Worksheet directions

Grade 6 • Guided Practice • Work with your teacher or a partner. Discuss the model or strategy, then complete each problem.

Sample questions

1. Rewrite 3x + 6 as a product. Explain why your expression has the same value for every x.
2. Are 4(x + 3) and 4x + 3 equivalent? Test x = 2, then explain the general error.
3. A student checks x = 0 and claims 3x + 4 and 4x + 4 are equivalent. Explain why one matching value is insufficient and give a counterexample.
4. A student checks x = 0 and claims 4x + 4 and 5x + 4 are equivalent. Explain why one matching value is insufficient and give a counterexample.
5. Write two equivalent expressions for the total represented by the grouped tiles. Explain the distributive property.
6. A student checks x = 0 and claims 2x + 4 and 3x + 4 are equivalent. Explain why one matching value is insufficient and give a counterexample.

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 6.EE.A.3–4. Review the learning goals below to check the fit for your class.

• 6.EE.A.3 — Apply properties to generate equivalent expressions
• 6.EE.A.4 — Identify equivalent expressions

Bring it into your lesson

Review the preview and question content above. Open the resource in Sparkclass to copy it to your Files and use it in your workspace. Check the resulting layout before sharing it with students.