent Ratios |

Golden Ratio |

Equivalent Ratios on a Number Line |

Number Line Ratios |

Ratios of Angles in Triangles |

Ratio of Two Quantities |

Basic Unit Rate Word Problems |

Writing Ratios, Comparing and Finding Unit Rates |

Word Problems Involving Unit Rates |

Understanding Graphs of Proportional Relationships: Representation |

Understanding Graphs of Proportional Relationships: Identification |

Unit Rate as Slope |

Models for Distance, Rate, and Time |

- Basic Algebra
- Algebraic Expressions
- One-Variable Linear Equations
- Basic Equations
- Two-Variable Linear Equations
- Systems of Linear Equations

Word Problems Involving Consecutive Numbers |

Translating Words into Mathematical Expressions |

Simplify Expressions |

Representing Word Problems with Mathematical Expressions |

Evaluating Expressions |

Evaluating Expressions with Addition and Subtraction |

Evaluating Expressions with Multiplication and Division |

Distributive Property |

Combining Like Terms |

Writing Expressions from Words |

Combining Like Terms (Algebra) |

Apply a Given Operator to a Variable and a Number -2 |

Arithmetic with Overlapping Groups |

Evaluation of an Expression Formed by Odd and Even Integers |

Evaluate a Defined Operator Numerically |

Evaluating Algebraic Expressions |

Find Equivalent Expressions |

Use Substitution to Rewrite Expressions |

Medians of Variable Expressions |

Adding Integers |

Solving Equations with One Variable |

Evaluating Polynomials |

Translating Words into Mathematical Equations |

Solving Equations Using Addition and Subtraction |

Solving Equations Using Multiplication and Division |

Solving Simple Word Problems Using Equations |

Solving 2-Step Equations Using Multiplication and Division |

Solving 2-Step Equations Using Addition and Subtraction |

Solving Equations with Variables on Both Sides |

Word Problems with One Variable Equations |

Solutions to Equations |

Solving Linear Equations with Variables on Both Sides of the Equation |

Solving Equations with One Variable |

Writing Equations and Inequalities |

Solving Word Problems with Linear Equations |

Solving Two Step Linear Equations |

Writing One Variable Equations |

Solving Equations Using Multiplication and Division |

Solving Equations Using Addition and Subtraction |

Solving Simple Word Problems Using Equations |

Writing Equations and Inequalities |

Writing Linear Equations from Tables |

Reasoning with Equations in Two Variables |

Satisfying Equations |

Solving Equations Given One Variable |

Word Problems and One Line |

Evaluating Expressions through Substitution |

- Basic Geometry
- Pythagorean Theorem
- Congruence Transformations

Square: Find the Diagonal |

Equilateral Triangle: Find the Perimeter Given the Altitude |

Equilateral Triangle: Find the Area Given a Side Length |

3-4-5 Triangle: Find the Remaining Side |

3-4-5 Triangle: Find the Hypotenuse |

3-4-5 Triangle: Find the Area |

Pythagorean Theorem |

Pythagorean Theorem on the Coordinate Plane |

Equilateral Triangle: Find the Area Given the Altitude |

Word Problems Involving the Pythagorean Theorem |

45-45-90 Triangle: Find Another Side Given a Side |

45-45-90 Triangle: Find the Area Given the Hypotenuse |

45-45-90 Triangle: Find the Hypotenuse Given the Area |

45-45-90 Triangle: Given the Hypotenuse Find the Unknown Side |

Coordinate Plane: Find the Distance between Two Points |

Rectangle: Find the Diagonal |

Word Problems (Distance) |

Lengths of Chords in Circles |

Right Triangle Word Problems |

Translating Shapes on the Coordinate Plane |

Symmetry of Letters |

What Is Congruence? |

Identifying Transformations |

Working with Congruence Transformations |

Rotations on the Coordinate Plane |

Reflections on the Coordinate Plane |

Developing Definitions of Translations |

Translating Points on the Coordinate Plane |

Reflecting Figures on the Coordinate Plane |

# Algebra

- Exponents and Radicals

- One-Variable Equations and Inequalities
- Solving Equations
- Solving Inequalities

Solving Basic Rational Equations |

Solving Absolute Value Equations |

Solving Basic Absolute Value Equations |

Solving Two Step Linear Equations |

Solving Linear Equations Using the Distributive Property |

Solving Equations with Variables on Both Sides |

Solving 2-Step Equations Using Addition and Subtraction |

Solving 2-Step Equations Using Multiplication and Division |

Solving Simple Word Problems Using Equations |

Solving Equations Using Addition and Subtraction |

Solving Equations Using Multiplication and Division |

Word Problems with One Variable Equations |

Word Problems with Equations and Inequalities |

Solutions to Equations |

Number of Solutions |

Solving Linear Equations with Variables on Both Sides of the Equation |

Solving Equations for Given Variables |

Solving Equations for Given Expressions |

Solving Radical Equations |

Consecutive Ages |

Consecutive Even Integers |

Consecutive Odd Integers |

All Consecutive Integers |

Exponential Equation: Same Base with Different Exponents |

Evaluating Expressions with Negative Exponents |

Solving Radical Equations Involving Fractions |

Word Problems Involving Sums of Consecutive Numbers |

Inverse Variation Word Problem |

Finding Unknown Values in Multiplication Equations |

Solving Equations Involving Midpoints |

Finding Unknown Length: Using Midpoint |

Solving Rational Equations |

Finding Equivalent Equations |

Solve Complex Number Equation |

Solving Complicated Equations |

Solving Equations through Multiplication and Division |

Solving Equations with Multiple Variables |

Variable Relationships |

Solving Two Step Linear Inequalities |

Solving Inequalities Using Addition and Subtraction |

Solving Inequalities Using Multiplication and Division |

Solving Multi-Step Inequalities |

Word Problems with Equations and Inequalities |

Solving Inequalities in Two Variables |

Word Problems with Inequalities |

Solving One Variable Inequalities |

Solving Quadratic Inequalities |

Solving Rational Inequalities |

Satisfying Inequalities |

Writing Equations and Inequalities |

Word Problems (Inequalities) |

- Multiple Variables

- Real Numbers and Quantities

- Polynomials
- Degree of Polynomial
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Factoring Polynomials

Combining Like Terms (Algebra) |

Adding Polynomials |

Adding and Subtracting Rational Expressions |

Add Polynomials |

Rewriting Polynomial Equations |

Expanding Expressions by Multiplying |

Using the Distributive Property in Expressions |

Multiplying Binomials with Binomials |

Multiplying Binomials with Monomials |

Multiplying Polynomials |

Multiplying and Dividing Rational Expressions |

Expanding Expressions by Multiplying Binomials |

Use Substitution to Rewrite Expressions |

Multiplying Binomials |

Multiplying Quadratic Expressions |

Dividing Polynomials Using Long Division |

Dividing Polynomials Using Long Division with Remainders |

Rewriting Expressions by Factoring |

Common Factors in Polynomials |

Factoring the Difference of Squares |

Factoring Quadratics |

Dividing Polynomials by Factoring |

Simplifying Rational Expressions |

Factor Difference of Squares |

Factoring Quadratic Expressions |

Factoring Quadratic Expressions with Negative Leading Coefficients |

Polynomial Word Problems |

- Functions
- Basics of Functions
- Function Rules
- Linear Functions
- Quadratic Functions
- Exponential Functions
- Absolute Value Functions
- Piecewise-Defined Functions
- Step Functions
- Domain and Range
- Inverse Functions

What is a Function? |

Lines as Functions |

Identifying Sets, Relations, and Functions |

Using Graphs to Determine Whether a Relation Is a Function |

Find Domain: Range of Function Given |

Evaluating Functions |

Evaluating Functions for Given Expressions |

Describe Functional Relationships |

Linear vs. Nonlinear |

Identifying the Graphs of Non-Linear Functions |

Find the Absolute Value Function From the Given Graph |

Match the Graph with Given Absolute Value Function |

Writing Equations of Lines |

Matching Lines with Equations |

Evaluating Functions |

Evaluating Functions for Given Expressions |

Linear Functions as Models |

Quadratic Functions as Models |

Classifying Functions |

Graphing a Linear Function Given a Point and Its Slope |

Creating Functions for Translated Lines |

Slope Point Word Problem |

Identifying Slope from an Equation in Slope-Intercept Form |

Writing Linear Equations from Tables |

Comparing Properties of Functions |

Slope and Intercept |

Lines as Functions |

Word Problems and One Line |

Using Linear Models to Solve Problems with Bivariate Data |

Identifying Slope and y-intercept from an Equation in Slope-Intercept Form |

Writing Linear Equations Given Slope and y-intercept |

Creating Tables for Linear Functions |

Finding the Equations of Lines in Standard Form |

Point-Slope Form |

Find Slope-Intercept Form of a Function |

Show Given Slope: Drag the Endpoint of the Line |

Writing Equations of Lines |

Matching Lines with Equations |

Find Linear Function Given Intercepts |

Find Linear Function Given Intercepts Graph |

Linear Functions as Models |

Find the Domain of Line Segments on the Coordinate Plane |

Find the Range of Line Segments on the Coordinate Plane |

Graphing Lines Given Slope and Y-Intecept |

Graph a Function Given Slope and a Point |

Range Given Linear Function and Domain |

Classifying Functions |

Graphing (Points and Tables) |

Solving More Complicated Equations |

Parabola: Find Line of Symmetry |

Quadratic Function: Find Line of Symmetry |

Finding the Equation of a Parabola Given Its Graph |

Using a Focus and Directrix to Write a Quadratic Equation |

Range Given Quadratic Function and Domain |

Quadratic Functions as Models |

Graphing Parabolas From Equations Using Three Points |

Graphing a Quadratic Using Its Focus and Directrix |

Matching the Graph of a Parabola with Its Equation |

Graphing Parabolas |

Classifying Functions |

Solving Absolute Value Equations |

Solving Basic Absolute Value Equations |

Find the Absolute Value Function From the Given Graph |

Match the Graph with Given Absolute Value Function |

Reasoning with Absolute Value Functions |

Find Domain: Range of Function Given |

Range Given Quadratic Function and Domain |

Find the Domain of Line Segments on the Coordinate Plane |

Find the Range of Line Segments on the Coordinate Plane |

Range Given Linear Function and Domain |

- Coordinates and Graphs

- Systems of Equations
- Linear Equations
- Linear Inequalities
- Linear and Nonlinear Equations
- Linear and Nonlinear Inequalities
- Elimination

Advanced Systems of Linear Equations |

Verifying Solutions to Systems of Linear Equations |

Solving Systems of Linear Equations by Graphing |

Solving Systems of Linear Equations by Elimination |

Solving Systems of Linear Equations Using Substitution |

Word Problems and Two Lines |

Representing Systems of Linear Equations as Matrix Equations |

Using Matrices to Solve Systems of Linear Equations |

Classifying Systems of Linear Equations |

Solving Systems of Linear Equations by Elimination: Advanced |

Solving Systems of Linear Equations by Elimination |

Solving Systems of Linear Equations Using the Addition Method |

- Word Problems

- Multiplication and Division

- Quadratic Equation

- Factoring

- Square Roots

- Sequences and Series

- Expressions

- Logarithms

- Fractions

- Scientific Notation

- Percents

# Geometry

- Area and Volume
- Cross-Sections
- Nets
- Area
- Volume

Intro to Surface Area |

Nets and Surface Area |

Number of Edges or Vertices |

Properties of 3D Shapes |

Surface Area of Irregular Solids |

Square: Find the Area |

Finding the Area of Isosceles Triangles Using Trigonometry |

Equilateral Triangle: Find the Area Given a Side Length |

30-60-90 Triangle: Find the Hypotenuse |

30-60-90 Triangle: Find the Area Given Two Sides |

30-60-90 Triangle: Find the Area Given an Angle |

30-60-90 Triangle: Find Another Side Given the Area |

3-4-5 Triangle: Find the Other Leg |

3-4-5 Triangle: Find the Area |

Word Problems Involving Area |

Perimeter and Area of Trapezoids |

Calculating Circumference and Area |

Area of Irregular Figures |

Word Problems - Area and Perimeter |

Intro to Surface Area |

Nets and Surface Area |

Similar Solids (Surface Area) |

Surface Area of Spheres |

Surface Area of Cones |

Surface Area of Pyramids |

Surface Area of Cylinders |

Triangular Prism Surface Area |

Rectangular Prism Surface Area |

Equations Using Area, Perimeter and Volume |

Practice with Geometric Formulas |

Equilateral Triangle: Find the Area Given the Altitude |

Word Problems Involving the Pythagorean Theorem |

45-45-90 Triangle: Find a Side Given the Area |

45-45-90 Triangle: Find Another Side Given a Side |

45-45-90 Triangle: Find the Area Given a Side |

Area of a Composed Shape |

Area of Shaded Region |

Circle: Find the Area Given the Diameter |

Circle: Find the Area Given the Radius |

Circle: Find the Circumference Given the Area |

Circle: Find the Diameter Given the Area |

Circle: Find the Radius Given the Area |

Square: Find Area Using Equal Perimeters |

Equilateral Triangle: Find a Side Length Given the Area |

Equilateral Triangle: Find the Altitude Given the Area |

Parallelogram: Find the Area |

Rectangle: Find the Area |

Rectangle: Find the Side Length |

Concentric Circles: Find the Diameter Given the Area |

Concentric Circles: Find the Radius Given the Area |

Find Surface Area of a Gift Box |

Chance of Hitting Bullseye |

Surface Area of Irregular Solids |

Finding the Area of Quadrilaterals in the Coordinate Plane |

Circles and Similarity |

Modeling Geometric Shapes |

Formulas for Circumference, Area, and Volume |

Triangles: Find Area Given SAS |

Area of Similar Figures |

Intro to Volume |

Similar Solids (Volume) |

Volume of Irregular Solids |

Volume of Spheres |

Volume of Cones |

Volume of Pyramids |

Volume of Cylinders |

Triangular Prism Volume |

Rectangular Prism Volume |

Equations Using Area, Perimeter and Volume |

Cubes: Find Edges Given the Volume |

Intro to 3D Geometry |

2D to 3D Rotations |

Modeling Geometric Shapes |

Formulas for Circumference, Area, and Volume |

Volume Formulas |

Volume of Similar Solids (Without Scale Factor) |

- Coordinate Geometry
- Distance Formula
- Midpoint Formula
- Section Formula

Pythagorean Theorem on the Coordinate Plane |

Coordinate Plane: Find the Distance between Two Points |

Vertical and Horizontal Distances on the Coordinate Plane |

Word Problems (Distance) |

Distance Formula Word Problems |

Triangles on the Coordinate Plane |

Identify Quadrilateral Given Coordinates |

Measure Sides of a Polygon on the Coordinate Plane |

Midpoints of Segments on the Coordinate Plane |

Midpoint in the Coordinate Plane |

Segment Length |

Word Problems (Midpoints) |

Number Line: Distance and Midpoint |

- Parallel and Perpendicular Lines
- Parallel Lines
- Perpendicular Lines
- Equations and Slopes of Lines

Parallel Lines |

Identify Relation between Angles Formed by a Transversal |

Notation of Rays, Lines, and Segments |

Parallel or Perpendicular |

Points, Lines, and Planes |

Postulates about Points, Lines, and Planes |

Proofs with Parallel Lines |

Finding the Equation of a Line Perpendicular to a Given Line |

Rectangle: Find the Angle |

Notation of Rays, Lines, and Segments |

Parallel or Perpendicular |

Slopes of Perpendicular Lines |

Points, Lines, and Planes |

Slope Point Word Problem |

Identifying Slope from an Equation in Slope-Intercept Form |

Unit Rate as Slope |

Slope and Intercept |

Identifying Slope and y-intercept from an Equation in Slope-Intercept Form |

Writing Linear Equations Given Slope and y-intercept |

Point-Slope Form |

Show Given Slope: Drag the Endpoint of the Line |

Graphing Lines Given Slope and Y-Intecept |

Finding the Equation of a Line Parallel to a Given Line |

Finding the Equation of a Line Perpendicular to a Given Line |

Graph a Function Given Slope and a Point |

Slopes of Perpendicular Lines |

Parallel and Perpendicular Lines Word Problem |

- Construction

- Angles

- Triangles
- Properties of Triangles
- Types of Triangles
- Congruent Triangles
- Similar Triangles
- Theorems about Triangles

Classifying Triangles |

Drawing Triangles with Given Conditions |

Equilateral Triangle: Find the Perimeter Given a Side Length |

45-45-90 Triangle: Find a Side Given the Area |

45-45-90 Triangle: Find Another Side Given a Side |

45-45-90 Triangle: Find the Hypotenuse Given the Area |

45-45-90 Triangle: Given the Hypotenuse Find the Unknown Side |

Equilateral Triangle: Find a Side Length Given the Altitude |

Equilateral Triangle: Find a Side Length Given the Area |

Notation of Angles and Triangles |

Centroids of Triangles |

Corresponding Parts of Congruent Triangles |

Orthocenters of Triangles |

30-60-90 Right Triangles |

Classifying Triangles |

Finding the Area of Isosceles Triangles Using Trigonometry |

Finding Unknown Base Angles in Isosceles Triangles |

Finding Unknown Vertex Angles in Isosceles Triangles |

Equilateral Triangle: Find the Area Given a Side Length |

Drawing Triangles with Given Conditions |

Triangles on the Coordinate Plane |

Corresponding Parts of Congruent Triangles |

Parallelogram: Find the Side Length |

Identifying Congruent Figures |

Right Triangle Congruence |

Triangle Congruence |

Corresponding Parts of Congruent Triangles |

Identifying Corresponding Parts in Descriptions of Congruent Triangles |

Finding Unknown Sides in 30-60-90 Triangles |

30-60-90 Triangle: Find the Remaining Side |

30-60-90 Triangle: Find the Hypotenuse |

30-60-90 Triangle: Find the Area Given Two Sides |

30-60-90 Triangle: Find the Area Given an Angle |

30-60-90 Triangle: Find Another Side Given the Area |

30-60-90 Triangle: Find Another Side Given an Angle |

3-4-5 Triangle: Find the Remaining Side |

3-4-5 Triangle: Find the Other Leg |

3-4-5 Triangle: Find the Hypotenuse |

3-4-5 Triangle: Find the Area |

Similar Triangles |

Scale Factor |

Equilateral Triangle: Find the Area Given the Altitude |

What is Similarity? |

30-60-90 Triangles Find the Radical Side |

Right Triangle Geometric Mean |

45-45-90 Triangles |

Area of Similar Figures |

Identifying Similar Triangles |

Identifying Scale Factors |

Identifying Scale Factors from Descriptions of Triangles |

Finding Unknown Base Angles in Isosceles Triangles |

Finding Unknown Vertex Angles in Isosceles Triangles |

Finding Unknown Sides in 30-60-90 Triangles |

Equilateral Triangle: Find the Perimeter Given the Altitude |

Equilateral Triangle: Find the Area Given a Side Length |

30-60-90 Triangle: Find the Remaining Side |

30-60-90 Triangle: Find the Hypotenuse |

30-60-90 Triangle: Find the Area Given Two Sides |

30-60-90 Triangle: Find the Area Given an Angle |

30-60-90 Triangle: Find Another Side Given the Area |

30-60-90 Triangle: Find Another Side Given an Angle |

3-4-5 Triangle: Find the Remaining Side |

3-4-5 Triangle: Find the Other Leg |

3-4-5 Triangle: Find the Hypotenuse |

3-4-5 Triangle: Find the Area |

45-45-90 Triangle: Find a Side Given the Area |

45-45-90 Triangle: Find the Area Given a Side |

45-45-90 Triangle: Find the Area Given the Hypotenuse |

45-45-90 Triangle: Find the Hypotenuse Given the Area |

45-45-90 Triangle: Given the Hypotenuse Find the Unknown Side |

Triangle Angle Sum Theorem |

Inequalities in One Triangle |

Centroids of Triangles |

Triangle Midsegments |

45-45-90 Triangles |

Triangles: Find Area Given SAS |

Orthocenters of Triangles |

- Quadrilaterals
- Parallelograms
- Squares and Rectangles
- Cyclic Quadrilaterals

Parallelogram: Find the Angle |

Parallelogram: Find the Area |

Parallelogram: Find the Diagonal |

Parallelogram: Find the Perimeter |

Parallelogram: Find the Side Length |

Solving Equations with Quadrilaterals |

Square: Find the Side Length |

Square: Find the Perimeter |

Square: Find the Diagonal |

Square: Find the Area |

Square: Find the Angle |

Square: Find Area Using Equal Perimeters |

Rectangle: Find the Angle |

Rectangle: Find the Area |

Rectangle: Find the Diagonal |

Rectangle: Find the Perimeter |

Rectangle: Find the Side Length |

- Polygons
- Concave and Convex
- Perimeter
- Regular Polygons
- Angles in Polygons

Square: Find the Perimeter |

Equilateral Triangle: Find the Perimeter Given the Altitude |

Perimeter of Triangles |

Perimeter and Area of Trapezoids |

Word Problems - Area and Perimeter |

Equations Using Area, Perimeter and Volume |

Practice with Geometric Formulas |

Equilateral Triangle: Find the Perimeter Given a Side Length |

Square: Find Area Using Equal Perimeters |

Parallelogram: Find the Perimeter |

Perimeter of Polygon: Using Coordinates of Vertices |

Rectangle: Find the Perimeter |

Distance Formula Word Problems |

Square: Find the Angle |

Finding Unknown Base Angles in Isosceles Triangles |

Finding Unknown Vertex Angles in Isosceles Triangles |

Types of Quadrilaterals |

Parallelogram: Find the Angle |

Polygon: Sum of Angles |

Ratios of Angles in Triangles |

Rectangle: Find the Angle |

Triangle Angle Sum Theorem |

Angles in Rhombuses |

- Circles
- Central Angles
- Tangents and Secants
- Circumference
- Equations of Circles

Calculating Circumference and Area |

Circle: Find the Circumference Given the Area |

Circle: Find the Circumference Given the Diameter |

Circle: Find the Circumference Given the Radius |

Circle: Find the Diameter Given the Area |

Circle: Find the Diameter Given the Circumference |

Circle: Find the Radius Given the Circumference |

Concentric Circles: Find the Diameter Given the Circumference |

Concentric Circles: Find the Radius Given the Circumference |

Identify Circle by Diameter |

Completing Shapes |

Formulas for Circumference, Area, and Volume |

- Transformations

Dilations on the Coordinate Plane |

Reflections on the Coordinate Plane |

Rotations on the Coordinate Plane |

Developing Definitions of Translations |

Translating Points on the Coordinate Plane |

Rotational Symmetry |

Reflecting Figures on the Coordinate Plane |

- Logic and Proof
- Mathematical Statements
- Conditionals and Biconditionals
- Converses, Inverses, and Contrapositives
- Truth Values
- Informal (Paragraph) Proof
- Formal (Two-Column) Proof
- Algebraic Proof
- Theorems and Postulates

- Right Triangles and Trigonometry
- Right Triangles

Using the Basic Trigonometric Ratios |

Finding Unknown Sides in 30-60-90 Triangles |

30-60-90 Triangle: Find the Hypotenuse |

30-60-90 Triangle: Find the Area Given Two Sides |

30-60-90 Triangle: Find the Area Given an Angle |

30-60-90 Triangle: Find Another Side Given the Area |

30-60-90 Triangle: Find Another Side Given an Angle |

Pythagorean Theorem |

Pythagorean Theorem on the Coordinate Plane |

Equilateral Triangle: Find the Area Given the Altitude |

Word Problems Involving the Pythagorean Theorem |

45-45-90 Triangle: Find a Side Given the Area |

45-45-90 Triangle: Find Another Side Given a Side |

45-45-90 Triangle: Find the Area Given a Side |

45-45-90 Triangle: Find the Area Given the Hypotenuse |

45-45-90 Triangle: Find the Hypotenuse Given the Area |

45-45-90 Triangle: Given the Hypotenuse Find the Unknown Side |

Equilateral Triangle: Find a Side Length Given the Altitude |

Equilateral Triangle: Find a Side Length Given the Area |

Equilateral Triangle: Find the Altitude Given the Area |

Equilateral Triangle: Find the Altitude Given the Side Length |

Rectangle: Find the Diagonal |

Sine and Cosine of Complementary Angles |

30-60-90 Triangles Find the Radical Side |

Right Triangle Geometric Mean |

45-45-90 Triangles |

Ratios of Sides in Triangles |

Right Triangle Word Problems |

30-60-90 Right Triangles |

# Statistics and Probability

- Probability
- Combinations
- Probability
- Types of Events

Combinations and Probabilities Brain Teaser |

Combinations and Permutations |

The Basic Counting Principle |

Calculating Combinations |

Word Problems with Combinations and Permutations |

Different Combinations of Seatings |

Combinations of Car Seatings with Limited Drivers |

Find Binomial Coefficient |

Dinner Menu Combinations |

Fundamental Counting Principle Word Problems |

Probability Word Problems Involving Inequalities |

Compound Events Using Organized Lists |

Compound Events Using Tables |

Compound Events Using Tree Diagrams |

Simulating Compound Events |

Calculating Probability |

Basic Probability |

Using Two Probabilities to Calculate a Third Probability |

Using Probability to Determine the Number of Outcomes |

Using Two Probabilities to Calculate a Number of Outcomes |

Probability: Bobbing for Apples |

Chance of Hitting Bullseye |

Experimental Probability vs. Theoretical Probability |

Venn Triagram Analysis |

Venn Diagram Analysis |

Unions of Sets |

Word Problems Involving Sets |

Combinations and Probabilities Brain Teaser |

Independent and Dependent Events |

Complementary and Mutually Exclusive Events |

Advanced Additive Probability |

Chance of Hitting a Target on a Square |

Intersection of Sets |

- Statistics
- Charts, Graphs, and Tables
- Designing a Study
- Evaluating Data
- Mean, Median, and Mode

Venn Triagram Analysis |

Venn Diagram Analysis |

Analyzing Data in a Table |

Linear vs. Nonlinear Association |

Line of Best Fit |

Using Linear Models to Solve Problems with Bivariate Data |

Two-Way Frequency Tables |

Choose Appropriate Display |

Misleading Graphs |

Venn Diagrams |

Graphing Correlated Events |

Stem and Leaf Plots |

Pie Charts |

Bar Graphs |

Using Data Displays to Make Comparisons and Draw Conclusions |

Visual Displays of Data |

Box and Whisker Plots |

Means of Bar Graphs |

Medians of Bar Graphs |

Modes of Bar Graphs |

Calculating Percentages from Bar Graphs |

Analyzing a Pie Chart |

Using a Pie Chart and Proportions to Calculate Costs |

Reading Bar Graphs |

Read Linear Graph |

Clustering and Outliers |

Box and Dot Plots |

Sampling Methods 2 |

Sampling Methods |

Populations and Samples |

What is Statistics? |

Different Types of Data |

Choose Statistical Questions |

Using Linear Models to Solve Problems with Bivariate Data |

Linear vs. Nonlinear Association |

Line of Best Fit |

Two-Way Frequency Tables |

Graphing Correlated Events |

Stem and Leaf Plots |

Pie Charts |

Bar Graphs |

Using Data Displays to Make Comparisons and Draw Conclusions |

Summarizing Data Sets |

Calculating Standard Deviation |

Using Data to Calculate Mean, Median and Mode |

Drawing Inferences About a Population |

Different Types of Data |

Measure of Central Tendency |

Advanced Additive Probability |

Box and Whisker Plots |

Determining Means and Medians of Sets 1 |

Determining Means and Medians of Sets 2 |

Determining Means and Medians of Sets 3 |

Means of Bar Graphs |

Medians of Bar Graphs |

Modes of Bar Graphs |

Analyzing a Pie Chart |

Using a Pie Chart and Proportions to Calculate Costs |

Reading Bar Graphs |

Interquartile Range and Mean Absolute Deviation |

More Word Problems Involving Averages |

Word Problems with Averages |

Weighted Averages |

Table-Based Averages |

Summarizing Data Sets |

Calculating Averages |

Measure of Central Tendency |

Using Data to Calculate Mean, Median and Mode |

Box and Whisker Plots |

Determining Means and Medians of Sets 1 |

Determining Means and Medians of Sets 2 |

Determining Means and Medians of Sets 3 |

Given Mean Find The Largest Member of the Set |

Means of Bar Graphs |

Medians of Bar Graphs |

Medians of Variable Expressions |

Modes of Bar Graphs |

Identify Correct Statistical Measure |

Geometric Mean |

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