Multiplying Mixed Numbers: Cracking the Code!

Mathematics Grades 5th Grade 6:53 Video
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Lesson Description

Learn how to multiply mixed numbers step-by-step with Mr. J's easy-to-follow method! This lesson will guide you through converting mixed numbers to improper fractions and simplifying your final answers.

Video Resource

Multiplying Mixed Numbers | Step by Step | Math with Mr. J

Math with Mr. J

Duration: 6:53
Watch on YouTube

Key Concepts

  • Mixed Numbers
  • Improper Fractions
  • Multiplication of Fractions
  • Simplifying Fractions

Learning Objectives

  • Students will be able to convert mixed numbers into improper fractions.
  • Students will be able to multiply mixed numbers by converting them to improper fractions and multiplying across.
  • Students will be able to convert improper fractions back into mixed numbers.
  • Students will be able to simplify fractions to their lowest terms.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what mixed numbers and fractions are. Ask students for examples of each. Briefly discuss why we can't directly multiply mixed numbers.
  • Video Viewing (10 mins)
    Play the 'Multiplying Mixed Numbers | Step by Step | Math with Mr. J' video. Instruct students to take notes on the steps Mr. J explains.
  • Guided Practice (15 mins)
    Work through example problems on the board, mirroring Mr. J's 'C method' for converting mixed numbers to improper fractions. Emphasize the importance of multiplying straight across and then simplifying the resulting fraction.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing a variety of mixed number multiplication problems. Circulate to offer assistance and answer questions.
  • Wrap-up (5 mins)
    Review the key steps for multiplying mixed numbers. Ask students to share any tips or tricks they found helpful. Preview the upcoming lesson on dividing fractions.

Interactive Exercises

  • Fraction Frenzy Game
    Divide the class into teams. Each team receives a mixed number multiplication problem. The first team to correctly solve the problem and simplify the answer wins a point. This can be done using whiteboards or paper.
  • Online Practice
    Use a website like Khan Academy or IXL for additional practice with multiplying mixed numbers. Students can work independently or in pairs.

Discussion Questions

  • Why is it important to convert mixed numbers to improper fractions before multiplying?
  • What does it mean to simplify a fraction, and why do we do it?
  • Can you think of a real-world situation where you might need to multiply mixed numbers?

Skills Developed

  • Converting Mixed Numbers and Improper Fractions
  • Multiplication of Fractions
  • Simplifying Fractions
  • Problem-Solving

Multiple Choice Questions

Question 1:

What is the first step in multiplying mixed numbers?

Correct Answer: Change to improper fractions

Question 2:

What is 2 and 1/4 converted to an improper fraction?

Correct Answer: 9/4

Question 3:

After multiplying the improper fractions, what do you do with the answer?

Correct Answer: Convert back to a mixed number

Question 4:

What is the value of 10/5?

Correct Answer: 2

Question 5:

If you have 3 and 1/2 x 2 and 1/3, what are the improper fractions you need to multiply?

Correct Answer: 7/2 x 7/3

Question 6:

What does it mean to simplify a fraction?

Correct Answer: Find an equivalent fraction where the numerator and denominator are smaller

Question 7:

How do you convert an improper fraction to a mixed number?

Correct Answer: Divide the numerator by the denominator

Question 8:

What is 5/15 simplified?

Correct Answer: 1/3

Question 9:

What does the 'C method' refer to in the video?

Correct Answer: Converting mixed numbers to improper fractions

Question 10:

What is 1 and 1/2 times 2?

Correct Answer: 3

Fill in the Blank Questions

Question 1:

A number with a whole number and a fraction is called a ______ number.

Correct Answer: mixed

Question 2:

A fraction where the top number is bigger than the bottom number is called an _______ fraction.

Correct Answer: improper

Question 3:

To change a mixed number to an improper fraction, you can use the ______ method.

Correct Answer: C

Question 4:

When multiplying fractions, you multiply straight ______.

Correct Answer: across

Question 5:

The top number in a fraction is called the ______.

Correct Answer: numerator

Question 6:

The bottom number in a fraction is called the ______.

Correct Answer: denominator

Question 7:

To ______ a fraction, you divide the top and bottom by the same number.

Correct Answer: simplify

Question 8:

Before you can multiply mixed numbers, you must convert them to __________ fractions.

Correct Answer: improper

Question 9:

Mr. J's channel offers instructional videos that are directly aligned with math ______.

Correct Answer: standards

Question 10:

When simplifying fractions, you need to find the greatest _______ factor.

Correct Answer: common

Educational Standards

5.N.3.3:Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, involving money, measurement, geometry, and data. Use various models and efficient strategies, including but not limited to standard algorithms. 5.N.1.4:Recognize and generate equivalent terminating decimals, fractions, mixed numbers, and fractions in various models. 5.N.2.2:Divide multi-digit numbers, by one- and two-digit divisors, based on knowledge of place value, including but not limited to standard algorithms.

Teaching Materials

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