MATRIX GRANT PROJECTMATRIX GRANT PROJECT

DIANADIANA

ROOM 606ROOM 606

SCHOOL#14SCHOOL#14

PROPORTIONSPROPORTIONS

PROPORTIONS & SIMILAR PROPORTIONS & SIMILAR FIGURESFIGURES

PROPORTIONSPROPORTIONS

Define the word proportionDefine the word proportion

PROPORTIONSPROPORTIONS

A proportion is an equation which A proportion is an equation which states that two ratios are equivalent. states that two ratios are equivalent. Proportions are used to find unknown Proportions are used to find unknown lengthslengths

ProportionsProportions

Step1:Step1:

Write a proportion Write a proportion stating the stating the lengths of the lengths of the figures. Make figures. Make sure the lengths sure the lengths from one figure from one figure are across from are across from each other. each other.

Example:Example:

If the ring finger is If the ring finger is 3ft. tall and 2ft 3ft. tall and 2ft wide, and the wide, and the pinky is 2ft tall pinky is 2ft tall and 1ft wide the and 1ft wide the proportion will proportion will look like this :look like this :

3/2=2/13/2=2/1

MULTIPLYMULTIPLY

Step 2Step 2

Next you have to Next you have to cross multiply. You cross multiply. You only cross multiply only cross multiply if you have two if you have two numbers diagonal numbers diagonal from each other. from each other.

Example:Example:

3/5* n/153/5* n/15

The number three is The number three is diagonal from the diagonal from the number 15 so you number 15 so you have to multiply have to multiply these two numbers these two numbers and get your and get your product.product.

Step3:Step3:

After you have got After you have got your product, you your product, you must write an must write an equation stating your equation stating your unknown length and unknown length and the number you know, the number you know, an equal sign, and an equal sign, and your productyour product

Example:Example:

5n=455n=45

Step 4:Step 4:

Now that you have Now that you have wrote your equation, wrote your equation, you have to divide you have to divide your product with the your product with the length you do knowlength you do know

Example:Example:

45 45 ÷5=9÷5=9

n=9n=9

DivideDivide

SolveSolve

Now that you know how to solve Now that you know how to solve proportions with similar figures proportions with similar figures solve this:solve this:

A triangles height is 6ft and its A triangles height is 6ft and its shadow is 5ft and another triangle’s shadow is 5ft and another triangle’s shadow is 3 ft, but the height is shadow is 3 ft, but the height is unknown. Using a proportion to find unknown. Using a proportion to find the length. the length.

WebsiteWebsite

Now you could go on a educational website. Now you could go on a educational website. Go to the internet. Then scroll down and Go to the internet. Then scroll down and click on Stevens Institute Matrix. After on click on Stevens Institute Matrix. After on the side it has some sites, click on program the side it has some sites, click on program resources. Next a window is going to appear, resources. Next a window is going to appear, and you are going to click where it says 6and you are going to click where it says 6thth grade Harcourt Math. Then scroll down to grade Harcourt Math. Then scroll down to chapters 24-27. In that category scroll down, chapters 24-27. In that category scroll down, and click on Exploring Fractionsand click on Exploring Fractions