Borrowing Bonanza: Subtracting Mixed Numbers Like a Pro!

Mathematics Grades 5th Grade 6:26 Video
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Lesson Description

Learn how to subtract mixed numbers with borrowing (regrouping) using Mr. J's helpful video! We'll break down the steps, practice with examples, and conquer those tricky fractions!

Video Resource

Subtracting Mixed Numbers with Borrowing (Regrouping) | Math with Mr. J

Math with Mr. J

Duration: 6:26
Watch on YouTube

Key Concepts

  • Mixed Numbers
  • Least Common Denominator
  • Borrowing (Regrouping)
  • Simplifying Fractions

Learning Objectives

  • Students will be able to find the least common denominator of two fractions.
  • Students will be able to rename fractions with a common denominator.
  • Students will be able to subtract mixed numbers with borrowing (regrouping).
  • Students will be able to simplify fractions in their final answer.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what mixed numbers are and why we need common denominators to subtract fractions. Ask students to share times they've encountered fractions in their daily lives (e.g., cooking, measuring).
  • Video Viewing (10 mins)
    Watch the 'Subtracting Mixed Numbers with Borrowing' video by Math with Mr. J. Encourage students to take notes on the steps involved in subtracting mixed numbers with borrowing.
  • Guided Practice (15 mins)
    Work through the examples from the video on the board, pausing to ask clarifying questions. Emphasize the borrowing process and how to rename fractions with a common denominator. Do 2-3 more practice problems together.
  • Independent Practice (15 mins)
    Provide students with a worksheet containing subtraction problems involving mixed numbers with borrowing. Circulate the room to offer support and answer questions.
  • Review and Wrap-up (5 mins)
    Review the key steps for subtracting mixed numbers with borrowing. Answer any remaining questions and assign the multiple choice quiz and the fill in the blank quiz.

Interactive Exercises

  • Fraction Frenzy Game
    Create a fraction subtraction game where students work in pairs to solve mixed number subtraction problems. The first pair to correctly solve a set number of problems wins.
  • Online Practice
    Utilize online resources like Khan Academy to provide students with additional practice and personalized feedback on subtracting mixed numbers.

Discussion Questions

  • Why is it important to have a common denominator when subtracting fractions?
  • Explain the process of borrowing when subtracting mixed numbers. What are you actually doing when you borrow?
  • How do you know when a fraction needs to be simplified?

Skills Developed

  • Problem-solving
  • Critical thinking
  • Fraction manipulation
  • Attention to detail

Multiple Choice Questions

Question 1:

What is the first step when subtracting mixed numbers with different denominators?

Correct Answer: Find a common denominator

Question 2:

What does LCD stand for?

Correct Answer: Least Common Denominator

Question 3:

When borrowing from the whole number, what form do you add to the fraction?

Correct Answer: A fraction equal to one

Question 4:

What is the least common denominator of 1/3 and 1/4?

Correct Answer: 12

Question 5:

What do you need to remember to do after subtracting mixed numbers?

Correct Answer: Simplify the fraction

Question 6:

Which of the following fractions is equivalent to 1/2?

Correct Answer: 3/6

Question 7:

In the mixed number 3 1/4, which part is the fraction?

Correct Answer: 1/4

Question 8:

Why do we borrow when subtracting mixed numbers?

Correct Answer: When the first fraction is smaller than the second

Question 9:

What is 5/5 equal to?

Correct Answer: 1

Question 10:

Which of the following is a mixed number?

Correct Answer: 2 3/4

Fill in the Blank Questions

Question 1:

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

Correct Answer: mixed number

Question 2:

The bottom number of a fraction is called the ________.

Correct Answer: denominator

Question 3:

Finding the ______ ______ ________ is important when subtracting fractions with different denominators.

Correct Answer: least common denominator

Question 4:

When the top number of a fraction is smaller than the bottom number, it is called a ______ fraction.

Correct Answer: proper

Question 5:

To ________ is when you take one from the whole number to make a bigger fraction.

Correct Answer: borrow

Question 6:

The top number of a fraction is called the _________.

Correct Answer: numerator

Question 7:

When you can no longer divide the numerator and denominator by the same number, the fraction is in ________ form.

Correct Answer: simplest

Question 8:

A fraction where the numerator is bigger than the denominator is called an _______ fraction.

Correct Answer: improper

Question 9:

To make fractions have the same denominator, you need to _______ them.

Correct Answer: rename

Question 10:

In the fraction 3/4, the 3 is the ________.

Correct Answer: numerator

Educational Standards

5.N.3:Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals to solve real-world and mathematical problems. 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.

Teaching Materials

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