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MATRIX GRANT PROJECT DIANA ROOM 606 SCHOOL#14 PROPORTIONS PROPORTIONS & SIMILAR FIGURES PROPORTIONS Define the word proportion PROPORTIONS A proportion is an equation which states that two ratios are equivalent. Proportions are used to find unknown lengths 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 : 3/2=2/1 MULTIPLY Step 2 Next you have to cross multiply. You only cross multiply if you have two numbers diagonal from each other. 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. Step3: Example: 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 5n=45 Divide Step 4: Now that you have wrote your equation, you have to divide your product with the length you do know Example: 45 ÷5=9 n=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. 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 6th grade Harcourt Math. Then scroll down to chapters 24-27. In that category scroll down, and click on Exploring Fractions