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(U1) Lesson 4 - Scott's Workout

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Last updated about 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:
  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

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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)
  1. Table (Numerical)
  2. Graph (Graphical)
  3. Explicit Equation
  4. 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?

(Arithmetic, Geometric, or neither)

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.
Question 5
5.
4, 2.5, 1, -0.5, -2,_______ , _______ , _______
Question 6
6.
Common difference = _______
Question 7
7.

Recursive equation

Question 8
8.

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.
Question 9
9.
3, 7, 11,15, 19, _______ , _______ , _______
Question 10
10.
Common difference = _______
Question 11
11.

Recursive equation

Question 12
12.

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.
Question 13
13.
11, 8, 5, 2, -1, _______ , _______ , _______
Question 14
14.
Common difference = _______
Question 15
15.

Recursive equation

Question 16
16.

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.
Question 17
17.
72, 60, 48, 36, 24, _______ , _______ , _______
Question 18
18.
Common difference = _______
Question 19
19.

Recursive equation

Question 20
20.

Explicit Equation