Fraction Frenzy: Diving into Dividing Fractions!

Mathematics Grades 7th Grade 5:42 Video
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Lesson Description

Learn the 'invert and multiply' rule for dividing fractions using number lines and real-world examples. Discover why this trick works!

Video Resource

Understanding division of fractions | Fractions | Pre-Algebra | Khan Academy

Khan Academy

Duration: 5:42
Watch on YouTube

Key Concepts

  • Dividing fractions
  • Invert and multiply rule
  • Reciprocal of a fraction
  • Number line representation of fractions

Learning Objectives

  • Students will be able to divide fractions using the 'invert and multiply' rule.
  • Students will be able to explain why the 'invert and multiply' rule works using a number line model.
  • Students will be able to find the reciprocal of a fraction.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what fractions represent and how they are plotted on a number line. Ask students if they remember the rule for dividing fractions and write it on the board. Tell them that they will be finding out why this rule works.
  • Video Viewing (10 mins)
    Play the Khan Academy video 'Understanding division of fractions'. Encourage students to take notes on the key points and examples.
  • Guided Practice (15 mins)
    Work through several example problems on the board, demonstrating the 'invert and multiply' rule and relating it to the number line representation shown in the video. Ask students to come to the board to complete each step.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing division of fraction problems. Have them work independently to solve the problems, showing their work.
  • Wrap-up and Discussion (5 mins)
    Review the answers to the independent practice problems. Discuss any remaining questions or misconceptions. Reiterate the connection between the 'invert and multiply' rule and the number line visualization.

Interactive Exercises

  • Number Line Division
    Provide students with various fraction division problems. Have them draw a number line and visually represent the division process, marking jumps and sections.
  • Fraction Reciprocal Race
    Divide students into teams. Call out fractions, and the first team to correctly state the reciprocal gets a point. The team with the most points at the end wins.

Discussion Questions

  • Why does dividing by a fraction result in a larger number (or the same number if the fraction is 1)?
  • How does the number line help us understand the concept of dividing fractions?
  • What happens when we divide a fraction by a fraction greater than 1?
  • Can you think of a real-world situation where you would need to divide fractions?

Skills Developed

  • Fraction division
  • Conceptual understanding of division
  • Problem-solving
  • Visual representation of mathematical concepts

Multiple Choice Questions

Question 1:

What is the first step when dividing fractions?

Correct Answer: Invert the second fraction and multiply

Question 2:

What is the reciprocal of 2/5?

Correct Answer: 5/2

Question 3:

What is 3/4 divided by 1/2?

Correct Answer: 6/4

Question 4:

Dividing by a fraction is the same as multiplying by its...

Correct Answer: Reciprocal

Question 5:

Which number line represents 6/2 รท 1/2?

Correct Answer: One with 6 jumps

Question 6:

What does 'invert' mean when dividing fractions?

Correct Answer: To flip the fraction, swapping the numerator and denominator

Question 7:

8/3 divided by 2/3 is the same as 8/3 multiplied by...

Correct Answer: 3/2

Question 8:

If you divide a pizza that is 1/2 remaining into slices that are 1/8 of the whole pizza, how many slices do you have?

Correct Answer: 4

Question 9:

Which operation is the opposite of dividing?

Correct Answer: Multiplying

Question 10:

What is 5/8 divided by 5/8?

Correct Answer: 1

Fill in the Blank Questions

Question 1:

To divide fractions, you ________ the second fraction and multiply.

Correct Answer: invert

Question 2:

The reciprocal of 4/7 is ________.

Correct Answer: 7/4

Question 3:

1/2 divided by 1/4 is equal to ________.

Correct Answer: 2

Question 4:

Dividing by a fraction is the same as multiplying by its ________.

Correct Answer: reciprocal

Question 5:

The video uses a ________ _________ to visually show fraction division.

Correct Answer: number line

Question 6:

If you have 9/5 and divide it by 1/5, the answer is ________.

Correct Answer: 9

Question 7:

The 'invert and multiply' rule is used when ________ fractions.

Correct Answer: dividing

Question 8:

3 divided by 1/3 is ________.

Correct Answer: 9

Question 9:

When you invert a fraction, the numerator becomes the ________.

Correct Answer: denominator

Question 10:

5/6 divided by 2/3 = 5/6 multiplied by ________.

Correct Answer: 3/2

Educational Standards

7.N.2.5:Model and solve problems using rational numbers involving addition, subtraction, multiplication, division, and positive integer exponents. 7.N.2.3:Multiply and divide integers in a variety of situations; use efficient and generalizable procedures, including standard algorithms.

Teaching Materials

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