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Fractions on a Number Line | Grade 3

📘 Student Concept Worksheet Answers
1
1/4
4 equal parts (denominator = 4), dot is 1 space from 0 (numerator = 1)
2
4/6
6 equal parts (denominator = 6), dot is 4 spaces from 0 (numerator = 4)
3
2/3
3 equal parts (denominator = 3), dot is 2 spaces from 0 (numerator = 2)
📝 Practice Worksheet Answers

Part A: Identify the Fraction

# Equal Parts Spaces from 0 Answer
1433/4
2211/2
3522/5
4855/8
5311/3

Part B: Plot the Fraction

# Fraction Correct Position
62/42nd tick mark from 0 (middle of the line)
74/64th tick mark from 0
81/31st tick mark from 0
97/87th tick mark from 0
103/53rd tick mark from 0

Challenge Question #11:

Maria is NOT correct.

1/4 is actually smaller than 1/2. When you divide something into more pieces (bigger denominator), each piece gets smaller. On a number line, 1/4 is closer to 0 than 1/2. If you share a pizza with 4 people, you get less than if you share with only 2 people.

📋 FAST Practice Quiz Answers
1
B) 1/4
Number line has 4 equal parts. Point P is at the 1st tick mark = 1/4
2
C) 4/6
Number line has 6 equal parts. Point M is at the 4th tick mark = 4/6
3
B
Looking for 2/3: need a number line with 3 parts, dot at 2nd mark.
• A: 3 parts, dot at 1st mark = 1/3
• B: 3 parts, dot at 2nd mark = 2/3
• C: 4 parts, dot at 2nd mark = 2/4
• D: 4 parts, dot at 3rd mark = 3/4
4
Select: 3/4, 2/6, and 1/2
• 3/4: 4 parts, dot at 3rd mark = 3/4 ✓ Correct
• 2/6: 6 parts, dot at 2nd mark = 2/6 ✓ Correct
• 1/2: 2 parts, dot at middle = 1/2 ✓ Correct
• 5/8: 8 parts, dot at 3rd mark = 3/8 (NOT 5/8) ✗ Incorrect
5
A) Point A represents 2/8 and Point B represents 6/8
Number line has 8 equal parts. Point A is at 2nd mark (2/8). Point B is at 6th mark (6/8).
6
A) 1/5 + 1/5 + 1/5
3/5 means 3 copies of 1/5. Per FL B.E.S.T. standard MA.3.FR.1.2: "fractions in the form m/n as the result of adding the unit fraction 1/n to itself m times."
📊 FAST Quiz Scoring Guide
Score Interpretation Recommended Action
6/6 Mastery Ready for IXL practice. Consider extension to fractions > 1.
4-5/6 Approaching Mastery Review missed concepts, then IXL practice.
2-3/6 Developing Reteach with manipulatives. Focus on counting spaces vs. lines.
0-1/6 Needs Intervention Small group instruction with concrete manipulatives (paper strips, fraction tiles).