Regrouping: Let's Break Down Numbers!
Lesson Description
Video Resource
Key Concepts
- Place Value (Tens and Ones)
- Regrouping (Borrowing)
- Subtraction with Regrouping
Learning Objectives
- Students will be able to identify the tens and ones in a two-digit number.
- Students will be able to explain the concept of regrouping (borrowing) in subtraction.
- Students will be able to subtract two-digit numbers with regrouping using visual aids and strategies learned.
Educator Instructions
- Introduction (5 mins)
Begin by reviewing place value. Ask students what each digit represents in numbers like 23, 47, and 61. Use physical manipulatives like base-ten blocks if available. Explain that sometimes, when we subtract, we need to 'borrow' from the tens place to help us subtract the ones. - Video Viewing (7 mins)
Watch the Khan Academy video: 'Visual understanding of regrouping' (https://www.youtube.com/watch?v=AxwkJtvVaZk). Pause at key points to explain what is happening on the screen and answer any questions. - Guided Practice (10 mins)
Work through a few subtraction problems together as a class, using base-ten blocks or drawings to visually represent the regrouping process. For example, 42 - 15. Emphasize that we can't take 5 from 2, so we borrow a ten. - Independent Practice (10 mins)
Students work independently on a worksheet with subtraction problems that require regrouping. Provide support as needed. Encourage students to use drawings or base-ten blocks to help them. - Wrap-up (3 mins)
Review the key concepts of regrouping. Ask students to explain in their own words how and why we regroup in subtraction. Review answers to the independent practice problems.
Interactive Exercises
- Base-Ten Block Subtraction
Provide each student with base-ten blocks (or drawings of base-ten blocks). Give them subtraction problems and have them physically manipulate the blocks to perform the regrouping and subtraction. - Number Line Subtraction
Use a number line to visually demonstrate subtraction with regrouping. For example, to solve 31 - 14, start at 31, break 14 into 10 and 4, and jump back 10, then jump back 4, regrouping as needed on the number line. This helps them visualize the breaking down of the numbers.
Discussion Questions
- What does it mean to 'regroup' in subtraction?
- Why do we need to regroup sometimes when we subtract?
- Can you give me an example of when you would need to regroup?
Skills Developed
- Place Value Understanding
- Subtraction Skills
- Problem-Solving
- Visual Representation
Multiple Choice Questions
Question 1:
What does it mean to regroup in subtraction?
Correct Answer: To borrow from the tens place
Question 2:
In the number 35, how many TENS are there?
Correct Answer: 3
Question 3:
In the number 72, how many ONES are there?
Correct Answer: 2
Question 4:
Why do we sometimes need to regroup?
Correct Answer: To make subtraction easier
Question 5:
If you have 42 - 17, do you need to regroup?
Correct Answer: Yes
Question 6:
What happens to the tens place when you regroup?
Correct Answer: It gets smaller
Question 7:
Which of these is a ten?
Correct Answer: 10
Question 8:
Which place do we look at FIRST when we subtract?
Correct Answer: The ones place
Question 9:
If you borrow 1 ten, how many ones do you get?
Correct Answer: 10
Question 10:
What is 58 - 20?
Correct Answer: 38
Fill in the Blank Questions
Question 1:
When we subtract, we start with the ______ place.
Correct Answer: ones
Question 2:
Regrouping is also called ________.
Correct Answer: borrowing
Question 3:
In the number 63, the 6 is in the _______ place.
Correct Answer: tens
Question 4:
When we regroup, we take a ten and turn it into ______ ones.
Correct Answer: 10
Question 5:
If you have 32 - 15, you need to ________.
Correct Answer: regroup
Question 6:
The number 40 has ____ tens and 0 ones.
Correct Answer: 4
Question 7:
When we regroup, the tens place gets ________.
Correct Answer: smaller
Question 8:
Subtracting means to _______.
Correct Answer: take away
Question 9:
10 ones is the same as ____ ten.
Correct Answer: 1
Question 10:
When you regroup in 64-28, you change 6 tens to __ tens.
Correct Answer: 5
Educational Standards
Teaching Materials
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