Download - Patterns and Graphs
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Chapter 9 Patterns and Graphs
Starts on pg 434
Homework pg 454 #5-19 all
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Graphs
What are graphs?
A visual representation of data
How are graphs important?
Graphs can help see patterns and identify
important information.
Parts of a graph Title
x axis (horizontal/ bottom) y axis (vertical/ side)
Labels/form of measurement
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Estimating/Predicting Using Graphs pg 438
How to read a graph
Identify your axis to tell you what information you
are looking at. Type of measurement, units?
To predict you have to extend the information
line/data line and estimate.
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Lets practice:
What can you tell me about this graph?
What would be the cost of 100 kWh?
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How to graph
Decide what information you are graphing.
Label graph
Make sure all information are in the same units. Plot your points.
X Y
First Second
Right/Left Up/Down
Horizontal/R
ow
Vertical/Colu
mn
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Lets graph
Age (yr) Height (cm)
5 907 95
9 102
11 110
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Patterns
Whats a pattern?
How can we use patterns to help us?
Sequence a set of number that follow a pattern.
Term Each number in a sequence.
Arithmetic a sequence where you add/subtract
Geometric a sequence where youmultiply/divide
Conjuncture a guess of what is happening
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Fibonacci Sequence
0, 1, 1, 2, 3, 5, 8, 13,
Do you see a pattern? Is it geometric or arithmetic?
What is the 10th and 12th term?
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Tables and patterns
Position 1 2 3 4
Rule
Outcome/Value 3 4 5 6
Position Whats happening Outcome
Can tables look different but have the same
information?
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Writing Expressions/Rules - pg 447
Position is the term in the sequence or what x is.
Rule is the expression where you plug x into. It is
what is happening to get y.Outcome - is y, the value or your answer.
Position 1 2 3 4
Rule -3n + 5 -3(1) + 5 -3(2) + 5 -3(3) + 5 -3(4) + 5
Outcome/Value 2 -1 -4 -7
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Finding Terms create a table to find
the first four terms
6n + 1
-n/4
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Lets describe the patterns, write an
expression and find the next term.
-2, 4, -8, 16
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Quick Check
Use the relationship y = x
Make a table that shows the values of y forx = -2, -4, 2 and 4
( )
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Using the graph (pg 439) to the below right estimateyour answer for the following:
1. The cost of 85 kilowatt-hours of electricity?
2.$6.50 will pay for how many kWh?
Are the following arithmetic, geometric, both orneither?
3. -2, -2, -2,
4. 300, 60, 12, 2.4, .5. 84, 63, 42, 21,
Find the first four terms in the sequence.
6. n + 3
7. 4n 2
8. n2 3
Write an expression for
9. 11, 22, 33, 44
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Function pg 452 The function machine
Function assign one output for each input.
X to Y
Input = output
Input is x Output is what you get for y
after you plug in x into the function rule.
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Writing Function Rules
Create a table if helpful (I always do!)
Y = mx + b (when writing function rules/expressions)
M change in y/change in x
B the output when input is 0
If x does not = 0 you might to have to continue the pattern
backwards until x does = 0
X input Y output What is happening
from y to y (m)
0 1
1 -8
2 -17
3 -26
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Solve
Find y (output) when the input (x) = -2, -1, 0, 1, 2
HINT: make a table
y = x/2
y = 3x2 + 1
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Writing Rules for the following
The number n of words you type and the time t
it takes, if you type at a rate of 32 words/min.
X Y
0 4
1 5
2 63 7
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Quiz Friday
Over pg 454 and exit ticket
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Answer key to Exit Ticket 11/14
Switch paper with someone at your group.
Mark if they got it wrong.
1. $7
2. About 81
3. Both4. Geometric
5. Arithmetic
6. 4, 5, 6, 7
7. 2, 6, 10, 148. -2, 1, 6, 13
9. 11n