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Illustrative Mathematics
Ratio of Boys to Girls
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...
Curated OER
Scale/Ratio
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...
Illustrative Mathematics
Price per Pound and Pounds per Dollar
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...
PBS
The Lowdown — Living Wages in CA: Ratio and Rate in the Real World
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...
Illustrative Mathematics
Voting for Three, Variation 1
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...
Illustrative Mathematics
Voting for Three, Variation 2
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...
Illustrative Mathematics
Voting for Three, Variation 3
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...
Illustrative Mathematics
Jim and Jesse's Money
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...
PBS
KidVid: Equivalent Ratios
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...
Curated OER
The American Flag-Basic Ratios and Proportions
Students solve problems with ratios and proportions. In this algebra lesson,students apply the concept of ratios and proportions to the real world.
Curated OER
How Big Is That Star?
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...
Balanced Assessment
Egyptian Statue
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.
Curated OER
The Golden Ratio
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.
Curated OER
Surface to Volume Ratios
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...
Curated OER
Mixing Up Ratios
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.
Curated OER
Relative Ratios
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.
Teach Engineering
Discovering Phi: The Golden Ratio
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...
NTTI
If You Hopped Like a Frog
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...
Curated OER
Super Size It, Please!
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...
Curated OER
How Many Noses Are in Your Arm?
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...
Discovery Education
Understanding Probability
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...
Curated OER
How Gear Systems Work: A Research Project
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...
Mathematics TEKS Toolkit
Am I Related to Myself?
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...
Curated OER
Data Analysis and Froot Loops
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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