secondary math summit spring 2008
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Secondary Math SummitSpring 2008
PresentersAngela D. Price
Prathea Walker-Byrd
BuildingA house with
Ratios & Proportions
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.
Builder’s SpecialMathematical Mansion
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.
=
House A
x
y
House B
x
y
Building Model I• 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
1
4 X
5
MODEL II
• Model II – Building a house with a pool• Use this model when introducing percent
proportion• Use for percent of a number
=
With A Pool
100
%
House
IS
OF
BUILDING MODEL II
85
=
Pool
100
House
68
X
• 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.
MODEL III• Model III – Building a house 2 story house• Use this model when introducing percent
equation• Use for percent of a number
what percent3.2 is of 25
x3.2 = 25
BUILDING MODEL III
What number
x .12= 200
• 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
12% ofis 200
MODEL IV
• 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
=
With A Pool
100
%
House
PART
WHOLE
BUILDING MODEL IV
12.5
=
With A Pool
100
House
14
X
• 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