Fraction Match Exit Ticket
Fraction Match Exit Ticket
4th Grade Math • Standard 4.NF.A.1 (Equivalent Fractions)
Target Time: 5–8 Min
Name:
Date:
Score: ___ / 4
Directions: Show your work for each problem using fraction models, numbers, or clear written explanations. 1 point each
1
Visual Fraction Models
Model Reasoning
Model A represents \(\frac{2}{3}\). Model B is the same size but divided into sixths.
Model A:
1/3
1/3
1/3
Model B:
a. Shade Model B to show an equivalent fraction.
b. Complete equation: \(\frac{2}{3} =\)
6
2
Missing Numerator & Denominator
Equivalence Rule
Write the missing number in the box. Then write the multiplication or division rule you used.
Part A:
\(\frac{3}{4}\) =
12
Multiplier rule:
Part B:
\(\frac{4}{10}\) =
2
Divisor rule:
3
Error Detective
Explain & Critique
Marcus claims: "\(\frac{1}{3}\) and \(\frac{2}{4}\) are equivalent because I added 1 to the numerator and 1 to the denominator (\(1+1=2\) and \(3+1=4\))."
Is Marcus correct? Yes No
Explain his mistake. What rule must be used to find equivalent fractions?
4
Story Problem
Real-World Application
Maya and Caleb bake identical personal pizzas. Maya cuts hers into 4 equal slices and eats 3 slices (\(\frac{3}{4}\)). Caleb cuts his into 8 equal slices. How many slices must Caleb eat to have eaten the exact same amount as Maya?
Show your work (draw a model or write an equation):
Final Answer:
Caleb eats slices.
Self-Check: Did you show your work on all 4 questions?
Need Help Getting There Got It!
Teacher Answer Key & Guide
Master Copy
Fraction Match Exit Ticket • Standard CCSS.MATH.CONTENT.4.NF.A.1
Total: 4 Points
Question 1 \(\frac{4}{6}\) (4 parts) 1 Point
Question 2 A: 9 • B: 5 1 Point (0.5 each)
Question 3 "No" + Multiply Rule 1 Point
Question 4 6 Slices (\(\frac{6}{8}\)) 1 Point
1
Question 1: Visual Fraction Model Reasoning
1 pt
Correct Answer & Student Work:
• Model B shading: Exactly 4 out of the 6 sections must be shaded.
• Equation: Numerator is 4, making the equation \(\frac{2}{3} = \frac{4}{6}\).
Common Misconceptions:
Shading 2 parts of Model B (matching count rather than size). Fix: Show each \(\frac{1}{3}\) bar divides into two \(\frac{1}{6}\) parts.
2
Question 2: Missing Numerator & Denominator
1 pt (0.5 each)
Correct Solutions:
• Part A: Box is 9. Rule: Multiply numerator and denominator by 3 (\(\frac{3 \times 3}{4 \times 3} = \frac{9}{12}\)).
• Part B: Box is 5. Rule: Divide numerator and denominator by 2 (\(\frac{4 \div 2}{10 \div 2} = \frac{2}{5}\)).
Common Misconceptions:
Using addition/subtraction (e.g. \(4+8=12\), so \(3+8=11\)). Fix: Equivalence requires multiplying or dividing by a fraction equal to 1.
3
Question 3: Error Analysis & Misconception
1 pt
Exemplary Student Response:
• Choice: Checks "No" (0.25 pt).
• Explanation: Marcus is incorrect because you cannot add to find equivalent fractions. You must multiply or divide the top and bottom by the same number (e.g., \(\frac{1 \times 2}{3 \times 2} = \frac{2}{6}\)). \(\frac{2}{4}\) equals \(\frac{1}{2}\), which is larger than \(\frac{1}{3}\). (0.75 pt)
Remediation Prompt:
Have the student sketch \(\frac{1}{3}\) and \(\frac{2}{4}\) (half). Ask: "Does adding 1 to both keep the total value the same?"
4
Question 4: Real-World Word Problem
1 pt
Solution & Mathematical Steps:
• Answer: Caleb must eat 6 slices.
• Work: \(\frac{3}{4} = \frac{?}{8}\). Since \(4 \times 2 = 8\), multiply numerator by 2: \(3 \times 2 = 6\). Caleb eats \(\frac{6}{8}\) of the pizza, which is 6 slices. (Visual pizza drawings showing 6 of 8 slices receive full credit).
Common Error:
Answering "3 slices" assuming equal slices regardless of cut, or writing "\(\frac{6}{8}\)" without stating 6 slices.
Quick Mastery Rubric (CCSS 4.NF.A.1) Next Steps by Performance Level
4 / 4: Mastered
Ready for fraction comparison with unlike denominators (4.NF.A.2) and simplifying.
3 / 4: Proficient
Minor computational or explanation slip. 2-minute partner error check.
2 / 4: Developing
Additive misconception or rule confusion. Small-group fraction strip modeling.
0–1 / 4: Intervention
Lacks equal parts concept. Targeted reteaching with concrete manipulatives.
