Math Topics

Postings on this site that are likely to be of interest to students, organized in sequence by topic where possible, are:

Being a Successful Math/Science Student

11 Ways To Do Better in Math

Studying to Understand vs Studying to Memorize

Successfully Asking Questions In Class

Learn the Game of Learning

Ten Skills Every Student Should Learn

Problems fall into four categories

Improve Your Math Grade: Use Scrap Paper

Math: Pen vs Pencil

Lost points on a problem? What to do…

Solving Math Problems At The Board

Advice from Steve Jobs

Getting the most out of SAT Practice Test books

Algebra and Linear Equations

What Is Algebra?

Summary: Algebra

Equivalence Deserves More Attention

Algebra Intro 1: Numbers and Variables

Algebra Intro 2: Addition

Algebra Intro 3: Subtraction

Algebra Intro 4: Negative Numbers, Zero, Absolute Values, and Opposites

Algebra Intro 5: Addition, Subtraction, and Terms

Algebra Intro 6: Multiplication

Algebra Intro 7: Properties of Multiplication

Algebra Intro 8: Division

Algebra Intro 9: Fractions, Reciprocals, and Properties of Division

Algebra Intro 10: Fractions and Multiplication

Algebra Intro 11: Dividing Fractions, Equivalent Fractions

Algebra Intro 12: Adding and Subtracting Fractions

Simplifying Fractions

Negative Fractions

Negative Differences

Operations are taught in pairs

Inverse Musings: + and –

Combining Like Terms


It’s True! 3x = (3)(x)

Inverse Musings: * and /

On the origin of algebra problems

Practice: One Step Linear Equation Problems

Practice: Two Step Linear Equation Problems

Practice: Three Step Linear Equation Problems

Practice: Ugly Linear Equation Problems

Summary: Linear Equations

Word Problems… !#$%@;*!!

Systems Of Linear Equations

Linear Systems: Why Does Linear Combination Work (Graphically)?

Quadratic and Exponential Equations

Why Quadratics?

Multiplying Polynomials and FFFT!

Quadratic Equations: How To Solve Them Algebraically

Procedures for “Completing the Square”

Keep Your Eye On The Variable

Summary: Roots and Rational Exponents


Polynomials and VEX Drive Motor Control


Function Notation

Function Transformations: Translation

Function Transformations: Dilations

Using Corresponding Points to Determine Dilation Factors and Translation Amounts

Domain, Range, and Co-Domain

Piecewise Functions and Relations

Solving Absolute Value Equations

Sequences and Series

Sigma Notation

Arithmetic Sequences and Series

Geometric Sequences and Series

Pi Notation

Interactive Graphs

Linear Functions

GeoGebraBook: Linear Functions, which contains:

Interactive Linear Function Graph: Slope-Intercept Form

Interactive Linear Function Graph: Point-Slope Form

Interactive Linear Function Graph: Standard Form

Quadratic Functions

GeoGebraBook: Quadratic Functions, which contains

Interactive Quadratic Function Graph: Factored Form

Interactive Quadratic Function Graph: Standard Form

Interactive Quadratic Function Graph: Standard Form – the effect of “b”

Interactive Quadratic Function Graph: Vertex Form

Exponential & Logarithmic Functions

GeoGebraBook: Exponential and Logarithmic Functions, which contains

Interactive Exponential Function Graph

Interactive Logarithmic Function Graph

Rational Functions

Interactive Rational Function Graph

Trigonometric Functions

GeoGebraBook: Unit Circle Symmetry

GeoGebraBook: Trig Functions, which contains

Interactive Unit Circle Graph

Interactive Sine Function Graph

Interactive Cosine Function Graph


Angle Measures

GeoGebraBook: Unit Circle Symmetry

GeoGebraBook: Trig Functions

Practice: Modeling Events Using Periodic Functions