1. Ratios, Rates, and Percentages

1.1  Introducing Ratios

1.2  Equivalent Ratios & Tape Diagrams

1.3  Rates

1.4  Unit Rates

1.5  Unit Conversion

1.6  Introducing Percentages

2. Operations with Fractions, Decimals, and Whole Numbers

2.1  Division as Multiplication

2.2  Scaling Shrinking Rectangle

2.3  Adding and Subtracting Decimals with the Standard Method

2.4  Multiplying Decimals with the Standard Method

2.5  Decimals Divided by Decimals

2.6  Using Greatest Common Factor

2.7  Using Least Common Multiple

3. Introduction to Graphing and Algebra Expressions

3.1  Points on the Number Line

3.2  Points on the Coordinate Plane

3.3  Expressions

3.4  Using Exponents

3.5  Order of Operations

3.6  Letters Stand for Numbers

4. Equations and Inequalities

4.1  Equivalent Expressions

4.2  Solving Equations

4.3  Equivalent Ratio Equations

4.4  Writing Equations

4.5  Making Tables and Graphs

4.6  Comparing Rational Numbers on a Number Line

4.7  Inequalities on the Number Line

4.8  Inequality Solutions

5. Surface Area and Volume

5.1  Area of Quadrilaterals

5.2  Area of Triangles

5.3  Shapes in the Coordinate Plane

5.4  Surface Area

5.5  Volume of Prisms

6. Statistics

6.1  Dot Plots

6.2  Histograms

6.3  Mean, Median, Mode and Range

1. Ratios, Proportional Relationships, and Rational Numbers

1.1  Unit Rate and Proportionality

1.2  Using Equations to Represent Proportional Relationships

1.3  Proportionality in Geometry: Scale Drawings

1.4  Modeling the Addition of Integers

1.5  Multiplying Rational Numbers

1.6  Converting Between Fractions and Decimals

2. Expressions, Equations, and Inequalities

2.1  Combining Like Terms

2.2  Identifying Equivalent Expressions

2.3  Writing Two-Step Equations

2.4  Solving Two-Step Equations

3. Percents and Scale

3.1  Understanding Percent

3.2  Problem-Solving with Percents

3.3  Solving Problems Involving Percent Increase and Decrease

3.4  Solving Problems Involving Taxes, Commissions, and Fees

3.5  Scale Drawings and Percent

4. Angles, Area, and Volume

4.1  Special Angle Pairs

4.2  Area and Circumference of Circles from Radius and Diameter

4.3  Solving Problems Involving Circles

4.4  Surface Area of Triangular Prisms

4.5  Volume of Cubes and Rectangular Prisms

4.6  Volume of Triangular Prisms

5. Probability and Statistics

5.1  Understanding Likelihood

5.2  Theoretical Probability Models

5.3  Tree Diagrams for Simple Events

5.4  Visually Comparing Two Data Distributions

5.5  Introduction to Sampling

5.6  Using Sample Data to Make Estimates about Populations

1. Congruence and Similarity

1.1  Introduction to Rigid Motions

1.2  Defining Congruence

1.3  Translations on the Coordinate Plane

1.4  Angles and Parallel Lines

1.5  Angles & Triangles

1.6  Properties of Dilations

1.7  Defining Similarity

2. Linear Equations and Linear Relationships

2.1  Writing Equations with Variables

2.2  Linear Equations With Variables on Both Sides

2.3  Graphing Proportional Relationships

2.4  Defining Slope

3. Systems of Equations

3.1  Understanding Systems of Linear Equations

3.2  Solving Systems of Equations by Graphing

3.3  Solving Systems of Equations Using Substitution

3.4  Solving Systems of Equations Using Elimination

4. Patterns and Associations in Data

4.1  Representing Data in Scatter Plots

4.2  Linear Patterns in Scatter Plots

4.3  Fitting a Line to Data

5. Functions

5.1  Introduction to Functions

5.2  Domain and Range

5.3  Interpreting Graphs of Functions

5.4  Different Representations of Functions

6. Volume

6.1  Volume of Cylinders

6.2  Volume of Cones

6.3  Volume of Spheres

7. Integer Exponents and Scientific Notation

7.1  The Power of 0 and Negative Exponents

7.2  Comparing Numbers in Scientific Notation & Choosing Reasonable Units

8. Irrational Numbers and the Pythagorean Theorem

8.1  Understanding Perfect Squares and Perfect Cubes

8.2  Introduction to Square Roots and Cube Roots

8.3  Introduction to Irrational Numbers

8.4  Introduction to The Pythagorean Theorem

8.5  Proofs of the Pythagorean Theorem

1. Introduction to Functions

1.1  Linear Functions

1.2  Representing Linear Functions

1.3  Rate of Change

1.4  Introduction to Quadratic Models

1.5  Comparing Function Types

2. Expressions

2.1  Number Types

2.2  Exponential Expressions

2.3  Distribution and Factoring

3. Functions

3.1  Defining Functions

3.2  Graphs of Functions and Non-Functions

3.3  Domain and Range

3.4  Compound Interest

3.5  The Quadratic Model

3.6  Comparing Linear, Quadratic, and Exponential Models

4. Equations and Inequalities

4.1  Absolute Value Equations

4.2  Systems of Linear Equations

4.3  Graphing Linear Inequalities

4.4  Quadratics with Constant Terms

4.5  Solving by Factoring

4.6  Exponential Functions and Equations

5. Data, Statistics, and Probability

5.1  Histograms and Frequency Distributions

5.2  Mean and Standard Deviation

5.3  Sampling and the Normal Distribution

5.4  Correlation and Causation

1. Polynomials

1.1  Properties of Polynomials

1.2  Multiplying Polynomials

1.3  Dividing Polynomials

2. Functions

2.1  Functions

2.2  Function Transformations

2.3  Piecewise Defined Functions

2.4  Graphing Functions

2.5  Inverse Functions

3. Quadratic Functions

3.1  Roots of Quadratic Functions

3.2  Quadratic Inequalities

3.3  Modeling with Quadratic Functions

3.4  Rational and Irrational Roots

3.5  Complex Numbers

4. Polynomial Functions

4.1  Factoring Polynomials Using Quadratic Methods

4.2  Factoring Higher Degree Polynomials

4.3  Graphing Polynomial Functions

4.4  Roots of Polynomial Equations

5. Exponents & Logarithmic Functions

5.1  Exponential Growth & Decay Functions

5.2  Logarithms

5.3  Logarithmic Functions

5.4  Transformations of Log Functions

1. The Three Dimensions

1.2  Angles - Definition, Types, Interactives and Examples

1.3  Triangles - Definition, Classification, Interactives and Examples

1.4  Circles - Definition, Formulae, Interactives and Examples

1.5  Volume of Solids - Definition, Formulae, Interactives and Examples

1.6  Cross Sections of Solids

2. Rigid Transformations

2.1  Transformations in the Plane

2.2  Translations

2.3  Reflections

2.4  Rotations

2.5  Composite Transformations

3. Congruence

3.1  Definition of Congruence

3.2  ASA and AAS Triangle Congruence

3.3  Applications of Congruent Triangles

4. Reasoning and Proof

4.1  Theorems and Proofs

4.2  Theorems about Lines and Angles

4.3  Theorems about Concurrence in Triangles

4.4  Applications of Triangle Theorems

5. Similarity

5.1  Definition of Similarity

5.2  Theorems Involving Similarity

5.3  Applications of Similar Triangles

6. Trigonometry

6.1  Tangent Ratio

6.2  Sine and Cosine Ratios

6.3  Triangles in Applied Problems

7. Circles

7.1  Circles and Similarity

7.2  Circumference of a Circle and Area of a Circle - Formula, Interactives and Examples

7.3  Sector Area

8. Three Dimensions

8.1  Cylinders

8.2  Spheres

8.3  Connections Between Two and Three Dimensions

8.4  Modeling in Three Dimensions

9. Conics and Coordinate Geometry

9.1  Slope of Parallel and Perpendicular Lines

9.2  The Distance Formula

9.3  Points that Partition Line Segments

9.4  Conic Sections

1. Introduction to Trigonometry

1.1  Lengths of Triangle Sides Using the Pythagorean Theorem

1.2  Identifying Sets of Pythagorean Triples

1.3  Pythagorean Theorem to Classify Triangles

1.4  Pythagorean Theorem to Determine Distance

1.5  Lengths of Sides in Isosceles Right Triangles

1.6  Relationships of Sides in 30-60-90 Right Triangles

1.7  Special Triangle Ratios

1.8  Sine, Cosine, and Tangent Functions

1.9  Secant, Cosecant, and Cotangent Functions

1.10  Pythagorean Theorem for Solving Right Triangles

1.11  Inverse Trigonometric Functions

1.12  Alternate Formula for the Area of a Triangle

1.13  Angles of Elevation and Depression

1.14  Right Triangles, Bearings, and other Applications

1.15  Angles of Rotation in Standard Positions

1.16  Coterminal Angles

1.17  Trigonometric Functions and Angles of Rotation

1.18  Reference Angles and Angles in the Unit Circle

1.19  Trigonometric Functions of Negative Angles

1.20  Trigonometric Functions of Angles Greater than 360 Degrees

1.21  Reciprocal Identities

1.22  Domain, Range, and Signs of Trigonometric Functions

1.23  Quotient Identities

1.24  Cofunction Identities and Reflection

1.25  Pythagorean Identities

2. Graphs of Trigonometric Functions

2.1  Radian Measure

2.2  Conversion between Degrees and Radians

2.3  Six Trigonometric Functions and Radians

2.4  Rotations in Radians

2.5  Length of an Arc

2.6  Area of a Sector

2.7  Length of a Chord

2.8  Angular Velocity

2.9  Sine and Cosecant Graphs

2.10  Cosine and Secant Graphs

2.11  Tangent and Cotangent Graphs

2.12  Vertical Translations

2.13  Horizontal Translations or Phase Shifts

2.14  Amplitude

2.15  Period and Frequency

2.16  Amplitude, Period, and Frequency

2.17  Trigonometric Identities and Equations

3. Trigonometric Identities

3.1  Even and Odd Identities

3.2  Proofs of Trigonometric Identities

3.3  Simpler Form of Trigonometric Equations

3.4  Trigonometric Equations Using Factoring

3.5  Trigonometric Equations Using the Quadratic Formula

3.6  Cosine Sum and Difference Formulas

3.7  Sine Sum and Difference Formulas

3.8  Tangent Sum and Difference Formulas

3.9  Applications of Sum and Difference Formulas

3.10  Double Angle Identities

3.11  Half Angle Formulas

3.12  Trigonometric Equations Using Half Angle Formulas

3.13  Sum to Product Formulas for Sine and Cosine

3.14  Product to Sum Formulas for Sine and Cosine

3.15  Triple-Angle Formulas and Linear Combinations

4. Inverse Trigonometric Functions

4.1  Definition of the Inverse of Trigonometric Ratios

4.2  Exact Values for Inverse Sine, Cosine, and Tangent

4.3  Inverse of Functions through Algebraic Manipulation

4.4  Inverses by Mapping

4.5  Inverses of Trigonometric Functions

4.6  Composition of Trig Functions and Their Inverses

4.7  Definition of Inverse Reciprocal Trig Functions

4.8  Composition of Inverse Reciprocal Trig Functions

4.9  Trigonometry in Terms of Algebra

4.10  Applications of Inverse Trigonometric Functions

5. Triangles and Vectors

5.1  Sides of an Oblique Triangle

5.2  Determination of Unknown Angles Using Law of Cosines

5.3  Identify Accurate Drawings of Triangles

5.4  Derivation of the Triangle Area Formula

5.5  Heron's Formula

5.6  Determination of Unknown Triangle Measures Given Area

5.7  Angle-Angle-Side Triangles

5.8  Angle-Side-Angle Triangles

5.9  Possible Triangles with Side-Side-Angle

5.10  Law of Sines

5.11  Law of Cosines

5.12  General Solutions of Triangles

5.13  Directed Line Segments

5.14  Vector Addition

5.15  Vector Subtraction

5.16  Resultant of Two Displacements

5.17  Vector Multiplied by a Scalar

5.18  Translation of Vectors and Slope

5.19  Unit Vectors and Components

5.20  Resultant as the Sum of Two Components

5.21  Resultant as Magnitude and Direction

6. Polar System

6.1  Plots of Polar Coordinates

6.2  Distance Between Two Polar Coordinates

6.3  Transformations of Polar Graphs

6.4  Polar to Rectangular Conversions

6.5  Rectangular to Polar Conversions

6.6  Rectangular to Polar Form for Equations

6.7  Intersections of Polar Curves

6.8  Equivalent Polar Curves

6.9  Trigonometric Form of Complex Numbers

6.10  Product Theorem

6.11  Quotient Theorem

6.12  DeMoivre's Theorem

6.13  DeMoivre's Theorem and nth Roots

6.14  Equations Using DeMoivre's Theorem

6.15  Geometry of Complex Roots

1. Matter and Change

1.1  Matter, Mass, and Volume

1.2  Pure Substance

1.3  Physical Properties

1.4  Physical Change

1.5  Change of State

1.6  States of Matter

1.7  Mixture

1.8  Element

1.9  Compound

1.10  Chemical Change

1.11  Chemical Symbols and Formulas

1.12  Chemical Properties and Chemical Reactions

1.13  Reactants and Products

1.14  Recognizing Chemical Reactions

2. Measurements

2.1  SI Base Units

2.2  Metric Prefixes

2.3  Scientific Notation

2.4  Temperature and Temperature Scales

2.5  Dimensional Analysis

2.6  Density

2.7  Significant Figures

3. Atomic Structure

3.1  Law of Conservation of Mass

3.2  Dalton's Atomic Theory

3.3  Atom

3.4  Electron

3.5  Proton

3.6  Neutron

3.7  Atomic Nucleus

3.8  Atomic Number

3.9  Mass Number

3.10  Isotope

3.11  Atomic Mass Unit

3.12  Calculating Average Atomic Mass

4. Electrons in Atoms

4.1  Electromagnetic Spectrum

4.2  Wavelength and Frequency Calculations

4.3  Atomic Emission Spectra

4.4  Bohr's Atomic Model

4.5  Quantum Mechanical Atomic Model

4.6  Energy Level

4.7  Orbital

4.8  Electron Configurations

4.9  Valence Electrons

5. The Periodic Table

5.1  Mendeleev's Periodic Table

5.2  Periodic Law

5.3  Modern Periodic Table

5.4  Blocks of the Periodic Table

5.5  Periodic Trends: Atomic Radius

5.6  Ion

5.7  Periodic Trends: Ionization Energy

6. Chemical Nomenclature

6.1  Molecular Formula

6.2  Empirical Formula

6.3  Cation

6.4  Anion

6.5  Transition Metal Ions

6.6  The Stock System of Nomenclature

6.7  Naming Binary Ionic Compounds

6.8  Formulas for Binary Ionic Compounds

6.9  Polyatomic Ions - Naming and Formulas

7. Chemical Bonding

7.1  Electron Dot Diagrams

7.2  Octet Rule

7.3  Ionic Bond

7.4  Metallic Bond

7.5  Chemical Bond

7.6  Lewis Electron-Dot Structures

7.7  Single Covalent Bonds

7.8  Multiple Covalent Bonds

7.9  Bond Polarity

7.10  Polar Molecules

7.11  Van der Waals Forces

7.12  Hydrogen Bonding

8. The Mole

8.1  Avogadro's Number

8.2  Conversions Between Moles and Atoms

8.3  Molar Mass

8.4  Conversions Between Moles and Mass

8.5  Conversions Between Mass and Number of Particles

8.6  Conversions Between Moles and Gas Volume

9. Chemical Reactions

9.1  Chemical Reaction

9.2  Word Equations

9.3  Writing Chemical Equations

9.4  Balancing Chemical Equations

9.5  Combination Reactions

9.6  Decomposition Reactions

9.7  Combustion Reaction

9.8  Single-Replacement Reactions

9.9  Double-Replacement Reactions

9.10  Factors Affecting Reaction Rate

10. Stoichiometry

10.1  Mole Ratios

10.2  Mass-Mole Stoichiometry

10.3  Limiting Reactant

10.4  Determining the Limiting Reactant

10.5  Theoretical Yield and Percent Yield

11. The Behavior of Gases

11.1  Kinetic Molecular Theory

11.2  Gas Pressure

11.3  Atmospheric Pressure

11.4  Pressure Units and Conversions

11.5  Factors Affecting Gas Pressure

11.6  Boyle's Law

11.7  Charles's Law

11.8  Gay-Lussac's Law

11.9  Combined Gas Law

11.10  Avogadro's Law

11.11  Ideal Gas Law

12. Thermochemistry

12.1  Chemical Potential Energy

12.2  Heat

12.3  Exothermic Reaction

12.4  Endothermic Reaction

12.5  Heat Capacity and Specific Heat

12.6  Specific Heat Calculations

12.7  Enthalpy

13. Solutions, Acids, and Bases

13.1  Solute and Solvent

13.2  Molarity

13.3  Acid

13.4  Base

13.5  pH

13.6  Calculating pH

14. Nuclear Chemistry

14.1  Types of Radioactive Decay

14.2  Detection of Radioactivity

1. Introduction to Physics

1.1  Scope of Physics

1.2  Scientific Method

1.3  Scientific Measurement

1.4  Math Tools for Physics

1.5  Vector Addition

1.6  Graphical Methods of Vector Addition

2. Motion in One-Dimension

2.1  Position and Displacement

2.2  Average Velocity

2.3  Average Acceleration

2.4  Acceleration Due to Gravity

2.5  Position vs. Time Graphs

2.6  Velocity vs. Time Graphs

3. Forces and Newton's Laws of Motion

3.1  Weight

3.2  Friction

3.3  Connecting Newton's First and Second Laws

3.4  Newton's Third Law

4. Circular Motion and Gravity

4.1  Circular Motion

4.2  Centripetal Force

4.3  Newton's Universal Law of Gravity

4.4  Orbital Motion

4.5  Einstein's Theory of Gravity

5. Conservation Laws

5.1  Momentum and Impulse

5.2  Conservation of Momentum in One Dimension

5.3  Elastic and Inelastic Collisions

5.4  Potential Energy

5.5  Kinetic Energy

5.6  Conservation of Energy

6. Simple Machines

6.1  Work

6.2  Machine

6.3  Power

7. Harmonic Motion and Waves

7.1  Simple Harmonic Motion

7.2  Transverse Wave

7.3  Longitudinal Wave

7.4  Wave Speed

8. Sound

8.1  Sound Waves

8.2  Speed of Sound

8.3  Doppler Effect

9. Electromagnetic Radiation

9.1  Electromagnetic Waves

9.2  Electromagnetic Spectrum

9.3  Light and Color

10. Optics

10.1  Reflection

10.2  Refraction

11. Static Electricity

11.1  Electric Charge and Electric Force

11.2  Electric Fields

11.3  Coulomb’s Law

12. Electric Current

12.1  Voltage

12.2  Current

12.3  Ohm’s Law

13. Electric Circuits

13.1  Energy Transfer in Electric Circuits

13.2  Series Circuits

13.3  Parallel Circuits

14. Magnetism

14.1  Magnet

14.2  Earth as a Magnet

15. Electromagnetism

15.1  Electromagnet

15.2  Electric Motor

15.3  Generator

16. Modern Physics

16.1  Fundamental Particles

16.2  Atomic Forces

16.3  Bohr's Atomic Model

16.4  Quantum Mechanical Atomic Model

16.5  Radioactivity

16.6  Nuclear Reactions

16.7  Special Theory of Relativity

16.8  General Theory of Relativity