HUNTERTUTORING

Study Guide — 8.G.C.9

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Know the formulas for the volumes of cones, cylinders, and spheres an…

Compare flat (2D) and solid (3D) shapes and describe their features.

What this standard means

  • Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
  • Apply know the formulas for the volumes of cones, cylinders, and spheres an… with models and explanation
  • Identifies 2D vs 3D shapes

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Match real-world objects to shape names 2. Draw flat faces of solids 3. Build solids with clay or blocks

_See printable PDF for diagram._

Common mistakes

  • Calling a flat drawing a solid
  • Missing faces on 3D models

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 8.G.C.9.

  • [ ] Identifies 2D vs 3D shapes
  • [ ] Names common solids
  • [ ] Describes faces, edges, or curves

Materials for this standard

  • Practice Problems — 20 printable sets (computational and word problems)
  • Review — 10 difficulty levels
  • Practice Test — 10 difficulty levels
  • Answer key — for parents and tutors

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