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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...
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Henrico County Public Schools

Factoring Puzzle

For Students 9th - 11th Standards
Factoring polynomials is an essential part of writing equivalent expressions and algebraic problem solving. Here is a card game that serves an engaging activity for reviewing factoring of polynomials.
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Barnstable Public Schools

Math Relay Races

For Teachers 3rd - 5th Standards
A plethora of activities make up a cross curricular choice page filled with math games—relay races, dice, and crossword puzzles—a survey challenge equipped with data organization, graphing, a quicksand recipe, Hula-Hoop activity to...
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Activity
Curated OER

K-5 Mathematics Module: Number and Number Sense

For Students K - 5th Standards
Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency in...
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Lesson Plan
Education Development Center

Geography of the Number Line

For Teachers 5th - 8th Standards
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and relationships....
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Activity
PBL Pathways

Biscuits

For Teachers 10th - Higher Ed Standards
Calculate the nutrients in different types of dog biscuits. Pupils create a technical report outlining the amount of calcium, protein, and carbohydrates in three types of dog biscuits. The project-based learning activity requires...
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5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
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Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Activity
Education Development Center

Word Problem with Rational Numbers—Balancing Bars of Soap

For Teachers 4th - 5th Standards
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
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Lesson Plan
Curated OER

Symmetry of the Addition Table

For Teachers 1st - 3rd Standards
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
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Lesson Plan
Curated OER

St. Patrick’s Day

For Teachers 3rd - 6th Standards
Combine math, creative writing, and leprechauns in a fun St. Patrick's Day activity! Using a bag of gold coins and marshmallows, kids write a math story about a leprechaun that includes a multi-step equation to solve.
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Lesson Plan
Illustrative Mathematics

Banana Pudding

For Teachers 4th - 6th Standards
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole number...
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Activity
KenKen Puzzle

KenKen® Puzzle

For Students 7th - 10th
Think inside the box with KenKen® puzzles to provide some problem solving practice. These puzzles are similar to Sudoku, but require computation inside designated boxes. There are multiple puzzles with a range of difficulties to...
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Activity
Curated OER

Drinking Juice

For Teachers 5th Standards
Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa drank,...
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Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 2

For Teachers 6th - 7th Standards
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson, which can be found in Additional Materials,...
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Lesson Plan
Illustrative Mathematics

Making Hot Cocoa, Variation 1

For Teachers 6th - 7th Standards
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the activity in the Additional Materials section to practice this...
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Lesson Plan
Illustrative Mathematics

How Many Containers in One Cup / Cups in One Container?

For Teachers 5th - 7th Standards
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
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Lesson Plan
Illustrative Mathematics

Sharing Prize Money

For Teachers 6th - 8th Standards
When three classrooms are to split up prize money, your mathematicians must find the percentage that each class deserves and calculate the total amount. There is an option to use a calculator and practice rounding. 
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Lesson Plan
Illustrative Mathematics

Running to School

For Teachers 4th - 6th Standards
The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...
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Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
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Lesson Plan
Illustrative Mathematics

The Stamp Collection

For Teachers 3rd - 4th Standards
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
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Activity
Illustrative Mathematics

Running a Mile

For Teachers 4th - 6th Standards
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...
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Activity
Illustrative Mathematics

How Much Pie?

For Teachers 5th Standards
The connection between fractions and division is not always intuitive for 5th graders. Pie, on the other hand, is something 5th graders can connect with. Multiple pies divided among multiple people provide the platform for your class to...
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Illustrative Mathematics

Cari's Aquarium

For Teachers 5th - 7th Standards
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume, then...

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