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Grade 5 · unit review

Review: Write Expressions and Analyze Paired Patterns

Use grouping symbols, translate instructions, compare expression structure, and generate paired rules.

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Unit review questions
1. Evaluate 3×(8+5).
Need a hint?
  • Treat the grouped sum as one quantity.
  • Do not ignore parentheses when multiplying a sum.
2. Add 8 and 7, then multiply the total by 3. Which expression matches?
Need a hint?
  • Identify what quantity the later operation uses.
  • A multiplier after a total needs grouping around the total.
3. Compare 6×(137+48) with 137+48. How is the first related to the second?
Need a hint?
  • Treat the identical grouped part as one named quantity.
  • Times as large and more are different relationships.
4. Patterns start at zero. A adds 2 each step and B adds 6. At step 6, what is B’s value?
Need a hint?
  • Pair values from the same step row.
  • A different starting value can change a simple multiplier relationship.

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Use the skills in a new task

Start at zero in two patterns: add three and add six. Write the first four paired terms and explain the relationship.

Work on paper or in your own document. Explain the choices you made.

  • Draw or label the numbers or shape features the task gives you.
  • Say why each calculation or shape choice follows the ideas in this unit.
  • Check that your answer fits the story or drawing in the task.
Compare with a model response

Pairs are (0,0),(3,6),(6,12),(9,18). The second entry is twice the first because each rule begins at zero and its step is twice as large. Different starting values could change that relationship.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.