Curated OER
Introducing the Concept: Rates
Sixth graders explore rates as a specific type of ratio, using visual examples of unit rates and unit prices to increase comprehension. They also practice solving problems that are modeled by the instructor. The well-scripted lesson is...
Curated OER
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.
EngageNY
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...
Curated OER
Unit 5: Worksheet 2 - Ratios
In this ratio worksheet, students investigate the relationship between the ratio of two sides of similar triangles. Afterwards, they convert fractions, decimals, and percents. This three-page worksheet contains approximately 35...
Curated OER
Sore Throats, Variation 1
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
EngageNY
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.
Curated OER
"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...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
Noyce Foundation
Snail Pace
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!
Curated OER
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.
University of Arkansas
Twizzling Fractions
Using food as a manipulative is one of the best ways to incorporate hands-on learning in the classroom. This hands-on approach allows young mathematicians to compare, order, and identify fractions with the use of Twizzlers® and fraction...
EngageNY
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.
EngageNY
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 plan in a series of 29. They represent percents as fractions, decimals, ratios, and models. The scholars...
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Curated OER
A Recipe For Success
Sixth graders explore a relevant application of ratios and proportions. They apply this concept through guided practice and interactive feedback.
Curated OER
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.
Curated OER
Similar Triangles
In this similar triangles worksheet, 10th graders solve and complete 10 different problems related to determining the sides of similar triangles. First, they write three equal ratios to show the corresponding sides that are proportional....
Curated OER
PrimeTime Math: Cliffbound!
Students 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...
Curated OER
Proportions
In this proportion worksheet, students identify equivalent fractions and solve proportions. This one-page worksheet contains ten problems.
Curated OER
Mixing Colours
Young scholars 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...
Curated OER
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.
Curated OER
Math Homework: Fractions
In this fractions worksheet, students complete true/false questions, find equivalent fractions and use order of operations to solve problems that included exponents.