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

Scoring Guide: Fractions

46 points total

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)
Answer: (a) 2/3 (b) 1/3
2.
(a) Write 7/8 in words. (b) Write "four sixths" as a fraction.
(2 pts)
Answer: (a) seven eighths (b) 4/6
3.
How many pieces of size 1/8 make 5/8? Draw or explain.
(2 pts)
Answer: 5. Look for: five pieces that are each 1/8, drawn or explained.
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)
Answer: (a) 1/4 (b) 3/4. Drawing: a square split into 4 equal parts (strips, a 2-by-2 grid or triangles) with 3 parts shaded.
5.
Is 5/3 less than 1, equal to 1, or greater than 1? How do you know?
(2 pts)
Answer: Greater than 1. Look for: 3/3 makes 1 whole, and 5/3 is 2 more thirds than that.
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)
Answer: No. Look for: the parts must be equal in size to be thirds; these parts are not equal.

Scoring: Items 1–2: 1 point for each part. Item 3: 2 points for 5 with a drawing or reason; 1 point for 5 with no drawing or reason. Item 4: 1 point for 4 equal parts with 1/4 for each part, and 1 point for 3 parts shaded with 3/4. Item 5: 1 point for "greater than 1" and 1 point for the reason. Item 6: 3 points for "no" and an equal-size reason; 2 points for "no" with a weak reason; 1 point for "no" only.

Reteach if needed: Week 19, Week 24. Week 19 Days 1–3 (equal parts, fraction words, unit fractions), Week 19 Day 4 (fractions less than, equal to or greater than 1) and Week 24 Day 1 (equal parts of shapes).

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)
Answer: 7/8
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)
Answer: (a) 6/3 (b) 4/3
9.
Draw a number line from 0 to 1. Split it into fourths. Label each mark. Put a dot at 3/4.
(2 pts)
Answer: A line from 0 to 1 with 4 equal spaces labeled 0 (or 0/4), 1/4, 2/4, 3/4, 4/4 (or 1), and a dot at 3/4.
10.
Is 11/8 between 0 and 1 or between 1 and 2? Explain how you know.
(3 pts)
Answer: Between 1 and 2. Look for: 8/8 is at 1 and 16/8 is at 2; 11/8 is 3 jumps of 1/8 past 1.

Scoring: Item 1: 2 points. Item 2: 1 point for each part. Item 3: 1 point for 4 equal spaces labeled and 1 point for the dot at 3/4. Item 4: 1 point for "between 1 and 2" and up to 2 points for a reason that uses 8/8 = 1 or jumps of 1/8.

Reteach if needed: Week 20, Week 23. Week 20 Days 1–2 (fractions from 0 to 1 on a number line), Week 20 Day 3 (fractions greater than 1) and Week 23 Day 1 (number line review).

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)
Answer: (a) 6 (b) 1
12.
(a) Write 5 as a fraction with a denominator of 1. (b) Write 3 as a fraction in halves.
(2 pts)
Answer: (a) 5/1 (b) 6/2
13.
Write <, > or =. (a) 3/8 ( ) 5/8 (b) 3/4 ( ) 3/6
(2 pts)
Answer: (a) < (b) >
14.
Write <, > or =. (a) 4/6 ( ) 2/3 (b) 2/8 ( ) 2/6
(2 pts)
Answer: (a) = (b) <
15.
Order these fractions from least to greatest: 2/3, 2/8, 2/4
(2 pts)
Answer: 2/8, 2/4, 2/3
16.
Are 2/4 and 3/6 equivalent? Draw a model or a number line to show how you know.
(3 pts)
Answer: Yes. Look for: two same-size wholes, one cut into 4 and one cut into 6, with the shaded parts the same size (both are 1/2), or both fractions at the same point on number lines.
17.
Ella says 1/6 is greater than 1/4 because 6 is greater than 4. Is she right? Explain.
(3 pts)
Answer: No. 1/6 < 1/4. Look for: when the whole is cut into more equal parts, each part is smaller; sixths are smaller than fourths of the same whole.

Scoring: Items 1–4: 1 point for each part. Item 5: 2 points for the right order; 1 point if two fractions are swapped. Item 6: 1 point for "yes" and up to 2 points for a correct model on same-size wholes. Item 7: 1 point for "no" and up to 2 points for the "more parts means smaller parts" reason.

Reteach if needed: Week 21, Week 22, Week 23. Week 21 Days 1–3 (equivalent fractions with strips, area models and number lines), Week 21 Day 4 (whole numbers as fractions), Week 22 Days 1–4 (comparing with the same denominator or the same numerator) and Week 23 Day 2 (review).

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)
Answer: 4 3/4 inches
19.
Use your ruler. Draw a line that is 2 3/4 inches long.
(2 pts)
Answer: A line that starts at 0 and ends at the third quarter-inch mark after 2 (check with a ruler; allow a very small drawing wobble).
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)
Answer: (a) A line marked 1 1/4, 1 1/2, 1 3/4, 2 with Xs: 1 1/4 (2), 1 1/2 (3), 1 3/4 (1), 2 (2). (b) 1 1/2 inches (c) 3

Scoring: Item 1: 2 points. Item 2: 2 points for a line within a very small wobble of 2 3/4 inches; 1 point if it ends at 2 1/2 or 3 inches. Item 3: 2 points for a correct line plot (1 point if one X is missing or misplaced), 1 point for 1 1/2 inches and 1 point for 3.

Reteach if needed: Week 24. Week 24 Day 3 (measuring to the nearest half inch), Week 24 Day 4 (measuring to the nearest quarter inch and recording data) and Week 24 Day 5 (making and reading a line plot).

Score box

Part	Points earned	Possible
1. Naming Fractions		13
2. Fractions on a Number Line		9
3. Equivalent & Comparing Fractions		16
4. Measuring & Line Plots		8
Total		46

Level: Enter points to see the level.

D · Developing: 0–22
A · Approaching: 23–32
P · Proficient: 33–41
E · Exceeding: 42–46