Pizza Fractions: Understanding Fractions Greater Than 1

Mathematics Grades 4th Grade 1:03 Video
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Lesson Description

Learn how to identify and represent fractions greater than one using visual models, just like sharing pizzas!

Video Resource

Recognizing fractions greater than 1 | Math | 3rd grade | Khan Academy

Khan Academy

Duration: 1:03
Watch on YouTube

Key Concepts

  • Fractions
  • Fractions greater than 1
  • Representing fractions with models (circles)

Learning Objectives

  • Students will be able to identify fractions greater than 1.
  • Students will be able to represent fractions greater than 1 using visual models.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students if they have ever had more than one whole pizza. Introduce the concept of fractions representing parts of a whole. Briefly review what a fraction represents (numerator and denominator).
  • Video Viewing (5 mins)
    Play the Khan Academy video "Recognizing fractions greater than 1 | Math | 3rd grade | Khan Academy". Instruct students to pay close attention to how the fractions are represented visually and how the numerator and denominator relate to the whole.
  • Guided Practice (10 mins)
    After the video, work through a few similar examples on the board. Draw circles representing wholes and divide them into equal parts. Shade in more parts than are in one whole circle, demonstrating a fraction greater than one. For example, draw two circles, each divided into fourths. Shade in 5 of the fourths, demonstrating 5/4.
  • Independent Practice (10 mins)
    Provide students with worksheets containing similar problems. Have them draw models to represent fractions greater than one or identify the fraction represented by a given model.
  • Wrap-up (5 mins)
    Review the key concepts and answer any remaining questions. Have students explain in their own words how they can tell if a fraction is greater than one.

Interactive Exercises

  • Fraction Model Creation
    Provide students with pre-cut circles and markers. Have them create their own models of fractions greater than one, label them, and explain what the fraction represents.
  • Online Practice
    Use the Khan Academy practice exercise linked in the video description for students to get immediate feedback and practice.

Discussion Questions

  • What does the denominator of a fraction tell us?
  • What does the numerator of a fraction tell us?
  • How can a fraction be greater than 1?
  • Can you think of real-life examples where you might have a fraction of something that's more than one whole?

Skills Developed

  • Fraction recognition
  • Visual representation of fractions
  • Problem-solving

Multiple Choice Questions

Question 1:

Which fraction is greater than 1?

Correct Answer: 5/4

Question 2:

If a circle is divided into 3 equal parts, and you have 4 shaded parts, what fraction do you have?

Correct Answer: 4/3

Question 3:

What does the denominator of a fraction tell you?

Correct Answer: How many pieces make up one whole

Question 4:

What does the numerator of a fraction tell you?

Correct Answer: How many parts are shaded

Question 5:

Which model represents 7/5? (Assume circles divided into fifths)

Correct Answer: One whole circle shaded with 2/5 of a second circle shaded

Question 6:

Which of these fractions represents one whole?

Correct Answer: 4/4

Question 7:

If you have 8/3, how many whole circles do you have and how many parts of the third?

Correct Answer: 2 wholes, 2/3

Question 8:

Which fraction is less than one?

Correct Answer: 2/3

Question 9:

How many thirds are in one whole?

Correct Answer: 3

Question 10:

Which is the largest fraction?

Correct Answer: 3/2

Fill in the Blank Questions

Question 1:

A fraction greater than 1 has a numerator that is _______ than its denominator.

Correct Answer: larger

Question 2:

The top number in a fraction is called the ________.

Correct Answer: numerator

Question 3:

The bottom number in a fraction is called the ________.

Correct Answer: denominator

Question 4:

5/3 means there are five pieces, and each piece is _____ of the whole.

Correct Answer: 1/3

Question 5:

A fraction where the numerator and denominator are the same, like 4/4, equals _____ whole.

Correct Answer: one

Question 6:

If you have 6/4, you have one whole and _____ fourths left over.

Correct Answer: 2

Question 7:

The denominator tells you how many equal parts make up the _______.

Correct Answer: whole

Question 8:

Another name for the diagram, like a circle, to show the fraction is a ________.

Correct Answer: model

Question 9:

If you have more slices of pizza than it takes to make a whole pizza, then you have more than _____ pizza.

Correct Answer: one

Question 10:

The fraction 8/5 can also be written as one whole and _______ fifths.

Correct Answer: 3

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. 4.N.3.4:[Objective] Decompose a fraction into a sum of fractions with the same denominator in more than one way, using concrete and pictorial models and recording results with numerical representations (e.g., 3/4 = 1/4 + 1/4 + 1/4 and 3/4 = 2/4 + 1/4).

Teaching Materials

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