1. MATRIX GRANT PROJECT DIANA DIANA ROOM 606 ROOM 606 SCHOOL#14 SCHOOL#14

2. PROPORTIONS PROPORTIONS & SIMILAR FIGURES

3. PROPORTIONS Define the word proportion Define the word proportion

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

5. Proportions Step1: Write a proportion stating the lengths of the figures. Make sure the lengths from one figure are across from each other. Example: If the ring finger is 3ft. tall and 2ft wide, and the pinky is 2ft tall and 1ft wide the proportion will look like this : If the ring finger is 3ft. tall and 2ft wide, and the pinky is 2ft tall and 1ft wide the proportion will look like this : 3/2=2/1 3/2=2/1

6. MULTIPLY Step 2 Next you have to cross multiply. You only cross multiply if you have two numbers diagonal from each other. Next you have to cross multiply. You only cross multiply if you have two numbers diagonal from each other. Example: Example: 3/5* n/15 The number three is diagonal from the number 15 so you have to multiply these two numbers and get your product.

7. Step3: Step3: After you have got your product, you must write an equation stating your unknown length and the number you know, an equal sign, and your product After you have got your product, you must write an equation stating your unknown length and the number you know, an equal sign, and your productExample: 5n=45 5n=45

8. Step 4: Step 4: Now that you have wrote your equation, you have to divide your product with the length you do know Now that you have wrote your equation, you have to divide your product with the length you do know Example: Example: 45 ÷5=9 45 ÷5=9 n=9 n=9 Divide

9. Solve Now that you know how to solve proportions with similar figures solve this: A triangles height is 6ft and its shadow is 5ft and another triangle’s shadow is 3 ft, but the height is unknown. Using a proportion to find the length. A triangles height is 6ft and its shadow is 5ft and another triangle’s shadow is 3 ft, but the height is unknown. Using a proportion to find the length.

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