Unit 6 · 6.EE.A.1–4

Expression Architect

Build math expressions, write powers, and match equal expressions. Click blocks and fill the boxes. Then press Check My Work.

0 of 6 tasks done

Learning Target

Standards: 6.EE.A.1, 6.EE.A.2a, 6.EE.A.2b, 6.EE.A.2c, 6.EE.A.3, 6.EE.A.4 Estimated time: 30–40 min Materials: This activity, pencil/scratch paper
Teacher Notes & Pacing

Pacing

  • Warm-up (3–5 min): Write "2 × 2 × 2 × 2" on the board. Ask, "Is there a shorter way to write this?" Connect to exponent notation.
  • Task 1–2 (8 min): Block-builder for powers. Clarify that the blocks build the expression notation (5^3), not the product (125).
  • Task 3 (5 min): Writing expressions. Discuss that "more than" signals addition, and encourage correct order (n + 7).
  • Task 4 (5 min): Parts of an expression. Use the visual chip prompts. Vocab: coefficient, variable, constant.
  • Task 5–6 (8 min): Evaluating and the distributive property. For Task 6, have students expand 2(x+3) step by step.
  • Debrief (5 min): Share Task 6 strategies. Ask: "Does 2x + 6 and 2(x + 3) always give the same number? Try x = 5."

Grouping

  • Tasks 1 and 3 (block builders) work well with partners — one student drags blocks, the other checks the expression.
  • Task 4 (vocabulary) is strong as a whole-class think-pair-share before students choose independently.

Differentiation — Support

  • Provide a vocabulary anchor chart: coefficient = number in front of a variable, variable = letter, constant = lone number.
  • For Task 1, provide the sentence: "5 to the 3rd power means 5 is a factor ___ times." Scaffold: 5 × 5 × 5.
  • For Task 5, break into two steps: "(a) 3 × 4 = ? (b) ? + 5 = ?"

Differentiation — Challenge

  • Task 2 extension: "What is 3⁴? What pattern do you notice in powers of 2 vs. powers of 3?"
  • Task 6 extension: "Expand 3(2x − 4). Write two equivalent forms."
  • Ask students to write their own verbal description for a given expression (e.g., "What story could 5n + 2 tell?").

ESOL / Language Supports

  • Key operation words: "more than" → add; "times" → multiply; "less than" → subtract. Post a word wall.
  • Allow students to read Task 3 aloud before writing: speaking the phrase often clarifies word order.
  • For Task 4, connect "coefficient" to the everyday word "co-" (together with) — the number that works together with the variable.
  • Sentence frame for Task 5: "When x = ___, the expression 3x + 5 becomes 3 × ___ + 5 = ___ + 5 = ___."

Task 1 — Build a Power

Build 5 to the 3rd power (5 used as a factor 3 times). Click blocks to add them. Click a built block to remove it.

Block bank
Your build

Tip: a power looks like base, then ^, then exponent.

Task 2 — Find the Value

What is the value of 2⁴? (2 × 2 × 2 × 2)

Task 3 — Write the Expression

Write an expression: "7 more than a number n." Build it with blocks in the right order.

Block bank
Your build

"More than" means add.

Task 4 — Name the Parts

Look at the expression 4x + 9. Pick the correct word for each part.

The 4 in 4x is the…
The x is the…
The 9 is the…

Task 5 — Plug In and Solve

Evaluate 3x + 5 when x = 4.

First multiply 3 × 4, then add 5.

Task 6 — Match Equal Expressions

Use the distributive property. Which expression is equal to 2(x + 3)?

Multiply 2 by each part inside the parentheses.

Performance Rubric — Expressions & Exponents (6.EE.A.1–4)

Score Level Descriptor
4 — Exceeds Expert Correctly completes all 6 tasks. Can explain the difference between a coefficient and a constant, and can verify equivalence with a numerical example. Reflection demonstrates conceptual understanding of why the distributive property works.
3 — Meets Proficient Correctly completes 5–6 tasks. Builds correct expressions with blocks, evaluates 2⁴ and 3x+5 correctly, and identifies parts of an expression with at most one error. Applies the distributive property to Task 6.
2 — Approaching Developing Correctly completes 3–4 tasks. May confuse exponent notation (5^3 vs. 5×3), or mix up coefficient and constant. Evaluates the expression with arithmetic errors (e.g., adds 3+4 instead of multiplying in Task 5).
1 — Beginning Emerging Correctly completes 0–2 tasks. May not understand exponent notation or the meaning of a variable. Needs direct instruction on expression vocabulary and evaluation using substitution.
Teacher Answer Key

Correct Answers

  1. Task 1 — Build a Power: Blocks in order: 5 ^ 3 (joined string "5^3"). The blocks represent the exponent notation, not the value 125.
  2. Task 2 — Evaluate 2⁴: 2 × 2 × 2 × 2 = 16
  3. Task 3 — Write "7 more than n": Blocks in order: n + 7 (joined string "n+7"). Accept "7+n" conceptually; the auto-grader checks "n+7" — note for manual review if needed.
  4. Task 4a — The 4 in 4x: coefficient (the number multiplied by the variable)
  5. Task 4b — The x: variable (a letter representing an unknown quantity)
  6. Task 4c — The 9: constant (a fixed number with no variable)
  7. Task 5 — Evaluate 3x + 5 when x = 4: 3(4) + 5 = 12 + 5 = 17
  8. Task 6 — 2(x + 3): 2·x + 2·3 = 2x + 6

Common Errors to Watch For

  • Task 1: Students may build "5 3" without the "^" caret. Remind them the caret is the exponent symbol.
  • Task 2: Students may multiply 2 × 4 = 8 (confusing 2⁴ with 2×4). Have them expand: 2×2×2×2.
  • Task 5: Students may calculate 3 + 4 + 5 = 12 (adding instead of substituting). Emphasize that 3x means "3 times x."
  • Task 6: Students may choose 2x + 3 (distributing the 2 to x only). Stress that multiplication distributes to every term inside the parentheses.
Deliverable: Complete all 6 tasks and the reflection above, then press Check My Work. When your results appear, use Save as PDF or Save as DOC to submit your completed activity to your teacher.