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...
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
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...
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...
Scholastic
Study Jams! Rate
Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...
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
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...
Curated OER
Solving Problems Using Equivalent Ratios
In this equivalent ratios worksheet, students solve word problems when given an equivalent ratio of the answer. Students complete 7 problems.
New Mexico State University
Bad Date
Get the best ratio for a good date. The class watches a video where dates are rated based on the ratio of words spoken. Pupils then use the ratios in the video along with other given ratios to find equivalent ratios. Finally, 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...
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
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...
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...
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...
Scholastic
Study Jams! Proportions
Join Zoe and Sam as they use proportions to budget money for their Green Earth Club. Watch as they set up and solve a series of proportions using cross multiplication and division. A great resource that brings together prior knowledge of...
EngageNY
Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th lesson in a series of 29. They represent percents as fractions, decimals, ratios, and models. The scholars...
Curated OER
Introducing the Concept: Rates
Sixth graders explore rates as a specific type of ratio, using visual examples of unit rates and unit prices to increase comprehension. They also practice solving problems that are modeled by the instructor. The well-scripted lesson is...
Curated OER
Ratio, Rates and Percentages
In this ratio, rates and percentages worksheet, 8th graders solve 22 various types of problems related to ratios, rates and percentages. They first write ratios in lowest terms and describe each of comparison stated. Students also solve...
Waterloo Mathematics
Number Sense and Numeration: Ratio and Rate
Seventh-graders solve 20 various types of problems related to ratio and rate. They write ratios in simplest form for each given statement, to compare the area of two figures, and write two ratios equivalent to each ratio. Pupils express...
Curated OER
Ratios, Unit Rates, and Proportions
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
EngageNY
From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
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...
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...