patterns and graphs

7/30/2019 Patterns and Graphs

1/20

Chapter 9 Patterns and Graphs

Starts on pg 434

Homework pg 454 #5-19 all


2/20

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


3/20

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.


4/20

Lets practice:

What can you tell me about this graph?

What would be the cost of 100 kWh?


5/20

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


6/20

Lets graph

Age (yr) Height (cm)

5 907 95

9 102

11 110


7/20

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


8/20

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?


9/20

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?


10/20

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


11/20

Finding Terms create a table to find

the first four terms

6n + 1

-n/4


12/20

Lets describe the patterns, write an

expression and find the next term.

-2, 4, -8, 16


13/20

Quick Check

Use the relationship y = x

Make a table that shows the values of y forx = -2, -4, 2 and 4

( )


14/20Exit Ticket for 11/14

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


15/20

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.


16/20

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


17/20

Solve

Find y (output) when the input (x) = -2, -1, 0, 1, 2

HINT: make a table

y = x/2

y = 3x2 + 1


18/20

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


19/20

Quiz Friday

Over pg 454 and exit ticket


20/20

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

patterns and graphs

Documents