Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 01 » Set 01 ILO 02 » Get Ready

Outcomes

In this lesson you will

• explore graphs of arithmetic, quadratic, and higher degree power sequences
• use common differences to distinguish between arithmetic and power sequences
• use , the -level common difference, to determine the degree of a power sequence
• explore the relationship between , the second-level common difference, and the coefficient a in the function used to generate a quadratic sequence

By the end of this section students will be able to:

• demonstrate an understanding of patterns that are arithmetic, power, and geometric, and relate then to corresponding functions
• analyze tables and graphs to distinguish between linear, quadratic, and exponential relationships
• sketch graphs from descriptions, tables, and collected data
• determine the equation of a quadratic function using finite differences

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• use technology to graph linear and non-linear functions and to find the equation of the curve of best fit