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

Shapes, Data & Year Review

51 points total · Name: ____________________ Date: __________

For the adult

Give this test on a calm day, after the unit's last lesson. Sit with your child and read the directions for each part aloud. Read any item aloud if your child asks. Reading is not what this test checks. Do not time the test. The time given is only a guide, so you can plan. Take a short break between parts if your child is tired. Do not teach or hint during the test. If your child is stuck, say "Do your best, then we can move on." When you score, use the answer and the partial-credit notes for each part. Then add the points and find the level at the end. Your child may use grid paper, square tiles, a piece of string, an index card for checking square corners, crayons and an inch ruler with quarter-inch marks. Remind your child to read each graph's key or scale first, to write square units for area and plain units for perimeter, and to sketch each shape. The short year-end check on the same day is separate; give it after a break, not as part of this test.

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)
2.
Name two different rectangles that each have an area of 30 square units. Give the perimeter of each.
(3 pts)
3.
Which rectangle with a perimeter of 26 units has the greatest area?
(2 pts)
○ 2 by 11○ 4 by 9○ 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)
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)
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)
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)

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)
9.
Which shape is NOT a polygon?
(2 pts)
○ triangle○ circle○ octagon○ pentagon
10.
A quadrilateral has 4 equal sides but no square corners. What is its most specific name?
(2 pts)
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)
12.
Draw a quadrilateral that is not a square, a rectangle or a rhombus. Write one reason it is still a quadrilateral.
(2 pts)
13.
Sam says a square is not a rhombus because a square has square corners. Is Sam right? Explain.
(3 pts)

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)
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)
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)

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)
18.
How many more children chose grapes than pears?
(2 pts)
19.
How many fewer children chose bananas than apples and pears together? Show both steps.
(3 pts)
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)
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)