10th grade

1

Quadratic Expressions

Rational Expressions

Rational Expressions with Multiple Terms

2

Introduction to Planar Figures

Rotation Tricks

Triangle Proofs

Geometric Constructions

Larger Geometric Constructions

Inscribed Figures

3

Similarity and Trigonometry

What is Congruence and Similarity?

Congruence Rules

Similar Triangles

The Pythagorean Theorem

Trigonometry Foundations

Using Trigonometry

Unit Circle & Angle Relationships

General Formula for Area of a Triangle

Laws of Sines and Cosines

4

Introduction to Circles

Circle Sectors and Arcs

Understand Thales's Theorem

Understand the Circle of Apollonius

The Equation of a Circle

5

Proving a Rectangle with Coordinates

The Golden Ratio

6

Introduction to Solid Figures

Explain volume formulas and use them to solve problems

Solving Problems with Geometry

Density of Materials

7

Elements, Sets and Subsets

Calculate Probability

Conditional Probability

1

Numbers and Quantities

Roots and Powers

Introduction to Complex Numbers

Complex Number Operations

Complex Solutions to Equations

2

Rational Expressions

Rational Expressions with Multiple Terms

Factoring with Square Identities

Quadratic Equations

Factoring Quadratics

Arithmetic Operations on Polynomials

Relationship Between Zeros and Factors

Rearranging Formulas

System of Equations

3

Polynomial Functions

Rational Functions

Exponential Functions

Logarithmic Functions

Quadratic Functions

Inverse Functions

Transformations of Functions

4

Similarity and Trigonometry

The Pythagorean Theorem

What is Congruence and Similarity?

Congruence Rules

Similar Triangles

Trigonometry Foundations

Using Trigonometry

Switching Between Sine and Cosine

The Unit Circle

5

Areas of Polygons

Angle and Line Theorems

Triangle Proofs

Inscribed Figures

6

Introduction to Solid Figures

Solving Problems with Geometry

7

Elements, Sets and Subsets

Calculate Probability

Conditional Probability

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