Unlock the Secret of Numbers: Regrouping Adventures!

Mathematics Grades 4th Grade 4:23 Video
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Lesson Description

Learn how to represent numbers in different ways by regrouping them! Just like trading toys, we'll move values between place values (hundreds, tens, and ones) without changing the total.

Video Resource

Regrouping whole numbers | Arithmetic properties | Pre-Algebra | Khan Academy

Khan Academy

Duration: 4:23
Watch on YouTube

Key Concepts

  • Place Value (Hundreds, Tens, Ones)
  • Regrouping (Trading values between place values)
  • Equivalent Representations of Numbers

Learning Objectives

  • Students will be able to identify the place value of digits in a three-digit number.
  • Students will be able to regroup numbers by moving values between the hundreds, tens, and ones places.
  • Students will be able to demonstrate that regrouping does not change the total value of the number.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they know about place value. Review the concept of hundreds, tens, and ones using base-ten blocks or drawings. Ask students: What is the value of the number 345, what do the individual numbers represent.
  • Video Viewing (7 mins)
    Play the Khan Academy video 'Regrouping Whole Numbers' (https://www.youtube.com/watch?v=X3JqIZR1XcY). Instruct students to pay close attention to how the narrator regroups numbers.
  • Guided Practice (10 mins)
    Work through examples similar to the video on the board. Start with a number like 428. Ask students: How else can we represent this number? Guide them to take 100 from the hundreds place (making it 300) and add it to the tens place (making it 120). Emphasize that 300 + 120 + 8 is still equal to 428. Repeat with other examples and encourage student participation.
  • Independent Practice (10 mins)
    Provide students with worksheets containing numbers to regroup. For example: Represent 562 in three different ways by regrouping. Encourage them to show their work.
  • Wrap-up (3 mins)
    Review the key concepts of the lesson. Ask students to share what they learned about regrouping and why it's important.

Interactive Exercises

  • Base-Ten Block Regrouping
    Provide students with base-ten blocks. Give them a number, like 345, and ask them to show it with the blocks. Then, instruct them to regroup the blocks to represent the number in a different way (e.g., trading 1 hundred block for 10 ten blocks).
  • Number Chart Regrouping
    Create a number chart with columns for hundreds, tens, and ones. Give students a number and have them write it in the chart. Then, guide them to regroup by crossing out the original digits and writing the new digits to represent the regrouped number. For example: H | T | O 4 | 2 | 8 3 | 12 | 8

Discussion Questions

  • Why does regrouping not change the value of the number?
  • Can you think of a real-life situation where regrouping might be helpful?
  • What happens if we regroup from the tens place to the hundreds place?

Skills Developed

  • Understanding Place Value
  • Problem-Solving
  • Critical Thinking

Multiple Choice Questions

Question 1:

What does the 6 represent in the number 675?

Correct Answer: 6 hundreds

Question 2:

If you take 100 from the hundreds place and give it to the tens place, what are you doing?

Correct Answer: Regrouping

Question 3:

Which of these numbers shows 342 regrouped by taking 10 from the tens place and adding it to the ones place?

Correct Answer: 300 + 30 + 12

Question 4:

What happens to the total value of a number when you regroup it?

Correct Answer: It stays the same

Question 5:

Which place value is the furthest to the right?

Correct Answer: Ones

Question 6:

What number do you get if you add 200 + 50 + 7?

Correct Answer: 257

Question 7:

Which number is equal to 3 hundreds?

Correct Answer: 300

Question 8:

What is another way to represent 40?

Correct Answer: 4 tens

Question 9:

If you have 5 hundreds, 2 tens and 9 ones, what number do you have?

Correct Answer: 529

Question 10:

If we regroup 28 into 1 ten and some ones, how many ones will there be?

Correct Answer: 18

Fill in the Blank Questions

Question 1:

The place value of 8 in the number 823 is the ________ place.

Correct Answer: hundreds

Question 2:

Regrouping means to change the way a number looks without changing its total ________.

Correct Answer: value

Question 3:

10 tens is equal to ________ hundred.

Correct Answer: one

Question 4:

Taking 100 from the hundreds place and giving it to the tens place is a form of ________.

Correct Answer: regrouping

Question 5:

The number 345 can be written as 300 + 40 + ________.

Correct Answer: 5

Question 6:

In the number 762, the 6 is in the ________ place.

Correct Answer: tens

Question 7:

Another way to say 2 hundreds is ________.

Correct Answer: 200

Question 8:

The ones place is the place value furthest to the ________.

Correct Answer: right

Question 9:

100 is the same as ________ tens.

Correct Answer: 10

Question 10:

When regrouping, we are just moving ________ between place values.

Correct Answer: value

Educational Standards

4.N.1.2:Use place value to describe whole numbers between 1,000 and 1,000,000 in terms of millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones with written, standard, and expanded forms. 4.N.1.1:Read, write, discuss, and represent whole numbers up to 1,000,000. Representations may include numerals, words, pictures, number lines, and manipulatives.

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