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(U1) Lesson 4 - Scott's Workout

Last updated over 2 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:
  1. Laptop
  2. Pencil
  3. 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
0

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
0

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

Required
0

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

Show your work to figure this out.

Required
0

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)
  1. Table (Numerical)
  2. Graph (Graphical)
  3. Explicit Equation
  4. 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.
0
4, 2.5, 1, -0.5, -2,_______ , _______ , _______
0
Common difference = _______
0

Recursive equation

0

Explicit Equation

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
1
3, 7, 11,15, 19, _______ , _______ , _______
Required
1
Common difference = _______
Required
1

Recursive equation

Required
1

Explicit Equation

(Practice/Intervention)

Problem #1 (13-16)

Problem #2 (17-20)
Problem #1
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
1
11, 8, 5, 2, -1, _______ , _______ , _______
Required
1
Common difference = _______
Required
1

Recursive equation

Required
1

Explicit Equation

Problem #2
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
1
72, 60, 48, 36, 24, _______ , _______ , _______
Required
1
Common difference = _______
Required
1

Recursive equation

Required
1

Explicit Equation

Lesson 4 Closure!
Lets debrief together.