Measurement and Geometry
Imperial Measurements
Lengths ... Math 10
Metric Measurements
Lengths & Mass ... Math 6-10
Area of Regular Polygons
Math 10
Cone Volume & Surface Area
... Math 10
Pyramid Volume & Surface Area
... Math 10
Torus Volume & Surface Area
Math 10/31
(includes finding formulas using differentiation, integration)
Spherical Cap Volume & Surface Area
Math 10
The Pythagorean Theorem in 3D
It works ... Math 10C
The Area of a Ring
An unconventional method ... Math 10C/20
Sector Area and Arc Length
Using both formulas ... Math20
Algebra and Graphing
Simplifying Square Roots
Simplifying square roots ... Math 10C
Operations with Radicals
Adding, subtracting, multiplying & dividing
Rationalizing the Denominator
More simplifying
The Distance Formula
Lots of examples and practice ... Math 10C
The Midpoint Formula
Lots of examples ... Math 10C
Collinear Points
With examples ... Math 10C
Simplifying Powers with Fractional Exponents
Math 10C/20
Naming Polynomials
Math 10C
Polynomial Simplifying
Basic types explained ... Math 10C
Binomial Multiplication
FOIL ... Math 10C
Binomial Multiplication Practice
Self-checking quiz ... Math 10C
Geometry + Algebra
Some selected problems ... Math 10C
Polynomial Factoring
Basic types explained, flow chart, and quiz ... Math 10C/20
Factoring a Sum or Difference of Cubes
Math 31
Functions
Functions and function notation ... Math 10C
Types of Functions
A handy summary sheet of most of the function graphs you'll see in high school
Domain & Range
Definition, and lots of examples
Linear Functions
Al about lines. The complete Lines Unit from Math 10C
Quadratic Functions
All about parabolas. Part of the quadratic functions unit in Math 20
Solving Quadratic Equations
Math 10C/20
Cubic Functions
including Factor Theorem
Absolute Value Functions
Math 20
Composite Functions
Math 20
Discontinuous Functions
Math 20/30/31
The Inverse Square Law
Math 20/30
Asymptotes
Math 20/30/31
Solving Equations Quizzes
Linear, quadratic, square root, exponential, logarithmic & trigonometric ... Math 8/9/10C/20/30
Circles and the Slope of a Line
A surprising relationship ... Math 10C
Distance to a Line From a Point
Five ways to calculate it ... Math 10C/20/30
Solving Linear Systems
The complete Math 20 unit
Solving Linear/Quadratic Systems
Conic Sections
Circles, ellipses, parabolas and hyperbolas as sections of a cone
Circle Equations
Both forms ... Math 30
Ellipses
Ellipse facts
Parabolas
Part of the quadratic functions unit in Math 20
Hyperbolas
THe fourth conic section
Sequences & Series
Arithmetic and geometric term and sum formulas (Math 30)
Sum of an Infinite Geometric Sequence
(Math 30)
Pascal's Triangle
Working out binomial expansions to any exponent
An Introduction to Logarithms
Math 30
The Logarithm Rules
Operating with logs ... Math 30
Practice Making Log Expressions
Math 30
Solving Exponential & Log Equations
Math 30
Polar vs Cartesian Coordinates
Explanation and conversion examples ... Math 31
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Probability and Statistics
Scatter Plots
Correlation, variables, and line of best fit ... Math 10C
Factorials
What does 6! mean?
Factorial Algebra
Simplifying expressions & solving equations
Normal Distributions
Mean and standard deviation examples, and a quiz
The Fundamental Counting Principle
Math 30
Winning Lotto 649
What are the chances?
Box & Whisker Graphs
A new way to plot data
Number Theory
The Goldbach Conjecture
One of the oldest unsolved problems in all of mathematics.
Fermat's Last Theorem
This elusive problem finally solved!
The Fibonacci Sequence & Golden Ratio
It's everywhere!
Applied Math
Analogies in Math Class
Why teachers make problems about watermelons!
Problems with Multiple Concepts
Using all your skills!
Simple and Compound Interest
Examples and both formulas
The Slide Rule
Learn about this amazing device that helped get us to the moon
Making a Trundle Wheel
For teachers: complete plans, suggestions for use, and error calculations.
Counting Penguins
Using statistics! All grades
Carbon 14 Dating
Dating archaeological artifacts
Exponential Growth
Grades 9,10
Ripping and Stacking Paper
How high can you make your stack? All grades
Using Trigonometry
To find the height of the gym wall
Volume of a Grain Pile
General interest
Surface Area
Why granulated sugar dissolves faster than cubes ... Math 9
Surface Area and Temperature
Breaking up a liquid drop into smaller pieces will increase the surface area and lower the temperature... Math 9/10C
A String Around the Earth
The surprising result ... Math 10C
Flowing Water in a Culvert
How much water flows through per second ... Math 10C
How Many Ways Can a Deck of Cards Be Shuffled?
A gigantic number ... Math 30
Throwing a Discus
How to make it go farther ... Math 8/9
Calculating PI Using Toothpicks
This experiment ran for several years, and we got entries from all over the world. Designed for grade 9, the derivation of the formula uses calculus from Math 31
Dartboard Probabilities
How likely is it you'll score big with one dart?
Trigonometry
An Introduction to Trigonometry
Math 10C
Right Triangle Trigonometry
Math 10C
Sample Trig problems
Math 10C
The Double Tan Problem
Math 10C/20
The Sine Law
Math 20/30
The Cosine Law
Math 20/30
The CAST Rule
Trigonometry on x-y axes ... Math 20/30
The Special Triangles
For exact values ... Math 30
Radians and π Radians
Explanation and conversion methods ... Math 30
Using Identities: the Pythagorean Identities
with examples ... Math 30
Trig Graphs
sin, cos, tan ... Math 30
Calculus
Calculus
A short overview ... Math 31
Finding the Slope of a Curve at a Point
Using the method of approaching secants ... Math 31
Differentiation Rules
With simple examples ... Math 31
Differentiating a Function
Using the first derivative of a function to find the local maximum and minimum points ... Math 31
The Chain Rule
Lots of examples ... Math 31
Trigonometric Derivatives
The basic ones, and a printable list ... Math 31
Summation Notation
With examples ... Math 31
Limits
With examples ... Math 31
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