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Diploma in Higher Education Studies

Using formulae

HES 102 · Mathematics for University Study — Week 9 of 16

CourseHES 102
Week9 of 16
SemesterI
TutorOnline in the course chat

This week’s topics

Using formulae

  1. Substituting numbers into a formula
  2. Order of operations
  3. The break-even formula

What you will be able to do

  • 2.1 Substitute values into simple formulae (e.g. break-even).

Activity

Use the break-even formula for a school bake sale.

Study materials

Further resources

  • Contemporary Mathematics, 3.3: Order of Operations · PDF · OpenStax Contemporary Mathematics (2023), 3.3: the order of operations, pp. 158–164 · for registered students
  • College Algebra 2e, 2.3: Models and Applications · PDF · OpenStax College Algebra 2e (2021), 2.3: substituting into formulae to solve real problems, pp. 112–121 · for registered students
  • Principles of Managerial Accounting, 3.2: Break-Even Point · PDF · OpenStax Principles of Accounting, Vol. 2: Managerial Accounting (2019), 3.2: the break-even formula in units and in money (a step up), pp. 124–134 · for registered students
  • Perceiving precedence: order of operations errors are predicted by perception of equivale… · Open-access article · Bye et al. (2024), Journal of Numerical Cognition. Why students make order-of-operations errors when using formulae. · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Fractions, decimals and percentages
  • Week 2: Calculating with percentages
  • Week 3: Percentage increase and decrease
  • Week 4: Percentages in business: profit, mark-up and VAT
  • Week 5: Binary numbers
  • Week 6: Hexadecimal numbers
  • Week 7: Adding binary numbers
  • Midterm: Midterm evaluation
  • Week 9: Using formulae
  • Week 10: Solving equations and rearranging formulae
  • Week 11: Logic gates and truth tables
  • Week 12: Averages and range
  • Week 13: Reading charts and tables
  • Week 14: Solving problems step by step with flowcharts
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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