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Number and Operations

Getting the (Decimal) Point with Blocks: Multiplying Two Decimals Using Base Ten Blocks

3-5
Students will use base ten blocks to model decimal multiplication. They will assign different values to the different base ten blocks to explore the consistent relationship between the types of blocks. They will also discover different factors for the same product. These activities will help students develop a conceptual understanding of decimal multiplication.
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Number and Operations

Egg Carton Designs: Constructing Arrays to Begin a Study of Multiplication

3-5
In this lesson, students are presented with a design challenge: a company that produces egg cartons wants to create a package for 24 eggs. The company wants to know all of the possible ways to arrange 24 eggs into rectangular packages. Students work together to find the arrays and respond to the egg company.  
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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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Data Analysis and Probability

Making a Baseball Lineup: Using Baseball Statistics to Create a Baseball Game Simulation

3-5
In this activity students will analyze data and select fictional baseball players based on player statistics. They will apply concepts of probability to choose the order of batters on their team. After creating a spinner for each player to represent the statistics, they use the spinners to play a simulated baseball game.
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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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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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Measurement

Perimeter Exploration: Exploring How the Perimeter of a Polygon Can Change While Its Area Remains Constant

3-5
In this lesson, students explore the relationship between perimeter and area. Students use pattern blocks to build polygons to explore how the perimeter can be different for two or more polygons with the same area.  
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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.