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Diploma in Higher Education Studies

Using graphs to solve problems

HES 212 · Further Mathematics for University Study — Week 4 of 16

CourseHES 212
Week4 of 16
SemesterII
TutorOnline in the course chat

This week’s topics

Using graphs to solve problems

  1. Reading values from a graph
  2. Real-life graphs (costs, speed)

What you will be able to do

  • 1.1 Plot simple linear and quadratic functions.
  • 1.2 Interpret the gradient and intercept of a graph.

Activity

Use a cost graph to answer business questions.

Study materials

Further resources

  • College Algebra 2e, 4.2: Modeling with Linear Functions · PDF · OpenStax College Algebra 2e (2021), 4.2: reading and using real-life linear graphs such as costs, pp. 351–364 · for registered students
  • College Algebra 2e, 3.3: Rates of Change and Behavior of Graphs · PDF · OpenStax College Algebra 2e (2021), 3.3: reading values and rates of change from graphs, pp. 216–232 · for registered students
  • Contemporary Mathematics, 5.8: Graphing Functions · PDF · OpenStax Contemporary Mathematics (2023), 5.8: using graphs to solve problems, pp. 446–472 · 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: Coordinates and straight-line graphs
  • Week 2: Gradient and y-intercept (y = mx + c)
  • Week 3: Plotting quadratic graphs
  • Week 4: Using graphs to solve problems
  • Week 5: Number sequences and the nth term
  • Week 6: Geometric sequences
  • Week 7: Sequences and how fast programs grow
  • Midterm: Midterm evaluation
  • Week 9: Probability basics
  • Week 10: Probability of two events
  • Week 11: Statistics for a dataset
  • Week 12: From a problem to pseudocode
  • Week 13: Checking a solution with test data
  • Week 14: Maths problem-solving project
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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