Презентация, доклад по математике Пропорции

express direct and inverse variation in algebraic terms use algebra to find unknown quantities in direct/inverse variation problemsincrease and decrease a quantity by a given ratio

Слайд 1“Proportions”
Made by Alex

“Proportions”   Made by Alex

Слайд 2express direct and inverse variation in algebraic terms
use algebra to find

unknown quantities in direct/inverse variation problems

increase and decrease a quantity by a given ratio
express direct and inverse variation in algebraic terms use algebra to find unknown quantities in direct/inverse variation

Слайд 3Direct Proportion
Y is directly proportional to X:

That is, y = x

multiplied by a constant:

y ??? x

y = kx

Take an example: 4 = 2x ? k = 2, so y = 2x

Direct ProportionY is directly proportional to X:That is, y = x multiplied by a constant:y ??? xy

Слайд 4Direct Proportion
e.g. y is directly proportional to x.
When x =

2, y = 8. Find x when y = 10.
Direct Proportione.g. y is directly proportional to x. When x = 2, y = 8. Find x

Слайд 5Direct Proportion
e.g. y is directly proportional to x2.
When x =

2, y = 16. Find x when y = 5.


???

???

???

???

Direct Proportione.g. y is directly proportional to x2. When x = 2, y = 16. Find x

Слайд 6Inverse Proportion
e.g. y is inversely proportional to x.
When x goes

up, y goes down.




Inverse Proportione.g. y is inversely proportional to x. When x goes up, y goes down.

Слайд 7Inverse Proportion
e.g. y is inversely proportional to x2.
When x =

2, y = 1. Find y when x = 1.


???

y = ???

y =

Inverse Proportione.g. y is inversely proportional to x2. When x = 2, y = 1. Find y

Слайд 8Using direct/inverse proportion to solve problems
Mr. Jones wants to build a

patio. It will take 3 men 72 hours to do it. How long will 5 men take?

Is this direct or inverse proportion?

h ???

???

Using direct/inverse proportion to solve problemsMr. Jones wants to build a patio. It will take 3 men

Слайд 9Using direct/inverse proportion to solve problems
The power (P) generated in an

electrical circuit is proportional to the square of the current (I) amps.
When P = 108, I = 6. Find I when P = 75.

???

???

???

???

???

Using direct/inverse proportion to solve problemsThe power (P) generated in an electrical circuit is proportional to the

Слайд 10Increase and decrease by a given ratio
e.g. increase 200 by a

ratio of 3:2
“allow three parts for every two”
Increase and decrease by a given ratioe.g. increase 200 by a ratio of 3:2“allow three parts for

Слайд 11Increase and decrease by a given ratio
e.g. decrease 210 by a

ratio of 3:7

=

Increase and decrease by a given ratioe.g. decrease 210 by a ratio of 3:7=

Слайд 12Increase and decrease by a given ratio








Increase and decrease by a given ratio

Слайд 13Increase and decrease by a given ratio
This postcard is enlarged by

5:2. What are the new dimensions?

10 cm

16 cm

??? cm

??? cm

Increase and decrease by a given ratioThis postcard is enlarged by 5:2. What are the new dimensions?10

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