Education Technology


Arithmetic Sequences & Series

Activity Overview

Students use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line.

Objectives

  • Students will explore sine, cosine, and tangent with respect to the ratios of the sides of right triangles.
  • Students will use the TI-Nspire CX II to discover the relationship of these three trig functions.
  • Students will solve any right triangle given an angle and the lengths of the opposite side, adjacent side or the hypotenuse.
  • Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments.

Vocabulary

  • SOHCAHTOA
  • sine, cosine, tangent
  • adjacent
  • opposite

About the Lesson

Students will explore sine, cosine, and tangent with respect to the ratios of the sides of right triangles.