Unit Plan 9 (Grade 6 Math): Multi-Digit & Decimal Fluency
6th graders master fluency with multi-digit division and decimal operations through estimation, standard algorithms, and real-world contexts. They apply place-value reasoning, check for accuracy and reasonableness, and communicate results clearly with correct units and rounding.
Focus: Fluently divide multi-digit numbers and operate with decimals in real contexts.
Grade Level: 6
Subject Area: Mathematics (Number System • Whole Numbers and Decimals)
Total Unit Duration: 5 sessions (one week), 45–60 minutes per session
I. Introduction
This week polishes computation fluency with whole numbers and decimals. Students use estimation and place-value reasoning to check work, practice the standard algorithms (including partial-quotients bridges), and apply skills to real-world contexts (budgets, measurements, pricing). Emphasis: accuracy, efficiency, and reasonableness.
Essential Questions
- How does place value guide the steps of the standard algorithms?
- When and how should I estimate to see if an answer makes sense?
- How do I communicate results clearly with units and correct rounding?
II. Objectives and Standards
Learning Objectives — Students will be able to…
- Divide multi-digit whole numbers using the standard algorithm, supported by partial quotients and estimation.
- Add, subtract, multiply, and divide multi-digit decimals to the hundredths place using standard algorithms.
- Use estimation strategies (front-end, compatible numbers, rounding) to check reasonableness.
- Apply decimal operations in real contexts (money, measurement, rates) and state answers with correct units and rounding.
- Explain common error patterns (misplacing decimal points, subtracting across zeros, partial-quotients slips) and correct them.
Standards Alignment — CCSS Grade 6
- 6.NS.2: Fluently divide multi-digit numbers using the standard algorithm.
- 6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
- Mathematical Practices emphasized: MP.1 (make sense), MP.2 (reason quantitatively), MP.3 (justify), MP.4 (model), MP.5 (use tools), MP.6 (precision), MP.7 (structure), MP.8 (regularity).
Success Criteria — Student Language
- I can use the standard algorithm to divide multi-digit numbers and explain each step.
- I can add, subtract, multiply, and divide decimals and place the decimal point correctly.
- I can estimate first and tell whether my final answer is reasonable.
- I can show work neatly, label units, and round only when the context asks for it.
- I can spot and fix common errors and explain my corrections.