MFM 2P Review for Quiz xy First Differences -310 Second Differences -28 6 04 12 20 3-2 xy First...

MFM 2P

Review for Quiz

x y   

FirstDifference

s

-3 10Second

Differences 

-2 8   

-1 6   

0 4   

1 2   

2 0  

3 -2 

x y   

FirstDifference

s

-3 16Second

Differences 

-2 6   

-1 0   

0 -2   

1 0   

2 6  

3 16 

Which represents a linear relationship? Which represents a quadratic relationship?

MFM 2P

Review for Quiz

MFM 2P

Review for Quiz

MFM 2P

Review for Quiz

MFM 2P

Review for Quiz

MFM 2P

Review for Quiz

-10

-5

0

5

10

-4 -3 -2 -1 0 1 2 3 4

Vertex:

Axis:

Optimal Value:

X-Intercepts:

Y-Intercepts:

Opening:

Step Pattern:  

MFM 2P

Review for Quiz

Vertex:

Axis:

Optimal Value:

X-Intercepts:

Y-Intercepts:

Opening:

Step Pattern:  

-5

0

5

10

-2 -1 0 1 2 3 4 5 6

MFM 2P

Review for Quiz

Rise:

Run:

Y-Intercept:

Independent Variable:

Dependent Variable: 

MFM 2P

Review for Quiz

Rise:

Run:

Y-Intercept:

Independent Variable:

Dependent Variable: 

MFM 2P

Minds On

Convert the following (Use your charts!):

135mm = m 12g = kg

20 yards = m 207 inches = feet

12 miles = km 0.25 pounds = kg

MFM 2P

Lesson Six: Proportions

Learning Goals:

I can define proportional I know the properties of

similar triangles I can use the idea of

proportions to determine missing sides of triangles

MFM 2P

Lesson Six: Proportions

What does “Proportional” mean?

MFM 2P

2

4

4

8

1

2

MFM 2P

2

4

4

5

MFM 2P

Lesson Six: Proportions

Proportion means:• Two quantities have the same

relative size• Two things have the same ratio

(or percentage)• All sides of a shape increase by

the same amount

MFM 2P

Lesson Six: Proportions

What is a ratio?

A ratio shows the relationship between two numbers with the same unit.Example: What is the ratio of boys to girls in this class?

MFM 2P

Lesson Six: Proportions

Can ratios be represented in a different way?

Fraction, decimal, percent, ratio form

Example: Rewrite the ratio of boys to girls in this class?

MFM 2PLesson Six: Proportions

Which are proportional? 

8 : 16

4 : 550%

15%

MFM 2PLesson Six: Proportions

Which are proportional?   

3 : 5

6 : 10

60%

MFM 2P

Lesson Six: Proportions

What is a mullet?

MFM 2P

Lesson Six: Proportions

How could you compare these mullets?

MFM 2P

Lesson Six: Proportions

How could you compare these mullets?

MFM 2PLesson Six: Proportions

0.0

0051 m

iles

0.000013 miles12 cm

33 c

m

Which Mullet is more mullet-y?

MFM 2PLesson Six: Proportions

What would it mean if two mullets had the same mullet ratio?

We can compare to OR to

MFM 2PLesson Six: Proportions

Are these mullets the same? Compare their Mullet Ratios!

12 cm

33 c

m

8 cm

22 cm

MFM 2PLesson Six: Proportions

Complete Mullet Ratio Worksheet

MFM 2PLesson Six: Proportions

What do you remember about similarity?

MFM 2PLesson Six: Proportions

How do you think this applies to triangles?

9 m15 m

8 m

7.5

m

4 m18 m

MFM 2PLesson Six: Proportions

6 m 4 m

3 m 1.5 m

These triangles as similar. What must the unknown side lengths for triangle “B” be?

BA

MFM 2PLesson Six: Proportions

7.5cm6 cm

2.1 cm3.15 cm

Are these triangles similar? How do you know?

11.25 cm 9 cm

MFM 2PLesson Six: Proportions

In conclusion, you can tell if triangles are similar if:

• They have all the same angles• Their side lengths are proportional