Interactive
Texas Education Agency (TEA)

Evaluating the Effectiveness of Arguments, i.e., Identify Fallacies (English III Reading)

For Students 11th Standards
A series of interactive exercises provide users with the ammunition they need to detect logical fallacies and defend themselves against persuasion. Learners read about 11 types of logical fallacies and identify the type used in sample...
Activity
Scouts

The Deadly Picnic: A Lab on Deductive Reasoning

For Teachers 6th - 12th
Whodunnit? Find out who killed Mr. Brooks through a logical examination of evidence. Class members fill out a couple of data tables to help them pin down the suspect. After they've figured out just who the culprit is, pupils compose...
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
Florida Center for Instructional Technology

A Human Number Line: Teacher Notes

For Teachers 4th - 6th Standards
Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...
Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
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...
Lesson Plan
Odyssey of the Mind

Odyssey of the Mind Curriculum Activity: Made Up Math

For Teachers 6th - 8th
Is there a way to connect creative thinking, logical reasoning, mathematical understanding, and humor? You bet there is! Kids begin by creating creative math quizzes, which require creative thinking to solve. For example, 1+1=24, one...
Activity
Illustrative Mathematics

Points equidistant from two points in the plane

For Teachers 9th - 12th Standards
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
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

Similar Triangles

For Teachers 9th - 11th Standards
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...
Activity
Noyce Foundation

Cut It Out

For Students K - 12th Standards
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out....
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Activity
Noyce Foundation

Between the Lines

For Students K - 12th Standards
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Lesson Plan
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Illustrative Mathematics

Shortest Line Segment from a Point P to a Line L

For Teachers 9th - 11th Standards
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Activity
Noyce Foundation

On Balance

For Students K - 12th Standards
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
Activity
Noyce Foundation

Measuring Mammals

For Students K - 12th Standards
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Activity
Noyce Foundation

Measuring Up

For Students K - 12th Standards
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
Activity
Noyce Foundation

Movin 'n Groovin

For Students K - 12th Standards
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...
Activity
Noyce Foundation

Circular Reasoning

For Students K - 12th Standards
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
Activity
Noyce Foundation

Surrounded and Covered

For Students K - 12th Standards
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Activity
Computer Science Unplugged

Battleships—Searching Algorithms

For Teachers 4th - 12th
How does a computer perform a search in order to find data? The lesson begins with a demonstration on finding one number out of 15. Pairs then play three games of Battleship by using different search techniques. The lesson...
Activity
Noyce Foundation

Through the Grapevine

For Students K - 12th Standards
Teach statistics by analyzing raisins. A thorough activity provides lesson resources for five levels to include all grades. Younger pupils work on counting and estimation, mid-level learners build on their understanding of the measures...
Activity
Noyce Foundation

The Wheel Shop

For Students K - 12th Standards
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...
Activity
Noyce Foundation

Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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...