Introduction

Adding and Subtracting Integers

Multiplying and Dividing Integers

Equations Involving the Distributive Property

Equations with the Variable on Both Sides

Points, Lines, Planes, and Space

Segments, Rays, and Length

Segment Addition Postulate and Midpoint

Angles and Measure

Angle Addition Postulate and Angle Bisector

Inductive vs. Deductive Reasoning

Conditional Statements

Properties

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

Angle pairs & perpendicular lines

Solving Systems by Addition

Solving Systems by Substitution and Method of Choice

Factoring Trinomials

Factoring Trinomials and Difference of Two Squares

Polynomial Equations

Complementary and Supplementary Angles

Advanced Complementary and Supplementary Angles

Vertical Angles

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

Parallel lines and polygons

Parallel Lines Vocabulary

Given Lines are Parallel

Proving Lines are Parallel

Triangle Vocabulary and Triangle Sum Theorem

Advanced Triangle Sum Theorem

Triangle Word Problems and Exterior Angle Theorem

Polygon Vocabulary

Sum of Interior and Exterior Angles of a Polygon

Regular Polygons

Triangles

Congruent Figures

Proving Triangles are Congruent by SSS, SAS, and ASA

Isosceles Triangle Theorems

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

Quadrilaterals

Properties of Parallelograms

Proving a Quadrilateral is a Parallelogram

More Parallel Line Theorems

Rectangles, Rhombuses, and Squares

Trapezoids

Similarity

Ratio

Proportion

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Similarity Word Problems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

Right triangles

Simplifying Square Roots

Multiplying Square Roots

Dividing Square Roots

Adding and Subtracting Square Roots

Pythagorean Theorem

Pythagorean Theorem Word Problems

Converse of the Pythagorean Theorem

30-60-90 and 45-45-90 Degree Triangles

Advanced 30-60-90 and 45-45-90 Degree Triangles

Sine, Cosine, and Tangent

Sine, Cosine, and Tangent with a Calculator

Trigonometry Word Problems

Circles

Circle Vocabulary

Tangents

Arcs and Central Angles

Arcs and Chords

Advanced Arcs and Chords

Inscribed Angles

Angles Formed by Chords, Secants, and Tangents

Circle Segment Lengths

Advanced Circle Segment Lengths

Area

Area of Rectangles and Squares

Advanced Area of Rectangles and Squares

Area of Parallelograms

Area of Triangles

Area of Rhombuses

Area of Trapezoids

Area of Regular Polygons

Area and Circumference of Circles

Volume

Area and Volume of Prisms

Advanced Area and Volume of Prisms

Area and Volume of Pyramids

Advanced Area and Volume of Pyramids

Area and Volume of Cylinders and Cones

Area and Volume of Spheres

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