Recipe Remix

11. Convert \(0.\bar{4}\) Multiply by 10

Let \(x = 0.\bar{4}\)

Fraction: ________

12. Convert \(0.\overline{18}\) Multiply by 100

Let \(x = 0.\overline{18}\)

Fraction: ________

13. Convert \(0.\bar{6}\) Multiply by 10

Let \(x = 0.\bar{6}\)

Fraction: ________

14. Challenge: Convert \(0.1\bar{6}\) Mixed repeater

Let \(x = 0.1\bar{6}\) • Find \(100x\) and \(10x\):

Fraction: ________

4 Quality Control: Chef Error Analysis

Diagnose and fix mathematical misconceptions

Case A: Chef Leo's Measurement

Leo says: "The scale reads \(0.\bar{3}\) lb, which has a 3 in the tenths place, so I need \(\frac{3}{10}\) lb of yeast."

Explain the error and provide correct fraction: Correct Fraction: _____

Case B: Chef Maya's Bar Notation

Maya converts \(\frac{1}{6} = 0.1666...\) and writes the answer as \(0.\overline{16}\).

Explain why her bar notation is incorrect: Correct Notation: _____

Conversion Skills Lab • Rational Number Mastery Page 2 of 2

4. Spec Card & Justification: _____ / 25 pts

Final Grade & Percentage: _____ / 100

Evaluator Feedback

Commendations and precision improvements:

Evaluator Signature: __________________ Date: ________

Recipe Remix Assessment • Performance Standards Turn page for Mastery Check & Teacher Solution Guide • Page 1 of 2

Formative / Summative Exit Check

Culinary Conversion Mastery Check

Quick 6-Question Skill Assessment & Complete Solution Reference Key

Score:   / 12

Part A: Independent Student Assessment (2 pts each)

1. Convert \(0.64\) to a fraction in simplest form.

Work: Answer: ________

2. Convert \(\frac{7}{16}\) to a decimal via long division.

Work: Decimal: ________

3. Convert \(0.\bar{5}\) to an exact fraction algebraically.

Equation: Fraction: ________

4. Convert \(\frac{4}{9}\) to a decimal with bar notation.

Classification: [ ] Term [ ] Rep Decimal: ________

5. Convert \(0.\overline{72}\) to a fraction in simplest form.

Equation: Fraction: ________

6. Which fraction produces a terminating decimal?

(A) \(\frac{2}{7}\) (B) \(\frac{5}{12}\) (C) \(\frac{9}{40}\) (D) \(\frac{7}{15}\)

Part B: Teacher Answer Key & Project Benchmarks

Mastery Check Solutions:

• 1. \(0.64 = \frac{64}{100} = \mathbf{\frac{16}{25}}\)
• 2. \(7 \div 16 = \mathbf{0.4375}\) (Terminating)
• 3. \(10x - x = 5.555... - 0.555... \Rightarrow 9x = 5 \Rightarrow \mathbf{\frac{5}{9}}\)
• 4. \(4 \div 9 = 0.444... = \mathbf{0.\bar{4}}\) (Repeating)
• 5. \(100x - x = 72 \Rightarrow 99x = 72 \Rightarrow \frac{72}{99} = \mathbf{\frac{8}{11}}\)
• 6. (C) \(\mathbf{\frac{9}{40}}\) (Denominator prime factors are only 2 and 5; \(9/40 = 0.225\))

Project Guide Reference Key:

• Phase 1: Cane Sugar \(0.65 = \frac{65}{100} = \mathbf{\frac{13}{20}}\) cup
• Phase 1: Almond Flour \(1.875 = 1\frac{875}{1000} = \mathbf{1\frac{7}{8}}\) cups
• Phase 1: Sea Salt \(0.08 = \frac{8}{100} = \mathbf{\frac{2}{25}}\) tsp
• Phase 2: Agave \(0.\bar{7} \Rightarrow 9x = 7 \Rightarrow \mathbf{\frac{7}{9}}\) cup
• Phase 2: Cinnamon \(0.\overline{45} \Rightarrow 99x = 45 \Rightarrow \mathbf{\frac{5}{11}}\) oz
• Phase 3: \(\frac{3}{16} = \mathbf{0.1875}\) (Term), \(\frac{4}{11} = \mathbf{0.\overline{36}}\) (Rep), \(\frac{7}{8} = \mathbf{0.875}\) (Term)

Recipe Remix Assessment • Teacher Evaluation & Solutions Page 2 of 2

Project Action Plan

Recipe Remix Deliverables

1. Digital Scale Calibration

Convert 4 scale decimals to simplified kitchen fractions.

2. Repeating Decimal Proofs

Provide algebraic elimination steps for sensor readings.

3. Signature Recipe Specs

Perform long division on 4 recipe fractions with bar notation.

4. Final Menu Display Card

Dual-unit showcase card plus precision quality justification.

Ready to engineer precision culinary math? Let's get cooking!