CEMC's Open Courseware - Lesson 5: Graphing Patterns

Introduction to Graphs

• Graphs can depict the relationship between two quantities.
• Important Questions:
  • What information does the graph convey?
  • Total cost of buying 1 song? 3 songs?
  • Predict the formula for the total cost of n songs.

Example: Cost of Songs Graph

• Graph Overview
  • Horizontal Axis: Number of Songs
  • Vertical Axis: Total Cost
  • Points: (1,3), (2,6), (3,9), (4,12)

Lesson Goals

• To use a graph to display a sequence of numbers.
• To predict sequence values using a graph.
• To find the general term of a sequence from a graph.

Practical Exercise: Candy-Grams Graph

• Graph Overview
  • Horizontal Axis: Number of Candy-Grams
  • Vertical Axis: Total Cost
  • Points: (1,4), (2,5), (3,6), (4,7)

Tasks

1. Predict the cost of purchasing 7 candy-grams.
2. Determine how many candy-grams can be purchased with $16.

Conclusion

• Understanding graphs is critical for visualizing and predicting data patterns and sequences.