Curated OER
Proportionality Using Labyrinths and Mazes
Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...
Curated OER
Learning Ratios and Proportions Through Scale Drawings
Middle and high schoolers explore the concept of scale drawings. They discuss what a scale is and that scales provide a ratio. Pupils construct a scale drawing of their classroom using graph paper.
Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Curated OER
Proportionality, Ratios and Constant Variation
Students use Scion Image to estimate the proportion of space images. In this proportion lesson, students investigate the online site of Image of the Orbitor and relate the dimensions and sizes to known sizes.
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
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
Raytheon
Ratios and Rates
Here is a ratios, rates, and proportions worksheet which invites learners to solve word problems dealing with ratios, rates, and proportions. They complete 26 problems total.
Curated OER
Proportions
In this proportions worksheet, students solve and complete 7 various types of problems. First, they determine the better buy based on the information provided for each word problem. Then, students find the value of a variable given its...
Curated OER
Using Proportions
In this similarities worksheet, students set up ratios and solve proportions using algebra. All of the equations turn out to be linear with no quadratics to solve. There are 20 questions.
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Illustrative Mathematics
Two-School Dance
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
Curated OER
Effects of Changing Dimensions Proportionally
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page worksheet contains ten problems. Answers are included.
Illustrative Mathematics
Art Class, Assessment Variation
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
Curated OER
Using Ratios
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
Curated OER
Math Regents Exam Questions: Verbal Problems Involving Ratio
In this ratios instructional activity, students solve 6 multiple choice and short answer word problems. Students use ratios of boys to girls and deer to foxes to find the number of boys, girls, deer, and foxes in a given population.
Curated OER
Math Regents Exam Questions: Proportions
In this proportions activity, students solve 1 multiple choice question. Students determine the amount of milk needed to keep a cake recipe proportional.
Curated OER
Solving Proportions
In this solving proportions worksheet, 9th graders solve and complete 16 different equations that include using proportions. First, they define a proportion and begin by eliminating the fractions in each. Then, students multiply both...
Curated OER
Similar Triangles and Proportions
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
Curated OER
Ratio and Proportion: Basic Operations and Applications
Learners explore example problems dealing with ratios and proportions. Afterward, they read story problems and solve them using ratios and proportions. This four-page worksheet contains six multi-step problems.
Curated OER
Get Geared Up
Middle schoolers calculate gear ratio as they solve word problems. They discuss and find slopes as they relate to real life. Additionally, they hey use ratio and proportion to make predictions and solve problems.
PBS
The Lowdown — Exploring Changing Obesity Rates through Ratios and Graphs
Math and medicine go hand-in-hand. After viewing several infographics on historical adult obesity rates, pupils consider how they have changed over time. They then use percentages to create a new graph and write a list of questions the...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Curated OER
Rations and Proportions
In this ratios and proportions worksheet, high schoolers answer 8 questions in which they are setting up and solving proportions. One problem also consist of several polygons in which students must identify missing information.