Ratio Rumble: Mastering Equivalent Ratios!

Mathematics Grades 7th Grade 4:43 Video
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Lesson Description

Learn how to identify and create equivalent ratios using multiplication and division. Get ready to rumble with ratios!

Video Resource

Equivalent ratios

Khan Academy

Duration: 4:43
Watch on YouTube

Key Concepts

  • Ratios
  • Equivalent Ratios
  • Multiplication and Division to find equivalent ratios

Learning Objectives

  • Students will be able to identify equivalent ratios.
  • Students will be able to generate equivalent ratios by multiplying or dividing both parts of a ratio by the same number.
  • Students will be able to determine if two ratios are equivalent.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing the definition of a ratio and discussing real-world examples of ratios (e.g., the ratio of boys to girls in the class, the ratio of ingredients in a recipe). Ask students to share examples of ratios they encounter in their daily lives.
  • Video Viewing (10 mins)
    Play the Khan Academy video 'Equivalent ratios'. Instruct students to take notes on the key concepts and examples presented in the video.
  • Guided Practice (15 mins)
    Work through example problems on the board, demonstrating how to find equivalent ratios by multiplying or dividing. Emphasize the importance of multiplying or dividing both parts of the ratio by the same number. Use visuals and manipulatives (e.g., counters, drawings) to help students understand the concept.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing various ratio problems. Have them work independently to find equivalent ratios for each problem. Circulate the classroom to provide assistance and answer questions.
  • Wrap-up and Assessment (5 mins)
    Review the key concepts of the lesson and answer any remaining questions. Administer a short quiz to assess students' understanding of equivalent ratios.

Interactive Exercises

  • Ratio Matching Game
    Create cards with different ratios, some of which are equivalent. Have students work in pairs or small groups to match the equivalent ratios.
  • Equivalent Ratio Table
    Provide students with a table and a starting ratio. Have them fill in the table with equivalent ratios by multiplying or dividing.

Discussion Questions

  • What does it mean for two ratios to be equivalent?
  • How can you determine if two ratios are equivalent?
  • Why is it important to multiply or divide both parts of a ratio by the *same* number to find an equivalent ratio?
  • Can you give a real-world example of how equivalent ratios are used?

Skills Developed

  • Problem-solving
  • Critical Thinking
  • Proportional Reasoning

Multiple Choice Questions

Question 1:

Which of the following ratios is equivalent to 3:5?

Correct Answer: 6:10

Question 2:

To find an equivalent ratio, you must...

Correct Answer: Multiply or divide both parts of the ratio by the same number.

Question 3:

Is the ratio 4:6 equivalent to the ratio 8:9?

Correct Answer: No

Question 4:

Which ratio is NOT equivalent to 1:4?

Correct Answer: 5:15

Question 5:

If a recipe calls for 2 cups of flour and 1 cup of sugar, what is an equivalent ratio if you want to double the recipe?

Correct Answer: 4:2

Question 6:

The ratio of apples to oranges is 5:2. If there are 10 oranges, how many apples are there if the ratios are equivalent?

Correct Answer: 25

Question 7:

Simplify the ratio 12:18 to its simplest equivalent form.

Correct Answer: 2:3

Question 8:

What number do you need to multiply both parts of the ratio 2:7 by, to get the equivalent ratio 6:21?

Correct Answer: 3

Question 9:

Which of these is the correct way to write a ratio?

Correct Answer: 1 to 2

Question 10:

What operation do you use to simplify to an equivalent ratio?

Correct Answer: Division

Fill in the Blank Questions

Question 1:

A _______ is a comparison of two quantities.

Correct Answer: ratio

Question 2:

_______ ratios have the same value, even though they may look different.

Correct Answer: Equivalent

Question 3:

To find equivalent ratios, you can either _______ or _______ both parts of the ratio by the same number.

Correct Answer: multiply/divide

Question 4:

The ratio 6:9 can be simplified to the equivalent ratio _______.

Correct Answer: 2:3

Question 5:

If the ratio of cats to dogs is 3:4, then for every 3 ______, there are 4 _____.

Correct Answer: cats/dogs

Question 6:

If you multiply the ratio 1:5 by 2, you get the equivalent ratio _______.

Correct Answer: 2:10

Question 7:

Order _______ when writing a ratio.

Correct Answer: matters

Question 8:

The simplest form of 8:12 is ______.

Correct Answer: 2:3

Question 9:

Multiplying and dividing creates an _______ ratio.

Correct Answer: equivalent

Question 10:

The ratio of circles to squares is 2:3. If there are 6 squares, there are _______ circles.

Correct Answer: 4

Educational Standards

7.A.2.3:Use proportional reasoning to solve problems involving ratios. 7.A.2.4:Use proportional reasoning to assess the reasonableness of solutions. 7.N.1.2:[Objective] Recognize and generate equivalent representations of rational numbers, including equivalent fractions.

Teaching Materials

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Student Worksheet Classroom Slides Assessment Quiz
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