Lesson Plan
Illustrative Mathematics

Ratio of Boys to Girls

For Teachers 5th - 7th Standards
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
Lesson Plan
Curated OER

Scale/Ratio

For Teachers 6th - 8th
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science...
Lesson Plan
Illustrative Mathematics

Price per Pound and Pounds per Dollar

For Teachers 5th - 7th Standards
Help learners understand the concept of unit rate as it is applied to buying beans at a grocery store. The objective is to determine the unit rate in two ways, and then apply each ratio to an additional problem. The attached commentary...
Handout
PBS

The Lowdown — Living Wages in CA: Ratio and Rate in the Real World

For Students 5th - 7th Standards
How much money is enough money? Future wage earners explore the minimum hourly wage and then use it to calculate monthly and yearly earnings. They use an interactive to consider living costs and determine whether earning a minimum wage...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 1

For Teachers 5th - 7th Standards
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, young scholars will only consider two at a time, making the first...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 2

For Teachers 5th - 7th Standards
Here is another opportunity for math learners to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 3

For Teachers 5th - 7th Standards
Get your learners to think outside the box. Students require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes for...
Lesson Plan
Illustrative Mathematics

Jim and Jesse's Money

For Teachers 5th - 7th Standards
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
Interactive
PBS

KidVid: Equivalent Ratios

For Teachers 6th - 7th Standards
There's no equivalent to this interactive. To learn about equivalent ratios, scholars first watch a video of a pupil trying to find an equivalent ratio. They consider whether the pupil is correct and explain their reasoning. Then, they...
Lesson Plan
Curated OER

The American Flag-Basic Ratios and Proportions

For Teachers 9th - 10th
Students solve problems with ratios and proportions. In this algebra lesson,students apply the concept of ratios and proportions to the real world.
Lesson Plan
Curated OER

How Big Is That Star?

For Teachers 6th - 9th
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Assessment
1
1
Balanced Assessment

Egyptian Statue

For Students 9th - 12th Standards
Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.
Lesson Plan
Curated OER

The Golden Ratio

For Teachers 9th - 11th
Young scholars solve problems using ratios and proportions. In this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
Lesson Plan
Curated OER

Surface to Volume Ratios

For Teachers 9th - 12th
High schoolers measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The lesson is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Lesson Plan
Curated OER

Mixing Up Ratios

For Teachers 9th - 10th
Students solve problems of ratio and proportions using hands on. For this algebra lesson, students vary the concentration of a fruit drink using parts of a ratio.
Lesson Plan
Curated OER

Relative Ratios

For Teachers 6th - 8th
Students discover that proportions are made up of equal ratios each containing the same building blocks. They, using the Internet, apply their knowledge of direct relationships and proportions to problems in planetary science.
Lesson Plan
Teach Engineering

Discovering Phi: The Golden Ratio

For Teachers 6th - 8th Standards
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...
Lesson Plan
NTTI

If You Hopped Like a Frog

For Teachers 6th - 8th Standards
Get your frogs hopping by introducing them to the concepts of ratio and proportion. As a class, they perform arithmetic operations using ratios then discover how they represent quantitative relationships. In groups, they write their own...
Lesson Plan
Curated OER

Super Size It, Please!

For Teachers 8th - 11th
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
Lesson Plan
Curated OER

How Many Noses Are in Your Arm?

For Teachers 6th - 8th
Middle schoolers apply concept of ratio and proportion to determine length of Statue of Liberty's torch-bearing arm. They view video of Statue of Liberty, determine how long statue's arm would be if its nose measures four feet six...
Lesson Plan
Discovery Education

Understanding Probability

For Teachers 6th - 8th Standards
Young scholars investigate probability. They will define probability as the likelihood of an event occurring. Then, they determine the probability of sitting in a particular seat on a plane. They also set up ratios of various seating...
Activity
Curated OER

How Gear Systems Work: A Research Project

For Teachers 4th
Students apply information regarding simple machines along with the math concept "ratios." The teacher introduces the concept that technology is the application of scientific knowledge and mathematics concepts to solve a problem. This is...
Lesson Plan
Mathematics TEKS Toolkit

Am I Related to Myself?

For Teachers 4th - 6th Standards
Elementary or middle schoolers use ratios to discover some nearly constant relationships between measurements of parts of the human body. They find and record pairs of measurements and determine the relationship between the pairs. Pupils...
Lesson Plan
Curated OER

Data Analysis and Froot Loops

For Teachers 6th - 8th
Use this probability and graphing lesson to have your learners work with a partner to make a necklace out of Froot Loops. They record the cereal colors randomly chosen and strung, graph their data, then use a ratio formula to determine...

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