Students learn about gear ratios and power by operating toy mechanical cranes of differing gear ratios. They attempt to pick up objects with various masses to witness how much power must be applied to the system to oppose the force of gravity. They learn about the concept of gear ratio and practice calculating gear ratios on worksheets, discovering that smaller gear ratios are best for picking objects up quickly, and larger gear ratios make it easier to lift heavy objects.

Investigate collisions on an air hockey table. Set up your own experiments: vary the number of discs, masses and initial conditions. Is momentum conserved? Is kinetic energy conserved? Vary the elasticity and see what happens.

This short video and interactive assessment activity is designed to teach first graders about multiple object lengths (english measurement).

This short video and interactive assessment activity is designed to give fourth graders an overview of forming figures with cutouts.

Watch your solution change color as you mix chemicals with water. Then check molarity with the concentration meter. What are all the ways you can change the concentration of your solution? Switch solutes to compare different chemicals and find out how concentrated you can go before you hit saturation!

This short video and interactive assessment activity is designed to give fourth graders an overview of analog and digital clocks.

This short video and interactive assessment activity is designed to give fifth graders an overview of comparing decimals.

In this engineering, math, and sustainability project students answer the question, “Can I ride 53 miles on a bike from the energy of a single burrito?” They must define their variables, collect and analyze their data, and present their results. By the end of this project, developed by Allen Distinguished Educator Mike Wierusz, students should have all the information they need to design a burrito that would provide them with the exact caloric content necessary to ride 53 miles.

Decomposition one of the four parts of Computational Thinking breaks down problems into smaller parts so that it is easier to understand and solve them.

In this first part of a two-part lab activity, students use triple balance beams and graduated cylinders to take measurements and calculate the densities of several common, irregularly shaped objects with the purpose to resolve confusion about mass and density. After this activity, conduct the associated Density Column Lab - Part 2 activity before presenting the associated Density & Miscibility lesson for discussion about concepts that explain what students have observed.

Concluding a two-part lab activity, students use triple balance beams and graduated cylinders to take measurements and calculate densities of several household liquids and compare them to the densities of irregularly shaped objects (as determined in Part 1). Then they create density columns with the three liquids and four solid items to test their calculations and predictions of the different densities. Once their density columns are complete, students determine the effect of adding detergent to the columns. After this activity, present the associated Density & Miscibility lesson for a discussion about why the column layers do not mix.

This short video and interactive assessment activity is designed to teach fifth graders about dividing fractions by fractions.

This short video and interactive assessment activity is designed to teach third graders about dividing by 10.

Freckle is a FREE website that provides online learning in math, science, social studies and english language arts. Students take a pretest and then their individualized learning plan begins.

This series of 5 word problems lead up to the final problem. Most students should be able to answer the first two questions without too much difficulty. The decimal numbers may cause some students trouble, but if they make a drawing of the road that the girls are riding on, and their positions at the different times, it may help. The third question has a bit of a challenge in that students won't land on the exact meeting time by making a table with distance values every hour. The fourth question addresses a useful concept for problems involving objects moving at different speeds which may be new to sixth grade students.

Images of construction of copying an angle, with descriptive text and hotspots of key points on images.

Students will create and compare dot and box plots that show the percentages of single-mother and single-father households in different regions of the United States.

With this activity, students use a globe to learn how a position on Earth can be described. They investigate how latitude can be found using the stars. Students learn what latitude and longitude are and how to use them to indicate a position on Earth. They investigate how in some locations on Earth, the direction of the midday sun can change over the year.

The Illustrative Mathematics Project provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards.