Aug 20 (Integrity Quiz Issues & Fraction Mastery: Quick Review) Part 2

Academic Integrity Quiz Issue

  • A new Canvas Academic Integrity tool requires typing your name to acknowledge you read and agree with the terms.
  • Some students reported their name being marked incorrect when submitting the quiz; issues vary and messages may not have gone through due to system changes.
  • The instructor notes the tool is brand new and changes were made this year; not everyone is familiar with it yet; investigation and follow-up recommended.
  • Students should check email and Canvas messages; continue with the lesson while issues are resolved.

Quick Fraction Review

  • Converting whole numbers to fractions:
    • When adding/subtracting with fractions, convert whole numbers to fractions with a common denominator.
  • Example: 1−37=77−37=471 - \frac{3}{7} = \frac{7}{7} - \frac{3}{7} = \frac{4}{7}
  • Three-term addition/subtraction with denominators 3, 8, 6; find a common denominator (LCM): 24
    • Convert: 23=1624,18=324,16=424\frac{2}{3} = \frac{16}{24}, \quad \frac{1}{8} = \frac{3}{24}, \quad \frac{1}{6} = \frac{4}{24}
    • Combine: 1624+324−424=1524=58\frac{16}{24} + \frac{3}{24} - \frac{4}{24} = \frac{15}{24} = \frac{5}{8}
  • Word problems: strategies and quick results
    • Fraction not receiving an A in a class of 100: 100−79100=21100\frac{100-79}{100} = \frac{21}{100}
    • Product problem: if 1219×X=10\frac{12}{19} \times X = 10, then X=101219=956X = \frac{10}{\frac{12}{19}} = \frac{95}{6}
    • Division by a fraction: Keep Change Flip (multiply by the reciprocal)
    • Example: 10÷1219=10×1912=19012=95610 \div \frac{12}{19} = 10 \times \frac{19}{12} = \frac{190}{12} = \frac{95}{6}
    • In algebra, you may leave an improper fraction if it cannot be reduced further (e.g., 956\frac{95}{6}).
    • Additional example: 521.25=5254=2085\frac{52}{1.25} = \frac{52}{\frac{5}{4}} = \frac{208}{5}
    • Example: 70÷1419=9570 \div \frac{14}{19} = 95 (via reciprocal; final value can be an integer)
    • Problem 5 worked example final result: 920\frac{9}{20}

Practice Problems: Quick Solutions

  • Problem 1 (multiplication with cancellation): Cancel common factors first, then multiply remaining numerators/denominators. Final answer: 35643564.
  • Problem 2: After simplifying, final result: 643\frac{64}{3}.
  • Problem 3: Find common denominator and combine; final result: 920\frac{9}{20}.

Class Participation Tips

  • Attending class and participating helps verify understanding; videos alone may miss gaps.
  • If you cannot attend, try to engage asynchronously and use available Q&A; still, live interaction is valuable.
  • Ask questions; the instructor will respond and gauge what you know.
  • Access assignments and homework through Canvas/Hawks; extra bonus lessons available for extra points.

Next Steps

  • Continue with Hawks homework for Lesson One R2 and R3; review lesson 1.6 on Friday.
  • If you encounter quiz integrity issues, check email/Canvas and follow up with the instructor for clarification.