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Thursday, December 1 st. Warm Up. Write a rule for each sequence using “n” 15, 24, 33, 22 -11, -15, -19, -24. Please Complete warm up and take out homework (worksheet) Did you write down the homework?. Did you know?!?!?. For most people, the ratio of the

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Thursday, December 1 st

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Thursday december 1 st

Thursday, December 1st

Warm Up

Write a rule for each sequence using “n”

15, 24, 33, 22

-11, -15, -19, -24

Please Complete warm up and take out homework (worksheet)

Did you write down the homework?


Did you know

Did you know?!?!?

For most people, the ratio of the

length of their head to their total

height is 1:7. Use proportions to test

your measurements and see if they

match this ratio.


Corny joke of the day

Corny Joke of the Day

How did the hammerhead shark do on his quiz?

He Nailed it!


Attention

Attention!

Next Checkpoint is

FRIDAY


Thursday december 1 st

Homework

Answers


Thursday december 1 st

Equivalent

Ratios


Thursday december 1 st

  • Equivalent ratios

  • are ratios that name the same comparison.

  • You can find an equivalent ratio by multiplying or dividing both terms of a ratio by the same number.


Can you make two equivalent ratios

Can you make two equivalent ratios?!?!

1. 4.

2.5. 5 to 9

3. 6 : 12


Jumping jacks

Jumping Jacks


Thursday december 1 st

Rates


What is rate

What is Rate?

RATE: compares two quantities that have different units of measure


What is rate1

What is Rate?

For example:

Abbey charges $28 dollars for 3 hours of swimming lessons. David charges $18 dollars for 2 hours of swimming lessons. Which instructor offers a better deal?


How do we find it

How do we find it?

Divide!

Set up your Rate

Abbey: charges $28 dollars for 3 hours of swimming lessons.

Rate= == 9.33


Find david

Find David

Who had a better deal?

Set up your Rate

David: charges _______dollars for _______ hours of swimming lessons.

Rate= ==__________


You try

You Try!

An 8-ounce bag ____________chips costs $1.68. A 4-ounce bag of __________chips costs $0.88. Which is the better deal?


Thursday december 1 st

Example

#2


Thursday december 1 st

The new movie “Hunger Games” is expected to draw large crowds. Several cinemas have already started making package deals for movie tickets. In your groups determine which Theater has the best deal!

Mall of Georgia Regal Cinema

5 tickets for $112

Hollywood 24

7 tickets for $135.60


Proportions

Proportions


Can you finish the statement

Can you finish the statement?

  • Basketball is to hoop as soccer ball to ____________.

  • pumpkin is to Halloween as fireworks are to ________________

  • Fish is to water as bird is to _________


Thursday december 1 st

These are all

PROPORTIONS!


Thursday december 1 st

4

2

2

6

4

2

4

8

__

__

__

__

__

__

__

__

=

=

=

4

1

2

1

1

2

2

3

A proportion is an equation that shows two equivalent ratios.

Reading Math

Read the proportion = as “two is to

one as four is to two.”


Thursday december 1 st

=

3

9

9

2

4

3

14

2

__

__

__

__

__

__

__

___

=

=

=

15

6

5

1

2

7

4

8

6 •3 =

9 • 2

7 •2 =

14 • 1

8 • 2 =

4 • 4

5 • 9 =

3 • 15

16= 16

18 = 18

14 = 14

45= 45

This is how

you prove proportions!


Question of the day

Question of the day

How would you find the missing value to complete proportion


Method 1

Method #1

Criss Cross and algebra

Cross Multiply and Divide


Steps

Steps

  • Cross multiply

  • Set up equation

  • Use inverse operations to solve for missing variable


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5

6n

90

n

__

__

___

___

=

6

18

6

6

Criss-Cross and Solve!

Find the missing value in the proportion.

Find the cross products.

6 •n=

The cross products are equal.

5 • 18

6n= 90

n is multiplied by 6.

Divide both sides by 6 to undo the multiplication.

=

n = 15


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Cross

Multiply

And

Divide!!!!


Method 2

Method #2

Use guess and check

Caution: doesn’t work if the answer is a fraction!


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Soooooooooooo

easyyyyyyyyyyy


You try 1

You Try #1


You try 2

You Try #2


You try 3

You Try #3


You try 4

You Try #4


You try 5

You Try #5


Real world application

Real World Application


Thursday december 1 st

f

f

1 tbsp

1 tbsp

____

_____

_____

____

4 gal

6 gal

6 gal

4 gal

According to the label, 1 tablespoon of plant fertilizer should be used per 6 gallons of water. How many tablespoons of fertilizer would you use for 4 gallons of water?

Let f be the amount of fertilizer for 4 gallons of water.

=

=

Write a proportion.

6 •f= 1 • 4

The cross products are equal.


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2

2

6f

4

__

__

__

___

3

6

6

3

Continued

f is multiplied by 6.

6f= 4

Divide both sides by 6 to undo the multiplication.

=

Write your answer in simplest form.

f = tbsp

You would use tbsp of fertilizer for 4 gallons of water.


Thursday december 1 st

tbsp

tbsp

gal

gal

___

___

___

___

tbsp

tbsp

gal

gal

Caution!

In a proportion, the units must be in the same order in both ratios.

=

or

=


What did rudolph do wrong

What did Rudolph do Wrong?

Fives pounds of sugar cookies cost $20 dollars, but he only needs 3 pounds


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