Activity
National Council of Teachers of Mathematics

Math Challenge #23: Fractals

For Students 6th - 8th
Young scholars explore the concepts of Sierpinski's triangle, ratios, and concentrations. In this exploratory lesson, students are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate mpg for...
Lesson Plan
Illustrative Mathematics

Voting for Two, Variation 1

For Teachers 5th - 7th Standards
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Lesson Plan
Illustrative Mathematics

Voting for Two, Variation 4

For Teachers 5th - 7th Standards
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Lesson Plan
Curated OER

Froot Loop Favorites

For Teachers 6th - 8th
In this Froot Loop favorites worksheet, students solve and complete 3 different problems that include data tables related to their Froot Loop favorites. First, they determine what fraction of the class voted for each color listed in the...
Lesson Plan
Curated OER

Froot Loops to the Max - 3

For Teachers 6th - 8th
Learners complete and solve five questions/problems related to a box of Froot Loops cereal. First, they determine how many of each color of Froot Loops are in the box. Then, pupils determine which color had the greatest frequency and...
Lesson Plan
Curated OER

Ratios

For Teachers 4th
Fourth graders complete a taste test of different sandwiches, rate them, and then put them in a ratio graph. In this ratio lesson plan, 4th graders write what they learned about ratios after this activity.
Worksheet
Curated OER

Taste Test-- Ratios

For Students 5th - 6th
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...
Lesson Plan
Virginia Department of Education

Special Right Triangles and Right Triangle Trigonometry

For Teachers 9th - 11th Standards
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Worksheet
Curated OER

Shaquille O'Neal Hand/Foot Span: Student Worksheet

For Students 4th - 6th
Here's a clever math worksheet that has learners measure their hand span, foot length, come up with a ration, then use that information to figure out the hand span, and foot length of basketball giant Shaquille O'Neal. A good activity!
Lesson Plan
Curated OER

Draw an Inch, Walk a Mile

For Teachers 4th - 6th
Students work in small groups to solve the problems presented. The main project, mapping the classroom, use these discussions to collaborate in creating a tangible demonstration of their understanding.
Lesson Plan
West Contra Costa Unified School District

Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
Lesson Plan
EngageNY

Applying Tangents

For Students 9th - 10th Standards
What does geometry have to do with depression? It's an angle of course! Learners apply the tangent ratio to problem solving questions by finding missing lengths. Problems include angles of elevation and angles of depression. Pupils make...
Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Activity
Illustrative Mathematics

Coins in a Circular Pattern

For Teachers 9th - 11th Standards
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Interactive
PHET

Proportion Playground

For Students 5th - 7th Standards
Ratios are all around you. A fun interactive has scholars investigate ratios and proportions in different situations. These include creating bracelets with different ratios of beads, mixing paint, adjusting the length and width of a...
Lesson Plan
Illustrative Mathematics

Track Practice

For Teachers 6th - 8th Standards
And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...
Lesson Plan
Nuffield Foundation

Effect of Size on Uptake by Diffusion

For Teachers 9th - 12th Standards
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Lesson Plan
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Instructional Video3:48
PBS

Math with Jake: Frequencies and Pitch

For Students 6th - 8th Standards
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...
Lesson Plan
EngageNY

Counting Problems

For Teachers 7th Standards
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
Worksheet
Curated OER

Problem solving

For Students 5th - 6th
In this problem solving worksheet, students use multiplication and ratio strategies to solve the problems. Students complete 6 problems.
Lesson Plan
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Tech Museum of Innovation

Hoop Glider Design Challenge

For Teachers 4th - 8th Standards
The fourth installment of a five-part unit has young engineers designing and testing hoop gliders. They adjust the ratio of the front loop and back loop of the glider to determine the best design for the longest flight.
Worksheet
Curated OER

Using Proportions

For Students 10th
In this using proportions worksheet, 10th graders solve 9 various types of problems that include two word problems suing proportions. First, they use the table to find the ratios of each and express each ratio as a decimal rounded to...
Lesson Plan
Curated OER

Shaquille O'Neal Hand/Foot Span

For Teachers 8th
Eighth graders measure foot length and hand span in this experiment to determine the ratio. They apply the ratio to determine Shaquille O'Neal's hand span if given his shoe size.

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