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
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...
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
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...
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
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...
EngageNY
Comparing Ratios Using Ratio Tables
Decide which concentration of mixtures is the strongest. Pupils use tables to compare ratios involved in mixtures. They use two methods to make the comparisons — by finding equivalent values within the tables or by comparing the values...
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...
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 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...
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.
Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Curated OER
Mathematics Within: Algebraic Patterns
Students comprehend that ratios and fractions are interchangeable. They compare ratios using common denominators, cross multiplication, and intuition. Students find equivalent fractions. They comprehend that equivalent ratios do not...
Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
Curated OER
Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
Curated OER
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
Curated OER
Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
Illustrative Mathematics
Voting for Two, Variation 1
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...
Curated OER
Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction activity, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
West Contra Costa Unified School District
Simplifying Fractions Activity
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly exhibits...
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...