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Number Ninjas: Place Value Power-Up

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Warm Up

Place Value Power-Up!

Objective: Quickly activate prior knowledge about place value and numbers.

Instructions:

  1. Mystery Number: I'm thinking of a number that has:

    • A 7 in the thousands place
    • A 2 in the ones place
    • A 5 in the hundred thousands place
    • A 0 in the tens place
    • A 9 in the hundreds place
    • A 1 in the ten thousands place

    What's my number?



  2. Number Scramble: Rearrange the digits 3, 8, 1, 0, 5, 2 to make the largest possible number. Then, write it in word form.











  3. Quick Comparison: Which number is greater: 45,789 or 45,879? How do you know?



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Lesson Plan

Number Ninjas: Place Value Power-Up

Students will be able to read, write, and compare multi-digit whole numbers up to the hundred thousands place using standard form, word form, and expanded form. Students will also strengthen their understanding of place value relationships.

Understanding place value is fundamental for all future math concepts. This lesson helps students grasp how the position of a digit impacts its value, which is crucial for operations like addition, subtraction, multiplication, and division, and for making sense of larger numbers in real-world contexts.

Audience

4th Grade (Group of 3 Students)

Time

30 minutes

Approach

Interactive discussion, guided practice, and hands-on activities focusing on number forms.

Materials

Whiteboard or chart paper, Markers, Index cards or small whiteboards for students, Place Value Warm Up, Place Value Power-Up Slide Deck, and Place Value Challenge Worksheet

Prep

Gather Materials & Review Lesson

10 minutes

Step 1

Warm-Up: Place Value Power-Up!

5 minutes

  • Distribute the Place Value Warm Up to each student.
  • Instruct students to complete the warm-up independently or discuss in pairs.
  • Review answers together, focusing on strategies used for identifying and comparing numbers. This is a good opportunity to informally assess prior knowledge and address any immediate misconceptions.
  • Discussion Prompt: "What makes a digit more valuable in a number?"

Step 2

Introduction to Place Value Forms

10 minutes

  • Use the Place Value Power-Up Slide Deck to introduce and review standard form, word form, and expanded form for multi-digit numbers up to the hundred thousands.
  • Slide 1: Title Slide - Engage students with the lesson title.
  • Slide 2: What's the Big Idea? - Define standard, word, and expanded forms. Provide a clear example for each.
  • Slide 3: Practice Together - Let's Deconstruct! - Present a number (e.g., 245,781) and guide students through writing it in all three forms on their whiteboards/index cards. Provide immediate feedback and clarification.
  • Slide 4: Comparing Numbers - Who's Bigger? - Introduce strategies for comparing numbers (starting from the largest place value). Use an example like 367,125 vs. 367,215.
  • Encourage student participation and questions throughout the slides. Ensure they are actively writing and discussing.

Step 3

Guided Practice: Place Value Challenge

10 minutes

  • Distribute the Place Value Challenge Worksheet.
  • Work through the first one or two problems together as a group, modeling how to approach each type of question (standard to word, expanded to standard, comparing, etc.).
  • Allow students to work on the remaining problems independently, offering support and redirection as needed.
  • Circulate among students, checking for understanding and providing individualized feedback. Pay close attention to any areas where students are struggling and offer targeted mini-lessons.
  • Check for Understanding: Ask students to explain their reasoning for a few of their answers, especially for comparison problems.

Step 4

Wrap-Up & Quick Check

5 minutes

  • Briefly review a few answers from the Place Value Challenge Worksheet as a group, using the Answer Key for Place Value Challenge Worksheet to guide the discussion.
  • Ask students to share one new thing they learned or one thing they still find challenging.
  • Exit Ticket (Verbal): "Tell me one way understanding place value helps you in everyday life." (e.g., reading large numbers in the news, understanding money).
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Slide Deck

Welcome, Number Ninjas!

Place Value Power-Up: Numbers Up to Hundred Thousands!

Are you ready to become a master of multi-digit numbers?

Welcome students and introduce the exciting journey we're about to embark on. Ask them what they already know about 'place value'.

Ways to Write Numbers

1. Standard Form:

  • Just the digits! (e.g., 245,781)

2. Word Form:

  • Writing the number out in words. (e.g., Two hundred forty-five thousand, seven hundred eighty-one)

3. Expanded Form:

  • Breaking the number down by the value of each digit. (e.g., 200,000 + 40,000 + 5,000 + 700 + 80 + 1)

Explain each form clearly with a simple example. Emphasize that these are just different ways to 'talk about' or 'show' the same number. Use 45,781 as an example and break it down.

Let's Deconstruct a Number!

Your Turn!

Let's take the number 132,506.

  • Write it in Standard Form:
  • Write it in Word Form:
  • Write it in Expanded Form:

This is a key interactive slide. Put a number on the board (e.g., 132,506) and have students write it in all three forms on their individual whiteboards. Circulate and check their work, providing immediate feedback. Ask, 'What's the value of the 3 in this number?'

Comparing Numbers: Who's Bigger?

How do we know which number is greater?

  1. Count the digits! (More digits usually means a bigger number)
  2. Start from the LEFT! Compare the digits in the largest place value first.
  3. Move right if the digits are the same.

Example: Which is greater?
45,789 OR 45,879

Explain the strategy of comparing from the largest place value first. Use the example 45,789 vs. 45,879. Ask students to point to the digit that helps us decide which is larger. Guide them to see that the hundreds place is where the change happens.

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Worksheet

Place Value Challenge Worksheet

Name: ________________________

Instructions: Read each question carefully and write your answers in the space provided.

Part 1: Write in Different Forms

  1. Standard Form to Word Form:
    Write the following number in word form:
    582,041






  2. Word Form to Standard Form:
    Write the following number in standard form:
    Three hundred twelve thousand, six hundred five



  3. Expanded Form to Standard Form:
    Write the following number in standard form:
    700,000 + 30,000 + 9,000 + 200 + 50 + 8



  4. Standard Form to Expanded Form:
    Write the following number in expanded form:
    109,470






Part 2: Compare the Numbers

Instructions: Write <, >, or = in the circle to make each statement true.

  1. 45,789 ⚪ 45,798


  2. 123,456 ⚪ 123,456


  3. 78,901 ⚪ 70,000 + 8,000 + 900 + 1


  4. Six hundred thousand, fifty ⚪ 600,050


  5. 824,100 ⚪ Eight hundred twenty-four thousand, ten



Part 3: Challenge Question!

Using the digits 1, 0, 5, 8, 2, 9, create the largest possible six-digit number. Then, write that number in word form and expanded form.












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Answer Key

Answer Key for Place Value Challenge Worksheet

Part 1: Write in Different Forms

  1. Standard Form to Word Form:
    582,041
    Answer: Five hundred eighty-two thousand, forty-one

  2. Word Form to Standard Form:
    Three hundred twelve thousand, six hundred five
    Answer: 312,605

  3. Expanded Form to Standard Form:
    700,000 + 30,000 + 9,000 + 200 + 50 + 8
    Answer: 739,258

  4. Standard Form to Expanded Form:
    109,470
    Answer: 100,000 + 9,000 + 400 + 70

Part 2: Compare the Numbers

  1. 45,789 < 45,798
    Reasoning: Both numbers have 4 in the ten thousands place and 5 in the thousands place. In the hundreds place, both have 7. However, in the tens place, 45,789 has an 8 (80) while 45,798 has a 9 (90). Since 90 is greater than 80, 45,798 is the larger number.

  2. 123,456 = 123,456
    Reasoning: Both numbers are exactly the same in every place value.

  3. 78,901 = 70,000 + 8,000 + 900 + 1
    Reasoning: The expanded form 70,000 + 8,000 + 900 + 1 simplifies to 78,901 in standard form. Therefore, the two are equal.

  4. Six hundred thousand, fifty = 600,050
    Reasoning: "Six hundred thousand, fifty" written in standard form is 600,050. The two are equal.

  5. 824,100 > Eight hundred twenty-four thousand, ten
    Reasoning: "Eight hundred twenty-four thousand, ten" written in standard form is 824,010. Comparing 824,100 and 824,010, the hundred thousands, ten thousands, and thousands places are the same. In the hundreds place, 824,100 has a 1 (100) while 824,010 has a 0 (0). Since 100 is greater than 0, 824,100 is the larger number.

Part 3: Challenge Question!

Using the digits 1, 0, 5, 8, 2, 9, create the largest possible six-digit number. Then, write that number in word form and expanded form.

  • Largest Possible Six-Digit Number: 985,210

  • Word Form: Nine hundred eighty-five thousand, two hundred ten

  • Expanded Form: 900,000 + 80,000 + 5,000 + 200 + 10

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Number Ninjas: Place Value Power-Up • Lenny Learning