The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions.

Students will compare data for two states using comparison symbols and both rounded and unrounded (exact) numbers. Students will then write their own question to compare the data.

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!

A unit that will develop a model for constant velocity using verbal, graphical, and quantitative representations.  It begins with a paradigm lab using a constant speed toy cars (or any other similar device).

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.

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 third graders about determining the unknown angle in an isosceles triangle.

In this YouCubed task. students examine what happens when you keep continuing a pattern, forever. Students delve into the infinite and find the patterns and their area.

This short video and interactive assessment activity is designed to teach third graders about grouping with illustrations II - word problems.

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

How many calories are in your favorite foods? How much exercise would you have to do to burn off these calories? What is the relationship between calories and weight? Explore these issues by choosing diet and exercise and keeping an eye on your weight.

CK-12's Grade 5 Elementary Math is a series of videos and interactive videos designed to teach basic math concepts to 5th graders. Concepts covered include Multiplication and Division, Place Value, Multiple Operations and Grouping, Decimals, Time, Fractions, Money, Measurement, and Geometry.

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

Students will examine how human actions and population changes can affect the environment. Students will examine a series of photographs that compare famous landmarks (Times Square, the Saltair Pavilion in Utah, Laguna Beach, and Niagara Falls) across time, and then they will identify human-generated changes in the physical environment, such as the addition of bridges and roads. Students will also examine U.S. Census Bureau population and housing data to see how population changes can contribute to changes in the physical environment. In addition, students will describe the impact of these changes on the environment.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This short video and interactive assessment activity is designed to teach fourth graders about finding the total time given a distance between two objects.

In this task students are asked to write an equation to solve a real-world problem. There are two natural approaches to this task. In the first approach, students have to notice that even though there is one variable, namely the number of firefighters, it is used in two different places. In the other approach, students can find the total cost per firefighter and then write the equation.

This video lesson uses the technique of induction to show students how to analyze a seemingly random occurrence in order to understand it through the development of a mathematical model. Using the medium of a simple game, Dr. Lodhi demonstrates how students can first apply the 'rules' to small examples of the game and then, through careful observation, can begin to see the emergence of a possible pattern. Students will learn that they can move from observing a pattern to proving that their observation is correct by the development of a mathematical model. Dr. Lodhi provides a second game for students in the Teacher Guide downloadable on this page. There are no prerequisites for this lesson and needed materials include only a blackboard and objects of two different varieties - such as plain and striped balls, apples and oranges, etc. The lesson can be completed in a 50-minute class period.

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.