Unit Plan 35 (Grade 7 Math): Mixed Review—Algebra, Geometry, and Data
7th graders tackle integrated math tasks connecting proportions, algebra, geometry, and probability. They model real scenarios, compute with precision, justify reasoning with units, and communicate data-driven conclusions supported by estimation and evidence.
Focus: Multi-standard tasks blending proportions, equations/inequalities, circle area/surface area/volume, and sampling/probability.
Grade Level: 7
Subject Area: Mathematics (Integrated Review • Modeling)
Total Unit Duration: 5 sessions (one week), 45–60 minutes per session
I. Introduction
This capstone-style mixed review weaves key Grade 7 strands in authentic scenarios. Students switch flexibly among proportional reasoning, equations/inequalities, circle measures and 3D geometry, and sampling/probability to analyze and defend decisions. Throughlines: choose the right model, show units, check reasonableness, and communicate uncertainty.
Essential Questions
- Which representation (proportion, equation/inequality, diagram, table/graph) best fits this situation—and why?
- How do units and structure guide circle, surface area, and volume calculations?
- How do I use samples and probability models to make cautious, evidence-based claims?
II. Objectives and Standards
Learning Objectives — Students will be able to…
- Identify and model proportional relationships; compute/interpret unit rate and solve using equations.
- Translate real contexts into equations and inequalities, solve, and interpret solutions with units.
- Compute circumference/area of circles, surface area of prisms/pyramids, and volume of right prisms and right square pyramids; justify reasonableness.
- Draw informal inferences from samples; compare two populations by center/variability; build uniform/empirical probability models and analyze compound events.
- Communicate conclusions clearly with claims, evidence, assumptions, and limitations.
Standards Alignment — CCSS Grade 7 (spiral all week)
- 7.RP.2–3: Proportional relationships and multistep percent/rate problems.
- 7.EE.3–4: Multistep problems with rational numbers; equations/inequalities modeling and solving.
- 7.G.4–6: Circle measures; area/surface area/volume problem solving.
- 7.SP.2–8: Informal inferences; compare populations; probability models; compound events and simulations.
- Mathematical Practices emphasized: MP.1, MP.3, MP.4, MP.5, MP.6, MP.7.
Success Criteria — Student Language
- I can choose a model (proportion/equation/inequality/diagram) and explain why it fits.
- I can keep units straight and label results (linear, square, cubic).
- I can estimate first and check if my final answer is reasonable.
- I can compare groups with center and variability and state limitations.
- I can explain my reasoning clearly and respond to peer questions.