HW # 55 - Watch videos # 1,4,7, 22, 23 Copy the examples onto your paper. Do p. 226-227 # 1-35 odd...
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Transcript of HW # 55 - Watch videos # 1,4,7, 22, 23 Copy the examples onto your paper. Do p. 226-227 # 1-35 odd...
HW # 55 - Watch videos # 1,4,7, 22, 23 Copy the examples onto your paper.Do p. 226-227 # 1-35 odd and # 36
Warm up
The number of Roberto’s baseball cards is ¾ the number of David’s cards If Roberto gives ½ of his cards to David, what will be the ratio of Roberto’s cards to David’s cards?
Week 16, Day Two
Warm Up Response
* 3 to 11
Homework Checkp.
Goals for Today
• Mixing Paint- MARS task• List it as CW on your TOC. Get a signature from
me when you have completed the work.
Vocabulary
ratioequivalent ratios
A ratio is a comparison of two quantities.
Ratios can be written in several ways. 7
to 5, 7:5, and name the same ratio.7 5
Additional Example 1: Writing Ratios in Simplest Form
Write the ratio 15 bikes to 9 skateboards in simplest form.
159
53
The ratio of bikes to skateboards is , 5:3, or 5 to 3.
=
15 ÷ 39 ÷ 3
Write the ratio as a fraction.
= = Simplify.
53
bikesskateboards
Check It Out! Example 1
Write the ratio 24 shirts to 9 jeans in simplest form.
249
83
The ratio of shirts to jeans is , 8:3, or 8 to 3.
=shirtsjeans
24 ÷ 39 ÷ 3
Write the ratio as a fraction.
= = Simplify.
83
When simplifying ratios based on measurements, write the quantities with the same units, if possible.
Write the ratio 3 yards to 12 feet in simplest form.
First convert yards to feet.
9 feet12 feet
=3 yards12 feet
34
=9 ÷ 312 ÷ 3
=
There are 3 feet in each yard.
Additional Example 2: Writing Ratios Based on Measurement
3 yards = 3 ● 3 feet
= 9 feet Multiply.
Now write the ratio.
Simplify.
The ratio is , 3:4, or 3 to 4.34
Write the ratio 36 inches to 4 feet in simplest form.
First convert feet to inches.
36 inches48 inches
=36 inches4 feet
34
=36 ÷ 1248 ÷ 12
=
There are 12 inches in each foot.
Check It Out! Example 2
4 feet = 4 ● 12 inches
= 48 inches Multiply.
Now write the ratio.
Simplify.
The ratio is , 3:4, or 3 to 4.34
Ratios that make the same comparison are equivalent ratios. Equivalent ratios represent the same point on the number line. To check whether two ratios are equivalent, you can write both in simplest form.
Additional Example 3: Determining Whether Two Ratios Are Equivalent
Simplify to tell whether the ratios are equivalent.
1215
B. and 2736
327
A. and 218
Since ,
the ratios are
equivalent.
19
= 19
19
=3 ÷ 327 ÷ 3
327
=
19
=2 ÷ 218 ÷ 2
218
=
45=
12 ÷ 315 ÷ 3
1215
=
34=
27 ÷ 936 ÷ 9
2736
=
Since ,
the ratios are not
equivalent.
45
34
Check It Out! Example 3
Simplify to tell whether the ratios are equivalent.
1449
B. and 1636
Since ,
the ratios are
equivalent.
15
= 15
15
=3 ÷ 315 ÷ 3
315
=
15
=9 ÷ 945 ÷ 9
945
=
27
=14 ÷ 749 ÷ 7
1449
=
49=
16 ÷ 436 ÷ 4
1636
=
Since ,
the ratios are not
equivalent.
27
49
315
A. and 945
Additional Example 4: Earth Science Application
At 4°C, four cubic feet of silver has the same mass as 42 cubic feet of water. At 4°C, would 20 cubic feet of silver have the same mass as 210 cubic feet of water?
4 ÷ 242 ÷ 2
?= 20 ÷ 10210 ÷ 10
221
= 221
442
?= 20210
Since ,
210 cubic feet of water would have the same mass at 4°C as 20 cubic feet of silver.
221
= 221
Divide.
Simplify.
ft3 silverft3 water
Check It Out! Example 4
At 4°C, two cubic feet of silver has the same mass as 21 cubic feet of water. At 4°C, would 105 cubic feet of water have the same mass as 10 cubic feet of silver?
?= 10 ÷ 5105 ÷ 5
221
221
= 221
221
?= 10105
Since ,
105 cubic feet of water would have the same mass at 4°C as 10 cubic feet of silver.
221
= 221
Divide.
ft3 silver ft3 water
Simplify.
Lesson Quiz: Part I
Write each ratio in simplest form.
1. 22 tigers to 44 lions
2. 5 feet to 14 inches
415
3.
821
4.
830
1245
Possible answer: ,
1642
2463
Possible answer: ,
Find two ratios that are equivalent to each given ratio.
12307
Lesson Quiz: Part II
7. Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice from a 128 oz bottle. Are the ratios of poured juice to starting amount of juice equivalent?8
6416
128and ; yes, both equal 1
8
85
85
= ; yes1610
5.
3624
6.
Simplify to tell whether the ratios are equivalent.
and 32 20
and 28 18
32
149
; no