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Measurement

Comparing Heights to Explore Linear Measurement

Pre-K-2, 3-5
Students often view linear measurement as a procedure in which a number is simply read off a ruler.  The goal of this lesson is to have students gain experience in linear measurement by using a variety of measuring instruments to measure the heights of classmates, to discover the error inherent in measurement, and to search for patterns in data that are represented on a table. In this lesson, students compare results of measuring the same height using different methods, and discuss measurement error.   They measure the heights of classmates and the heights of older students in their school, and construct a table of height and age data.  The lesson is also designed to serve as a springboard for a second lesson in which students relate measurement to algebra and data analysis concepts.
 
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Data Analysis and Probability

Analyzing Changes in Height as a Function of Age

Pre-K-2, 3-5
A key goal for instruction on algebra at the elementary level is to analyze change, and to understand how change in one variable can relate to change in a second variable. The goal of this lesson is for students to explore how changes in students’ ages relate to changes in their heights. 
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Algebra

Number Line Journeys

3-5
In this lesson, students generate products using a number line model. Students are encouraged to predict the products and to answer puzzles involving multiplication.
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Algebra

Setting the Pace

3-5
Students continue their investigation of modeling multiplication on the number line using the Distance-Speed-Time Simulation from the NCTM E-Examples.
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Algebra

The First Race

3-5
Again using the E-Example simulation, students will model multiplication facts on the number line and compare various representations.
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Algebra

Telling Racing Stories

3-5
In this lesson, students model races in which runners start from various positions. They enter numbers in a table of values, model races on a coordinate grid, and compare the results. Students begin to develop an understanding of linear relationships.
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Algebra

Describe the Graph

3-5, 6-8
In this lesson students will review plotting points and labeling axis.  Students generate a set of random points all located within the first quadrant.  Students will plot and connect the points and then create a short story that could describe the graph.  Students must ensure that the graph is labeled correctly and that someone could recreate their graph from their story.
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Measurement

What Does it Take to Construct a Triangle?

3-5
Students explore the importance of the side lengths of a triangle and when triangles can or cannot be constructed on the basis of these lengths.
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Geometry

How Many Triangles Can You Construct?

3-5, 6-8
Students identify patterns in a geometrical figure (based on triangles) and build a foundation for the understanding of fractals.
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Number and Operations

Exploring Krypto

3-5, 6-8
The rules of Krypto are amazingly simple — combine five numbers using the standard arithmetic operations to create a target number. Finding a solution to one of the more than 3 million possible combinations can be quite a challenge, but students love it. And you’ll love that the game helps to develop number sense, computational skill, and an understanding of the order of operations.