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Ratio & Proportion Hip-Hop Videos & Lessons | Flocabulary - Flocabulary

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Ratios and proportions lessons are more engaging with Flocbulary! Raise the level at your math classes with hip-hop videos and activities.

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Ratios, rates, and proportions - Basic example

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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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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A ratio is a numerical comparison of two or more quantities that indicates their relative sizes. Help sixth-grade students demonstrate their understanding of the concept of a ratio by using ratio language to describe relationships between quantities in this lesson plan.

Lesson Basics

This lesson is designed to last one standard class period or 60 minutes. These are the key elements of the lesson:

Materials: Pictures of animals

Key vocabulary: ratio, relationship, quantity

Objectives: Students will demonstrate their understanding of the concept of a ratio by using ratio language to describe relationships between quantities.

Standards met: 6.RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1 because for every two wings there was one beak."

Introducing the Lesson

Take five to 10 minutes to do a class survey. Depending on the time and management issues you may have with your class, you can ask the questions and record the information yourself, or you can have the students design the survey themselves. Gather information such as:

Number of people with blue eyes compared to brown eyes in the class

Number of people with shoelaces compared to fabric fastener

Number of people with long sleeves and short sleeves

Step-by-Step Procedure

Start by showing a picture of a bird. Ask students questions such as, "How many legs? How many beaks?" Then follow these steps.

1. Show a picture of a cow. Ask students: "How many legs? How many heads?"

2. Define the learning target for the day. Tell the students: "Today we will explore the concept of ratio, which is a relationship between two quantities. What we will try to do today is compare quantities in ratio format, which usually looks like 2:1, 1:3, 10:1, etc. The interesting thing about ratios is that no matter how many birds, cows, shoelaces, etc. you have, the ratio-the relationship-is always the same."

3. Review the picture of the bird. Construct a T-chart-a graphical tool used for listing two separate viewpoints of a topic-on the board. In one column, write "legs," in another, write "beaks." Tell the students: "Barring any truly injured birds, if we have two legs, we have one beak. What if we have four legs? (two beaks)"

4. Tell students that for birds, the ratio of their legs to beaks is 2:1. Then add: "For every two legs, we'll see one beak."

5. Construct the same T-chart for the cows. Help students see that for every four legs, they'll see one head. Consequently, the ratio of legs to heads is 4:1.

6. Use body parts to further demonstrate the concept. Ask students: "How many fingers do you see? (10) How many hands? (two)"

7. On the T-chart, write 10 in one column, and 2 in the other. Remind students that the goal with ratios is to get them to look as simple as possible. (If your students have learned about greatest common factors, this is much easier.) Ask students: "What if we only had one hand? (five fingers) So the ratio of fingers to hands is 5:1."

8. Do a quick check of the class. After students write the answers to these questions, have them do a choral response, where the class gives answers orally in unison for the following concepts:

9. Ratio of eyes to heads

10. Ratio of toes to feet

11. Ratio of legs to feet

12. Ratio of: (use survey answers if they are easily divisible: shoelaces to fabric fastener, for example)

Evaluation

As students are working on these answers, walk around the class so that you can see who is having a hard time recording anything, and which students write their answers down quickly and confidently. If the class is struggling, review the concept of ratios using other animals.

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9 Steps to a Sixth-Grade Math Lesson Plan on Ratios

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A sixth-grade lesson plan for math teachers explains how students can learn to use ratio language to describe quantities.

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In this lesson plan, which is adaptable for grades 4-8, students use BrainPOP resources to define and give examples of ratios, proportion, and percents. Students then solve word problems and equations to find ratios, proportions and percents.

Students will:

1. Define and give examples of a ratio, proportion, and percent.

2. Solve word problems and equations to find ratios, proportions and percents.

Materials:

Computers with internet access for BrainPOP

Pencils

Paper

Vocabulary:

ratio, proportion, percent

Preparation:

Preview the BrainPOP movies related to this lesson plan and select the activities you'd like students to complete. Make photocopies as necessary.

Lesson Procedure:

1. PART ONE: Begin the class with a think-pair-share. Pose the question, "What is a ratio?" In a think-pair-share, students have a few moments to think about their answer, then they turn to a partner to share and discuss their answers. This can also be done in small groups or students can individually write down their answers. When the question is very broad and focuses on an unfamiliar topic, it may be best to put students in small groups.

2. Record the students' answers on the board and then create a grade-friendly definition for ratio: A ratio compares two quantities by division. When you compare the part of something to the whole.

3. Have students watch the Ratios movie on BrainPOP.

4. Next have students read the Real Life section of the Related Reading feature. As a class, brainstorm real life situations in which we use ratios. Be sure to note the language we use. Example: at the grocery store-30 cents per pound, at the gas station-$3.25 per gallon, when cooking-1 cup of flour for every 12 cookies.

5. To get students using the language and practicing the use of ratios, ask the students to use ratios to compare things in their surroundings. For example, ask them to create a ratio comparing the amount of students who like math the most to the students who like science the most.

6. To assist students, provide them with the following list of steps: 1. Tally the amount of students who like math the most. 2. Tally the amount of students who like science the most. 3. Add those numbers to find out how many students are in the entire class. 4. Now answer, "What is the ratio of students that like math the most to students that like science the most?" (ex- 2 students like math for every 3 students that like science) Write out the answer in three ways.

7. Allow students to practice forming ratios with ideas from their surroundings.

8. Have students complete the Activities and complete theQuiz.

9. PART TWO: Tell the students that next you will be talking about proportions. A proportion is like a comparison. Show them the Proportion movie.

10. Reinforce how to solve a proportion by modeling an example on the board. Then, solve a few as a class.

11. Next, it's time to practice calculating some proportions. Put some proportions on the board for the students to cross multiply. This can also be done by completing worksheets either in groups or individually.

12. Assess student comprehension by having them take the Quiz.

13. PART THREE: Tell the students that you will be talking about percents. A percent is a ratio that compares a number to 100. The word percent means hundred or parts per hundred.

14. Show the Percents movie.

15. Give students concrete examples of percents. For example: You can take the day's schedule and calculate how much of the school day is spent learning math, how much of the school day is spent learning math and science, how much of the entire day is spent in school, how much of the entire day is spent at home, etc.

16. On their own or in small groups, have students answer the sample problems on the Activities and Quiz on BrainPOP.

Extension Activities:

Have students write their own word problems to work more with ratios, proportions, and percents. Encourage students to explore the Lure of the Labyrinth Game: Employee Cafeteria on BrainPOP's GameUp for more practice and skill reinforcement for percents.

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Ratios, Proportion, and Percents Lesson Plan | BrainPOP Educators

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In this lesson plan, which is adaptable for grades 4-8, students use BrainPOP resources to define and give examples of ratios, proportion, and percents. Students then solve word problems and equations to find ratios, proportions and percents. Define and give examples of a ratio, proportion, and percent.

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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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Introduction to ratios | Ratios, rates, and percentages | 6th grade | Khan Academy