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Number and Operations

''Ten''ding the Herd: Counting Large Numbers by Tens and Ones

Pre-K-2
In this lesson, students work at stations where they practice counting large numbers by grouping herds of cows into tens and leftover ones, developing a deeper understanding of place value. The activities involve the use of manipulatives, ten-frames, and the Illuminations online activity Grouping and Grazing. 
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Number and Operations

Expand That Number!: Composing and Decomposing Numbers Using Standard and Expanded Form

Pre-K-2, 3-5
In this lesson, students learn to compose and decompose numbers into the hundreds place as they move from standard form to expanded form and back again. Students explore composing and decomposing numbers using base ten blocks and place value cards.
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Number and Operations

Basically Base Ten: Discovering Place Value Meaning Using Base Ten Blocks

Pre-K-2
In this lesson, students use base ten blocks to construct two- and three-digit numbers on a place value board. They then play a game using base ten blocks to model numbers up to 100.
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Number and Operations

Coin Blocks: Counting Money with Value-Sized Blocks

Pre-K-2
Students use coin blocks, a concrete representation of coins, to compose and decompose numbers by counting money. They also use an interactive tool to practice the same skills pictorially.
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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

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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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.

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Data Analysis and Probability

Making Glyphs

Pre-K-2
In this lesson, students learn a powerful way to display data—using a glyph. They collect data and create pictures using the data. Students also interpret glyphs made by other students.