Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.  

It's okay to get caught with your hand in a virtual cookie jar. Pupils use an interactive to drag cookies from two cookie jars onto a plate. They investigate how an expression representing the number of remaining cookies changes as users...

Pupils identify and define various mathematical properties, such as the commutative properties of addition and multiplication, and the associative property of addition. They also reason and communicate mathematically by making...

What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...

Students comprehend that ratios and fractions are interchangeable. They compare ratios using common denominators, cross multiplication, and intuition. Students find equivalent fractions. They comprehend that equivalent ratios do not...

Students explore Fibonacci sequences. In this math lesson, students identify the relationship between two numbers. Students use Fibonacci sequences to create algebraic equations.

What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...

Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.

Hopefully nothing gets lost in translation. Pupils translate between verbal phrases and algebraic expressions. They then use candy to determine what values to substitute into the expressions.

Students explore patterns. They observe a video, "Math Monsters." Students determine the next item in a sequence. Students read books about patterns. They discuss patterns in quilts. Students visit a specified web site and design...

High schoolers investigate perimeter patterns formed by a hexagon and a triangle. They will identify the dependent and independent variable and write a function for the relationship.

Students watch the Cyberchase episode, "The Poddleville Case" and play online games to examine how patterns are sequences that repeat or change in an orderly way. The lesson culminates with students creating their own patterns to use in...

Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 

Shapes are so fun! Little ones explore, identify, and create shapes using tangrams or pattern blocks. The activity is intended to stimulate critical thinking while engaging learners through play and shape identification. Each child will...

How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...

Did you know you can send a message using only zeroes and ones? This interactive resource presents an introduction to binary numbers. Through code cards, pupils learn to convert binary numbers to decimal numbers.

Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...

Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the...

Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.

Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...