Fraction Fun: Exploring Equivalent Fractions with Models and Number Lines

Mathematics Grades 4th Grade 4:02 Video
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Lesson Description

Learn about equivalent fractions using visual models and number lines! Discover how different fractions can represent the same amount.

Video Resource

Equivalent fractions visually and on number line | 3rd grade | Khan Academy

Khan Academy

Duration: 4:02
Watch on YouTube

Key Concepts

  • Equivalent Fractions
  • Fraction Models (pies and number lines)
  • Representing Fractions Visually

Learning Objectives

  • Students will be able to identify equivalent fractions using visual models (pies).
  • Students will be able to represent fractions on a number line.
  • Students will be able to explain why equivalent fractions represent the same amount.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what a fraction represents (part of a whole). Ask students for examples of fractions they have seen in their daily lives (e.g., half a cookie, a quarter of a pizza).
  • Video Viewing (7 mins)
    Play the Khan Academy video "Equivalent fractions visually and on number line | 3rd grade | Khan Academy". Instruct students to pay close attention to how the fractions are represented visually and on the number line.
  • Guided Practice (10 mins)
    Work through examples similar to those in the video. Draw circles (pies) and divide them into different numbers of equal parts. Shade in some parts and ask students to write the fraction represented. Then, ask them to find an equivalent fraction by dividing the existing slices in half or combining slices. Repeat with number lines, dividing them into equal sections and labeling fractions.
  • Independent Practice (10 mins)
    Provide students with a worksheet or online activity where they can practice identifying and representing equivalent fractions using both visual models and number lines.
  • Wrap-up and Assessment (8 mins)
    Review the key concepts and learning objectives. Administer a short multiple-choice and fill-in-the-blank quiz to assess student understanding.

Interactive Exercises

  • Fraction Model Creation
    Have students create their own fraction models using paper plates or construction paper. They can divide the plates into different numbers of sections and shade them to represent fractions. Then, they can find equivalent fractions by further dividing or combining sections.
  • Number Line Race
    Draw a large number line on the board. Call out fractions and have students race to mark their location on the number line. Include equivalent fractions and discuss why they are at the same point.

Discussion Questions

  • What does it mean for two fractions to be equivalent?
  • Can you think of real-life situations where you might use equivalent fractions?
  • How does using a number line help you understand equivalent fractions?

Skills Developed

  • Visual Representation of Fractions
  • Number Sense
  • Problem-Solving

Multiple Choice Questions

Question 1:

Which fraction is equivalent to 1/2?

Correct Answer: 2/4

Question 2:

Which model shows 1/3 shaded?

Correct Answer: A pie divided into 3 slices with 1 shaded.

Question 3:

2/4 is equal to?

Correct Answer: 1/2

Question 4:

Which fraction is equivalent to 2/10?

Correct Answer: 1/5

Question 5:

If you cut a pizza into 8 slices and eat 2, what fraction of the pizza did you eat?

Correct Answer: 1/4

Question 6:

Which of these fractions is the smallest?

Correct Answer: 1/5

Question 7:

Which of these fractions is the biggest?

Correct Answer: 1/2

Question 8:

Which picture shows a shape split into halves?

Correct Answer: A shape split into 2 equal parts.

Question 9:

If you have 6/12 of a chocolate bar, how much is that if you simplify it?

Correct Answer: 1/2

Question 10:

If a circle is split into 5 parts and 1 part is blue, what fraction represents the blue part?

Correct Answer: 1/5

Fill in the Blank Questions

Question 1:

Fractions that are the same amount are called ________ fractions.

Correct Answer: equivalent

Question 2:

1/4 is equal to ___/8.

Correct Answer: 2

Question 3:

A __________ line can help us see where fractions are located.

Correct Answer: number

Question 4:

When we divide a pie into equal parts, each part is called a ___________.

Correct Answer: fraction

Question 5:

Another fraction equivalent to 2/6 is ___/3.

Correct Answer: 1

Question 6:

Equivalent fractions take up the __________ amount of space.

Correct Answer: same

Question 7:

If you multiply the top and bottom of a fraction by the same number, you get an __________ fraction.

Correct Answer: equivalent

Question 8:

The top number of a fraction is called the ___________.

Correct Answer: numerator

Question 9:

The bottom number of a fraction is called the ___________.

Correct Answer: denominator

Question 10:

Another fraction equivalent to 5/10 is ___/2.

Correct Answer: 1

Educational Standards

4.N.3.1:Represent and rename equivalent fractions using fraction models (e.g., parts of a set, area models, fraction strips, number lines). 4.N.3.2:Use benchmark fractions (0, 1/2, 1/4, 1/3, 2/3, 3/4, 1) to locate additional fractions with denominators up to twelfths on a number line.

Teaching Materials

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