Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
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.
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions
Speed up your scholars' understanding of ratios. Class members compare ratios related with speeds presented in different representations. They then use the unit rates to make the comparisons.
PBL Pathways
Students and Teachers
Predict the future of education through a mathematical analysis. Using a project-based learning strategy, classes examine the pattern of student-to-teacher ratios over a period of years. Provided with the relevant data, learners create a...
Curated OER
Lab Activity: Model of the Planets
This worksheet leads the class through the calculations needed to construct circles to represent the planets of our Solar System. The actual values are provided, as are suggested calculations to create the scale diameters. The ten...
Workforce Solutions
Miniature Gulf Coast Project
Scholars show what they know about data collection and analysis with an activity that examines a smaller population of Houghton, Texas. Independently or in pairs, learners identify their research question, gather, graph, and analyze...
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry instructional activity, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
Ratio and Rate
In this Algebra I worksheet, students solve problems in which they differentiate between a ratio and a rate. The nine page worksheet contains explanation, worked examples, and seventeen problems. Answers are not included.
Curated OER
Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
Curated OER
Ratios
Sixth graders use ratios to solve unit problems. Pupils write ratios in three different ways. In groups, they perform a bean activity, find ratios, and write them in simplest form.
Curated OER
Family Letter - Foreign Currency and Exchange Rates: Proportions and Ratios
In this proportions and ratios worksheet, students solve 6 short answer problems. Students find the foreign currency exchange rates for six countries. Students express the exchange rate as a proportion or ratio.
Helping with Math
Ratio and Proportion: Writing Ratios (1 of 2)
Here is the first of two printable ratio worksheets. For the first three problems, pupils count the numbers of two different objects and simply write down the ratios. There are then four problems in word form for which they also write...
Curated OER
Ratio and Proportion
Students explore ratios and proportions. In this ratios instructional activity, 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...
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.
Curated OER
Number: Ratio
Students explore the concept of ratios. In this ratio lesson, students complete a ratio worksheet and play a multiplication game that requires them to solve multiplication facts.
Curated OER
Ratio and Proportion: Proportional Ratios
In this ratios activity, students write yes or no for if the ratios given are proportional or not. Students complete 7 number problems and 5 money problems.
Curated OER
Introduction To Ratios
Students engage in a lesson that is involved with ratios. They use the jigsaw in order to actively take part in the lesson. Students play the game with the ratio puzzle pieces. The puzzle is completed while using the follow up exercises.
Curated OER
Shots, Standings, and Shopping
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
Curated OER
Class of Gold
How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources. Note: Some of the resources are older and may be missing some of the links, but the...
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
The Attack of the Manhole Monsters
Students explore the concept of similarity. They examine such topics as ratio of corresponding sides, internal ratios and scaling factors. After watching a video, student groups perform experiments outside the school building.
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
60-30-10
Learners 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.