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End of Year Review & MCAP Prep

Standards: All Grade 6 domains — 6.RP · 6.NS · 6.EE · 6.G · 6.SP

Directions: This review covers the whole year. Use the vocabulary box and the worked examples to remind yourself of each skill. Solve one problem from each domain. Show your work.

Vocabulary Helper

⚖️ Ratio & Unit Rate
A ratio compares two numbers (3:5). A unit rate has a denominator of 1 ($4.50 per pound).
➗ Dividing Fractions
Keep-Change-Flip: ⅔ ÷ ¼ = ⅔ × 4/1 = 8/3.
📏 Absolute Value
Distance from zero: |−7| = 7.
📐 Area of a Triangle
A = ½ × base × height.
📊 Mean & Median
Mean = add all, divide by count. Median = middle value when sorted.
📦 Volume of a Prism
V = length × width × height.

Worked Examples

EXAMPLE A — Unit Rate (6.RP)

$12 for 4 pounds of apples:

  1. Divide cost by pounds: 12 ÷ 4.
  2. Unit rate = $3 per pound.
EXAMPLE B — Mean (6.SP)

Find the mean of 4, 8, 6, 2:

  1. Add: 4 + 8 + 6 + 2 = 20.
  2. Divide by count (4): 20 ÷ 4 = 5.

Sentence Frames

A unit rate of $12 for 4 pounds is per pound because I divide by .
The area of a triangle with base 6 and height 4 is because A = ½ × × .
The mean of a data set is found by adding all values and by the number of values.

Guided Practice

1. Find the unit rate: $15 for 3 notebooks. 6.RP

Hint: Divide $15 by 3.

2. What is 25% of 80? 6.RP

Hint: 25% = 0.25. Multiply 0.25 × 80.

3. Solve: ⅔ ÷ ¼ 6.NS

Hint: Keep-Change-Flip.

4. What is |−12|? 6.NS

Hint: Distance from zero is always positive.

5. Evaluate 2x + 5 when x = 6. 6.EE

Hint: Replace x with 6.

6. Solve: x + 9 = 17 6.EE

Hint: Subtract 9 from both sides.

7. Find the area of a triangle with base 10 and height 6. 6.G

Hint: A = ½ × base × height.

8. Find the volume of a box that is 4 × 3 × 2. 6.G

Hint: V = length × width × height.

9. Find the mean of 5, 10, 15. 6.SP

Hint: Add them, then divide by 3.

10. Find the median of 3, 7, 2, 9, 5. 6.SP

Hint: Sort the numbers first, then find the middle.

Answer Key

  1. $5 per notebook
  2. 20 — 0.25 × 80 = 20
  3. 8/3 (2⅔) — ⅔ × 4/1 = 8/3
  4. 12
  5. 17 — 2(6) + 5 = 12 + 5 = 17
  6. x = 8
  7. 30 — ½ × 10 × 6 = 30
  8. 24 — 4 × 3 × 2 = 24
  9. 10 — (5+10+15) ÷ 3 = 30 ÷ 3 = 10
  10. 5 — sorted: 2, 3, 5, 7, 9; middle is 5