Curated OER
Ratios and Equivalent Ratios
In this equivalent ratios learning exercise, students simplify 6 ratios and write each in 2 different ways. Students solve 8 proportional equations using equivalent ratios to find a missing term. Students solve 2 test prep questions...
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...
EngageNY
Equivalent Ratios Defined Through the Value of a Ratio
Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within various...
EngageNY
Equivalent Ratios II
What is the connection between equivalent ratios? Class members first find the multiplication factor used to create equivalent ratios. Next, they take that information to determine whether ratios are equivalent. The second lesson on...
EngageNY
Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial activity on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
EngageNY
Solving Problems by Finding Equivalent Ratios II
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions.
EngageNY
Ratios and Unit Rates
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
Centre for Innovation in Mathematics Teaching
Ratio and Proportion
Middle schoolers review the definition and rules for equivalent fractions. Additionally, they are introduced to equivalent ratios. They write examples of ratios from the board, and they come to the board to write the correct equivalent...
EngageNY
From Ratio Tables to Double Number Line Diagrams
How much sugar is in one bottle? Pupils use double number line diagrams to determine the amount of sugar in a 1L bottle of cola. The teacher leads a discussion on ways that double number lines can be of assistance in solving a problem...
Curated OER
introducing the Concept: Using Ratios and Percents
Young scholars convert decimals and fractions to percents. In this introductory percents lesson, learners work with equivalent fractions and learn to draw ratios. They recognize how to change a fraction to a percent.
Arcademics
Ratio Blaster
Shoot the equivalence before it gets you. Individuals practice determining equivalent ratios in six levels in an online interactive. Scholars shoot down the invaders before they reach the planet by identifying an equivalent ratio to the...
Arcademics
Ratio Stadium
Bike to master ratio basics. Learners propel their motorbikes around the track by identifying equivalent ratios. Each correct response provides a boost to the bike, while incorrect answers slow it down.
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth lesson in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
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...
Utah Education Network (UEN)
Ratio Relations
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
EduGAINs
Ratio and Proportion
Do these items have the same ratio? Through a learning contract, pupils master proportions by practicing proportions via word problems, graphs, and with manipulatives. An exit ticket checks for understanding at the end of the...
EngageNY
Ratios
Create ratios using the boys and girls in the class. The first lesson in a 29-part series introduces ratios. Pupils learn to create ratios, write them, and model them with tape diagrams. Class members realize that there are different...
EngageNY
The Structure of Ratio Tables—Additive and Multiplicative
Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or multiplicative...
New Mexico State University
Ratio Rumble
Develop a potion of ratios. Learners play a matching game to make potions that follow a recipe. Pupils create equivalent ratios to make multiple recipes at a given time. As levels increase, ratios get more difficult, as they include...
Curated OER
Ratios: Interpreting the Phrase "Out Of"
Students explore the concept of ratios. They observe a website of Trident Gum that gives a real life example of ratios. Students practice ratio problems in three forms. They express ratios as a proportion and solve proportions using...
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math students 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...
PBS
Real-World Ratio and Rate Reasoning: How to Power the Skate Park
Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...