High School Math Courses

  • Pre-Algebra, semester one

    Recommended Ages: Middle & High School Students

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. What is Algebra?

    1.1 Variables & Algebraic Expressions

    1.2 Order of Operations

    1.3 Evaluating Algebraic Expressions

    1.4 Types of Numbers

    1.5 Absolute Value

    1.6 Adding & Subtracting Integers with Signs

    1.7 Mathematical Sequences

    1.8 Plotting Points on a Coordinate Plane

    2. Solving Equations/Inequalities & Factoring

    2.1 Simplifying Algebraic Expressions (Combining Like Terms)

    2.2 Solving One-step Equations

    2.3 Solving Two-step Equations

    2.4 The Distributive Property

    2.5 What are Inequalities

    2.6 Solving Inequalities

    2.7 Prime Factorization of a Number

    2.8 Finding the Greatest Common Factor

    2.9 Greatest Common Factor in Algebraic Expressions

    3. Decimals & Fractions

    3.1 Rounding Decimals

    3.2 Adding & Subtracting Decimals

    3.3 Multiplying & Dividing Decimals

    3.4 Converting Between Fractions & Decimals

    3.5 Multiplying & Dividing Fractions

    3.6 Multiplying & Dividing Mixed Numbers

    3.7 Adding & Subtracting Fractions

    3.8 Adding & Subtracting Mixed Numbers

    3.9 Reducing & Raising Fractions

    3.10 Algebraic Equations with Decimals & Fractions

    4. Units of Measure

    4.1 Standard Units of Measure

    4.2 Conversions with Standards Units of Measure

    4.3 The Metric System

    4.4 Conversions in the Metric System

    4.5 Converting Between the Standard & Metric System

    4.6 Converting Between Rates

    5. Exponent Rules

    5.1 What are Exponents

    5.2 Zero & Negative Exponents

    5.3 The 3 Exponent Rules

    5.4 Multiplying Exponential Expressions

    5.5 Dividing Exponential Expressions

    5.6 Scientific Notation

    5.7 Solving Equations with Exponents

    6. Ratios, Proportions, & Percent

    6.1 How to Cross Multiply

    6.2 Ratios & Rates

    6.3 Using Proportions to Solve Word Problems

    6.4 Perimeter, Area, & Volume of Similar Figures

    6.5 Scale Drawings & Models

    6.6 Convert Between Percent & Fractions

    6.7 Solving Percent Problems

    6.8 Markups, Discounts, & Tax Problems

  • Pre-Algebra, semester two

    Recommended Ages: Middle & High School Students

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Linear Functions & Graphing

    1.1 Identifying a Linear Equation

    1.2 Solving Literal Equations

    1.3 Identifying Functions

    1.4 Graphing Functions from Tables

    1.5 Graphing Lines: y =mx+b

    1.6 Graphing Lines in Standard Form (Using Intercepts)

    1.7 Graphs with Zero or Undefined Slopes

    1.8 Scatterplots

    1.9 Systems of Equations

    1.10 Graphing Linear Inequalities

    2. Intro to Geometry

    2.1 Points, Lines, & Planes

    2.2 Angle Pairs

    2.3 Identifying Parallel and Perpendicular Lines

    2.4 Polygons

    2.5 Circles

    2.6 Translations in the xy Coordinate Plane

    2.7 Reflections in the Coordinate Plane

    2.8 The Distance Formula

    2.9 The Midpoint Formula

    3. Area & Volume

    3.1 Area of Rectangles & Triangles

    3.2 Area of Parallelograms & Trapezoids

    3.3 Area & Circumference of Circles

    3.4 Surface Area of Prisms & Pyramids

    3.5 Volume of Prisms

    3.6 Volume of Pyramids

    3.7 Area & Volume of Cylinders

    3.8 Area and Volume of Cones

    3.9 Area and Volume of Spheres

    4. Right Triangles

    4.1 Simplifying Square Roots

    4.2 The Pythagorean Theorem

    4.3 Similar Triangles

    4.4 Special Triangles

    4.5 Sine, Cosine, & Tangent

    4.6 Using Sin, Cos, & Tan in Real Life

    5. Intro to Statistics

    5.1 Measures of Central Tendency: Mean, Median, Mode, & Range

    5.2 Dot Plots

    5.3 Histograms

    5.4 Box & Whisker Plots

    5.5 Probability: Independent and Dependent Events

    5.6 The Fundamental Counting Principle

    5.7 Permutations

    5.8 Combinations

    5.9 Compounding Interest

    6. Beyond Linear Functions & Polynomials

    6.1 Arithmetic Sequences

    6.2 Geometric Sequences

    6.3 Quadratic Functions & Parabolas

    6.4 Graphs of Absolute Values

    6.5 Exponential Growth vs. Decay

    6.6 Adding & Subtracting Polynomials

    6.7 Multiplying Binomials

  • Algebra 1, semester one

    Recommended Ages: 14 and Up

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. The Building Blocks of Algebra

    1.1 Variables and Expressions

    1.2 Adding and Subtracting Real Numbers

    1.3 Multiplying and Dividing Real Numbers

    1.4 Powers and Exponents

    1.5 Roots and Irrational Numbers

    1.6 Simplifying Expressions & the Distributive Property

    2. Solving Linear Equations

    2.1 Solving One-Step Equations

    2.2 Solving Multi-Step Equations

    2.3 Solving Equations With Variables on Both Sides of the Equal Sign

    2.4 Literal Equations - Solving for a Particular Variable

    2.5 Solving Proportions

    2.6 Solving Absolute Value Equations

    3. Solving Linear Inequalities

    3.1 Writing and Graphing Inequalities

    3.2 Solving Inequalities Using Addition or Subtraction

    3.3 Solving Inequalities Using Multiplication or Division

    3.4 Solving Multi-Step Inequalities

    3.5 Solving Compound Inequalities

    3.6 Solving Absolute Value Inequalities

    4. Graphing Linear Functions

    4.1 Functions

    4.2 Function Notation

    4.3 Linear Functions: y = mx + b

    4.4 Graphing Linear Equations in Slope-Intercept Form

    4.5 Graphing Linear Equations in Standard Form Using Intercepts

    4.6 Direction Variation - In Real Life

    4.7 Transformations of Graphs of Linear Functions

    5. Writing Linear Functions

    5.1 Writing Linear Equations in Slope-Intercept Form

    5.2 Writing Linear Equations in Point-Slope Form

    5.3 Writing Linear Equations in Standard Form

    5.4 Slopes of Parallel and Perpendicular Lines

    ​5.5 Writing Equations of Parallel and Perpendicular Lines

    5.6 Scatter Plots and Lines and Best Fit

    5.7 Arithmetic Sequences - nth term and the sum of n terms

    6. Solving Systems of Linear Equations

    6.1 Solving Systems of Linear Equations by Graphing

    6.2 Solving Systems of Linear Equations by Substitution

    6.3 Solving Systems of Linear Equations by Elimination (aka the Addition Method)

    6.4 Solving Special Systems of Linear Equations

    6.5 Graphing Linear Inequalities in Two Variables

    6.6 Solving Systems of Linear Inequalities

  • Algebra 1, semester two

    Recommended Ages: 14 and Up

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Exponential Functions & Sequences

    1.1 Integer Exponents

    1.2 Rational Exponents & Radicals

    1.3 Properties of Exponents

    1.4 Exponential Functions & Graphs

    1.5 Exponential Growth vs. Decay

    1.6 Exponential Growth & Decay (Real Life Situations)

    1.7 Geometric Sequences

    1.8 Infinite Geometric Series (the sum of)

    2. Polynomial Equations & Factoring

    2.1 Adding & Subtracting Polynomials

    2.2 Multiplying Polynomials

    2.3 Special Products of Polynomials

    2.4 Dividing Polynomials - Long Division

    2.5 Dividing Polynomials - Synthetic Division

    2.6 Solving Polynomial Equations in Factored Form

    2.7 Factoring x^2+bx+c

    2.8 Factoring ax^2+bx+c

    2.9 Factoring Special Products

    3. Graphing Quadratic Functions

    3.1 Graphing f(x)=ax^2

    3.2 Graphing Quadratics in Vertex Form

    3.3 Graphing Quadratics in Standard Form

    3.4 Graphing Quadratics in Intercept Form

    3.5 Comparing Linear, Exponential, & Quadratic Functions

    4. Solving Quadratic Equations

    4.1 Properties of Radicals

    4.2 Solving Quadratic Equations by Graphing

    4.3 Solving Quadratic Equations Using Square Roots

    4.4 Solving Quadratic Equations by Completing the Square

    4.5 Solving Quadratic Equations by Using the Quadratic Formula

    4.6 The Discriminant

    5. Rational Functions & Equations

    5.1 Inverse Variation

    5.2 Rational Functions

    5.3 Simplifying Rational Expressions

    5.4 Multiplying Rational Expressions

    5.5 Dividing Rational Expressions

    5.6 Adding & Subtracting Rational Expressions

    5.7 Solving Rational Equations

    6. Radical Functions

    6.1 Square Root Functions

    6.2 Simplifying Radical Expressions

    6.3 Adding & Subtracting Radical Expressions

    6.4 Multiplying & Dividing Radical Expressions

    6.5 Solving Radical Equations

  • Algebra 2, semester one

    Recommended Ages: 14 and Up

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Linear Functions

    1.1 Transformations of Linear Functions

    1.2 Transformations of Absolute Value Functions

    1.3 Linear Functions in Real Life

    1.4 Solving Linear Systems

    2. Quadratic Functions

    2.1 Transformations of Quadratic Functions

    2.2 Characteristics of Quadratic Functions - Vertex Form

    2.3 Characteristics of Quadratic Functions - Standard & Intercept Form

    2.4 Writing Quadratic Equations

    3. Quadratic Equations and Complex Numbers

    3.1 Complex Numbers

    3.2 Solving Quadratic Equations - Square Root Method

    3.3 Solving Quadratic Equations - Factor Method

    3.4 Solving Quadratic Equations - Completing the Square

    3.5 Solving Quadratic Equations - The Quadratic Formula

    3.6 Solving Linear Systems with Three Variables

    4. Polynomial Functions

    4.1 Adding & Subtracting Polynomials

    4.2 Multiplying Polynomials

    4.3 Dividing Polynomials

    4.4 Graphing Polynomials Functions

    4.5 Transformations of Polynomial Functions

    4.6 Factoring Polynomials

    4.7 Solving Polynomial Equations

    5. Rational Exponents & Radical Functions

    5.1 Nth root and Rational Functions

    5.2 Properties of Rational Exponents and Radicals

    5.3 Graphing Radical Functions

    5.4 Solving Radical Equations

    ​5.5 Operations with Functions

    5.6 Finding the Inverse of a Function

    6. Exponential and Logarithmic Functions

    6.1 Exponential Growth and Decay Functions

    6.2 The Natural Base e

    6.3 Converting between Natural and Logarithmic Functions

    6.4 Evaluating Logarithms

    6.5 Transformations of Exponential and Logarithmic Functions

    6.6 Properties of Logarithms

    6.7 Solving Exponential and Logarithmic Equations

  • Algebra 2, semester two

    Recommended Ages: 14 and Up

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Rational Functions

    1.1 Inverse Variation

    1.2 Graphing Rational Functions

    1.3 Multiplying and Dividing Rational Functions

    1.4 Adding and Subtracting Rational Expressions

    1.5 Solving Rational Equations

    2. Sequence and Series

    2.1 Intro to Sequence and Series

    2.2 Arithmetic Sequence and Series

    2.3 Geometric Sequences and Series

    2.4 Finding Sums of Infinite Geometric Series

    3. Trigonometric Ratios and Functions

    3.1 Right Triangle Trigonometry

    3.2 Angles and Radian Measures

    3.3 The Unit Circle

    3.4 Graphing Sine, Cosine, & Tangent Functions

    3.5 Graphing Cotangent, Secant, & Cosecant Functions

    3.6 Trig Identities: Reciprocal & Pythagorean

    3.7 Trig Identities: Cofunctions & Even/Odd Functions

    3.8 Using Sum & Difference Formulas

    4. Probability

    4.1 Sample Space and Probability

    4.2 Independent and Dependent Events

    4.3 Two-Way Tables

    4.4 Probability of Compound Events (Disjoint & Overlapping)

    4.5 Permutations and Combinations

    4.6 Binomial Distributions

    5. Data Analysis and Statistics

    5.1 Normal Distributions

    5.2 Populations vs. Samples

    5.3 Collecting Data

    5.4 Experimental Design

    ​5.5 Analyzing Sample Surveys

    5.6 Analyzing Results from Experiments

  • Geometry, Semester 1.

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Intro to Basic Geometry

    1.1 Points, Lines, and Planes

    1.2 Measuring Segments

    1.3 Using Midpoint and Distance Formulas

    1.4 Perimeter and Area in the Coordinate Plane

    1.5 Measuring Angles

    1.6 Pairs of Angles

    2. Reasoning & Proofs

    2.1 Deductive vs. Inductive Reasoning

    2.2 Conditional Statements

    2.3 Point, Line, & Plane Postulates

    2.4 Reflexive, Symmetric, & Transitive Properties

    2.5 Different Types of Proofs

    2.6 Indirect Proofs

    3. Parallel Lines, Perpendicular Lines, Transversals, & Angles

    3.1 Types & Parts of Angles

    3.2 Angle Relationships

    3.3 Parallel Lines & Transversals

    3.4 Parallel & Perpendicular Lines

    4. Transformations

    4.1 Translations

    4.2 Reflections

    4.3 Rotations

    4.4 Dilations

    4.5 Compositions of Transformations

    5. Congruent Triangles

    5.1 Definition of Congruent Figures

    5.2 Proving Triangles Congruent by SSS & SAS

    5.3 Proving Triangles Congruent by ASA, AAS, & HL

    5.4 CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

    ​5.5 Isosceles and Equilateral Triangles

    6. Triangles

    6.1 The Triangle Midsegment Theorem

    6.2 The Circumcenter - Perpendicular Bisectors of a Triangle

    6.3 Angle Bisectors

    6.4 The Incenter- Bisectors in Triangles

    6.5 The Centroid- Medians of Triangles

    6.6 The Orthocenter - Altitudes of Triangles

    6.7 Inequalities in One Triangle

    6.8 Inequalities in Two Triangles

  • Geomtery, Semester 2.

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Quadrilaterals & Polygons

    1.1 The Polygon Angle-Sum Theorems

    1.2 Properties of Parallelograms

    1.3 Properties o Rhombuses & Kites

    1.4 Properties of Rectangles & Squares

    1.5 Properties of Trapezoids

    1.6 Coordinate Geometry

    2. Similarity

    2.1 Similar Polygons

    2.2 Proving Triangle Similarity - AA

    2.3 Proving Angle Similarity- SSS

    2.4 Proving Angle Similarity - SAS

    2.5 Similarity in Right Triangles

    2.6 Proportions in Triangles

    3. Intro to Trigonometry

    3.1 The Pythagorean Theorem

    3.2 Special Right Triangles

    3.3 Sin, Cos, Tan

    3.4 Angles of Elevation and Depression

    3.5 Solving Right Triangles

    3.6 Area of Regular Polygons (Using Trigonometry)

    3.7 Law of Sines & Law of Cosines

    4. Circles

    4.1 Radius, Chord, Diameter, Secant, & Tangent

    4.2 Finding Arc Measures

    4.3 Finding Circumference & Arc Lengths

    4.4 Chord Theorems

    4.5 Inscribed Angles

    4.6 Angle Relationships in Circles

    4.7 Segment Relationships in Circles

    4.8 Finding Circle and Sector Areas

    4.9 Circles in the Coordinate Plane

    5. Area & Volume

    5.1 Areas of Regular Polygons

    5.2 Surface Areas of Prisms and Cylinders

    5.3 Surface Areas of Pyramids and Cones

    5.4 Volumes of Prisms and Cylinders

    ​5.5 Volumes of Pyramids and Cones

    5.6 Surface Area and Volumes of Spheres

    5.7 Areas and Volumes of Similar Solids

    6. Probability

    6.1 Sample Space & Probability

    6.2 Independent & Dependent Events

    6.3 Two-Way Tables

    6.4 Permutations & Combinations

    6.5 Binomial Distribution

  • Integrated Math, semester one

    Recommended Ages: 14 and Up

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Solving Equations and Inequalities

    1.1 The Distributive Property

    1.2 Solving One-Step Equations

    1.3 Solving Multi-Step Equations

    1.4 Solving Equations with Variables on Both Sides

    ​1.5 Solving Literal Equations

    1.6 Solving Proportions

    1.7 Solving Simple Inequalities

    1.8 Solving Multi-Step Inequalities

    1.9 Compound Inequalities

    1.10 Solving Absolute Value Equations

    1.11 Solving Absolute Value Inequalities

    2. Functions

    2.1 Relations vs. Functions

    2.2 Domain and Range

    ​2.3 Function Notation

    2.4 Graphing a Function Rule

    2.5 Writing a Function Rule

    2.6 Arithmetic Sequences

    3. Linear Functions

    3.1 Finding Slopes of Linear Functions

    3.2 Graphing Lines: y = mx + b

    3.3 Point-Slope Form

    3.4 Standard Form

    3.5 Slopes of Parallel and Perpendicular Lines

    3.6 Graphing Absolute Value Functions

    4. Systems of Equations and Inequalities

    4.1 Solving Systems of Equations: The Graphing Method

    4.2 Solving Systems of Equations: The Substitution Method

    ​4.3 Solving Systems of Equations: The Elimination Method​

    4.4 Graphing Linear Inequalities

    4.5 Graphing and Solving Systems of Linear Inequalities

    5. Exponential and Radical Functions

    5.1 Zero and Negative Exponents

    5.2 Exponential Functions

    5.3 Exponential Growth and Decay

    5.4 Solving Exponential Equations

    5.5 Geometric Sequences

    5.6 Combining Functions

    5.7 Simplifying Radicals

    ​ 5.8 Radical and Piecewise Functions

  • Integrated Math, semester two

    Recommended Ages: 14 and Up

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Data Analysis

    1.1 Frequency and Histograms

    1.2 Measures of Central Tendency and Dispersion

    1.3 Box-and-Whisker Plots

    1.4 Scatter Plots and Trend Lines

    1.5 Two-Way Frequency Tables​

    2. Tools of Geometry

    2.1 Points, Lines, and Planes

    2.2 Measuring Segments

    2.3 Measuring Angles

    2.4 Exploring Angle Pairs

    2.5 Midpoint and Distance in the Coordinate Plane

    3. Transformations

    3.1 Translations

    3.2 Reflections

    3.3 Rotations

    3.4 Compositions of Transformations

    4. Congruent Triangles

    4.1 Definition of Congruent Figures

    4.2 Proving Triangles Congruent by SSS and SAS

    4.3 Proving Triangles Congruent by ASA, AAS, & HL

    4.4 CPCTC

    4.5 Isosceles and Equilateral Triangles

    5. Perimeters and Areas

    5.1 Perimeter and Area in the Coordinate Plane

    5.2 Areas of Parallelograms and Triangles

    5.3 Areas of Trapezoids, Rhombuses, and Kites

    5.4 Polygons in the Coordinate Plane

    6. Reasoning and Proof

    6.1 Deductive vs. Inductive Reasoning

    6.2 Conditional Statements

    6.3 Point, Line, and Plane Postulates

    6.4 Reflexive, Symmetric, and Transitive Properties

    6.5 An Intro to Different Types of Proofs

  • This course is the equivalent of the first semester of Integrated Math 2.

    Topics include: lines and angle theorems, triangles, quadrilaterals, the concept of similarity and its practical implications, right triangles & trigonometry, circles, and the surface area and volume of 3 dimensional shapes.

    The course is designed to be aligned with state and national common core standards.

  • 1. Lines and Angle Theorems

    1.1 Types & Parts of Angles

    1.2 Angle Relationships

    1.3 Proving Angles Congruent

    1.4 Parallel Lines and Transversals

    1.5 Parallel and Perpendicular Lines

    2. Triangles

    2.1 The Triangle Midsegment Theorem

    2.2 The Circumcenter- Perpendicular Bisectors of a Triangle

    2.3 Angle Bisectors

    2.4 The Incenter (Bisectors in Triangles)

    2.5 The Centroid (Medians of Triangles)

    2.6 The Orthocenter (Altitudes of Triangles)

    2.7 Indirect Proofs

    2.8 Inequalities in One Triangle

    2.9 Inequalities in Two Triangles

    3. Quadrilaterals

    3.1 The Polygon Angle-Sum Theorems

    3.2 Properties of Parallelograms

    3.3 Properties of Rhombuses and Kites

    3.4 Properties of Rectangles, and Squares

    3.5 Properties of Trapezoids

    3.6 Coordinate Geometry

    4. Similarity

    4.1 Similar Polygons

    4.2 Dilations

    4.3 Proving Triangles Similar by AA

    4.4 Proving Triangles Similar by SSS

    4.5 Proving Triangles Similar by SAS

    4.6 Similarity in Right Triangles

    4.7 Proportions in Triangles

    5. Right Triangles and Trigonometry

    5.1 The Pythagorean Theorem

    5.2 Special Right Triangles

    5.3 Sin, Cos, Tan

    5.4 Angles of Elevation and Depression

    5.5 Areas of Regular Polygons using Trig

    6. Circles

    6.1 Radius, Chord, Diameter, Secant, & Tangent

    6.2 Finding Arc Measures

    6.3 Finding Circumference and Arc Lengths

    6.4 Chord Theorems

    6.5 Inscribed Angles

    6.6 Angle Relationship in Circles

    6.7 Segment Relationships in Circles

    6.8 Finding Circle and Sector Areas

    6.9 Circles in the Coordinate Plane

    7. Surface Area and Volume

    7.1 Areas of Regular Polygons

    7.2 Surface Areas of Prisms and Cylinders

    7.3 Surface Areas of Pyramids and Cones

    7.4 Volumes of Prisms and Cylinders

    7.5 Volumes of Pyramids and Cones

    7.6 Surface Areas and Volumes of Spheres

    7.7 Areas and Volumes of Similar Solids

  • This course is the second half (semester) of Integrated Math 2 and is aligned with standards. See the Table of Contents for all topics covered in this course. We hope you love the course.

  • 1. Properties of Exponents with Rational Exponents

    1.1 Multiplication Properties of Exponents

    1.2 Division Properties of Exponents

    1.3 Rational Exponents and Radicals

    1.4 Adding and Subtracting Polynomials

    1.5 Parallel and Perpendicular Lines

    1.6 Multiplying Binomials

    1.7 Special Products of Binomials

    2. Factoring Polynomials

    2.1 Factoring Polynomials (GCF)

    2.2 Factoring x2 + bx + c

    2.3 Factoring ax2 + bx + c

    2.4 Factoring Grouping Problems

    2.5 Factoring Difference of Squares

    2.6 Factoring Difference and Sum of Cubes

    3. Graphing Quadratic Functions

    3.1 Graphing y = ax^2

    3.2 Graphing y = ax^2 + c

    3.3 Graphing Quadratic Functions in Standard Form

    3.4 Graphing Quadratic Functions in Vertex Form

    3.5 Graphing Quadratic Functions in Intercept Form

    3.6 Comparing Linear, Quadratic, and Exponential Functions

    4. Solving Quadratic Functions

    4.1 Solving Quadratic Equations by Graphing

    4.2 Solving Quadratic Equations by the Square Root Method

    4.3 Solving Quadratic Equations by the Factoring Method

    4.4 Solving Quadratic Equations by Completing the Square

    4.5 The Quadratic Formula and the Discriminant

    4.6 Imaginary & Complex Numbers

    4.7 Solving Quadratic Equations with Complex Solutions

    5. Probability

    5.1 Sample Space and Probability

    5.2 Independent and Dependent Events

    5.3 Two Way Tables

    5.4 Permutations and Combinations

    5.5 Binomial Distributions

    6. Exponential, Radical, and Piecewise Functions

    6.1 Exponential Functions

    6.2 Radical Functions

    6.3 Absolute Value Functions

    6.4 Piecewise Functions

    6.5 Combining Functions

    6.6 Finding the Inverse of a Function

    7. Arithmetic and Geometric Sequences

    7.1 Arithmetic Sequences - the nth term

    7.2 Arithmetic Sequences - the sum of n terms

    7.3 Geometric Sequences - the nth term

    7.4 Geometric Sequences - the sum of n terms

    7.5 Infinite Geometric Sequence

  • Integrated Math 3A, semester oneRecommended Ages: High School StudentsRecommended Number of Credits: 5- (equivalent to one semester)

  • 1. Geometry in Real Life

    1.1 Area and Density

    1.2 Volume and Density

    1.3 Comparing Areas & Volumes

    1.4 Cross Sections of Solids

    1.5 Solids of Revolutions

    2. Linear and Quadratic Functions

    2.1 Transformations and Linear Functions

    2.2 Transformations of Absolute Value Functions

    2.3 Transformations of Quadratic Functions

    2.4 Linear Functions in Real Life

    2.5 Solving Linear Systems with Three Variables

    3. Polynomial Functions

    3.1 Adding & Subtracting Polynomials

    3.2 Multiplying Polynomials

    3.3 Dividing Polynomials

    3.4 Graphing Polynomial Functions

    3.5 Transformations of Polynomial Functions

    3.6 Factoring Polynomials

    3.7 Solving Polynomial Equations

    4. Rational Exponents and Radical Functions

    4.1 Nth Roots and Rational Exponents

    4.2 Properties of Rational Exponents and Radicals

    4.3 Graphing Radical Functions

    4.4 Solving Radical Equations

    4.5 Operations with Functions

    4.6 Finding the Inverse of a Function

    5. Exponential and Logarithmic Functions

    5.1 The Natural Base e

    5.2 Converting Between Exponential & Logarithmic Forms

    5.3 Evaluating Logarithms

    5.4 Transformations of Exponential and Logarithmic Functions

    5.5 Properties of Logarithms

    5.6 Solving Exponential and Logarithmic Equations

  • Integrated Math 3B, semester twoRecommended Ages: High School StudentsRecommended Number of Credits: 5- (equivalent to one semester)

  • 1. Rational Functions

    1.1 Inverse Variation

    1.2 Graphing Rational Functions

    1.3 Multiplying and Dividing Rational Expressions

    1.4 Adding and Subtracting Rational Expressions

    1.5 Solving Rational Equations

    2. Sequence and Series

    2.1 Intro to Sequences and Series

    2.2 Arithmetic Sequence and Series

    2.3 Geometric Sequence and Series

    2.4 Finding Sums of Infinite Geometric Series

    3. Trigonometric Ratios and Functions

    3.1 Right Triangle Trigonometry

    3.2 Angles and Radian Measures

    3.3 The Unit Circle

    3.4 Graphing Sine, Cosine, & Tangent Functions

    3.5 Graphing Cotangent, Secant, & Cosecant Functions

    4. Trigonometric Identities and Formulas

    4.1 Using Trigonometric Identities

    4.2 Using Sum and Difference Formulas

    4.3 Law of Sines

    4.4 Law of Cosines

    5. Statistics and Data Analysis

    5.1 Understanding Normal Distributions

    5.2 Populations, Samples, & Hypothesis

    5.3 Collecting Data

    5.4 Experimental Design

    ​5.5 Inferences from Sample Surveys

    5.6 Inferences from Experiments