Math · Quarter 4 Review · Weeks 28–36 · 20–30 min

Scoring Guide: Quarter 4 Review: Mathematics

40 points total

Part 1: Area

10 points

Find the area. Write square units in each answer.

1.
Square-centimeter tiles cover a rectangle with no gaps. There are 6 rows with 4 tiles in each row. What is the area?
(2 pts)
Answer: 24 square centimeters
2.
A bulletin board is 7 feet long and 5 feet wide. What is its area?
(2 pts)
Answer: 35 square feet
3.
Find the area of a 6 by 9 rectangle by splitting it into a 6 by 5 rectangle and a 6 by 4 rectangle. Show both parts.
(3 pts)
Answer: 6 × 5 = 30 and 6 × 4 = 24; 30 + 24 = 54 square units
4.
A T-shape is made of a 2 by 7 rectangle and a 5 by 3 rectangle that do not overlap. What is the area of the T-shape?
(3 pts)
Answer: 29 square units (14 + 15)

Scoring: Items 1–2: 2 points for the number with the right unit; 1 point for the right number with a missing or wrong unit (for example, feet instead of square feet). Items 3–4: 1 point for each part and 1 point for the total.

Reteach if needed: Week 28, Week 29. Week 28 Days 2–3 (square units and counting by rows), Week 29 Days 1–2 (multiplying side lengths), Week 29 Day 3 (splitting a rectangle) and Week 28 Day 4 and Week 29 Day 4 (shapes made of rectangles).

Part 2: Perimeter; Area & Perimeter Together

10 points

Find the perimeter, the area or the missing side. Write the unit.

5.
A triangle has sides of 9, 12 and 15 centimeters. What is its perimeter?
(2 pts)
Answer: 36 centimeters
6.
A rectangle has a perimeter of 26 meters. Its length is 7 meters. What is its width? Show how you found it.
(3 pts)
Answer: 6 meters (7 + 7 = 14; 26 − 14 = 12; 12 ÷ 2 = 6)
7.
A rectangle is 7 units by 4 units. (a) What is its area? (b) What is its perimeter?
(2 pts)
Answer: (a) 28 square units (b) 22 units
8.
Two rabbit pens each use 20 feet of fence. Pen A is 8 feet by 2 feet. Pen B is 6 feet by 4 feet. (a) Find the area of each pen. (b) Which pen gives a rabbit more room?
(3 pts)
Answer: (a) Pen A: 16 square feet; Pen B: 24 square feet (b) Pen B

Scoring: Item 1: 2 points for the number and unit; 1 point for the number only. Item 2: 1 point for subtracting the two lengths, 1 point for halving and 1 point for 6 meters. Item 3: 1 point for each part. Item 4: 1 point for each area and 1 point for Pen B.

Reteach if needed: Week 30, Week 31. Week 30 Day 3 (adding side lengths), Week 30 Day 4 (finding an unknown side from the perimeter), Week 31 Day 1 (area and perimeter of one rectangle) and Week 31 Day 3 (same perimeter, different areas).

Part 3: Shapes & Equal Parts

11 points

Answer, draw or mark each item.

9.
A stop sign is a polygon with 8 straight sides. (a) What is the name of this polygon? (b) How many vertices does it have?
(2 pts)
Answer: (a) octagon (b) 8 vertices
10.
A quadrilateral has 4 square corners. Its sides are 9, 4, 9 and 4 centimeters long. What is its most specific name?
(2 pts)
Answer: Rectangle
11.
Write T for true or F for false. ___ Every rhombus has 4 equal sides. ___ Every rectangle is a rhombus. ___ Every square is a parallelogram. ___ A triangle is a quadrilateral.
(2 pts)
Answer: T, F, T, F
12.
Kai says a square is not a rectangle because all of its sides are equal. Is Kai right? Explain.
(3 pts)
Answer: No. Look for: a rectangle is any quadrilateral with 4 square corners; a square has 4 square corners, so it is a rectangle too (a special one with 4 equal sides).
13.
On grid paper, draw a rectangle 8 squares long and 3 squares tall. Draw lines to split it into 4 equal parts. (a) How many squares are in each part? (b) What fraction of the area is each part?
(2 pts)
Answer: (a) 6 squares (24 ÷ 4 = 6) (b) 1/4

Scoring: Item 1: 1 point for each part. Item 2: 2 points for rectangle. Item 3: 2 points if all four are right; 1 point if three are right. Item 4: 1 point for "no" and up to 2 points for the 4-square-corners reason. Item 5: 1 point for each part (part (a) also needs lines that make 4 equal parts of 6 squares each; the parts may have different shapes).

Reteach if needed: Week 33, Week 34. Week 33 Days 1–2 (naming polygons; sides and vertices), Week 33 Day 3 (equal parts of shapes), Week 34 Day 1 (squares and rectangles) and Week 34 Days 2 and 4 (rhombuses, parallelograms and the family tree).

Part 4: Graphs

9 points

Read the picture graph "Stickers Earned This Week" for items 1–3. The key says each picture stands for 2 stickers; half a picture stands for 1 sticker. The graph shows: Omar 4 pictures; Priya 6 and a half pictures; Finn 2 pictures; Jade 5 and a half pictures. Then answer item 4.

14.
Use the picture graph. How many stickers did Priya earn?
(2 pts)
Answer: 13 stickers
15.
How many more stickers did Priya earn than Finn?
(2 pts)
Answer: 9 more stickers (13 − 4)
16.
How many fewer stickers did Omar earn than Priya and Jade together? Show both steps.
(3 pts)
Answer: 16 fewer (13 + 11 = 24; 24 − 8 = 16)
17.
(a) A bar graph has a scale that counts by 5s. A bar ends on the seventh line above 0. What number does the bar show? (b) Another bar graph has a scale that counts by 10s. Where does a bar for 95 end?
(2 pts)
Answer: (a) 35 (b) halfway between 90 and 100

Scoring: Items 1–2: 2 points each; for item 2, give 1 point if your child finds both amounts but subtracts wrong. Item 3: 1 point for each step and 1 point for 16. Item 4: 1 point for each part.

Reteach if needed: Week 35. Week 35 Day 1 (picture graphs with a key), Week 35 Day 2 (bar graphs with a scale) and Week 35 Day 3 (how many more and how many fewer).

Score box

Part	Points earned	Possible
1. Area		10
2. Perimeter; Area & Perimeter Together		10
3. Shapes & Equal Parts		11
4. Graphs		9
Total		40

Level: Enter points to see the level.

D · Developing: 0–19
A · Approaching: 20–27
P · Proficient: 28–35
E · Exceeding: 36–40