Study Guide — 3.MD.C.7
Relate area to the operations of multiplication and addition
Measure length, weight, capacity, or area using appropriate units and tools.
What this standard means
- Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
- Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
- Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
- Apply relate area to the operations of multiplication and addition with models and explanation
_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. Measure real objects with rulers or scales 2. Estimate before measuring 3. Convert within the same system when required
_See printable PDF for diagram._
Common mistakes
- Gaps or overlaps when measuring length
- Wrong unit for the attribute
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 3.MD.C.7.
- [ ] Chooses appropriate units
- [ ] Measures accurately with no gaps
- [ ] Solves measurement word problems
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors