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...
Bowland
Reducing Road Accidents
By making the following changes to the roads, we can prevent several accidents. A multiple-day lesson prompts pupils to investigate accidents in a small town. Pairs develop a proposal on what to do to help reduce the number of...
Achieve
False Positives
The test may say you have cancer, but sometimes the test is wrong. The provided task asks learners to analyze cancer statistics for a fictitious town. Given the rate of false positives, they interpret the meaning of this value in the...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
Bowland
Ice Cream
Make sure there is enough ice cream on hand. Learners try to find out how much ice cream to buy for a sports event. Scholars use a pie chart showing the percent of a sample of people who like different flavors of ice cream. Using the...
Bowland
Taxi Cabs
Determine the cheapest way to the airport. Pupils read a scenario about trying to get 75 people to the airport using two different sizes of taxis. Learners calculate the number of smaller taxis needed given a number of large taxis and...
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
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
Countdown Challenge: Similarity
In this similarity worksheet, students use similar rectangles to find the length of a diagonal. They use symbols and write paragraphs to explain the problem. This one-page worksheet contains one similar problem with 13 related questions.
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.
Curated OER
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...
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...
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
Direct Variation
In this algebra activity, students solve equations by applying direct variation relationship. They solve problems using proportions and ratios while using direct variation. There are 3 problems with an answer key.
Curated OER
Three Digit Addition
In this math worksheet, students solve three digit addition problems. Some of the addition problems require regrouping. The problems are set up to solve vertically.
Curated OER
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.
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
Basic Skills: Unit Rates
In this unit rates worksheet, students determine the unit rate of given data. This three-page worksheet contains 20 problems. Answers are provided on the last page of the worksheet.
Curated OER
Family Letter and Activity: Cars, Trucks and Percents
In this math worksheet, students will take home a letter to their parents explaining that they are studying Chapter 10: Ratio, Proportion and Percent. Then students will complete a homework activity in which they ask family and friends...
Inside Mathematics
Marble Game
Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.