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Lesson Plan
Illustrative Mathematics

Seven to the What?!?

For Teachers 5th - 7th Standards
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...
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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...
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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...
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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.
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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 contains 1...
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Worksheet
Curated OER

Go-Togethers

For Students 3rd
In this math analogies worksheet, 3rd graders circle the appropriate multiple choice answer that best completes 6 math analogies. Students complete one analogy.
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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.
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Assessment
1
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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.
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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.
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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.
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Worksheet
Curated OER

Travel Problems

For Students 9th
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...
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Worksheet
Curated OER

Missionaries and Cannibals

For Students 7th - 9th
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.
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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.
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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.
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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.
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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.
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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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Worksheet
Curated OER

Numbers and Operations

For Students 9th - 11th
In this algebra worksheet, students solve a word problem using algebraic expressions. An answer key is provided.
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Worksheet
Curated OER

Before, After, Between

For Students K - 1st
In this logical reasoning worksheet, learners view 3 rows of pictures that show children in action. They follow directions that are listed at the bottom of the page to show before, after, and between.
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Worksheet
Curated OER

Compare Weight

For Students 2nd - 4th
For this comparing weight word problem worksheet, students use logical reasoning to determine which objects are heavier or heaviest. Students solve six problems.
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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...
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Activity
Noyce Foundation

First Rate

For Students K - 12th Standards
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
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Activity
Noyce Foundation

Cubism

For Students K - 12th Standards
If cubism were a religion, would you follow it? Lower-level tasks focus primarily on counting the number cubes in a structure and relating the number to surface area. As learners progress to higher-level tasks, isometric drawings and...
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Activity
Noyce Foundation

Lyle's Triangles

For Students K - 12th Standards
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....

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