Unit Plan 18 (Grade 3 Math): Midyear Synthesis—Facts, Area/Perimeter, and NBT
Mixed 3rd-grade math review: practice fact fluency, area vs. perimeter, rounding, and two-step word problems using models, equations, and estimates.
 
            Focus: Mixed tasks blending fact fluency, area/perimeter, rounding, and two-step problems; students plan, solve, and justify using models, equations, and estimates.
Grade Level: 3
Subject Area: Mathematics (Integrated Review • OA • NBT • MD)
Total Unit Duration: 5 sessions (one week), 45–60 minutes per session
I. Introduction
Students pull together fall learning: multiplication/division facts, area as square units, perimeter as boundary length, rounding for estimation, and two-step problem solving. They choose strategies, show representations, and defend reasonableness.
Essential Questions
- How do I choose an efficient strategy (property, model, or algorithm) for this problem?
- When should I round to plan or to check, and when should I compute exactly?
- How do representations (arrays, area models, number lines, equations) make my reasoning clear?
II. Objectives and Standards
Learning Objectives — Students will be able to:
- Use properties of operations (commutative/associative/distributive) to build and explain fact fluency.
- Compute and justify area (square units) and perimeter (total boundary) in real contexts.
- Round numbers (nearest 10/100) to estimate, then compute to confirm (within 1,000).
- Solve two-step problems with an equation using a letter for the unknown and check reasonableness.
- Communicate with precision: correct units, labels, and clearly chosen models.
Standards Alignment — CCSS Grade 3 (spiral across the unit)
- 3.OA.1–2: Interpret products/quotients in context.
- 3.OA.5–9: Use properties and patterns; develop fact fluency and analyze errors.
- 3.NBT.1–2: Round to nearest 10/100; fluently add/subtract within 1,000.
- 3.MD.5–8: Area as unit squares; area formula for rectangles; decompose figures; perimeter in context.
- Mathematical Practices: MP.1–MP.6 (perseverance, reasoning, modeling, tools, precision).
Success Criteria — Student Language
- I can pick a strategy (property/model) and explain why it fits the problem.
- I can use rounding to estimate and then compute to check my answer.
- I can label area in square units and perimeter in length units, and write an equation with an unknown.
