Study Guide — HSG.GMD.B.4

Identify the shapes of two-dimensional cross-sections of three-dimens…

Compute volume, surface area, and cross-sections of solids.

What this standard means

• Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
• Apply identify the shapes of two-dimensional cross-sections of three-dimens… with models and explanation
• Computes volume of common solids

_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. Draw and label 3D diagrams 2. Write volume formulas before substituting 3. Identify cross-sections when slicing solids

_See printable PDF for diagram._

Common mistakes

• Mixing volume and surface area formulas
• Wrong units

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 HSG.GMD.B.4.

• [ ] Computes volume of common solids
• [ ] Finds surface area when required
• [ ] Describes cross-sections of solids

Materials for this standard

• Practice Problems — 20 printable sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors