Career Ready Standard or other state standard based on the Number and Operations in Base Ten domain.

Full Answer Section

• Students will be able to represent the decomposition of a two-digit number using a place value table. (DOK 2)
• Students will be able to use place value decomposition to solve addition problems within 100. (DOK 3)

Materials:

• Place value blocks (tens and ones)
• Whiteboard or chart paper
• Markers or crayons
• Worksheets with addition problems (within 100)

Introduction (10 minutes):

• Activate Prior Knowledge: (Review) Show students a handful of objects (pencils, erasers, etc.) and ask them to estimate how many there are. Then, count the objects together. Relate this activity to counting tens and ones in a two-digit number.

Academic Language Support: Introduce and explain the terms "tens," "ones," "place value," and "decompose" in a child-friendly manner. Use gestures and visuals (pointing to tens and ones blocks) to support understanding.

Instruction (20 minutes):

1. Demonstration: Show students a two-digit number written on the board (e.g., 34). Using place value blocks, demonstrate how to decompose the number into 3 tens blocks and 4 ones blocks. Explain that decomposing a number means separating it into its place values.
2. Guided Practice: Distribute place value blocks to students. Call out different two-digit numbers and ask students to build the number using tens and ones blocks. Encourage them to explain their thinking out loud (e.g., "27 has 2 tens and 7 ones").
3. Independent Practice: Provide students with a worksheet with place value tables. Each row should show a two-digit number, with empty spaces for tens and ones. Students will decompose the numbers by writing the tens and ones values in the corresponding boxes.

Multiple Means of Engagement:

• Kinesthetic Learners: Allow students to manipulate place value blocks throughout the lesson to reinforce the concept of decomposing numbers.
• Visual Learners: Use visuals such as place value charts and drawings to represent the decomposition process.
• Auditory Learners: Provide clear verbal instructions and explanations. Encourage students to explain their thinking out loud when working with place value blocks.

Part 2: DOK Essential Questions

Activating Prior Knowledge (DOK 1):

1. How many pencils do you see on my desk? (Count together)
2. Can you estimate how many erasers are in this bag?
3. What do we call the individual pencils we can count? (Ones)
4. How do we group pencils together to count them faster? (Tens)
5. Have you ever seen a number with two digits? (Yes/No)

Lesson Progression (DOK Levels):

DOK 1 (Recall and Reproduction):

6. How many tens blocks do we need to build the number 23?
7. Show me 42 using place value blocks.
8. Can you write the number of ones blocks needed to build 18?

DOK 2 (Skill-Conceptual):

9. Look at the number 56. How can we decompose it into tens and ones?
10. How is the number 31 different from the number 13 when using place value blocks?
11. Complete the place value table: tens ones 4 _

DOK 3 (Strategic Thinking):

12. We have 28 ones blocks. How many tens blocks and ones blocks can we make?
13. Represent the decomposition of 75 using a drawing.
14. Use place value blocks to solve the problem: 17 + 23 = ?

DOK 4 (Extended Thinking):

15. Explain how decomposing a number helps us solve addition problems.
16. Can you think of another way to decompose the number 64?
17. Is there a limit to how many tens blocks we can use for a two-digit number? Why or why not?
18. Create your own word problem that involves decomposing a number to solve an addition problem.
19. Challenge

Sample Answer

Grade Level: 3

Standard: Arizona College and Career Ready Standard (ACCRR) 3.NBT.A.2:

• Fluently add and subtract within 1000 using strategies and algorithms based on place value.

Lesson Topic: Decomposing Numbers to Add (within 100)

Learning Objectives:

• Students will be able to decompose a two-digit number into tens and ones using place value blocks. (DOK 1)