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Measurement

Measuring with Our Foot

Pre-K-2
Students measure the same distances as in the previous lesson using an outline cutout of their own foot. This enables students to practice using nonstandard units and to compare the measurement totals using their feet and the teacher’s foot.
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Algebra

Finding the Balance

Pre-K-2, 6-8
This lesson encourages students to explore another model of subtraction, the balance. Students will use real and virtual balances. Students also explore recording the modeled subtraction facts in equation form.
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Algebra

Magic Squares

6-8
This lesson explores magic squares from both a historical and mathematical perspective. The mathematical analysis leads into symbolic algebraic representation of the patterns. This lesson is based upon an article from the April 2001 edition of Mathematics Teaching in the Middle School. 
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Data Analysis and Probability

Skin Weight

6-8
In this lesson, students complete a chart by multiplying or dividing a given value, compare two categories in a line graph, and identify number patterns.
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Measurement

Whale Weight

6-8
In this lesson, students investigate relationships between numbers, identify number patterns,
represent the information in graphic chart form, and generalize the results of an investigation. Specifically, students explore the relationship between a whale's length and its weight.
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Measurement

Finding the Balance

6-8
In this lesson for grades 6‑8, students participate in activities in which they focus on patterns and relations that can be developed from the exploration of balance, mass, length of the mass arm, and the position of the fulcrum. The focus of this lesson is the relationship between the length of the arm and the mass of the objects.
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Data Analysis and Probability

Spinning Tops

6-8
Students measure distances using standard and nonstandard units and record their measurement in various tables. Then they are asked to use descriptive statistics to report the results. During a top-spinning contest, students measure the distance along a curve using indirect measurement. They record the data for their group in a chart, and compute their individual median and the group median.
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Number and Operations

A Lunch-In Affair

6-8
Students organize and prepare a luncheon for the entire class. Working in committees, each group of students is responsible for a different aspect of the event.
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Number and Operations

Birthdays and the Binary System

6-8
This lesson is a collection of three activities, all of which revolve around patterns and place value in the binary system. Grades 5‑8 students are drawn into the mathematics by the "magical" ability to guess an unknown number and by the use of birthdays, something they find very relevant. This lesson plan is adapted from the September 1997 edition of Mathematics Teaching in the Middle School.
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Algebra

Building Bridges

6-8
In this lesson, students transition from arithmetic to algebraic thinking by exploring problems that are not limited to single-solution responses. Values organized into tables and graphs are used to move toward symbolic representations. Problem situations involving linear, quadratic, and exponential models are employed. This lesson is based upon the article "Building Bridges to Algebraic Thinking" by Roger Day, which appeared in the February 1997 edition of Mathematics Teaching in the Middle School.