Today's Learning Goal:
Build fluency in writing explicit and recursive equations for arithmetic and geometric sequences.
Determine if a sequence is geometric, arithmetic, or neither, based on the difference or ratio between terms.
Today's Materials:
Laptop
Pencil
Guided Note Sheet
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Write a list of numbers that is an example of an arithmetic sequence.
Write a list of numbers that is an example of a geometric sequence.
With your partner(s), you will complete a card sort activity. Record your matches in formative.
Take notes as needed and record any information you may find important for your learning and future practice.
What are the next three terms of the sequence below?
(Seperate the terms by commas)
If the sequence is not arithmetic or geometric, type "none".
How do you differentiate between a sequence being arithmetic, geometric, or neither?
Card 1 Matches:
Card 2 Matches:
Card 3 Matches:
Card 4 Matches:
Card 5 Matches:
Sort each sequence into the correct group. (Arithmetic, Geometric, neither)
Arithmetic Sequences
Geometric Sequences
Neither
(Not an arithmetic or geometric sequence)
What is the ratio of this geometric sequence?
What are the next three terms in this geometric sequence?
Rachel’s grandmother gave her $40 for her birthday. She decided to put it in her piggy bank and to save an additional $5 each week from mowing lawns. Model the sequence that shows the amount of money that Rachel has saved on any given week.
Write the recursive equation that represents this situation.
Rachel’s grandmother gave her $40 for her birthday. She decided to put it in her piggy bank and to save an additional $5 each week from mowing lawns. Model the sequence that shows the amount of money that Rachel has saved on any given week.
Write the explicit equation that represents this situation.
