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

What's Your Angle?

For Students K - 12th Standards
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...
Lesson Plan
Bowland

AstroZoo

For Teachers 6th - 9th
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.
Lesson Plan
Curated OER

Logic

For Teachers 6th - 8th
Middle schoolers solve problems using reasoning techniques, identify the validity or non-validity of problems and use deductive reasoning for problem resolution.
Lesson Plan
Curated OER

Two Column Logic Proofs

For Teachers 8th - 10th
Students complete two column proofs. In this geometry lesson,students derive the reasons their answers are correct using logic. They write the proof step by step using two columns.
Worksheet
Curated OER

This Man's Father

For Students 10th - 11th
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.
Lesson Plan
Curated OER

Mathematical Magazines

For Teachers 9th - 12th
High schoolers 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...
Worksheet
Curated OER

Proof by Induction

For Students 9th - 12th
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...
Worksheet
Curated OER

Go-Togethers

For Students 3rd
For this math analogies worksheet, 3rd graders circle the appropriate multiple choice answer that best completes 6 math analogies. Students complete one analogy.
Lesson Plan
Curated OER

Little Pigs with Big Problems

For Teachers 1st
First graders solve one problem per day regarding the story of Three Little Pigs. In this math journals activity, 1st graders solve problems on a daily basis using the story of the Three Little Pigs.
Worksheet
Curated OER

Trip Around the US

For Students 11th
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.
Assessment
1
1
Inside Mathematics

Quadratic (2006)

For Teachers 9th - 12th Standards
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.
Assessment
Bowland

Royal Liver Clock

For Teachers 6th - 9th
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.
Worksheet
Curated OER

The Treasure Hunt

For Students 7th - 10th
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.
Worksheet
Curated OER

Travel Problems

For Students 9th
This instructional activity 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...
Lesson Plan
Curated OER

Nutty for Nutrition

For Teachers 9th - 12th
Learners create a PowerPoint presentation detailing daily intake of nutrients. In this nutty for nutrition lesson, groups of students conduct Internet research to determine what type of nutrients should be consumed on a daily basis. ...
Worksheet
Curated OER

Missionaries and Cannibals

For Students 7th - 9th
In this missionaries and cannibals learning exercise, students read a word problem and use logic and deductive reasoning to solve the problem.  This one-page learning exercise contains one problem.  Answers are provided at the...
Worksheet
Curated OER

Fill It Up

For Students 3rd
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.
Worksheet
Curated OER

Sum Machine!

For Students 2nd
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.
Worksheet
Curated OER

Find the Fake

For Students 3rd
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.
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
Curated OER

Odd Is In

For Teachers K - 5th
Pupils play a game with coins and then use reasoning skills to develop a strategy for winning the game.
Worksheet
Curated OER

Solomon's Game

For Students 10th - 11th
In this algebra worksheet, students solve a word problem by playing a game of Solomon, where they capture their opponents piece and remove them from the game. There is one problem with answer key.
Worksheet
Curated OER

Interstate Highway Trip

For Students 11th
In this algebra worksheet, 11th graders calculate a path taken without repeating and crossing the same path more than once. They are given clues to help-them find the right answer. There is a solution key with his word problem.

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