Fraction Frenzy: Ordering Fractions Like a Pro!

Mathematics Grades 5th Grade 6:34 Video
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Lesson Description

Learn how to order fractions with unlike denominators using common denominators. This lesson will guide you through the steps to compare and order fractions from least to greatest and greatest to least.

Video Resource

Ordering Fractions | How to Order Fractions with Unlike Denominators

Math with Mr. J

Duration: 6:34
Watch on YouTube

Key Concepts

  • Fractions
  • Common Denominator
  • Equivalent Fractions
  • Ordering Numbers

Learning Objectives

  • Students will be able to identify the least common multiple (LCM) of a set of denominators.
  • Students will be able to convert fractions to equivalent fractions with a common denominator.
  • Students will be able to order fractions with unlike denominators from least to greatest.
  • Students will be able to order fractions with unlike denominators from greatest to least.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what fractions are and why it's difficult to compare fractions with different denominators. Ask students if they have any strategies for comparing such fractions. Introduce the video 'Ordering Fractions | How to Order Fractions with Unlike Denominators' by Math with Mr. J.
  • Video Viewing (7 mins)
    Play the video. Encourage students to take notes on the steps Mr. J outlines for ordering fractions.
  • Guided Practice (15 mins)
    Work through example problems on the board, similar to the ones in the video. Start with ordering from least to greatest and then move to greatest to least. Emphasize the importance of finding the least common multiple and creating equivalent fractions. For example: Order 1/3, 2/5, and 1/2 from least to greatest.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing practice problems. Include problems where they need to order fractions both from least to greatest and from greatest to least. Offer assistance as needed.
  • Wrap-up (3 mins)
    Review the key steps for ordering fractions with unlike denominators. Answer any remaining questions. Briefly introduce the concept of using a number line to visually represent and order fractions.

Interactive Exercises

  • Fraction Sort
    Provide students with fraction cards (with unlike denominators). Have them work in small groups to order the fractions from least to greatest or greatest to least. They can use whiteboards to show their work and explain their reasoning.

Discussion Questions

  • Why is it important to have a common denominator when ordering fractions?
  • What are some strategies for finding the least common multiple of a set of numbers?
  • How can you check your work to make sure you've ordered the fractions correctly?

Skills Developed

  • Problem-solving
  • Critical Thinking
  • Mathematical Reasoning
  • Fraction manipulation

Multiple Choice Questions

Question 1:

What is the first step in ordering fractions with different denominators?

Correct Answer: Find a common denominator

Question 2:

What is a common denominator?

Correct Answer: A denominator that all fractions share

Question 3:

Which fraction is the smallest: 1/2, 1/4, or 1/3?

Correct Answer: 1/4

Question 4:

To make equivalent fractions, you multiply the top and bottom by the same number. Is this true?

Correct Answer: True

Question 5:

What is an equivalent fraction to 1/2?

Correct Answer: 2/4

Question 6:

Which list shows the fractions in order from least to greatest?

Correct Answer: 1/4, 1/3, 1/2

Question 7:

What is the common denominator for 1/3 and 1/4?

Correct Answer: 12

Question 8:

Which is larger: 2/5 or 3/5?

Correct Answer: 3/5

Question 9:

When ordering fractions from greatest to least, which fraction goes first?

Correct Answer: The one with the biggest value

Question 10:

What does LCM stand for?

Correct Answer: Lowest Common Multiple

Fill in the Blank Questions

Question 1:

The bottom number of a fraction is called the ________.

Correct Answer: denominator

Question 2:

The top number of a fraction is called the ________.

Correct Answer: numerator

Question 3:

Fractions that have the same value are called ________ fractions.

Correct Answer: equivalent

Question 4:

Before you can compare or order fractions, they must have a ________ denominator.

Correct Answer: common

Question 5:

To find an equivalent fraction, you must multiply the numerator and the denominator by the ________ number.

Correct Answer: same

Question 6:

The _______ is the smallest multiple that two or more numbers share.

Correct Answer: LCM

Question 7:

When ordering fractions from least to greatest, you start with the _________ fraction.

Correct Answer: smallest

Question 8:

When ordering fractions from greatest to least, you start with the ________ fraction.

Correct Answer: largest

Question 9:

1/2 is __________ than 1/4.

Correct Answer: greater

Question 10:

The fractions 2/4 and 1/2 are ________.

Correct Answer: equivalent

Educational Standards

5.N.1.3:Compare and order decimals and fractions, including mixed numbers and fractions less than one, and locate on a number line. 5.N.1.4:Recognize and generate equivalent terminating decimals, fractions, mixed numbers, and fractions in various models.

Teaching Materials

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