Illustrative Mathematics
Setting Goals
Setting financial goals is a common occurrence in middle school that your learners can practice using this activity. They will be able to solve for how many hours Seth needs to work to save up for a skateboard, helmet, and trip. The...
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Comparing Candy Bars
Eighth graders identify that a ratio is a comparison of two numbers and that a proportion is an equation that equates two ratios. They identify the extremes and means of proportions, as well as the product of the extremes equals the...
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The Shadow Knows - Measuring Other Students
Eighth graders measure height and shadow length of other students on a sunny day and develop a ratio. They apply the ratio to other students and objects using shadows to determine height.
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Flying with Fractions
Students test their knowledge of the Wright Brothers and their aircraft, and compute ratio of two numbers to determine the ratio between wing span and length of aircraft.
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THE MEAN INDEX CARD
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
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poem "One Inch Tall" from the book "Where the Sidewalk Ends" by Shel Silverstein
Young scholars use the terms: ratio, proportion, and measurement in their description of the life of a person one inch tall.
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Round The Track
Fourth graders develop problem solving skills while learning to measure an athletic track. The focus upon logic and reasoning is helpful for all types of science and math calculations.
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The Circle's Measure
Students explore circumference and diameter. For this math lesson, students apply their knowledge of circumference and diameter to solve mathematical riddles. Students apply this knowledge to find circumference and diameter of various...
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poem "Smart" by Shel Silverstein from "Where the Sidewalk Ends"
Students incorporate their conceptual understanding of proportions to write a creative piece similar to the example poem.
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Measurement via Triangulation
Students utilize triangulation techniques to determine altitudes of objects. An altitude locator is constructed and used to determine the height of a building or a tree. Tangent tables and formulas provide the ratio for the formula to...
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Fair Games
Fifth graders examine the statistics of playing games. Many games of chance and activities in maths text books involve rolling two dice and combining the scores, usually by addition. Students often find the probabilities of such events...
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Sin, Cos and Tangent
Students find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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Environment: Water & Air
The introduction to the lesson mentions a sailor's limited capacity to store drinking water on his ship. Pupils then set up an overnight experiment to remove freshwater from salt water by distillation. There is a math and map activity to...
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All Kinds of Numbers
Count and compare numbers and fractions using "greater than" and "less than." Learners count on by 2s and 10s and represent the end number with base ten blocks, counters, and cups. They use circle stickers to illustrate fractions and...
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Noise Levels, Bar Graphing, and Fractions
Students research items that can damage hearing. They explore statistics about the decibels of certain objects. From the information collected, students create a bar graph. They formulate ratios to determine what sounds are harmful to...
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Measuring a Mummy Case
Students practice how to calculate volume using mummy cases. They measure using ancient Egyptian, U.S., and metric systems. They explore how to convert measurements into different systems, and discuss ratios.
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Measuring a Mummy Case
Students calculate the size of a mummy case and its contents using ancient Egyptian measurements.
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Build Your Dream Bedroom
Designers measure their own rooms and produce a scale drawing. They use the Internet to visit sites to find the costs of purchasing new carpet, paint, or anything else they would like to add to their room. Using a $1500 budget, they will...
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
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Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry activity, students calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent shapes. This...
West Contra Costa Unified School District
Simplifying Fractions Activity
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly...
Mathematics Assessment Project
Sampling and Estimating: Counting Trees
Your task today: count all the trees on a tree farm. To complete the assignment, learners first estimate the number of trees on a tree farm using random sampling. To improve their own response they then evaluate provided...
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Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.