Introduce function notation for writing recursive equations.
Solidify understanding of examining change between terms in a diagram, a table, a graph, an explicit equation, and a recursive equation.
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.
Jump Start - 5 minute
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Scott's Workout
Scott has decided to add push-ups to his daily exercise routine. He is keeping track of the number of push-ups he completes each day in the given bar graph, with day 1 showing he completed 3 push-ups. After four days, Scott is certain he can continue this pattern of increasing the number of push-ups he completes each day.
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Guided Notes:
Lets do some guided notes on the provided paper.
Start with the table and graph, complete right now. (in pencil in case you need to make a change later)
Table (Numerical)
Graph (Graphical)
Explicit Equation
Recursive Equation (Function Notation)
Lets try together...
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Lesson 4 Closure!
Lets debrief together.
Question 1
1.
How are arithmetic sequences different from geometric sequences?
Question 2
2.
How many push-ups will Scott do on day 5?
Annotate the diagram to show how you see the pattern of blocks growing.
Question 3
3.
How many push-ups will Scott do on day 10?
Show your work to figure this out.
Question 4
4.
What type of sequence is your model for the number of push-ups that Scott did? How do you know?