Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...

A great hands-on activity involving adding and subtracting, beginner mathematicians determine how many games can be played with 20 tickets. Instead of tickets, youngsters use 20 counters or linking cubes to represent the amount of...

Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...

A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...

Hop your way through a mathematical equation with your first grade class as they learn the idea of moving up and down the number line. Adding and subtracting like little frogs is an engaging and clever way to teach/reinforce this concept.

What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...

Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the...

Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...

Entertaining as well as educational, this math activity about decomposing numbers is bound to capture the engagement of young learners. Given a cup and five two-color counters, young mathematicians simply shake and spill the cup,...

How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator...

A great aspect of teaching math is that children have the freedom to solve problems using a variety of different strategies. The focus of this lesson is for young mathematicians to become aware of many ways of answering addition...

Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups...

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.

Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.

Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...

Combine math, creative writing, and leprechauns in a fun St. Patrick's Day activity! Using a bag of gold coins and marshmallows, kids write a math story about a leprechaun that includes a multi-step equation to solve.

Your young basketball players will build a table and develop a general formula for a decaying exponential scenario involving the rebound distance of a bouncing ball. Using a CBR and graphing calculator can make this even more hands-on...

Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....

Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...

Seventh grade scientists weigh in on the concept of density. In a nutshell, they participate in the following activities: Measurement of the mass and volume of fruit in order to compare densities Measurement of the mass of oil and water...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

You've got to pump it up! Using the equations for projectile motion and Bernoulli's Principle, class members calculate the water pressure in a water gun. The pupils collect data on the number of pumps and distance traveled in order...

What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.

Lift—it is about the wing's attack. Using a virtual wind tunnel, pupils investigate wing shape and angle of attack. Learners use worksheets to record their observations and to convert verbal relationships into mathematical equations in...