1. Arithmetic Sequences and Series
Chapter Dr. Guram
Algebra II /25/16

2. Focus Questions
How do we determine whether a given sequence is arithmetic?
How do we find the common difference of an arithmetic sequence?
How do we write an expression for an arithmetic sequence and calculate the nth term?

3. Curriculum standards
HSF-BF.A.1
- Write a function that describes a relationship between two quantities.
TN (Associated Tennessee Learning Expectations)
Use the formulas for the general term and summation of finite arithmetic … series.
Sources:
Spring Board Algebra 2 Textbook

4. Real World Examples Utilizing Arithmetic Series
What are examples of ways people use arithmetic series in real world situations?
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5. Real World Example of Arithmetic Series
Thermostat: A room is 60 degrees and you feel cold. You increase it by 2 degrees to 62 degrees. You still feel cold, and increase it by 2 degrees, etc.
Plant: You bought a plant at the store. It is currently 3 inches and grows 2 inches every month. How many inches will it be in 6 months?

6. Academic language
Arithmetic Sequence: A sequence in which the difference of consecutive terms is constant.
Common Difference: The constant difference of consecutive terms of an arithmetic sequence.
Arithmetic Series: The expression formed by adding the terms of an arithmetic sequence.

7. Arithmetic Sequence Example 1

8. Arithmetic Sequence Example 1

9. Guided Practice Example

10. Arithmetic Sequence Key Concept

11. Example 2: Nth term

12. Example 2: Nth term

13. Arithmetic Sequence Example 3

14. Example 3 Answer

15. Example 3 Answer

16. Write a rule given two terms

17. Write a rule given two terms

18. Sum of a Finite Arithmetic Series

19. Standardized Test Practice

20. Standardized Test Practice

21. Arithmetic Sequence and Series in Real Life

22. Arithmetic Sequence and Series in Real Life

23. Review How do we determine whether a given sequence is arithmetic?
How do we find the common difference of an arithmetic sequence?
How do we write an expression for an arithmetic sequence and calculate the nth term?

24. Review of terms Explain the mathematical term: Arithmetic Sequence.
Explain Arithmetic Series.
Give a real world example of Arithmetic Sequence/Series.

25. Class and HW Problems
12.2 Worksheet