Lesson 5.7 Comparing Ratios.notebook - WordPress.com · 2014. 3. 11. · Lesson 5.7 Comparing...
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Lesson 5.7 Comparing Ratios.notebook 1 March 11, 2014 Feb 237:15 PM 5.7 Comparing Ratios ^Focus: Use different strategies to compare ratios.^ Draw a picture. Make a term 1. Use equivalent ratios. Use percents. 2:5 vs. 3:7 is equivalent to 1:2 1 / 2 vs. 1:2 1 / 3 2:5 vs. 3:7 Re-write as part- to-whole ratios 2:(2+5) vs. 3:(3+7) 2:7 vs. 3:10 2 / 7 vs. 3 / 10 28.6% vs. 30% Feb 237:38 PM Example: A chicken farmer in Manitoba compares the numbers of brown eggs and white eggs laid in 2 henhouses. The chickens in Henhouse A lay 6 brown eggs for every 10 white eggs. The chickens in Henhouse B lay 3 brown eggs for every 9 white eggs. Which henhouse produces more white eggs? What assumptions do you make? Henhouse A 6 brown: 10 white Henhouse B 3 brown: 9 white
Transcript of Lesson 5.7 Comparing Ratios.notebook - WordPress.com · 2014. 3. 11. · Lesson 5.7 Comparing...
Lesson 5.7 Comparing Ratios.notebook
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March 11, 2014
Feb 237:15 PM
5.7 Comparing Ratios^Focus: Use different strategies to compare ratios.^
Draw a picture. Make a term 1.
Use equivalent ratios. Use percents.
2:5 vs. 3:7is equivalent to1:21/2 vs. 1:21/3
2:5 vs. 3:7
Re-write as part-
to-whole ratios
2:(2+5) vs. 3:(3+7)
2:7 vs. 3:102/7 vs. 3/10
28.6% vs. 30%
Feb 237:38 PM
Example: A chicken farmer in Manitoba compares the numbers of brown eggs and white eggs laid in 2 henhouses.The chickens in Henhouse A lay 6 brown eggs for every 10 white eggs.The chickens in Henhouse B lay 3 brown eggs for every 9 white eggs.Which henhouse produces more white eggs? What assumptions do you make?
Henhouse A6 brown: 10 white
Henhouse B3 brown: 9 white
Lesson 5.7 Comparing Ratios.notebook
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March 11, 2014
Feb 237:38 PM
Example: The chickens in Henhouse A lay 6 brown eggs for every 10 white eggs.The chickens in Henhouse B lay 3 brown eggs for every 9 white eggs.Which henhouse produces more white eggs? What assumptions do you make?
Henhouse A6 brown: 10 white
Henhouse B
3 brown: 9 white
Method 1: Draw a Picture & Method 2: Make a term 1.Find the "1 brown: ? white" eggs ratio using a picture.
6 brown: 10 white ÷6 ÷61 brown : 12/3 white
1 brown : 3 white
So, Henhouse B produces more white eggs, assuming that the same amount of eggs are produced every day in these ratios.
Feb 237:38 PM
Example: The chickens in Henhouse A lay 6 brown eggs for every 10 white eggs.The chickens in Henhouse B lay 3 brown eggs for every 9 white eggs.Which henhouse produces more white eggs? What assumptions do you make?
Henhouse A6 brown: 10 white
Henhouse B
3 brown: 9 white
Method 3: Use equivalent ratios.Find how many white eggs are produced for the same amount of brown eggs. Write equivalent ratios with the same first term. Then compare the second terms.
6 brown: 10 white 3 brown : 9 white
What's the common term between 6 and 3?Multiples of 6: 6, 12,...
Multiples of 3: 3, 6,...
6 brown: 10 white6:10
(stays the same)
The ratio is:6:10
3 brown: 9 white3:9 = 6:?
3x2 = 6 brownSo, 9x2 = 18 white
The ratio is:6:18
More white eggs are laid in Henhouse B for the same number of brown eggs. So, Henhouse B produces more white eggs.
Lesson 5.7 Comparing Ratios.notebook
3
March 11, 2014
Feb 237:38 PM
Example: The chickens in Henhouse A lay 6 brown eggs for every 10 white eggs.The chickens in Henhouse B lay 3 brown eggs for every 9 white eggs.Which henhouse produces more white eggs? What assumptions do you make?
Henhouse A6 brown: 10 white
Henhouse B
3 brown: 9 white
Method 4: Use percents.Write part-to-whole ratios for the number of white eggs to the total number of eggs.
Write each ratio as a fraction.Write each fraction as a percent.
6 brown: 10 white10 white:(6+10) total
10:16
= 10/16
= 62.5% white
The percentage of white eggs laid in Henhouse B for every brown egg is higher than in Henhouse A. So, Henhouse B produces more white eggs.
3 brown: 9 white9 white:(3+9) total
9:12
= 9/12
= 75% white
Aug 192:11 PM
HOMEWORK:
^TAKE OUT YOUR AGENDA PLEASE^
pg 284286
# 4, 5, 7, 9, 10, 15
