lenny

Fraction Division Fun!

user image

Lesson Plan

Fraction Division Fun!

Students will be able to confidently divide unit fractions by whole numbers and whole numbers by unit fractions using visual models and algorithms.

Understanding how to divide with fractions is a crucial real-world skill, from sharing food equally to understanding recipes. This lesson provides a strong foundation for more complex math.

Audience

5th Grade

Time

30 minutes

Approach

Engaging visuals, guided practice, and independent application.

Materials

Fraction Division Fun! Slide Deck, Fraction Division Maze Challenge!, and Fraction Division Maze Answer Key

Prep

Teacher Preparation

15 minutes

Step 1

Warm-up: What is Division?

5 minutes

  • Begin by asking students to recall what division means in simple terms. (e.g., sharing, splitting into equal groups).
    - Project Slide 2: "What Does Division Mean to You?" and encourage a brief class discussion.

Step 2

Introduction to Dividing Fractions by Whole Numbers

10 minutes

  • Transition to dividing fractions. Project Slide 3: "Sharing a Slice".
    - Guide students through the concept of dividing a fraction (like a pizza slice) among whole numbers of people.
    - Introduce the "Keep, Change, Flip" rule using Slide 4 and work through the examples on Slides 5 and 6.

Step 3

Guided Practice & Maze Introduction

10 minutes

  • Work through a few examples together on the board or using additional problems. Emphasize the 'Keep, Change, Flip' strategy.
    - Introduce the Fraction Division Maze Challenge!. Explain the maze format: students solve a problem, find the correct answer, and follow the arrow to the next problem.

Step 4

Independent Practice & Wrap-up

5 minutes

  • Students work independently on the Fraction Division Maze Challenge!.
    - Circulate to provide individual support and answer questions.
    - (Optional) As a cool-down, ask students to share one thing they learned or one question they still have.
lenny
0 educators
use Lenny to create lessons.

No credit card needed

Slide Deck

Fraction Division Fun!

Let's conquer fractions together!

Welcome students and introduce the topic of dividing fractions. Keep it light and engaging!

What Does Division Mean to You?

How do you 'share' or 'split' things into equal groups?

Ask students to think about everyday examples of division. Encourage them to share their ideas.

Sharing a Slice: The Basics

Imagine you have 1/2 of a pizza left. If you want to share it equally with one friend (so 2 people total), how much of the original pizza does each person get?

Use a visual example to introduce dividing a fraction by a whole number. Imagine a pizza! For example, if you have 1/2 of a pizza and want to share it among 2 friends, how much does each friend get?

The 'Keep, Change, Flip' Rule!

When dividing fractions, remember this trick:

  1. Keep the first fraction the same.
  2. Change the division sign to a multiplication sign.
  3. Flip the second number (find its reciprocal).

Introduce the 'Keep, Change, Flip' rule clearly. Explain each step: Keep the first fraction, Change the division to multiplication, Flip the second number (find its reciprocal).

Let's Practice! (Fraction ÷ Whole Number)

Solve: 1/3 ÷ 2

  1. Keep 1/3
  2. Change ÷ to x
  3. Flip 2 (which is 2/1) to 1/2

1/3 x 1/2 = ?

Work through an example of dividing a fraction by a whole number step-by-step. E.g., 1/3 ÷ 2.

Another One! (Whole Number ÷ Fraction)

Solve: 3 ÷ 1/4

  1. Keep 3 (which is 3/1)
  2. Change ÷ to x
  3. Flip 1/4 to 4/1

3/1 x 4/1 = ?

Work through an example of dividing a whole number by a fraction step-by-step. E.g., 3 ÷ 1/4.

Your Turn! Maze Challenge!

Now it's time to show what you've learned on your own! Get ready for the Fraction Division Maze Challenge!. Solve each problem to find your way through the maze!

Explain that students will now work on the maze independently. Briefly review the first question and how to navigate the maze if time allows.

lenny

Worksheet

Fraction Division Maze Challenge!

Instructions: Start at "START". Solve the problem. Follow the arrow with the correct answer to the next problem. Continue until you reach "FINISH"!

START HERE!

Problem 1:

1/2 ÷ 3

  • [A] 1/6
  • [B] 3/2
  • [C] 2/3

If your answer is 1/6, proceed to Problem 2.

Problem 2:

1/4 ÷ 2

  • [A] 1/2
  • [B] 1/8
  • [C] 2/4

If your answer is 1/8, proceed to Problem 3.

Problem 3:

2/5 ÷ 4

  • [A] 8/5
  • [B] 1/10
  • [C] 2/20

If your answer is 1/10, proceed to Problem 4.

Problem 4:

3/8 ÷ 3

  • [A] 9/8
  • [B] 1/8
  • [C] 3/24

If your answer is 1/8, proceed to Problem 5.

Problem 5:

4 ÷ 1/3

  • [A] 4/3
  • [B] 1/12
  • [C] 12

If your answer is 12, proceed to Problem 6.

Problem 6:

5 ÷ 1/2

  • [A] 5/2
  • [B] 10
  • [C] 1/10

If your answer is 10, proceed to Problem 7.

Problem 7:

2 ÷ 1/5

  • [A] 2/5
  • [B] 1/10
  • [C] 10

If your answer is 10, proceed to Problem 8.

Problem 8:

6 ÷ 2/3

  • [A] 4
  • [B] 9
  • [C] 18

If your answer is 9, proceed to the Challenge Question!

Challenge Question!:

You have 3/4 of a pie left. If you want to share it equally among 6 friends, what fraction of the whole pie does each friend receive?

  • [A] 1/8
  • [B] 1/24
  • [C] 4/18

If your answer is 1/8, you have reached the FINISH!

FINISH!

lenny
lenny

Answer Key

Fraction Division Maze Answer Key

Instructions: Follow the correct path through the maze and check your answers. Remember, only the correct answer leads to the next problem!

START HERE!

Problem 1: 1/2 ÷ 3

  • Thought Process: Keep 1/2, Change to multiplication, Flip 3 (3/1) to 1/3.
  • Solution: 1/2 × 1/3 = 1/6
    • Maze Path: Follow [A] 1/6 to Problem 2.

Problem 2: 1/4 ÷ 2

  • Thought Process: Keep 1/4, Change to multiplication, Flip 2 (2/1) to 1/2.
  • Solution: 1/4 × 1/2 = 1/8
    • Maze Path: Follow [B] 1/8 to Problem 3.

Problem 3: 2/5 ÷ 4

  • Thought Process: Keep 2/5, Change to multiplication, Flip 4 (4/1) to 1/4.
  • Solution: 2/5 × 1/4 = 2/20 = 1/10
    • Maze Path: Follow [B] 1/10 to Problem 4.

Problem 4: 3/8 ÷ 3

  • Thought Process: Keep 3/8, Change to multiplication, Flip 3 (3/1) to 1/3.
  • Solution: 3/8 × 1/3 = 3/24 = 1/8
    • Maze Path: Follow [B] 1/8 to Problem 5.

Problem 5: 4 ÷ 1/3

  • Thought Process: Keep 4 (4/1), Change to multiplication, Flip 1/3 to 3/1.
  • Solution: 4/1 × 3/1 = 12
    • Maze Path: Follow [C] 12 to Problem 6.

Problem 6: 5 ÷ 1/2

  • Thought Process: Keep 5 (5/1), Change to multiplication, Flip 1/2 to 2/1.
  • Solution: 5/1 × 2/1 = 10
    • Maze Path: Follow [B] 10 to Problem 7.

Problem 7: 2 ÷ 1/5

  • Thought Process: Keep 2 (2/1), Change to multiplication, Flip 1/5 to 5/1.
  • Solution: 2/1 × 5/1 = 10
    • Maze Path: Follow [C] 10 to Problem 8.

Problem 8: 6 ÷ 2/3

  • Thought Process: Keep 6 (6/1), Change to multiplication, Flip 2/3 to 3/2.
  • Solution: 6/1 × 3/2 = 18/2 = 9
    • Maze Path: Follow [B] 9 to the Challenge Question!

Challenge Question!: You have 3/4 of a pie left. If you want to share it equally among 6 friends, what fraction of the whole pie does each friend receive?

  • Thought Process: This is a division problem: 3/4 ÷ 6. Keep 3/4, Change to multiplication, Flip 6 (6/1) to 1/6.
  • Solution: 3/4 × 1/6 = 3/24 = 1/8 of the whole pie.
    • Maze Path: Follow [A] 1/8 to FINISH!

FINISH!

lenny
lenny