Math · Unit 4 · Weeks 19–24 · 30–40 min

Fractions

46 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 will need an inch ruler with half-inch and quarter-inch marks, a pencil and crayons. Your child may draw models and number lines on the page, but put away the paper fraction strips and the fraction wall for this test. All fractions use halves, thirds, fourths, sixths and eighths. When your child compares two fractions, the wholes are always the same size.

Part 1: Naming Fractions

13 points

Write, draw or explain.

1.
A circle is split into 3 equal parts. 2 parts are shaded. (a) What fraction is shaded? (b) What fraction is not shaded?
(2 pts)
2.
(a) Write 7/8 in words. (b) Write "four sixths" as a fraction.
(2 pts)
3.
How many pieces of size 1/8 make 5/8? Draw or explain.
(2 pts)
4.
Draw a square. Split it into 4 equal parts. Shade 3 parts. (a) What fraction of the square's area is each part? (b) What fraction is shaded?
(2 pts)
5.
Is 5/3 less than 1, equal to 1, or greater than 1? How do you know?
(2 pts)
6.
Nora folds a paper strip into 3 parts. Two parts are wide and one part is thin. She says each part is 1/3 of the strip. Is she right? Explain.
(3 pts)

Part 2: Fractions on a Number Line

9 points

Picture each number line, or draw it on the page, then answer.

7.
A number line from 0 to 1 is split into 8 equal spaces. What fraction is at the 7th tick mark after 0?
(2 pts)
8.
A number line from 0 to 2 is marked in thirds. (a) What fraction is at 2? (b) What fraction is at the first mark after 1?
(2 pts)
9.
Draw a number line from 0 to 1. Split it into fourths. Label each mark. Put a dot at 3/4.
(2 pts)
10.
Is 11/8 between 0 and 1 or between 1 and 2? Explain how you know.
(3 pts)

Part 3: Equivalent & Comparing Fractions

16 points

Fill in, compare or explain.

11.
Fill in the missing number. (a) 3/4 = ?/8 (b) 2/6 = ?/3
(2 pts)
12.
(a) Write 5 as a fraction with a denominator of 1. (b) Write 3 as a fraction in halves.
(2 pts)
13.
Write <, > or =. (a) 3/8 ( ) 5/8 (b) 3/4 ( ) 3/6
(2 pts)
14.
Write <, > or =. (a) 4/6 ( ) 2/3 (b) 2/8 ( ) 2/6
(2 pts)
15.
Order these fractions from least to greatest: 2/3, 2/8, 2/4
(2 pts)
16.
Are 2/4 and 3/6 equivalent? Draw a model or a number line to show how you know.
(3 pts)
17.
Ella says 1/6 is greater than 1/4 because 6 is greater than 4. Is she right? Explain.
(3 pts)

Part 4: Measuring & Line Plots

8 points

Use an inch ruler. Measure, draw or make a line plot.

18.
A ruler is marked in quarter inches. A pencil starts at 0 and ends at the third quarter-inch mark after 4. How long is the pencil?
(2 pts)
19.
Use your ruler. Draw a line that is 2 3/4 inches long.
(2 pts)
20.
Ribbon lengths in inches: 1 1/4, 1 1/2, 1 1/2, 1 3/4, 2, 1 1/2, 1 1/4, 2. (a) Make a line plot marked in quarter inches from 1 1/4 to 2. (b) Which length is most common? (c) How many ribbons are longer than 1 1/2 inches?
(4 pts)