Tentative Schedule – Math

Fundamentals of Math

Algebra

Geometry

Advanced Algebra

Pre-Calculus & Trigonometry

Week #1

1. Place Value

2. Comparisons of Whole Numbers and Decimals

3. Properties of Numbers

4. The Order of Operations

5. The Real Number System

6. Integers

7. Estimation and Rounding

1. Algebraic Expressions

2. Literal Equations

3. Algebraic Equations

4. Application of Algebraic Equations

5. Algebraic Inequalities and Properties of Inequality

6. Absolute Value Equations and Inequalities

7. The Coordinate Plane

1. Number Sets and Set Notation

2. A Variety of Geometric Definitions

3. Theorems and Postulates

4. Conditional Statements

5. Variations of Conditional Statements

6. Truth Statements

7. Inductive vs. Deductive Reasoning

1. Application of Algebraic Equations and Inequalities

2. Linear Functions and Graphs

3. Absolute Value Functions and Graphs

4. Transformations of Graphs

5. Systems of Equations with Two and Three Variables

6. Matrices

7. Operations with Matrices

1. Special Case Triangles & The Pythagorean Theorem

2. Right Triangles and Trigonometric Ratios

3. Non-Right Triangles: The Law of Sines and The Law of Cosines

4. Area of Triangles

5. Circles

6. Unit Circles

7. Radians and Degrees

Week #2

1. Powers of Ten

2. Scientific Notation

3. Divisibility Rules

4. Prime Factorization

5. Rational and Irrational Numbers

6. Fractions

7. Ratios, Rates, and Unit Rates

1. Relations and Functions

2. Direct and Inverse Variation

3. Slope, Distance, and Midpoint

4. Linear Equations and Their Graphs

5. Systems of Equations and Their Applications

6. Linear Inequalities

7. Systems of Inequalities and Their Applications

1. Types of Proofs

2. Properties of Geometry

3. Linear and Angular Relationships

4. Types and Classifications of Polygons

5. Triangles

6. Congruence and Similarity of Triangles and a Variety of Other Polygons

7. Geometric Mean

1. Quadratic Equations

2. Complex Numbers

3. Graphs of Horizontal and Vertical Parabolas

4. Polynomials

5. Graphs of Polynomials

6. Even and Odd Functions

7. Symmetry in Equations with Respect to the X-axis, Y-axis, and Origin

1. Unit Circles and Trigonometric Functions

2. Inverse Trigonometric Functions

3. Graphs of Trigonometric Functions

4. Graphs of Inverse Trigonometric Functions

5. Trigonometric Identities & Proofs

6. Cofunctions

7. Pythagorean Identities

Week #3

1. Proportions

2. Scales and Maps

3. Percentages

4. Customary Units of Measurement

5. Metric Units of Measurement

6. Time

7. Temperature

1. Absolute Value Functions and Transformations

2. Exponential Expressions, Equations, and Rules

3. Exponential Graphs and Power Functions

4. Radical Expressions and Equations

5. Polynomials

6. Quadratic Equations

7. The FOIL Method

1. Quadrilaterals and Their Properties

2. Circles and Their Components

3. Angular and Linear Relationships to Circles

4. Arc Length

5. Symmetry

6. Isometric and Non-Isometric Transformations

7. Mappings on the Cartesian Coordinate

1. Radicals and Exponents

2. Graphs of Radical Functions

3. Rational Expressions

4. Graphs of Rational Expressions

5. Exponential and Logarithmic Expressions and Equations

6. Exponential and Logarithmic Graphs

7. Applications of Exponential and Logarithmic Functions

1. Solutions to Trigonometric Equations

2. More Trigonometric Identities, Such As Sum and Difference Identities, Half-Angle, Double-Angle

3. Complex Planes

4. Cis Format

5. Polar Coordinates

6. DeMoivre’s Theorem

7. Polar Graphs

Week #4

1. Graphs

2. Statistical Variability

3. Measures of Central Tendency

4. Arithmetic Sequences

5. Geometric Sequences

6. Probability

7. Permutations And Combinations

1. Factors of Quadratic Equations

2. Completing the Square

3. The Quadratic Formula and the Discriminant

4. Imaginary and Complex Numbers

5. Applications of Quadratic Equations

6. Rational Expressions and Equations

7. Graphs of Rational Functions

1. Perimeter of Regular and Irregular Regions

2. Area of Triangles and Quadrilaterals

3. Area of Circles and Sectors of Circles

4. Area of Regular Polygons

5. A Variety of Three-Dimensional Figures, Including Prisms, Polyhedra, Pyramids, and Spheres

6. Surface Area and Volume

7. Special Case Triangles

1. Piece-Wise Functions and Graphs

2. An Introduction to Limits

3. Conic Sections and Their Graphs

4. Systems of Equations with Conic Sections

5. Algebraic and Geometric Sequences and Series

6.Sigma Notation

7. Statistical Analysis

1. Matrices

2. Vectors

3. Dot and Cross Products

4. Applications of Vectors

5. Parametric Equations for Curves

6. Limits

7. Derivatives