Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...

Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...

How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.

Your car decreases in value from $20,000 to $17,000. What percent of the value have you lost? Pupils answer word problems by determining the percent of change. 

Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...

Don't spill the beans ... before the end of the lesson! Learners must predict how long it takes two people working together to fill a glass with beans. A video presents the rate it takes each person independently, and another video...

Build practical money skills and an understanding of the real world. The class discusses what they know about household budgets, debits, and credits as they relate to banking and problem-solving strategies. They use their math skills to...

Have fun while building the number sense of young mathematicians with this list of ten-frame learning games. From developing cardinality and counting skills to learning place value and basic addition strategies, ten-frames are excellent...

Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry activity. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...

Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!

Twelve cards and a worksheet make up an activity designed to reinforce problem solving skills. Scholars read and solve a variety of word problems using a graphic organizer to show their work. 

Uncover strategies for finding areas of composite figures. The 23rd lesson in a 29-part module has young mathematicians decompose figures to find total area. Figures decompose to rectangles and circular regions.

Gain practice converting between metric units of volume and mass. The class goes over the procedures for making the conversions as a whole. The strategy used here includes making charts that show the relationships between the...

A challenging presentation helps learners practice strategies for multiplying when using decimals. There are lots of good tips regarding these type of calculations, and many good practice problems for pupils to engage in.

How do you find a quarter of a given number? The class will see how easy it can be, as they first find 1/2 of a given set of numbers. They are then encouraged to find 1/2 again, which of course is 1/4. A great strategy for learners just...

Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...

Make way for the penguin parade! Based on a given pattern of penguins in an ascending number of rows, how many penguins were marching this year? Learners solve two word problems to find the answer.

Will harm come to the child in the video? Find out by modeling the scenario mathematically! Learners represent the situation with a quadratic model before deciding on a maximum height and time the person is in the air. Too low or not...

Profit always seems to get everyone's attention. The same is true during a instructional activity on estimation. Learners use given information to estimate the cost of supplies for a painting job. They then develop a strategy for...

Planning a party of 45 guests may be more complicated than it would seem.  Learners must design the space in accordance with these constraints about the space available in the room. They need to calculate area, circumference,...

Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...

There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...

Scholars have an opportunity to use their geometric modeling skills. Pupils determine a reasonable estimate of the number of string beans that would fill the average human body.

Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...