Soap, Fractions, and Division: Unlocking the Connection!

Mathematics Grades 7th Grade 2:45 Video
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Lesson Description

Explore the relationship between division and fractions using a real-world example involving sharing soap! Learn how dividing whole numbers results in fractions and equivalent representations.

Video Resource

Creating a fraction through division of whole numbers | Fractions | Pre-Algebra | Khan Academy

Khan Academy

Duration: 2:45
Watch on YouTube

Key Concepts

  • Division as a fraction
  • Equivalent fractions
  • Relationship between division and multiplication

Learning Objectives

  • Students will be able to represent division of whole numbers as a fraction.
  • Students will be able to identify and explain the relationship between division and multiplication of fractions.
  • Students will be able to convert between division expressions and fractional representations.

Educator Instructions

  • Introduction (5 mins)
    Engage students by asking them about times they had to share something unevenly. Introduce the video and its premise: sharing 3 bars of soap between two people.
  • Video Viewing (5 mins)
    Play the Khan Academy video: 'Creating a fraction through division of whole numbers | Fractions | Pre-Algebra | Khan Academy'. Instruct students to take notes on key concepts and examples.
  • Guided Discussion (10 mins)
    Facilitate a class discussion about the video. Review the soap example and the concept of dividing whole numbers into fractions. Emphasize the equivalence of 3 ÷ 2, 3 * (1/2), and 3/2.
  • Practice Problems (15 mins)
    Present practice problems where students convert division expressions into fractions and vice versa. Example: Convert 5 ÷ 4 into a fraction. Convert 7/3 into a division expression. Have students work individually or in pairs.
  • Wrap-up (5 mins)
    Summarize the key takeaways from the lesson. Reiterate the connection between division and fractions. Preview future lessons on fractions and division.

Interactive Exercises

  • Fraction/Division Matching Game
    Create pairs of cards, one with a division expression (e.g., 4 ÷ 3) and one with its fractional equivalent (e.g., 4/3). Students match the pairs.
  • Real-World Scenario Creation
    Have students create their own word problems that involve dividing whole numbers and representing the result as a fraction.

Discussion Questions

  • Can you think of other real-world examples where you divide something unevenly and end up with fractions?
  • How does the video demonstrate that division and multiplication are related?
  • Why is it important to understand how to convert between division and fractions?

Skills Developed

  • Fraction representation
  • Division comprehension
  • Problem-solving
  • Conceptual understanding of rational numbers

Multiple Choice Questions

Question 1:

Which of the following is equal to 5 ÷ 3?

Correct Answer: 5/3

Question 2:

What is the fraction 2/7 expressed as a division problem?

Correct Answer: 2 ÷ 7

Question 3:

Which expression is equivalent to 4 * (1/5)?

Correct Answer: 4/5

Question 4:

Sal is dividing 7 cookies between 2 friends. How many cookies does each friend get, expressed as a fraction?

Correct Answer: 7/2

Question 5:

What fraction is the same as 9 divided by 4?

Correct Answer: 9/4

Question 6:

Which of these is NOT an equivalent expression to 6/5?

Correct Answer: 5 ÷ 6

Question 7:

If you have 10 slices of pizza and want to share them equally among 3 people, how many slices does each person get, expressed as a fraction?

Correct Answer: 10/3

Question 8:

What is 8 ÷ 5 written as a fraction?

Correct Answer: 8/5

Question 9:

Express 11/4 as a division problem:

Correct Answer: 11 ÷ 4

Question 10:

If you divide 6 apples among 4 friends, how many apples does each friend receive (expressed as a fraction)?

Correct Answer: 6/4

Fill in the Blank Questions

Question 1:

The expression 7 ÷ 3 can be written as the fraction ______.

Correct Answer: 7/3

Question 2:

The fraction 4/9 is the same as _____ divided by 9.

Correct Answer: 4

Question 3:

5 times 1/6 is equal to the fraction ______.

Correct Answer: 5/6

Question 4:

9 ÷ 2 is the same as the fraction ______.

Correct Answer: 9/2

Question 5:

The fraction 12/5 is equivalent to 12 ______ by 5.

Correct Answer: divided

Question 6:

3 ÷ 8 written as a fraction is ______.

Correct Answer: 3/8

Question 7:

The fraction ______ is the same as 10 divided by 7.

Correct Answer: 10/7

Question 8:

If you have 15 candies and divide them among 4 friends, each friend gets ______/4 candies.

Correct Answer: 15

Question 9:

The expression 1/3 multiplied by 2 is equal to ______.

Correct Answer: 2/3

Question 10:

______ is the fractional representation of 14 divided by 3.

Correct Answer: 14/3

Educational Standards

7.N.1:[Standard] Read, write, represent, and compare rational numbers, expressed as integers, fractions, and decimals. Explain and apply the concept of absolute value. 7.N.1.2:[Objective] Recognize and generate equivalent representations of rational numbers, including equivalent fractions. 7.N.2.5:[Objective] Model and solve problems using rational numbers involving addition, subtraction, multiplication, division, and positive integer exponents.

Teaching Materials

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