EngageNY
Identifying Proportional and Non-Proportional Relationships in Tables 2
Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The lesson plan builds upon previous parts and has pupils analyze tables to determine whether they represent a...
Curated OER
Proportionality, Ratios and Constant Variation
Young scholars 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
How Many Noses Are in Your Arm?
Middle schoolers apply concept of ratio and proportion to determine length of Statue of Liberty's torch-bearing arm. They view video of Statue of Liberty, determine how long statue's arm would be if its nose measures four feet six...
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...
PBS
Human Tree: Ratios
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
PBS
Math with Jake: Transposition Using Ratios
The star of the show is ratios. The informative resource explains how to transpose music using ratios. Individuals transpose the song "Twinkle, Twinkle" in the activity by applying their ratio skills. The activity challenges class...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
PBS
Math with Jake: Frequencies and Pitch
Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...
Curated OER
Proportionally Speaking!
Pupils are introduced to the concept of proportions. In groups, they practice solving equations and identify the fraction and ratio as well. They complete a worksheet following the steps outlined to them to review the concept.
Primary Resources
Ratio and Proportion
A great way to practice ratio and proportion problems. There are three word problems that set the stage, images and table help learners see how each problem is solved. A very useful tool when introducing or reviewing proportions and ratios.
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...
EngageNY
Finding Equivalent Ratios Given the Total Quantity
Complete incomplete tables by using proportions. Pupils use information provided to complete tables based on proportions. Class members use their knowledge of part-to-part ratios and totals to find the missing information.
EngageNY
Ratios of Fractions and Their Unit Rates
Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...
Math Drills
Autumn Ratios
Bring fall to your math class this year with a seasonal worksheet! Learners practice writing and simplifying ratios with a proportions worksheet that uses colorful autumn foliage to represent each figure.
Curated OER
Baseball Proportion: Student Worksheet
Here is a simple and clever activity which illustrates the concept of mathematical proportion and size quite effectively. In it, two pupils hold baseball bats: one is a regulation-size bat, the other is a miniature souvenir bat. The...
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
Equivalent Ratios (Practice 18.2)
In this ratios worksheet, students solve 22 problems in which equivalent ratios are found or ratios are expressed in simplest form.
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
Equivalent Ratios (Homework 18.2)
In this ratios worksheet, students solve 20 problems that pertain to equivalent ratios and writing ratios in the simplest form.
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...
Curated OER
Ratios, Unit Rates, and Proportions
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
Curated OER
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...