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Number and Operations

How Many Each? How Many Left?: Conceptualizing Division with Large Numbers

3-5
Division is one of the most difficult operations for students to master, in part, because there are many steps to keep track of and students often do not understand the mathematical reasoning behind each step. In this lesson, students will apply the strategies behind division, and learn how those strategies can be translated into mathematical steps.
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Algebra

Making Tens: Finding Addends That Sum to Ten

Pre-K-2
In this lesson, students use 2 colors of snapping cubes and other manipulatives to model addend pairs for the number 10. They explore the different addend pairs, and play a game to apply their understanding.
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Algebra

Bean Salad: Using Algebraic Reasoning to Determine Quantities of Ingredients

3-5
In this lesson, students use operations of whole numbers and/or fractions to determine the precise numbers of three types of dried beans needed to make salads. The use of manipulatives and partner activities provide differentiation and support learning for students of varying abilities.
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Measurement

Scaling the City: Ground Truthing the Size of SimCity Objects

6-8
Photographs, blueprints, models, and computer renderings may serve as virtual representations of real cities. But how accurately do they represent their real counterparts? In this lesson, students examine a computer representation of a city and compare the sizes of its features with the sizes of analogous features in a real city. 
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Algebra

Magical Magic Squares: Constructing Simple Magic Squares in Odd-Numbered Square Arrays

Pre-K-2, 3-5
In this lesson, students will use operations to discover patterns with integers in magic squares. They will apply what they have learned when building their own magic squares.
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Algebra

Mouse=Mouse: Using a Book to Explore Variable and Equality

Pre-K-2
In the book Balancing Act by Ellen Stoll Walsh, two mice find a teeter-totter and have a fun time balancing each other. When more animal friends come along to join them, they find their teeter-totter unbalanced. This hands-on lesson uses the book as an introduction to the concept that both sides of an equation need to be equal and balanced in order to use the "equal to" symbol; otherwise the "not equal to" symbol must be used. In addition, students use pictures and symbolic letters to represent variables in an equation.
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Algebra

Odd Man Out: Identifying Sums of Numbers as Odd or Even

Pre-K-2, 3-5
In this lesson, students use a visual model using snap cubes or grid paper to build numbers in two columns to show whether they are odd or even. They then use the models to generalize about sums of odd and even numbers.
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Measurement

Elapsed Time: Using a Timeline to Determine Elapsed Time

3-5
Students learn to calculate elapsed time by using a timeline, and then complete three engaging and fun activities that plan a circus performance, their class schedule, and their day.
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Geometry

Inversions

3-5, 6-8

 Using inversions — words that can be read in more than one way — as the context, students will be introduced to various types of symmetry. After exploring the symmetries that exist with letters of the alphabet, they will make inversions of their own name.

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Algebra

Making Change

Pre-K-2

To begin this lesson, children model prices mentioned in a children’s book. Then they make change from a given amount by counting on from the price.

Note: Counting on to make change is a very challenging activity. In initial instruction, it is best to restrict the coins used in making change to pennies and dimes.