Parking Spots
A parking lot has a ratio of 4 accessible spots for every 20 parking spots. Create another equivalent ratio to represent the spots in the parking lot
4 accessible:20 total spots
what is...
2 accessible:10 total
8a:40t
20a:100t
A beehive is made up of 48 bees. Create a ratio that represents the number of female bees to male bees
What is...
1 female:47 male
24 female:24 male
12 female:36 male
The aquarium recommends 2 adults for every 15 students. For a trip with 75 students, this many adults are needed.
What are 10 adults?
2a:15s= _____ a: 75s
15x5=75 so 2x5=10 adults
Camila ran 2 kilometers in 15 minutes on Monday and 3 kilometers in 20 minutes on Tuesday. Her distance-per-minute rates are 2/15 and 3/20 kilometers per minute. Are the ratios equivalent or not equivalent?
What is not equivalent?
2km:15 minutes is not equivalent to 3km:20 minutes
2 does not multiply by anything to get to 3 and 15 does not multiply by anything to get to 20
This is the greatest common factor of 27 and 63.
What is 9?
Factors are the numbers used to multiply together in an equations
A parking lot has a ratio of 12 accessible spots for every 30 standard spots. What is the total number of spots in this parking lot?
What is 42 spots?
12a+30s=42 total spots
1,250 bees can create 0.2 kilograms of honey each day. How much honey can they create in 1 week?
What is 1.4 kilograms?
0.2kg x 7 days= 1.4 kg
With 75 students and the 10 required adults, this is the total number of tickets the teacher should purchase.
What are 85 tickets?
75 students + 10 adults= 85 tickets
While biking, Camila’s heart beat 90 times in 30 seconds. This was her heart rate in beats per second.
What is 3 beats per second?
90 beats: 30 seconds
_____beats: 1 sec
1x30=30 or 30/30=1 so I can take 90/30 and get 3
This is the greatest common factor of 12 and 72.
What is 12?
The city requires 3 van-accessible spaces for every 15 standard spaces. At a library with 54 parking spaces total, this many spaces should be van-accessible.
What is 9 van-accessible spaces?
3 van-accessible: 15 standard = 18 total spaces
54/18= 3 so I multiply 3x3 which is 9
A colony produces 0.4 kilograms of honey for every 2,500 bees. A colony of 20,000 bees can produce this much honey in one year.
What is 3.2 kilograms?
0.4 kg:2,500 bees= ______kg:20,000 bees
20,000/2500=8 what you do to one side, you do to the other so 0.4x8=3.2 kg
The zoo recommends 3 adults for every 21 students. For a trip with 84 students, this many adults are needed.
What are 12 adults?
3a:21s=_____a:84s
84/21=4 so 3x4=12 adults
While swimming, Camila’s heartbeat 70 times in 20 seconds. Compared with her biking rate of 3 beats per second, which activity made her heart beat faster?
What is swimming?
70 beats: 20 seconds
____beats: 1 second
20/20=1 so 70/20=3.5 beats which is faster than 3
This is the least common multiple of 10 and 12.
What is 60?
Multiples: skip counting
Using the same requirement of 3 van-accessible spaces for every 15 standard spaces, this many spaces should be van-accessible in a lot with 72 parking spaces total.
What is 12 van-accessible spaces?
72/18=4 so 3x4 is 12
At a rate of 0.4 kilograms of honey for every 2,500 bees, this many bees are needed to produce 2 kilograms of honey in one year.
What are 12,500 bees?
0.4kg:2,500 bees= 2kg:_____bees
2/0.4=5 so then I multiply 2,500x5=12,500 bees
With 84 students and the 12 required adults, this is the total number of tickets the teacher should purchase
What are 96 tickets?
84 students + 12 adults= 96 tickets
At $3 for 2 tacos, this many tacos can Marcella buy for $36.
What are 24 tacos?
$3: 2 tacos = $36: _____tacos
3x12=36 so I take 2x12 which equals 24 tacos
This is the least common multiple of 9 and 15.
What is 45?
What are the only operations used to find equivalent ratios?
What are multiplication and division?
What is the difference between part-part-whole ratios and equivalent ratios?
What is....
Equivalent ratios-making 2 ratios that are equal
Part-Part-Whole is using a ratio and finding a total number
What other strategies can be used when using or creating ratios?
What is...
Least Common Multiple (LCM)
Greatest Common Factor (GCF)
Multiplying or dividing
Double Number Line
Table
Tape Diagram
If Mrs. Lanning has 15 pencils and Mr. Mullins has 25 pencils, what are the parts and the whole?
What is....
Parts: 15 pencils and 25 Pencils
Whole: 40 pencils
If Mrs. Lanning has 15 red pencils and Mr. Mullins has 25 green pencils
*How many pencils would there be if they tripled the number of pencils?
*What would be the new ratio be if they triple the number of pencils?
What is...
*120 pencils
*The new ratio would be 45 red pencils:75 green pencils