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Secondary Math Summit Spring 2008. Building A house with Ratios & Proportions. Presenters Angela D. Price Prathea Walker-Byrd. Builder’s Special Mathematical Mansion. Need a House! Call “B.S.M.M” for Construction Specials!. We have 4 Models to choose from.
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Building A house with Ratios & Proportions Presenters Angela D. Price Prathea Walker-Byrd
Builder’s SpecialMathematical Mansion Need a House! Call “B.S.M.M”for Construction Specials! We have 4 Models to choose from. Choose the Model that fits your needs.
House A x x y y House B = Model I • Model I – building two identical houses • Use this model when setting up ratios and rates • Use when you have only two units of measure to compare.
Example Question: Ana mixes concentrated shampoo and water in a 1 : 4 ratio. How many ounces of water does she mix with 5 oz of shampoo? Step 1: Identify what is being compared (decide on the roof and house) Step 2: Match the shapes to build house House A House B = Building Model I 1 5 4 X
Model II – Building a house with a pool Use this model when introducing percent proportion Use for percent of a number House IS OF With A Pool % = 100 MODEL II
Example Questions What is 12% of 200 ? What percent of 15 is 7 ? 85% of what number is 68 ? Identify the “is”, the “of” and the “% (percent)” (find the roof, house, and pool) Match the shapes to build the house with the pool. House Pool = 100 BUILDING MODEL II 85 68 X
Model III – Building a house 2 story house Use this model when introducing percent equation Use for percent of a number what percent of 25 3.2 is x 25 3.2 = MODEL III
Example Questions What number is 12% of 200? What percent of 15 is 7? 85% of what number is 68? Build your floor Build your walls BUILDING MODEL III 200 is 12% of What number x 200 = .12
Model IV – Building a house with a pool Use this model when doing percent of a number word problems Use for percent of a number House With A Pool % PART = 100 WHOLE MODEL IV
Example Question Maria spent $14 on a game book last week. This was 12.5% of her paycheck. How much was her paycheck? Identify the part, the whole and the percent (Identify the roof, house, and pool) Match the shapes to build your house with a pool House With A Pool = 100 BUILDING MODEL IV 12.5 14 X