This mini unit consists of 5 individual lessons. The lessons contain discussion questions, bell ringer exercises, exit slips, and ideas for differentiation. An answer key is also included for each class activity or assignment.
In Lesson #1 (Introduction to Arithmetic Sequences), students will review arithmetic sequences. They will generate arithmetic sequences, write explicit formulas for them, and use the explicit formula to identify an unknown nth term. Also, they will complete an activity that demonstrates how arithmetic sequences appear in the real world (Building Bridges).
In Lesson #2 (Arithmetic Mean and Arithmetic Sequences), students will learn how to use the arithmetic mean to find a missing term in an arithmetic sequence. Also, they will be given time to complete a graded assignment on arithmetic sequences.
In Lesson #3 (Introduction to Arithmetic Series), students will learn how to evaluate a series for a given sequence. They will also complete an investigation about finding the sum of an arithmetic series (Gauss Investigation). Finally, they will receive a graded assignment on arithmetic series.
In Lesson #4 (Introduction to Summation Notation), students will complete an investigation that demonstrates how summation notation can be used to express the sum of the terms in a sequence. They will also be asked to write a given series in summation notation.
In Lesson #5 (Using Summation Notation with Arithmetic Series), students will apply their knowledge of summation notation to arithmetic series. They will create arithmetic series and write a partner’s arithmetic series in summation notation. Finally, they will receive a graded assignment on summation notation and arithmetic series.