Download Chapter 2.3-2.4 - ShepaugGeometryHonors

Chapter 2.3-2.4
“If you do something once, people call it an
accident. If you do it twice, they call it a
coincidence. But do it a third time and
you’ve just proven a natural law.”
Grace Murray Hopper
Objectives
• Generalize basic number patterns to a method
for finding the nth term in a linear number
sequence.
• Apply inductive reasoning to find patterns.
• Apply mathematical models to problem
solving.
Example
Find the next term in the sequence 20, 27, 34,
41, 48, 55,…….
How did you find it?
What is the 200th term in this sequence?
How do we find this?
Function Rule
To find the 200th term of any sequence, we
would need to have a rule that would generate
that term, or any term we needed.
The rule that gives the nth term for a sequence
is called the function rule.
Investigation
Finding the Rule
Pg 106
Example
Find the rule for the following sequence:
Term
1
2
3
4
5
6
……
Value
7
-2
-3
-8
-13
-18
……
n
Mathematical Models
When you draw graphs or pictures of situations,
or when you write equations that describe a
problem, you are creating mathematical models.
Investigation
Party Handshakes
Pg 113
Homework
Section 2.3 and Section 2.4
Quiz TOMORROW