Math · Unit 6 · Weeks 31–36 · 30–40 min

Scoring Guide: Shapes, Data & Year Review

51 points total

Part 1: Area & Perimeter Together

18 points

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

1.
A rectangle is 9 units by 5 units. (a) What is its area? (b) What is its perimeter?
(2 pts)
Answer: (a) 45 square units (b) 28 units
2.
Name two different rectangles that each have an area of 30 square units. Give the perimeter of each.
(3 pts)
Answer: Answers vary. Look for: two of 1 by 30 (perimeter 62 units), 2 by 15 (perimeter 34 units), 3 by 10 (perimeter 26 units), 5 by 6 (perimeter 22 units).
3.
Which rectangle with a perimeter of 26 units has the greatest area?
(2 pts)
Answer: 6 by 7
4.
Write A for an area problem or P for a perimeter problem. ___ putting ribbon around the edge of a picture frame ___ covering a wall with paint
(2 pts)
Answer: P, A
5.
A patio has an area of 27 square meters. One side is 3 meters long. (a) How long is the other side? (b) What is the perimeter of the patio?
(3 pts)
Answer: (a) 9 meters (b) 24 meters
6.
A floor plan is made of an 8 by 3 rectangle and a 2 by 5 rectangle that do not overlap. What is the total area?
(2 pts)
Answer: 34 square units (24 + 10)
7.
Rectangle A is 1 by 6. Rectangle B is 2 by 3. Do they have the same area? Do they have the same perimeter? Explain with numbers.
(4 pts)
Answer: Same area: both are 6 square units. Different perimeters: A is 14 units and B is 10 units. Look for: rectangles with the same area can have different perimeters.

Scoring: Item 1: 1 point for each part. Item 2: 3 points for two correct rectangles with both perimeters; 2 points if one perimeter is wrong or missing; 1 point for one correct rectangle. Item 3: 2 points for 6 by 7 (its area is 42 square units; 2 by 11 has 22 and 4 by 9 has 36). Item 4: 1 point for each letter. Item 5: 1 point for 9 meters and 2 points for 24 meters (1 point if your child adds only two sides). Item 6: 1 point for both parts (24 and 10) and 1 point for 34 square units. Item 7: 1 point for each area fact, 1 point for both perimeters and 1 point for the conclusion.

Reteach if needed: Week 31, Week 32. Week 31 Days 1–3 (area and perimeter of one rectangle; same area, different perimeters; same perimeter, different areas), Week 31 Day 4 (area or perimeter?), Week 32 Days 1–2 (shapes made of rectangles; unknown sides) and Week 32 Day 4 (Garden Fence Challenge).

Part 2: Polygons & Quadrilaterals

13 points

Answer, draw or mark each item.

8.
A polygon has 5 vertices. (a) How many sides does it have? (b) What is its name?
(2 pts)
Answer: (a) 5 sides (b) pentagon
9.
Which shape is NOT a polygon?
(2 pts)
Answer: circle
10.
A quadrilateral has 4 equal sides but no square corners. What is its most specific name?
(2 pts)
Answer: Rhombus
11.
Write T for true or F for false. ___ Every square is a rectangle. ___ Every rectangle is a square. ___ Every rhombus is a quadrilateral. ___ Every quadrilateral has 4 equal sides.
(2 pts)
Answer: T, F, T, F
12.
Draw a quadrilateral that is not a square, a rectangle or a rhombus. Write one reason it is still a quadrilateral.
(2 pts)
Answer: Answers vary. Look for: a closed shape with 4 straight sides, sides that are not all the same length and at least one corner that is not a square corner (for example, a trapezoid); reason: it has 4 sides (and 4 vertices).
13.
Sam says a square is not a rhombus because a square has square corners. Is Sam right? Explain.
(3 pts)
Answer: No. Look for: a rhombus is any quadrilateral with 4 equal sides; a square has 4 equal sides, so it is a rhombus too (a special one with square corners).

Scoring: Items 1–3: 2 points each (item 1: 1 point for each part). Item 4: 2 points if all four are right; 1 point if three are right. Item 5: 1 point for a correct drawing and 1 point for the reason. Item 6: 1 point for "no" and up to 2 points for the 4-equal-sides reason.

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

Part 3: Equal Parts of Shapes

7 points

Draw, write the fraction or explain.

14.
A rectangle is split into 8 equal parts. (a) What fraction of the area is one part? (b) What fraction of the area are 3 parts?
(2 pts)
Answer: (a) 1/8 (b) 3/8
15.
A rectangle of 20 grid squares is 4 rows of 5. 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) 5 squares (b) 1/4
16.
One straight line from corner to corner splits a square into 2 triangles. Is each triangle 1/2 of the square? Explain.
(3 pts)
Answer: Yes. Look for: the two triangles are the same size (they match when one is flipped onto the other), so each has half of the area.

Scoring: Items 1–2: 1 point for each part (item 2 also needs lines that make 4 equal parts of 5 squares each). Item 3: 1 point for "yes" and up to 2 points for the same-size reason.

Reteach if needed: Week 33. Week 33 Day 3 (splitting shapes into equal areas and naming each part as a unit fraction).

Part 4: Graphs & Line Plots

13 points

Read the picture graph "Our Favorite Fruit" for items 1–3. The key says each picture stands for 10 children; half a picture stands for 5 children. The graph shows: Apples 3 pictures; Bananas 2 and a half pictures; Grapes 4 pictures; Pears 1 and a half pictures. Then answer items 4–5.

17.
Use the picture graph. How many children chose bananas?
(2 pts)
Answer: 25 children
18.
How many more children chose grapes than pears?
(2 pts)
Answer: 25 more children (40 − 15)
19.
How many fewer children chose bananas than apples and pears together? Show both steps.
(3 pts)
Answer: 20 fewer (30 + 15 = 45; 45 − 25 = 20)
20.
Make a bar graph of these class-pet votes. Use a scale that counts by 2s. Fish 6, Rabbit 13, Turtle 8. Add a title and labels. How many more children chose Rabbit than Fish?
(2 pts)
Answer: Bars: Fish ends at 6, Rabbit ends halfway between 12 and 14, Turtle ends at 8, with a title and labels. 7 more children (13 − 6).
21.
Pencil lengths in inches: 3, 3 1/4, 3 1/2, 3 1/2, 3 3/4, 4, 3 1/2, 3 1/4. (a) Make a line plot marked in quarter inches from 3 to 4. (b) Which length is most common? (c) How many pencils are shorter than 3 1/2 inches?
(4 pts)
Answer: (a) A line marked 3, 3 1/4, 3 1/2, 3 3/4, 4 with Xs: 3 (1), 3 1/4 (2), 3 1/2 (3), 3 3/4 (1), 4 (1). (b) 3 1/2 inches (c) 3

Scoring: Items 1, 2 and 4: 2 points each; for item 2, give 1 point if your child finds both amounts but subtracts wrong; for item 4, give 1 point for three correct bars on a scale of 2s and 1 point for 7. Item 3: 1 point for each step and 1 point for 20. Item 5: 2 points for a correct line plot (1 point if one X is missing or misplaced), 1 point for 3 1/2 inches and 1 point for 3.

Reteach if needed: Week 35, Week 36. Week 35 Days 1–2 (scaled picture graphs and bar graphs), Week 35 Day 3 (how many more and how many fewer) and Week 36 Day 3 (line plots in halves and quarters review; first taught in Week 24).

Score box

Part	Points earned	Possible
1. Area & Perimeter Together		18
2. Polygons & Quadrilaterals		13
3. Equal Parts of Shapes		7
4. Graphs & Line Plots		13
Total		51

Level: Enter points to see the level.

D · Developing: 0–25
A · Approaching: 26–35
P · Proficient: 36–45
E · Exceeding: 46–51