Illustrative Mathematics
Security Camera
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
Curated OER
Similar Triangles
In this similar triangles worksheet, 10th graders solve and complete 10 different problems related to determining the sides of similar triangles. First, they write three equal ratios to show the corresponding sides that are proportional....
Curated OER
Exploring Similar Polygons
In this exploring similar polygons worksheet, 10th graders solve 9 various types of problems related to determining whether each polygon is similar or not. First, they write 3 equal ratios to show corresponding sides are proportional to...
Curated OER
Right Triangles
In this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
Curated OER
Word Based Proportions
In this word based proportions worksheet, 6th graders solve and complete 10 different problems that include determining various word based proportions. They determine the number of miles a person can travel in particular number of hours....
Illustrative Mathematics
Robot Races
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the instructional...
Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Curated OER
Three Bean Salads
In this math instructional activity, student compare the recipes for three different salads. Using the concepts of percents and proportions the amount of beans is calculated.
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Mean Twisters - Mean Proportional
In this mean proportional worksheet, students work in pairs to solve right triangle problems. They use ratios and proportions of similar triangles to determine a missing length. This two-page worksheet contains 16 problems.
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Quiz: Similarity
In this similarity worksheet, students use the characteristics of similar figures to determine the length of one side of a polygon, the height of a tree, or the shortest side of a triangle. They also identify similar figures. ...
Curated OER
Proportional Division
In this proportional division activity, students read through an example and complete 5 practice problems using proportional division. Students then complete 18 problems on their own in which they use proportional division. They can...
Yummy Math
US Holiday Candy Sales
Candy is a big business! Calculate the amount of money consumers spent on major holidays—Easter, Halloween, Christmas, Hanukkah, and Valentine's Day—based on the total amount of candy sales from 2011 and the percentage of each holiday's...
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
Curated OER
Similar Polygons
In this similar polygons instructional activity, 10th graders solve and complete 20 various types of problems. First, they solve each proportion. Then, students write a ratio expressing the slope of a line through each pair of points. In...
Curated OER
Fractions and Chemistry
In this fractions in chemistry learning exercise, students solve 2 problems where they state all the answers as simple fractions or integers. They determine ratios of molecules in gasoline and they find ratio of molecules in the creation...
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What are Atoms?
In this atom worksheet, students read about Dalton's contributions to the structure of the atom. They answer five questions about Dalton's ideas, the law of multiple proportions and the law of definite proportions.
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Using Proportions Self Check Quiz
In this geometry worksheet, students identify the different ratios of triangles using the theorems. They use SSS, SAS, ASA and AAS to differentiate between triangles. There are 7 questions with an answer key.
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Applications Involving Quadratic Equations
In this algebra worksheet, students solve 6 word problems. Problems include the necessary equations. Students solve 5 formulas by isolating the indicated variable.
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Rate-of-Work Problems
In this rate-of-work worksheet, 9th graders read word stories and gather information. They write an equation for the story and solve the problem. There are five problems, with answers, provided on this one-page worksheet.
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...
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.
Curated OER
Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Curated OER
Angular Size and Similar Triangles
In this angular size and similar triangles worksheet, students use the properties of similar triangles and the ratios of sides to solve for unknowns in given diagrams.
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