Centre for Innovation in Mathematics Teaching
Ratio and Proportion
Middle schoolers review the definition and rules for equivalent fractions. Additionally, they are introduced to equivalent ratios. They write examples of ratios from the board, and they come to the board to write the correct equivalent...
EngageNY
Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial instructional activity on the topic. They learn the definition of equivalent ratios and use it to build others in the...
Curated OER
Horatio's Ratios
View a PBS video entitled Horatio's Drive and explore Horatio's Ratios. Collaborative learners form groups to use Mapquest to determine distances covered. They generate the mathematical averages, ratios, and rates in order to calculate...
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth instructional activity in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or...
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...
Flipped Math
Trig Ratios
Take ratios of sides to a new level. Pupils learn the definitions of the three basic trigonometric ratios in right triangles. Using the definitions, scholars find missing lengths in right triangles, based on a known angle. Individuals...
EngageNY
The Most Famous Ratio of All
Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...
Curated OER
The Golden Ratio
Students solve problems using ratios and proportions. In this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
Curated OER
Ratios & Proportions: Introduction
In this ratios worksheet, students, after reviewing and discussing the definition of what a ratio is and then studying the example shown, problem solve ten multiple choice ratio math problems.
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...
Curated OER
How Gear Systems Work: A Research Project
Students apply information regarding simple machines along with the math concept "ratios." The teacher introduces the concept that technology is the application of scientific knowledge and mathematics concepts to solve a problem. This is...
Willow Tree
Ratios and Proportions with Congruent and Similar Polygons
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Curated OER
The Tangent Ratio
Students calculate the tangent ratio given a right triangle. For this trigonometry lesson, students use a right triangle and the Pythagorean Theorem to solve problems.
Virginia Department of Education
Field Goals, Balls, and Nets
Score a resource on ratios. Young mathematicians learn about different ways to express ratios. Using sports data, they write statements about the statistics in ratio form.
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 6)
Fifty-eight flashcards make up a set designed to reinforce math vocabulary. Within the set, you'll find bold-faced word cards as well as definition cards that offer a labeled example. Terms include base, percent, theoretical...
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
Curated OER
Robot Ratios
Students measure the activity and parts of a robot. In this algebra lesson, students explore ratio and proportion using their classroom. They apply properties of fractions as they cross multiply to solve problems.
Curated OER
Scale factors: Ratios and Proportions
Students create building and models using scale factors. In this geometry instructional activity, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross...
Curated OER
Ratio and Proportion
Students explore ratios and proportions. In this ratios lesson, students work in groups to identify the ratio of boys to girls, as well as the ratio of vowels to consonants in their names. Given a bag of candy, students work in groups to...
Curated OER
Using Variables And Ratios To Get You in the Right Gear
Students examine the use of variable and ratio in everyday situations including figuring out the gear ratios for the gears on a 12 speed bike. They use the bubble sort technique to write a computer program which will determine the...
Curated OER
Ratios
Sixth graders investigate the concept of ratios and how they can be used to represent the comparison of quantities. The lesson is taught using a table or graph to compare two categories of data.