(U1) Lesson 4 - Scott's Workout

Last updated almost 3 years ago

20 questions

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)

(U1) Lesson 4 - Scott's Workout

Last updated almost 3 years ago

20 questions

Today's Learning Goal:
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

Required

How are arithmetic sequences different from geometric sequences?

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.

Required

How many push-ups will Scott do on day 5?
Annotate the diagram to show how you see the pattern of blocks growing.

Required

What type of sequence is your model for the number of push-ups that Scott did? How do you know?

(Arithmetic, Geometric, or neither)

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...

a. Find the next three terms in each sequence,
b. Identify the common difference,
c. Write a recursive function,
d. Write a explicit function,
for each sequence.

Hint: The first number is n=1,not n=0.

4, 2.5, 1, -0.5, -2,_______ , _______ , _______ 

Common difference = _______ 

Independently try this...

a. Find the next three terms in each sequence,
b. Identify the common difference,
c. Write a recursive function,
d. Write a explicit function,
for each sequence.

Hint: The first number is n=1,not n=0.

Required

(Practice/Intervention) 
Problem #1 (13-16)

Problem #2 (17-20)

Required

Lesson 4 Closure! 
Lets debrief together. 

(U1) Lesson 4 - Scott's Workout

Guided Notes:

(U1) Lesson 4 - Scott's Workout

Jump Start - 5 minute

How are arithmetic sequences different from geometric sequences?

Scott's Workout

How many push-ups will Scott do on day 5?
Annotate the diagram to show how you see the pattern of blocks growing.

What type of sequence is your model for the number of push-ups that Scott did? How do you know?

(Arithmetic, Geometric, or neither)

Guided Notes:

(Practice/Intervention)

Jump Start - 5 minute

How are arithmetic sequences different from geometric sequences?

Scott's Workout

How many push-ups will Scott do on day 5?
Annotate the diagram to show how you see the pattern of blocks growing.

How many push-ups will Scott do on day 10?

Show your work to figure this out.

What type of sequence is your model for the number of push-ups that Scott did? How do you know?

(Arithmetic, Geometric, or neither)

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

(Practice/Intervention)

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

How many push-ups will Scott do on day 10?

Show your work to figure this out.

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

(U1) Lesson 4 - Scott's Workout

Guided Notes:

(U1) Lesson 4 - Scott's Workout

Jump Start - 5 minute

How are arithmetic sequences different from geometric sequences?

Scott's Workout

How many push-ups will Scott do on day 5? Annotate the diagram to show how you see the pattern of blocks growing.

What type of sequence is your model for the number of push-ups that Scott did? How do you know? (Arithmetic, Geometric, or neither)

Guided Notes:

(Practice/Intervention)

Jump Start - 5 minute

How are arithmetic sequences different from geometric sequences?

Scott's Workout

How many push-ups will Scott do on day 5? Annotate the diagram to show how you see the pattern of blocks growing.

How many push-ups will Scott do on day 10? Show your work to figure this out.

What type of sequence is your model for the number of push-ups that Scott did? How do you know? (Arithmetic, Geometric, or neither)

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

(Practice/Intervention)

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

How many push-ups will Scott do on day 10? Show your work to figure this out.

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

Recursive equation

Explicit Equation

How many push-ups will Scott do on day 5?
Annotate the diagram to show how you see the pattern of blocks growing.

What type of sequence is your model for the number of push-ups that Scott did? How do you know?

(Arithmetic, Geometric, or neither)

How many push-ups will Scott do on day 5?
Annotate the diagram to show how you see the pattern of blocks growing.

How many push-ups will Scott do on day 10?

Show your work to figure this out.

What type of sequence is your model for the number of push-ups that Scott did? How do you know?

(Arithmetic, Geometric, or neither)

How many push-ups will Scott do on day 10?

Show your work to figure this out.