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Intro to rates, rates and proportions.

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1,700 possible mastery points

About this unit

Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?

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Ratios and rates | Pre-algebra | Math | Khan Academy

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Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?

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Kids can practice finding equivalent ratios in this fun space-themed game.

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Mental Math - reducing fractions and ratio expressions
Problem Solving - identify equivalent fractions and ratios

Common Core Connection for Grades 6 and 7

Understand ratio concepts and use ratio reasoning to solve problems.

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Play Ratio Blaster at Math Playground! Find equivalent ratios in this space-themed math game.

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Play an exciting game while you learn different ratios!

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In this free math game, students make potions using proportions, ratios, fractions, and decimals representing ingredients

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Practice finding equivalent ratios!

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Mental Math - simplify fractions
Problem Solving - identify equivalent ratios

Common Core Connection for Grades 6 and 7

Understand ratio concepts and use ratio reasoning to solve problems.

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Mental Math - simplify fractions Problem Solving - identify equivalent ratios Common Core Connection for Grades 6 and 7 Understand ratio concepts and use ratio reasoning to solve problems.

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Students can compete in a fun dirt bike race. If they answer questions on proportions correctly, they'll pull ahead in the race!

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Mental Math - simplify fractions
Problem Solving - create equivalent ratios

Common Core Connection for Grades 6 and 7

Understand ratio concepts and use ratio reasoning to solve problems.

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Play Dirt Bike Proportions at Math Playground! Practice solving proportions in this fast-paced math game.

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Developing essential understanding of ratios, proportions, and proportional reasoning: Grades 6–8.

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Developing essential understanding of ratios, proportions, and proportional reasoning: Grades 6–8.

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This is a great resource for understanding the importance of ratios and proportions.

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grade 6  free math games practice common core standards

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Objective

Students will identify ratios in their surroundings and use ratio language to describe the relationships between them.

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Materials

Lesson Procedure
Step One: Introduce Ratios
Demonstrate to students the concept of using ratios to compare objects. Begin by providing objects for students on a table in the front of the room or at students' desks to compare during a whole class discussion (for example, rulers and pencils, erasers and markers, etc.). Ask students to count the number of each object, and demonstrate how to write ratios to compare the quantities of the objects using the following formats:

Using slash (resembling a fraction): Rulers/Pencils or Erasers/ Markers

Using colon: Rulers: Pencils or Erasers: Markers

You can vary items in the ratios or add additional items as needed until students appear confident in writing ratios based on the number of objects in relation to each other.
Step Two: Ratio Tour (Counting Items)
Assisting students as a class, compile a list of objects in the classroom and outside the classroom, which they will be able to count and record in ratios. Objects might include general items, such as textbooks, or specific categories of items, such as novels, textbooks or workbooks. Outside items might include tables and chairs, flagpoles, playground equipment, or landscaping items such as boulders and trees.

Once students have a general list of available items, ask students to choose 20 items from the list to count. This will encourage variety among the items so that there is less congestion around different parts of the classroom while students are counting. You may wish to ask students to work in teams so that they are counting items accurately or divide the work of counting if it becomes tedious.

Once students have counted the items, they will return to a designated workspace to begin using the collected numbers to make ratios.
Step Three: Creating Ratios with Collected Quantities and Analyzing Experience
Using the numbers they collected on their tour, students will begin organizing them into ratios. Ask students to group objects into pairs that make sense (such as lunch tables and chairs) so that they can think about why the numbers in the ratio might be higher or lower (tables can be shared, chairs cannot).

Instruct students to create at least 10 sets of ratios from the 20 objects they counted (more if students need more practice or appear to be working quickly). After creating their ratios, ask students to analyze their experience by writing briefly on the following topics using the back of the papers with the counted numbers and ratios:

When is it helpful to know the ratio of quantities of objects (or people)?

What are some explanations for the ratios they found in the classroom, such as numbers of textbooks and workbooks, or numbers of supplies that are used or less commonly used?

What is the current ratio of teacher to students in their classroom? Why would this information be useful to students and parents?

Which way do they prefer to write ratios: resembling a fraction or using a colon? Why?
Step Five (optional): Brief Closing Discussion
You may want to lead students in a quick discussion of their experience finding and writing ratios and ask them to share a few responses to the topics they discussed in the writing exercise.

Assessment

Collect students' work and evaluate the accuracy of the counted objects and created ratios. Assess the understanding students have of ratios based on their answers to the writing topics.

Extension

To help students further relate using ratios to their own experiences, ask them to consider taking a few notes on where they see ratios involving people, such as ratios of teachers to students in other classes, cashiers to customers at stores, servers to customers at restaurants, or people to cars they see on the road. Students can bring in their notes and discuss whether they think changing the ratios they observed would improve the conditions they experience. For example, having more people in fewer cars would make for less traffic, or having fewer students per teacher might improve student learning.

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Teaching Sixth Graders the Concept of Ratios: A Lesson Plan

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Students will identify ratios in their surroundings and use ratio language to describe the relationships between them. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Step One: Introduce Ratios Demonstrate to students the concept of using ratios to compare objects.

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Introductory video

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Putting Essential Understanding of Ratios and Proportions in Practice

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Putting Essential Understanding of Ratios and Proportions in Practice

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Putting Essential Understanding of Ratios and Proportions into Practice in Grades 6 - 8 - National Council of Teachers of Mathematics

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By Travis A. Olson, Melfried Olson, and Hannah Slovin; Hannah Slovin, Volume Editor; Barbara J. Dougherty, Series Editor, Putting Essential Understanding into Practice Series Do your students believe that equivalent ratios are based on additive relationships rather than multiplicative ones? Learn about the specialized pedagogical content knowledge you need to teach ratios and proportions effectively in grades 6-8.

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Online Ratios and Proportions Tutors - Free Trial | Chegg.com

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Connect with an expert online Ratios and Proportions tutor, available 24/7 through chat and whiteboards. Get live Ratios and Proportions help from University experts. Free 30 min trial!

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Pythagoras and the Ratios by Julie Ellis

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Pythagoras and the Ratios by Julie Ellis

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Space Word Problems Starring Ratios and Proportions

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Buy a cheap copy of Space Word Problems Starring Ratios and... book by Rebecca Wingard-Nelson. Make ratios and proportions word problems easy and fun using facts about space. This fully-illustrated book provides you with all the tools needed to start solving... Free shipping over $10.