Illustrative Mathematics
Seven to the What?!?
Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the logical...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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...
Bowland
AstroZoo
Rescue animals in the zoo by applying math concepts. Groups of learners solve three missions involving oxygen, food, and climate control. Each group selects an animal from one of four bio-domes.
Noyce Foundation
What's Your Angle?
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
Curated OER
Logic
Middle schoolers solve problems using reasoning techniques, identify the validity or non-validity of problems and use deductive reasoning for problem resolution.
Curated OER
Two Column Logic Proofs
Young scholars complete two column proofs. In this geometry lesson plan,students derive the reasons their answers are correct using logic. They write the proof step by step using two columns.
Curated OER
This Man's Father
In this online worksheet, students solve 1 creative thinking problem, where they determine who a man's father is given specific information. A solution is available.
Curated OER
Mathematical Magazines
Learners use ads from magazines to create data to be measured and apply the skill of estimation. They record the percentage of magazine ads that could be separated into different categories made by students through the use of logical...
Curated OER
Proof by Induction
In this induction worksheet, students read word problems. They determine the difference between inductive and deductive reasoning. Students solve the given problem through inductive reasoning. This one-page worksheet contains 1...
Curated OER
Go-Togethers
In this math analogies worksheet, 3rd graders circle the appropriate multiple choice answer that best completes 6 math analogies. Students complete one analogy.
Curated OER
Little Pigs with Big Problems
First graders solve one problem per day regarding the story of Three Little Pigs. In this math journals lesson plan, 1st graders solve problems on a daily basis using the story of the Three Little Pigs.
Curated OER
Trip Around the US
In this algebra worksheet, 11th graders are given a scenario and asked to solve using algebraic symbols and equations. They have to figure out how the boss knew what state would be Jack's last state to visit. A solution is provided.
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Bowland
Royal Liver Clock
Using clocks as dining tables? Scholars estimate the number of people that can sit around the face of the clock on the Royal Liver Building in Liverpool. They use estimation to justify their responses.
Curated OER
The Treasure Hunt
In this treasure hunt worksheet, students determine a combination of events that satisfies given conditions. This one-page worksheet contains 1 logic problem. The answer is provideed at the bottom of the page.
Curated OER
Travel Problems
This worksheet is actually an entire chapter focused on math problems involving, shortest path, minimum connector, traveling salesman, and Chinese postman problems. There are multiple activities, exercises, and examples to get students...
Curated OER
Nutty for Nutrition
Students create a PowerPoint presentation detailing daily intake of nutrients. In this nutty for nutrition instructional activity, groups of students conduct Internet research to determine what type of nutrients should be consumed on a...
Curated OER
Missionaries and Cannibals
In this missionaries and cannibals worksheet, students read a word problem and use logic and deductive reasoning to solve the problem. This one-page worksheet contains one problem. Answers are provided at the bottom of the page.
Curated OER
Fill It Up
In this filling in a chart worksheet, 3rd graders write a specific number in 15 boxes that fits the rule for each column and row. Students can use any number only once.
Curated OER
Sum Machine!
In this addition learning exercise, 2nd graders find the sum of 14 addition math problems involving three-digit whole numbers. Students write 1 original addition problem that can be solved.
Curated OER
Find the Fake
In this division problems worksheet, 3rd graders look at 7 rows of division problems and determine which one of the four on each row does not belong with the other three. Students circle their answers.
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
Odd Is In
Pupils play a game with coins and then use reasoning skills to develop a strategy for winning the game.
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