Lesson Plan: Place Value and Operations with Whole Numbers

Grade: Year 4 Topic: Place Value of Numbers Greater than 1000, Decompose, Compose, and Regroup Whole Numbers, Multiply and Divide Whole Numbers by 10 and 100

Objectives: 1. Understand the place value of numbers greater than 1000. 2. Decompose and compose whole numbers using place value. 3. Regroup whole numbers when adding or subtracting. 4. Multiply and divide whole numbers by 10 and 100.

Materials: - Whiteboard or chart paper - Markers - Place value charts - Base-10 blocks or place value blocks - Worksheets (optional) - Calculators (optional)

Starter (10 minutes): 1. Display a number on the board, such as 3,456. 2. Ask students to identify the place value of each digit in the number. 3. Discuss as a class and write the place value of each digit on the board. 4. Repeat the process with a few more numbers, gradually increasing the complexity.

Main Activity (40 minutes): 1. Introduce the concept of decomposing and composing whole numbers using place value. 2. Use a place value chart to demonstrate how to decompose a number into its place value parts. Example: 3,456 = 3,000 + 400 + 50 + 6 3. Provide students with a few numbers and ask them to decompose them into their place value parts. Example: 2,345 = __ + __ + __ + __ 4. Discuss the answers as a class and correct any misconceptions. 5. Next, demonstrate how to compose a number using its place value parts. Example: 2,000 + 300 + 40 + 5 = __ 6. Provide students with a few place value parts and ask them to compose a number. Example: 1,000 + 200 + 30 + 4 = __ 7. Discuss the answers as a class and correct any misconceptions.

Differentiation: - For students who need extra support, provide them with manipulatives such as base-10 blocks or place value blocks to physically represent the numbers and their place value parts. - For students who need a challenge, provide them with larger numbers to decompose and compose, or ask them to explain their thinking and strategies in writing.

Regrouping Activity (20 minutes): 1. Introduce the concept of regrouping when adding or subtracting whole numbers. 2. Use a place value chart to demonstrate how to regroup when adding or subtracting. Example: 1,234 + 567 = __ 3. Provide students with a few addition and subtraction problems that require regrouping. Example: 2,345 - 1,678 = __ 4. Allow students to solve the problems independently or in pairs. 5. Discuss the answers as a class and correct any misconceptions.

Multiplication and Division (20 minutes): 1. Introduce the concept of multiplying and dividing whole numbers by 10 and 100. 2. Explain that multiplying by 10 or 100 shifts the digits to the left, while dividing by 10 or 100 shifts the digits to the right. 3. Provide examples and ask students to solve them mentally or using calculators. Example: 456 x 10 = __ 789 ÷ 100 = __ 4. Discuss the answers as a class and correct any misconceptions.

Conclusion (5 minutes): 1. Recap the main concepts covered in the lesson: place value of numbers greater than 1000, decomposing and composing whole numbers, regrouping, and multiplying and dividing by 10 and 100. 2. Ask students to share one thing they learned or found interesting during the lesson.

Assessment: - Observe students’ participation and engagement during class activities. - Review students’ answers to the decomposing, composing, regrouping, and multiplication/division problems. - Use exit tickets or worksheets to assess individual understanding if desired.