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November 30, 2012
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November 30, 2012
Notes Module 2 Unit 2 Day 16-G, S: Proportional Relationships
Proportion- an equation stating two ratios are ______________________
Cross Products- the two products by one numerator and one denominator of opposite fractions
Ex: 6 9
8 12
State whether these two ratios are a proportion.
Example 1: Example 2:
3 6
5 30 8 16
9 54
Example 3: Example 4:
6 4 4 5
9 6 8 9
Example 5:
A certain shade of green paint requires 4 parts blue to 5 parts yellow. If you mix 16 quarts of blue
paint with 25 quarts of yellow paint, will you get the desired shade of green? Explain.
November 30, 2012
Welcome to Class!
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Put your homework on the top left corner of your desk
PROBLEM OF THE WEEK!
November 30, 2012
Notes Module 2 Unit 2 Day 17-G, A: Solving Proportions
Example 1:
Solve the proportion using mental math.
3 x
8 24
Solve the proportion using cross products.
Example 2: Example 3:
12 x 1 x
15 21 3 25.5
Example 4:
If 3 onions weigh 0.75 lb, how much do 10 onions weigh?
November 30, 2012
Welcome to Class!
Write down the assignment in your agenda
PROBLEM OF THE WEEK!
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Put your homework on the top left corner of your desk
November 30, 2012
Notes Module 2 Unit 2 Day 18-G: Solving Proportions with Story Problems
REMEMBER: Labels need to match in numerators and in denominators
Example 1:
Postcards cost $2.45 for 5 cards. How much will 13 cards cost?
Example 2:
Swimming goggles cost $84.36 for 12. At this rate, how much will goggles for 17 membesr of
a swim team cost?
Example 3:
At a telethon, a volunteer can take 48 calls over a 4-hour shift. At this rate, how many calls
can 12 volunteers take in a 4-hour shift?
Example 4:
You received $57.04 for working 8 hours. At that rate, how much would you receive for
working 11 hours?
November 30, 2012
Welcome to Class!
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Study for your Homework Quiz
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November 30, 2012
Notes Module 2 Unit 2 Day 19: Similar Figures
Similar Figures- figures with the same shape but not the same _______________
Corresponding Parts- parts of the two figures that are in the same relative position.
F
A
4 40 40
4
B C
3
G H
30
Example 1:
ΔACT and ΔODG are similar. Find the value of x.
C D
x cm
50 cm
32 cm
40 cm
O
24 cm G
A
30 cm T
Example 2:
A 6-ft-tall person standing near a flagpole casts a shadow 4.5 ft long. The flagpole casts a shadow
15 ft long. What is the height of the flagpole?
Example 3:
A 6-ft person has a shadow 5 ft long. A nearby tree has a shadow 30 ft long. What is the
height of the tree?
November 30, 2012
Welcome to Class!
Write the assignment in your agenda
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Put your homework on the top left corner of your desk
PROBLEM OF THE WEEK!
November 30, 2012
November 30, 2012
Notes Module 2 Unit 2 Day 20: Scale Drawings
Scale drawing- enlarged or _______________________drawing, similar to the actual object
Scale- _____________that relate the real figure and the model
Example 1: Using the scale of a map -Pg. 400 Ex. 1
Use the map of Maine to estimate the distance between the towns of China and New Sweden.
Example 2:
The length of the side of a house is 3 cm tall on the drawing. How tall is the actual house?
Scale: 1 cm = 2.5 m
Example 3:
The chimney of the house is 4 cm tall on the drawing. How tall is the chimney of the actual
house?
Scale: 1 cm = 2.5 m
Example 4:
The actual length of a boxcar is 609 in. The length of the model boxcar is 7 in. What is the
scale of the model?
November 30, 2012
Welcome to Class!
Write down the assignment in your agenda
Put your homework on the top left corner of your desk
Come see me if you want to pass back papers
Grab a piece of graph paper from the back table
PROBLEM OF THE WEEK!
November 30, 2012
November 30, 2012
Welcome to Class!
Write down the assignment in your agenda
Put your homework on the top left corner of your desk
Come see me if you want to pass back papers
PROBLEM OF THE WEEK!
November 30, 2012
Notes Module 2 Unit 2 Day 22: Graphing Proportional Relationships
Proportional Relationships- graphs will be a straight line and go through the origin
Which one of these graphs shows a proportional relationship?
Proportional relationship equations only have multiplying or dividing:
Examples: Non-Examples:
y=x y=x+4
y = 2x y = 4x + 4
y = 0.5x y=x+6
y = 2.5x y = 4x + 6
Example 1:
If 5 pencils cost $1.20, how much would 12 pencils cost?
- You could use a table to solve the problem
Pencils 5 6 7 8 9 10 11 12
Dollars $1.20
- You could set up a proportion and solve by Now, graph this information on the following
cross multiplying coordinate plane.
5 pencils 12 pencils
$1.20 x
Is this a proportional relationship?
What is the unit rate for 1 pencil?
If Miss Cervenka went through 250 pencils last year, how much money did she
spend on pencils?
November 30, 2012
Welcome to Class!
Write the assignment in agenda
Come see me to pass back papers
Put your homework on the top left corner of your desk
PROBLEM OF THE WEEK!
November 30, 2012
Notes Unit 2 Day 23: Patterns and Graphs
Example 1:
The table shows the conversions of yards to inches.
Let’s display that same data in a graph.
Yards and Inches
Number of Yards Number of Inches
1 36
2 72
3 108
4 144
5 180
What is the unit rate?
Could you make a prediction about how many inches would be in 7 yards?
Example 2:
Graph the data in the table below. What is the unit rate?
Amount of Yogurt (c) Price ($)
50 26
100 49
150 72
200 95
Example 3:
The graph shows the cost of renting a personal watercraft. Estimate for the cost of a 3 and a
half hour rental?
Watercraft Rentals
400 What is the unit rate?
Cost (dollars)
300
200
Use the graph to estimate the
100 cost of an hour and half rental.
1 2 3 4
Time (hours)
November 30, 2012
Welcome to Class!
Write down the assignment in your agenda
Come see me if you want to pass back papers
Module 2 Unit 1 Test--TOMORROW!!
November 30, 2012
Helpful Hints:
Top drops in the box
Proportions: Use Butterfly or Toothbrush
SHOW ALL YOUR WORK for EVERY problem :)
GOOD LUCK!!
