Noyce Foundation
The Wheel Shop
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C
Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Speed—Problem Set E
What do you do to change arrival times of airplanes when a different route is not available? The fifth interactive in a series of six presents problems where pupils must find solutions to conflicts of safety rules. They must decide how...
Teach Engineering
Solving Energy Problems
Here's your chance to save the world. The eighth lesson in a 25-part Energy Systems and Solutions unit has young scientists come up with ideas for individual or group projects. They identify ways to solve the energy crisis. Hope they...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
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 problem in...
Illustrative Mathematics
Toll Bridge Puzzle
Here is a great problem-solving activity for young mathematicians. Intended solely for instructional purposes, the activity is appropriate for learners to add four numbers together. Not only must they add four numbers together,...
Illustrative Mathematics
Two Interpretations of Division
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...
Curated OER
Delivery Trucks
Written to assess students' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.
Illustrative Mathematics
Plastic Building Blocks
Let's build a castle! Dennis and Cody have big plans, but do they have enough blocks between the two of them to accomplish their goal? A great context that requires students to add and compare mixed numbers. Encourage the use of pictures...
Curated OER
The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Curated OER
Analyzing Word Problems Involving Multiplication
Learners sometimes have difficulty making sense of a word problem. In a guided learning activity, pupils are asked to think about how to find an answer and explain their thinking, rather than finding the answer. It allows them to...
Noyce Foundation
Movin 'n Groovin
Examine the consequences of varying speed. An engaging set of five problem sets challenges young mathematicians by targeting a different grade level from K-12. In the initial lesson, scholars make conclusions about the time it takes two...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Route—Problem Set B
Do pilots create appropriate spacing between aircraft by traveling a longer or shorter path? An interactive presents two airplanes that violate safety protocols. Pupils must determine how to change the path of one plane to create the...
Baylor College
Living Things and Their Needs: The Math Link
Enrich your study of living things with these cross-curricular math activities. Following along with the story Tillena Lou's Day in the Sun, learners will practice addition and subtraction, learn how to measure volume and length, work on...
Curated OER
Visiting the Arcade
Second graders take a trip to the arcade in an activity that engages them in problem solving with money. Composed of three word problems, youngsters are instructed to determine various combinations to represent a given value by using...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Curated OER
Mt. Whitney to Death Valley
This is an intriguing problem that brings together real-world data, technology, and mathematical problem solving. If visibility wasn't an issue, could you see from the highest point in the lower 48 states, Mt. Whitney, to the lowest...
Computer Science Unplugged
Ice Roads–Steiner Trees
As an introduction to Steiner Trees, class members are challenged to find the shortest paths to connect multiple points. The teacher introduces the problem by showing how to connect three points. Groups then go outside and construct a...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
5280 Math
Go with the Flow
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
101 Questions
Boat in the River
Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Illustrative Mathematics
Bank Shot
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
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