EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
Achieve
Greenhouse Management
Who knew running a greenhouse required so much math? Amaze future mathematicians and farmers with the amount of unit conversions, ratio and proportional reasoning, and geometric applications involved by having them complete the...
Curated OER
Candy Machine
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear...
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.
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Concord Consortium
Heights and Weights
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...
Curated OER
The Unitary Method
In this math worksheet, learners are given a proportion statement. They use this ratio to solve related questions. Students compute the amount of food needed for one person and then for 500 people. Learners convert between Euros, Pounds,...
Curated OER
Percent Equation 3
For this percent equation worksheet, students use proportions to find the percent of a given number. This two-page worksheet contains 12 problems. Answers are provided on the last page of the worksheet.
Curated OER
A Geometry Worksheet - Similar Triangles
In this similar triangles activity, students find the scale factor of 6 sets of similar triangles. Students find the scale factor of two similar triangles given a sketch with measurements. Students use proportions to find a missing side...
Curated OER
Ratio and Unitary Methods
For this ratios worksheet, middle schoolers solve 4 short answer problems. Students determine the number of girls/boys and oranges/water given a ratio.
Curated OER
Leveled Problem Solving Using Proportions with Similar Polygons
In this proportions and similar polygons activity, students solve the problems that use proportions, rations, fractions, and similar polygons.
Curated OER
Taste Test-- Ratios
In this math worksheet, students mix four "cocktails" of orange juice and lemonade in the different rations specified. Students rate the drinks and determine their favorite combination. Students answer 10 questions about the ratios in...
Curated OER
Ratios
For this ratios worksheet, 6th graders solve and complete 3 different types of problems. First, they divide each amount shown in the ratio of 2 to 3. Then, students explain why the amounts worked out to be whole numbers.
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Illustrative Mathematics
Buying Protein Bars and Magazines
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
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...
Noyce Foundation
Measuring Mammals
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Curated OER
Ratio and Proportion
For this ratio and proportion worksheet, students solve 12 problems in which the ratios of shaded and unshaded tiles are calculated. Students use the provided pictures to write ratios.
Curated OER
Ratio and Proportion
In this ratio and proportion worksheet, 6th graders solve and complete 5 different types of problems. First, they determine the amount of money each person receives. Then, students calculate the recipe at the bottom of the sheet for 3...
Balanced Assessment
Scale Charts
Develop scales using tables. Pupils complete charts to show equivalent scale factors before using the completed tables to determine the sizes of scale drawings. They finish the lesson and demonstrate their understanding by completing a...
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