Illustrative Mathematics
Finding a 10% increase
A quick problem to test your mathematicians' knowledge on percent increase. Two different solutions are provided, mental math and computing. Ask your learners to include a description of what they did to supplement their answer.
Illustrative Mathematics
Tax and Tip
Finding out how to calculate tax and tip is a valuable skill that all young adults should be able to do without a calculator. Learners are given a bill and asked to calculate the tax, tip, and total amount. Calculations can be exact or...
Curated OER
60-30-10
Students use ratios and proportions to represent quantitative relationships as they investigate the concept of how percentages are used by designers. Students decorate the same room using three different percentages of colors.
Curated OER
Ratios and Proportions Word Problem Worksheet
In this ratios and proportions worksheet, students solve 7 word problems. They are given the ratio in each problem so that they can apply it when solving the problem.
Curated OER
What's Your Shoe Size? Linear Regression with MS Excel
Learners collect and analyze data. In this statistics lesson, pupils create a liner model of their data and analyze it using central tendencies. They find the linear regression using a spreadsheet.
Utah Education Network (UEN)
Linear Relationships: Tables, Equations, and Graphs
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
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.
Illinois State Board of Education
Is It Linear?
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
Curated OER
Graphing X, Y, Z
Seventh graders explore how proportion controls the image of a drawing. They examine a coordinate plane and discuss plotting. Student experiment drawing an object one size, and then drawing an identical object on a different scale.
Curated OER
Investigation - The Local Bagel Shop
Sixth graders investigate unit pricing to find which cup of coffee is a better buy. They use ratio and proportions to solve problems involving a change of scale in drawings, maps, recipes, etc. Students determine the unit cost of items...
Curated OER
Similar Triangles
Tenth graders practice solving proportions from similar triangles. They watch a PowerPoint presentation and complete a worksheet each of two days of this lesson. Links for worksheets and PowerPoint presentations are included with this...
Florida Center for Instructional Technology
Integrating Mathematics into Literature
You class will read Cucumber Soup by Vickie Leigh Krudwig as an anticipatory set for this instructional activity on ratios. They make models of the insects in the story and then use them as a source of data for this ratio and proportion...
Curated OER
Frame Yourself
Young ratio masters calculate and cut a frame (out of poster board) to accurately create an even frame around a picture of themselves. The frame needs to be proportional to the picture with constraints determined by the instructor.
Curated OER
Modeling Linear Relationships
Young scholars graph lines using the slope and y-intercept. In this algebra lesson, students create data using tables and equations. They use their data to make predictions and draw conclusion.
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
Place Value Practice (Tenths and Hundredths)
Math scholars recognize place value and practice writing numbers in different forms, such as expanded notation, decimals, and improper fractions. They complete exercises that include creating models for fractions and decimals and...
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.
Curated OER
Measurement 3: Rulers
In this measurement worksheet, students measure the linear distance, in inches, between stated objects. Next, they determine the actual distance, in miles.
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
Developing the Concept: Proportions
Students solve problems with proportions. In this proportions lesson, students solve word problems as they learn about how to set up formulas for solving proportions. Students then solve problems using proportions.
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.
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
Proportions and Scale Factor for Measurement
Students explore the concept of proportion. In this proportion instructional activity, students use google maps to find the distance the their school is from home. Students discuss what a scale factor is through teacher led discussion....
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.