EngageNY
Solving Problems in Two Ways—Rates and Algebra
Build confidence by using multiple approaches to problem solving! This resource uses a visual and algebraic approach to solving application problems. A discussion is included about efficient approaches to different problems.
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
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.
Curated OER
Scale/Ratio
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science class....
Curated OER
Problem Solvers
Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Illustrative Mathematics
Voting for Two, Variation 2
John won the election, but by how much more? Your learners will calculate how many votes each candidate received in order to determine the difference. Use with other lessons provided in the series to practice different variations of this...
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
EngageNY
Comparing Ratios Using Ratio Tables
Decide which concentration of mixtures is the strongest. Pupils use tables to compare ratios involved in mixtures. They use two methods to make the comparisons — by finding equivalent values within the tables or by comparing the values...
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
Granite School District
Types of Ratios
Ratios can be written in a number of ways including whole to part, part to part, part to whole. For each problem, young mathematicians write the given ratio and classify it based on those categories.
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Curated OER
Writing Ratios Worksheet
In this ratios worksheet, learners write ratios that represent the one and two digit numbers in the word problems. Students complete 7 ratios.
Mathed Up!
Ratio
Reinforce math skills with an eight-page exercise comprised of 15 problems covering the concept of ratios.
EngageNY
Finding a Rate by Dividing Two Quantities
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
Curated OER
The Math of Science: Ratios and Proportions
In this ratio and proportion worksheet, students learn about ratios and how to solve problems with ratios and proportions. They solve three problems using what they learned.
Curated OER
Ratio and Proportion
In this ratio and proportion learning exercise, students solve 22 short answer and multiple choice problems. Students use rates, proportions, and ratios to solve each problem.
Curated OER
Who Wants to Win Millions - Division
Use this presentation to focus on division skills. Learners answer division questions involving one, two and three digits. There are also word problems to foster critical-thinking skills.
Curated OER
Equivalent Ratios
In this ratios worksheet, learners complete a variety of online exercises involving writing twelve ratios in their simplest form, writing nine ratios in the form of 1:n, writing six ratios in the form n:1 and solving seven ratio word...
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
Ratio Problems and Bar/Block Models Two
Learners complete word problems about ratios using fractions, money, and more. Pupils complete four problems.
Curated OER
One Size Fits All, Part 1
Can you tell how tall someone is just by looking at their feet? In this activity, young mathematicians measure their height, arm span, and foot size, graph their findings, and answer questions about how these measurements are related....
Curated OER
Unit 5: Worksheet 3 - Similar Triangles
In this similar triangles worksheet, students use proportions to solve for the missing sides of similar triangles. This two-page worksheet contains 16 multi-step problems.
Curated OER
Algebra Worksheet: Number systems
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...