4 1 Proportions
description
Transcript of 4 1 Proportions
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Warm Up
• Write in simplest form • Solve.
4
16
48
60
72
44
0.5 15x
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Warm Up
• Write in simplest form • Solve.
4 1
16 4
48 4
60 5
72 18
44 11
0.5 15z
0.5 15
0.5 0.5
z
1 30z
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Proportions
Some of the most useful items on the math menu
Chapter 4.1
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Write 5 to 9
• as a fraction
• as a ratio
• What’s the difference?
5
9
5
9
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Are They Equal?
2 5?
10 25
Cross Multiplication• What is 10 x 5?• What is 2 x 25?• If both cross
multiplications statements are equal, the fractions are equal.
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Are They Equal?
4 3?
16 12
Cross Multiplication• What is 16 x 3?• What is 4 x 12?
• If both cross multiplications statements are equal, the fractions are equal.
48
48
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Are They Equal?
3 48?
4 60
Cross Multiplication• What is 3 x 60?• What is 4 x 48?
48 4
60 5
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Find the missing number.
• Using Algebra• 14 x 35 = 10x
10 35
14 x
490 10x490 10
10 10
x
49 1x49 x
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Rectangle ABCD ~ WXYZ
• Solve for s.
B
W
D
C
A
X Y
Z
9
27
s
25
left
bottom9
2725
s
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Book Sale
• 4 for $1.25• How much is one?
• Label books
and price
Set up a proportion.
Write down labels to help.
4
1.251
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Cross Multiply and divide
• 4 for $1.25• How much for one?
4 1
1.25 x
4 1 $1.25x 4 1.25
4 4
x
1 $.325x $.33x
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How Tall?
• Man – 6 ft• Man’s shadow – 9 ft• Tree’s shadow – 45 ft
• Set up a proportion.
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Proportion
• Man – 6 ft• Man’s shadow – 9 ft• Tree’s shadow – 45 ft
Labels• Actual Height• shadow length
6
45 9
t
9 6 45t
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“Lush-Lawn Fertilizer”
• Use 4 lb. for 1500 sq. ft.
• How much to cover 2400 ft2?
Labels:
.lb
area
4
15002400
l
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“Lush-Lawn Fertilizer”
4
15002400
l
4 2400 1500x 9200 1500
1500 1500
x
16.3 6 .
3lbs
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Assignment
Page 168 : 13-45 odds