Fraction Problem Solver Practice Worksheet
TEKS 5.3(K) • Rational Numbers Exemplars Performance Task 1
The Great Trail Mix Challenge
Score: / 4
Name:
Date:
Class/Period:
Problem Scenario: Expedition Nutrition
Marcus and Sofia are packaging trail mix batches for a 5th-grade nature trek. They open three bulk containers with the following amounts of ingredients:
Dried Cranberries
\( 2\frac{3}{4} \) cups
Roasted Almonds
\( 1\frac{2}{3} \) cups
Sunflower Seeds
\( \frac{5}{6} \) cup
Part A: Analyzing the Nut & Fruit Blend
Exemplars Focus: Strategy & Model
Marcus pours all the cranberries and almonds into a large bowl. Sofia claims: "We already have more than \( 4\frac{1}{2} \) cups of ingredients in the bowl!" Marcus disagrees and claims they have less. Who is correct? Find the exact combined amount.
Visual Representation (Bar Model / Number Line)
Equivalent Fractions & Algorithm
Claim Decision: Who is correct? Exact Combined Sum:
Part B: Multi-Step Addition & Subtraction
Next, Marcus pours all \( \frac{5}{6} \) cup of sunflower seeds into the bowl. While stirring, exactly \( \frac{7}{12} \) cup accidentally spills onto the clean prep tray and is discarded. How many total cups of trail mix remain in the bowl?
Show all steps: Addition of seeds and subtraction of spilled amount
Final Trail Mix Total: (in simplest mixed number form)
Page 1 of 2 • Continue to Task 2 on Next Page
TEKS 5.3(K) • Rational Numbers
Student Name:
Task 2: The School Garden Rainwater Cistern
Exemplars Performance Task 2
Problem Scenario: Weekly Water Audit
The ecology club manages a rainwater collection cistern to irrigate the community vegetable garden.
Monday Start \( 8\frac{1}{2} \) gal
Tuesday Used \( -3\frac{3}{5} \) gal
Wednesday Rain \( +2\frac{1}{4} \) gal
Thursday Need \( 7\frac{1}{10} \) gal
Part A: Calculate Water Volume at End of Wednesday
Calculate the exact total volume of water stored in the cistern at the end of the day on Wednesday after Tuesday's watering and Wednesday's rainfall. Show your equivalent fraction work with common denominators.
Computation Area (Rename fractions with a common denominator): Common Denominator: ________
End of Wednesday Volume: gallons
Part B: Decision Making & Comparison
The club president, Elena, claims: "We have plenty of water to supply Thursday's heatwave requirement of \( 7\frac{1}{10} \) gallons without drawing from the city tap!" Is Elena correct? By exactly how much water will they exceed or fall short of the goal?
Comparison & Difference Work:
Final Verification Statement:
Elena is (correct / incorrect).
Exact difference between cistern amount and Thursday need:
Exemplars Problem-Solving Assessment Rubric Self-Evaluation & Teacher Scoring
| Dimension | Novice (1) | Apprentice (2) | Practitioner (3) | Expert (4) |
|---|
| Problem Solving | Misunderstands fraction operations | Solves 1 part with minor errors | Solves all parts with clear strategy | Extends strategy & checks reasonableness |
| Representation | No model or inappropriate | Incomplete fraction model | Accurate bar model or number line | Model clearly connects to algorithm |
| Reasoning & Accuracy | Adds/subtracts denominators | Finds LCD but calculation error | Accurate LCD, sums, and differences | Completely fluent, simplified results |
Page 2 of 2 • Math TEKS 5.3(K) Performance Standard
