9-7 Algebra 1 - 1.1 2 Number Sequences pd. 2.notebook - Red Clay ...

9­7 Algebra 1 ­ 1.1 2 Number Sequences pd. 2.notebook
September 07, 2011
Essential Question: How do you form an equation from a
sequence?
GLE: Use a variety of strategies to write expressions that
generate the nth term of arithmetic (linear) and
geometric (exponential) patterns.
September 7, 2011
Warm­up:
Find the next three terms of the following
sequence by using constant differences.
15.1, 12.8, 10.5, 8.2, 5.9, . . .
Essential Question: How do you form an equation from a
sequence?
GLE: Use a variety of strategies to write expressions that
generate the nth term of arithmetic (linear) and
geometric (exponential) patterns.
Example 2:
Find the next three terms of each
sequence by using constant differences.
49, 64, 81, 100, 121
Sep 2­4:36 PM
1

9­7 Algebra 1 ­ 1.1 2 Number Sequences pd. 2.notebook
September 07, 2011
Essential Question: How do you form an equation from a
sequence?
GLE: Use a variety of strategies to write expressions that
generate the nth term of arithmetic (linear) and
geometric (exponential) patterns.
Example 3:
A projectile is launched from ground
level. The data in the table below give
its height above ground during the first
4 seconds immediately after the
launch. After 10 seconds, the projectile
hits the ground.
Time in
Seconds
Height in
Feet
0 0
1 144
2 256
3 336
4 384
... ...
10 0
Use the method of constant differences
to find the maximum height of the
projectile.
Sep 2­4:52 PM
2

9­7 Algebra 1 ­ 1.1 2 Number Sequences pd. 2.notebook
September 07, 2011
Essential Question: How do you form an equation from a
sequence?
GLE: Use a variety of strategies to write expressions that
generate the nth term of arithmetic (linear) and
geometric (exponential) patterns.
Problem Solving Strategies
• drawing a diagram
• solving a simpler problem
• making a table or chart
• looking for a pattern
Essential Question: How do you form an equation from a
sequence?
GLE: Use a variety of strategies to write expressions that
generate the nth term of arithmetic (linear) and
geometric (exponential) patterns.
Example 4:
Suppose that 10 friends have just
returned to school. Each friend has
exactly one conversation with each of
the other friends to talk about what they
did during summer break. Use problemsolving
strategies to determine how
many conversations there will be.
Sep 3­12:17 PM
3

9­7 Algebra 1 ­ 1.1 2 Number Sequences pd. 2.notebook
September 07, 2011
Essential Question: How do you form an equation from a
sequence?
GLE: Use a variety of strategies to write expressions that
generate the nth term of arithmetic (linear) and
geometric (exponential) patterns.
Homework:
pp. 8­10 #10­32 EVEN, 34 & 35
Due tomorrow
Sep 1­7:36 PM
4