Wholesale vendors supply ingredients in fraction packages, but your accounting software requires exact decimal values. Use long division (\(\text{numerator} \div \text{denominator}\)) to convert each fraction to a decimal. Identify whether it terminates or repeats.
| Wholesale Unit Fraction | Long Division Work / Setup | Exact Decimal Value | Terminating or Repeating? |
|---|---|---|---|
| \(\frac{3}{8}\) lb artisan butter | \(3 \div 8 =\) | □ Terminating □ Repeating | |
| \(\frac{5}{6}\) gallon cooking oil | \(5 \div 6 =\) | □ Terminating □ Repeating | |
| \(\frac{7}{16}\) sack specialty flour | \(7 \div 16 =\) | □ Terminating □ Repeating | |
| \(\frac{4}{15}\) crate organic citrus | \(4 \div 15 =\) | □ Terminating □ Repeating |
Calculate the exact decimal cost to make one single serving of your signature dish, set your retail menu price, and project daily festival profits.
A. Single Portion Ingredient Cost:
A 4-serving base batch costs exactly $10.60 in total ingredients. Calculate cost per single serving:
Cost Per Serving: $ ___________
B. Retail Price Strategy (Decimal Division):
To achieve a target 25% food cost ratio (\(0.25\)), divide cost per serving by \(0.25\):
Target Menu Price: $ ___________
C. Festival Profit Projection:
If you sell 140 servings at a downtown food truck rally, and truck parking/permit fee is a flat $125.00, what is your net profit? [Formula: \(\text{Net Profit} = 140 \times (\text{Menu Price} - \text{Unit Cost}) - 125.00\)]
Total Rally Net Profit: $ ___________________
Food Truck Frenzy • Milestone 2: Financial Ledger Page 2 of 3
Grade 7 Math Venture • CCSS 7.NS.A.2c
Part 3: Temps & Pitch
Team / Presenters: ______________________________
Pitch Date: ___________________
Commercial health codes require continuous temperature monitoring. Solve these signed rational number rate problems.
Problem 5A: Sub-Zero Freezer Pull-Down
At morning prep, your onboard freezer is at \(24.6^\circ\text{F}\). It must reach a deep-freeze holding temperature of \(-5.4^\circ\text{F}\). The industrial compressor cools the unit at a constant rate of \(-1.5^\circ\text{F}\) every 4 minutes. How many total minutes will it take to reach \(-5.4^\circ\text{F}\)?
Total Temperature Change (\(\Delta T\)): __________ \(^\circ\text{F}\) Total Minutes: ____________ min
Problem 5B: Smoker Oven Heat Recovery Rate
When loading cold ribs into the smoker, the internal chamber temperature dropped \(45\frac{1}{2}^\circ\text{F}\) over a span of \(6\frac{1}{2}\) minutes. Calculate the average temperature change per minute as a simplified rational number.
Average Rate of Change: ____________ \(^\circ\text{F}\) per minute
Prepare your 4-minute presentation to convince the "Food Truck Angel Investors". Every team member must verbally explain at least one math calculation.
Slide 1: Brand Concept & Menu
Concept theme, logo, target crowd, signature dish.
Speaker: _______________________________
Slide 2: Fraction Recipe Scaling Proof
Show fraction multiplication for 30 servings & cross-canceling.
Speaker: _______________________________
Slide 3: Decimal Pricing & Profit Ledger
Present COGS, 25% food cost margin, and festival profit projection.
Speaker: _______________________________
Slide 4: Rational Temperatures & Safety
Explain signed rate calculations for freezer/smoker compliance.
Speaker: _______________________________
Investor Pitch Rehearsal Checklist:
□ Under 4-minute time limit
□ All calculations verified with units
□ Visual charts/slides legible from distance
□ Ready to explain why we invert & multiply fractions
Food Truck Frenzy • Milestone 3: Temperatures & Pitch Page 3 of 3
• Problem 5B (Smoker): Rate = \(-45\frac{1}{2} \div 6\frac{1}{2} = -\frac{91}{2} \div \frac{13}{2} = -\frac{91}{2} \times \frac{2}{13} = -\frac{91}{13} = \mathbf{-7^\circ\text{F}}\) per minute.
Common Student Misconceptions & Intervention Tips:
Food Truck Frenzy • Instructional Planning & Master Solutions Page 1 of 2
Assessment System & Support
100-Point Scale
Evaluates both the technical accuracy of the student blueprint packet and the clarity of the visual presentation.
| Criterion | Exemplary (Full Points) | Developing (Partial) | Score |
|---|---|---|---|
| Mathematical Accuracy (40 Points) | All fractions scaled accurately with improper fraction work; decimal conversions clearly labeled as repeating/terminating; temperature signs strictly accurate. | Minor computational error in 1-2 steps; improper fractions not simplified or missing negative signs on temperatures. | ____ / 40 |
| Mathematical Reasoning (25 Points) | Clearly articulates why division by fractions requires multiplying by reciprocals; demonstrates long division steps and rational number relationships. | Shows answers without demonstrating step-by-step methods; reasoning is vague or incomplete during presentation. | ____ / 25 |
| Real-World Application (20 Points) | Calculates accurate unit COGS, applies commercial 25% cost formula properly, and produces a realistic financial ledger with festival profit deduction. | Confuses unit cost with total batch cost; omits fixed permit fee in final profit determination. | ____ / 20 |
| Presentation & Pitch (15 Points) | Visual slides are clean and legible; all partners present mathematical content smoothly within the 4-minute limit; defends decisions in Q&A. | Unequal team member participation; presentation exceeds time limit; slides contain crowded or illegible text. | ____ / 15 |
Scaffolding & Support (Striving Learners):
Extensions (Advanced Students):
Teacher Evaluation & Presentation Pitch Feedback:
Food Truck Frenzy • Analytic Rubric & Scaffolding Pathways Page 2 of 2
