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The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar triangles.
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"NSN, Fractions, Percents, Ratios, Rates" Investigations
Sixth graders engage in an investigation about the concepts related to fractions. They read, represent, compare, and order proper and improper fractions, and mixed numbers. They demonstrate an understanding of relationships involving...
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Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
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Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
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Paper Pool
Students explore ratio and proportion, GCF, and LCM. In this middle school mathematics lesson, students play an interactive Paper Pool game that provides an opportunity to increase their understanding or ratio, proportion, GCF, and...
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What Are the Odds?
Middle schoolers identify and interpret various ways of expressing probability as a decimal, fraction, percent, or ratio. They solve problems based on probability as they apply to real world applications.
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Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
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Ratio Basketball
Students, in teams of four, practice shooting free throws while mentally converting the ratio of shots made to those thrown into a percent. They chart and record the ratio, decimal and actual percentage earned after each round.
Illustrative Mathematics
Molly's Run
A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...
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Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
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Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th lesson in a series of 29. They represent percents as fractions, decimals, ratios, and models. The scholars...
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What Is a Trigonometric Identity?
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
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Cutting the Wood
High schoolers demonstrate and describe the effect of multiplying or dividing by a fraction less than or greater than one. They create and explain a variety of equivalent ratios that represent a given situation. Students draw a picture...
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A Recipe For Success
Sixth graders explore a relevant application of ratios and proportions. They apply this concept through guided practice and interactive feedback.
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Jazz and Math: The Beat Goes On
Students collect real data through listening, counting and timing jazz pieces.They use ratios, rates, and proportions to report collected data and demonstrate an understanding of the concepts of rhythm and tempo in music.
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Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction activity, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
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Crafty Fractions
Fourth graders study fractions. In this fractions lesson, 4th graders define fraction-related vocabulary words. Students use beads to study fractions. Students draw shapes to study fraction equivalency and brainstorm fractions they use...
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PrimeTime Math: Cliffbound!
Pupils are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
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Using Proportions to Solve Problems
Skittles and math? Pupils will work as a class to determine how many orange Skittles are in a large bag by using proportions. They will problem solve, estimate, and share their thinking. Then, they will each receive a small bag of...
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Introducing the Concept: Proportions
Students measure distances. In this proportions lesson, students use a map to find how far it is between different cities. Students use their knowledge of measurement, multiplication and fractions to find the distances.
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Percent of a Quantity
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
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Mixing Colours
Students explore ratios and their relationships to fractions. They explain the process of identifying ratios and describe their comparison. Students write ratios as fractions and by using colons. They convert the ratios to percents.
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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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