Fraction Fun: Finding Equivalent Fractions with Models

Mathematics Grades 4th Grade 4:11 Video
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Lesson Description

Learn how to use fraction models like hexagons to find equivalent fractions, just like the ones in the video!

Video Resource

Equivalent fraction models | Fractions | 3rd grade | Khan Academy

Khan Academy

Duration: 4:11
Watch on YouTube

Key Concepts

  • Equivalent fractions
  • Fraction models (area models)
  • Dividing shapes into equal parts

Learning Objectives

  • Students will be able to identify equivalent fractions using area models.
  • Students will be able to divide a shape into equal parts to represent fractions.
  • Students will be able to explain why two fractions are equivalent based on the models.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what a fraction is (a part of a whole). Ask students for examples of fractions they know. Introduce the idea of 'equivalent' meaning 'equal' or 'the same'. Explain that today they will learn how to find fractions that are equivalent using pictures.
  • Video Viewing (7 mins)
    Play the Khan Academy video 'Equivalent fraction models | Fractions | 3rd grade | Khan Academy'. Encourage students to follow along and pause the video if they need more time to understand a concept.
  • Guided Practice (10 mins)
    After watching the video, work through similar examples as a class. Draw a rectangle on the board and divide it into two equal parts. Shade one part, representing 1/2. Then, divide the rectangle again, so there are now four equal parts. Ask: 'How many parts are shaded now? What fraction does this represent? (2/4). Is 1/2 equal to 2/4? Why?' Repeat with other simple fractions like 1/4 and 2/8, or 1/3 and 2/6.
  • Independent Practice (10 mins)
    Provide students with pre-drawn shapes (circles, squares, rectangles) divided into different numbers of equal parts (e.g., thirds, sixths, eighths). Have them shade a fraction of each shape and then divide the shape further to find an equivalent fraction. Students should write down the original fraction and the equivalent fraction they found.
  • Wrap-up and Discussion (3 mins)
    Review the concept of equivalent fractions and how models can help us find them. Ask students to share what they learned.

Interactive Exercises

  • Fraction Model Matching
    Provide students with cards showing different fraction models (circles, squares, etc.) and different fractions (e.g., 1/2, 2/4, 1/3, 2/6). Have them match the models to the equivalent fractions.

Discussion Questions

  • What does it mean for two fractions to be equivalent?
  • How can drawing a picture help you find equivalent fractions?
  • Can a fraction have more than one equivalent fraction? Why or why not?

Skills Developed

  • Visual representation of fractions
  • Identifying equivalent fractions
  • Problem-solving with visual aids

Multiple Choice Questions

Question 1:

Which fraction is equivalent to 1/2?

Correct Answer: 2/4

Question 2:

If a rectangle is divided into 4 equal parts and 2 parts are shaded, what fraction of the rectangle is shaded?

Correct Answer: 1/2

Question 3:

Which model shows a fraction equivalent to 1/3?

Correct Answer: A rectangle divided into 6 parts, 2 shaded.

Question 4:

What does 'equivalent' mean when we talk about fractions?

Correct Answer: The same

Question 5:

Which fraction is equivalent to 2/6?

Correct Answer: 1/3

Question 6:

You have a pizza cut into 8 slices. You eat 4 slices. What fraction of the pizza did you eat?

Correct Answer: 1/2

Question 7:

Which fraction model represents the same amount as 3/4?

Correct Answer: 6/8

Question 8:

A candy bar is divided into 3 equal parts. You eat one part. What fraction did you eat?

Correct Answer: 1/3

Question 9:

If you split 1/2 into half how much do you get?

Correct Answer: 1/4

Question 10:

Which is equivalent to 2/4?

Correct Answer: 1/2

Fill in the Blank Questions

Question 1:

Fractions that are the same amount are called ______ fractions.

Correct Answer: equivalent

Question 2:

1/2 is equivalent to 2/____.

Correct Answer: 4

Question 3:

Fraction ______ help us see fractions.

Correct Answer: models

Question 4:

If you divide a pizza into four equal slices, each slice represents ____ of the pizza.

Correct Answer: 1/4

Question 5:

To find equivalent fractions, we can divide a shape into more _______ parts.

Correct Answer: equal

Question 6:

2/3 is equivalent to ____/6.

Correct Answer: 4

Question 7:

If two fractions represent the same amount of the same whole, they are ________.

Correct Answer: equal

Question 8:

1/4 is equivalent to 2/_____.

Correct Answer: 8

Question 9:

1/3 is equivalent to ____/6.

Correct Answer: 2

Question 10:

We can use _____ to find equivalent fractions

Correct Answer: models

Educational Standards

4.N.3.1:[Objective] Represent and rename equivalent fractions using fraction models (e.g., parts of a set, area models, fraction strips, number lines). 4.N.3.3:[Objective] Use models to order and compare whole numbers and fractions less than and greater than one, using comparative language and symbols.

Teaching Materials

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