Grade 4 – Identifying the True Value of Whole Numbers with Up to Seven Digits

Here’s a two-day lesson plan for grade four mathematics based on the Jamaica National Standard Curriculum for the topic: Identifying the Value of Whole Numbers with Up to Seven Digits.

Each day follows the 5E model and includes differentiated activities for Tiers 1, 2, and 3.

Day 1 Lesson Plan

Subject: Mathematics

Grade: 4

Topic: Identifying the True Value of Whole Numbers with Up to Seven Digits

Duration: 60 minutes

Objective: By the end of Day 1, students should be able to:

• Identify the value of digits in a six-digit number.

Teaching Resources/Materials:

Place value charts, Digit cards (0-9), Number cards (six-digit numbers), Worksheets

Engage:

Start with a game of “Number Guess.” Write a six-digit number (e.g., 512,743) on the board but cover some digits with sticky notes. Ask students to guess what the hidden digits could be by giving clues (e.g., “This digit is in the hundreds place and its value is 700”).

Guide students to think about how each digit has a different value based on its place. Introduce the goal for the lesson: identifying the value of each digit in numbers up to six digits.

Explore:

Provide each student or pair with a set of digit cards (0-9) and a place value chart up to 1,000,000. Have them create different six-digit numbers and then record the place value and value of each digit.

If they make the number 315,204:

• The value of 3 is 300,000.
• The value of 1 is 10,000.
• The value of 5 is 5,000, etc.

Explain:

Direct Teaching: Explain that the value of a digit depends on its place value. Write several six-digit numbers on the board and model how to determine the value of each digit.

Example: In 784,319, the value of 7 is 700,000, the value of 8 is 80,000, and so on.

Place Value Chart Review: Use a place value chart to reinforce how digits change value depending on their position.

Elaborate:

Divide students into groups and provide them with number cards (six-digit numbers) and place value strips. Have them work together to write out the values of each digit in their assigned numbers. Each group will share one example with the class.

Differentiation:

• Tier 1: Work with smaller six-digit numbers and provide base ten blocks for additional support.
• Tier 2: Work with more complex six-digit numbers and complete the task independently.
• Tier 3: Extend the task by working with numbers that have six digits and rounding to the nearest hundred thousand or ten thousand.

Evaluate:

Students will complete a worksheet with six-digit numbers, identifying the value of specific digits. Example: In 652,143, what is the value of the digit 5?

Collect and review worksheets to gauge understanding. Provide feedback as needed.

Day 2 Lesson Plan

Subject: Mathematics

Grade: 4

Topic: Identifying the Value of Whole Numbers with Up to Seven Digits

Duration: 60 minutes

Objective:

By the end of Day 2, students should be able to:

• Identify the value of digits in a seven-digit number.

Teaching Resources/Materials:

Place value charts (up to 10,000,000), Digit cards (0-9), Number cards (seven-digit numbers), Worksheets for practice and evaluation

Engage:

Start with a “Mystery Number” activity. Give clues to a seven-digit number (e.g., “The value of the first digit is 3,000,000” or “The digit in the hundreds place is 7”). Let students guess the number based on the clues.

Review the previous day’s concepts on six-digit numbers and introduce today’s lesson on seven-digit numbers.

Explore:

Provide each student or pair with a place value chart that extends up to 10,000,000. Have them work with a partner to create different seven-digit numbers using digit cards, then determine the value of each digit.

If the number is 4,205,781:

• The value of 4 is 4,000,000.
• The value of 2 is 200,000.
• The value of 5 is 5,000, etc.

Explain:

Discuss how seven-digit numbers work. Model several examples on the board, explaining how place value increases by 10 times as digits move left.

Examples: In 6,431,208, the value of 6 is 6,000,000, and the value of 4 is 400,000.

Place Value Chart Review: Use a chart to show how place values change with seven digits.

Elaborate:

Create a “Place Value Relay.” Each group gets a number card with a seven-digit number. They will pass a marker between group members, with each member identifying the value of one digit, until the entire number is broken down.

Differentiation:

• Tier 1: Use smaller numbers (with fewer seven-digit numbers) and provide guidance with place value charts.
• Tier 2: Work independently or in pairs to solve place value problems for seven-digit numbers.
• Tier 3: Challenge students to work with very large seven-digit numbers and round them to the nearest million or hundred thousand.

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Evaluate:

Students complete a worksheet that includes several seven-digit numbers, where they must identify the value of specific digits. Example: In 9,354,217, what is the value of the digit 5?

Review the worksheets for understanding and provide feedback to students.

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