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 lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...
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 instructional activity...
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...
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
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
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...
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...
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.
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...
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
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...
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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 takes...
Curated OER
Art Class, Variation 1
Student statisticians calculate ratios to determine how many shades of green were mixed by Ms. Baca's art class. They graph the number of blue parts against the number of yellow parts for each combination and discover that some produce...
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
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...
Neufeld Learning Systems
Concept: Ratios and Proportions
Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
EngageNY
From Ratios to Rates
Rate ratios with unit rates and rate units. Pupils take ratios and determine their associated rates and unit rates. The scholars identify the different aspects of rates, the unit rate, and the rate unit. The lesson is the 16th in a...
Curated OER
Developing the Concept: Rates
Learners discover how to use the knowledge of unit rates to understand equivalent ratios and solve real-world problems. They are given word problems to solve using equivalent ratios. Tables are also covered in this resource.
Curated OER
Learning Ratios and Proportions Through Scale Drawings
Middle and high schoolers explore the concept of scale drawings. They discuss what a scale is and that scales provide a ratio. Pupils construct a scale drawing of their classroom using graph paper.
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