Unit Plan 32 (Grade 2 Math): NBT Problem Solving—100s, 10s, and 1s
Strengthen 2- and 3-digit addition/subtraction using place-value strategies, mental +10/+100 shifts, compensation, and open number lines; check solutions with estimation for reasonableness.
Focus: Targeted tasks to solidify 2-digit and 3-digit addition/subtraction and mental 10s/100s shifts using place-value reasoning.
Grade Level: 2
Subject Area: Mathematics (Number & Operations in Base Ten • Operations & Algebraic Thinking)
Total Unit Duration: 5 sessions (one week), 45–60 minutes per session
I. Introduction
Students strengthen computation with hundreds–tens–ones by using compose/decompose, compensation, and open number lines. Daily problem strings and error analysis push flexible thinking, while quick mental 10s/100s shifts build fluency and number sense.
Essential Questions
- How does place value help me choose an efficient strategy for addition/subtraction?
- When should I solve mentally (add/sub 10 or 100) and when should I use a model or written method?
- How do I check reasonableness (estimate, inverse operations, compatible numbers)?
II. Objectives and Standards
Learning Objectives — Students will be able to:
- Add/subtract within 100 using place-value strategies, properties, and the relationship between addition and subtraction.
- Add up to four two-digit numbers using efficient grouping (friendly 10s) and explain choices.
- Add/subtract within 1,000 using base-ten models, drawings, and open number lines; connect steps to place value.
- Make mental 10s/100s shifts (e.g., 267 + 100, 542 − 10) and explain why the digit(s) change.
- Explain why strategies work using place value and properties; identify and correct common errors.
Standards Alignment — CCSS Grade 2 (focus this week)
- 2.NBT.5: Fluently add/subtract within 100 using place value, properties, and relationship between +/–.
- 2.NBT.6: Add up to four two-digit numbers.
- 2.NBT.7: Add/subtract within 1,000 using models/drawings and strategies; relate to a written method.
- 2.NBT.8: Mentally add/subtract 10 or 100 to a given number 100–900.
- 2.NBT.9: Explain why addition/subtraction strategies work.
- Mathematical Practices: MP.7 (look for/use structure) featured; MP.1, MP.3, MP.6 supported.
Success Criteria — Student Language
- I can do +10/–10 or +100/–100 in my head and tell why it works.
- I can show compose/decompose or compensation with a model (blocks or open number line).
- I can check my answer by estimating or using the inverse operation and fix mistakes.