Interactive
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NASA

Resolving 2-Plane Traffic Conflicts by Changing Speed—Problem Set E

For Students 5th - 9th Standards
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...
Lesson Plan
Curated OER

The Class Trip

For Teachers 3rd - 5th Standards
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...
Lesson Plan
Illustrative Mathematics

Two Interpretations of Division

For Teachers 3rd - 4th Standards
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...
Interactive
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NASA

Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C

For Students 5th - 9th Standards
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...
Lesson Plan
Illustrative Mathematics

Plastic Building Blocks

For Teachers 3rd - 5th Standards
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...
Activity
Beauty and Joy of Computing

Unsolvable and Undecidable Problems

For Teachers 9th - 12th
Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...
Activity
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Teach Engineering

Solving Energy Problems

For Teachers 6th - 8th
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...
Lesson Plan
Illustrative Mathematics

Friends Meeting on Bikes

For Teachers 6th - 8th Standards
It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
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...
Activity
Noyce Foundation

Diminishing Return

For Students K - 12th Standards
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Lesson Plan
Illustrative Mathematics

Sammy's Chipmunk and Squirrel Observations

For Teachers 7th - 9th Standards
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...
Lesson Plan
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Illustrative Mathematics

Margie Buys Apples

For Teachers 3rd - 5th Standards
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...
Lesson Plan
Curated OER

Jon and Charlie's Run

For Teachers 3rd - 5th Standards
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,...
Activity
Noyce Foundation

Digging Dinosaurs

For Students K - 12th Standards
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Activity
Noyce Foundation

The Shape of Things

For Students K - 12th Standards
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
Lesson Plan
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Illustrative Mathematics

Bank Shot

For Teachers 9th - 11th Standards
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....
Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
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...
Activity
Curated OER

Carnival Tickets

For Teachers 3rd - 5th Standards
A great subtraction and division discovery opportunity for young mathematicians, this learning task involves seven word problems that require multiple steps. Learners use a math table to persevere in solving problems that are...
Activity
Tutor 2 U

Plan for the Murder Solving Lesson

For Teachers 8th - 12th
It's a classic case of whodunnit - with a forensic twist! Learners observe a crime scene and compile evidence, along with emergency phone calls, fingerprints, and interview statements to find the criminal and solve the crime.
Activity
Curated OER

Analyzing Word Problems Involving Multiplication

For Teachers 3rd Standards
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...
Activity
Perkins School for the Blind

Design and Problem Solving

For Teachers 6th - 12th
What if you had a design problem you wanted to solve, but were unable to draw because you were unable to see? Teach your learners with visual impairments that they can use Wikki Stix®, a braille ruler, Legos®, and Constructo Straws to...
Interactive
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NASA

Resolving 2-Plane Traffic Conflicts by Changing Route—Problem Set B

For Students 5th - 9th Standards
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...
Lesson Plan
Illustrative Mathematics

The Lighthouse Problem

For Teachers 9th - 11th Standards
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Activity
101 Questions

Pea Problem

For Students 8th - 12th Standards
Understanding volume means less mess in the kitchen. Viewers observe a can of peas and a small bowl. They must determine if all of the peas from the can fit into the bowl without spilling using volume formulas to solve the equation.

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