Ratios and Proportions
Calculation: Just do it!
Decimals, Fractions, and Percents
Vocabulary
Solve for x
100
Define ratio.
What is "a relationship between numbers", a "fixed relationship between two or more numbers", or "an unchanging balance between two or more numbers"?
100
4 squared
What is 16?
100
1/2 as a decimal
What is .5?
100
The center point on a coordinate plane (0,0)
What is the origin?
100
4 + x + 1 = 8
What is 3?
200
Joey is getting ready for a party. He knows that at his house, 2 people normally eat 10 ounces of popcorn. What is the ratio of people to popcorn eaten scaled down to its simplest form?
What is 1:5? (2:10 was the original ratio, which can be scaled down by 2)
200
2.1 divided by 3
What is 0.7?
200
1/2 as a percent
What is 50%?
200
The corner of a 3D shape
What is the vertex?
200
3x = 6
What is 2?
300
Joey is going to have TRIPLE the number of people he normally has at his house for this party. His normal ratio of cakes to people is 4:9 (4 cakes for every 9 people at the party). Scale up the ratio to represent Joey's upcoming party.
What is 12:36?
300
4 + 3 x 3
What is 13?
300
3/10 as a decimal
What is 0.3?
300
A whole number that is positive or negative
What is an integer?
300
4x + 1 = 17
What is 4?
400
Joey's party is a huge success! Everyone is eating cake and popcorn. He is sending Frederickson out to get the drinks. He told him that they would need enough cans of lemonade for everyone and that every one person normally drinks three cans. How many cans of lemonade will Frederickson need to get for the 36 people at the party? (You can solve several ways, but it works well as a proportion.)
What is 108 cans?
400
2/3 divided by 1/2
What is 4/3? (Did you remember that to divide fractions you have to multiply by the reciprocal?)
400
2/10 as a percentage
What is 20%?
400
The measurement of all the lines around the outside of an object but not the space within it (like measuring a fence)
What is perimeter?
400
5x - 2 = 23
What is 5?
500
Frederickson is back and now he is arguing with Sandy. Sandy says that the ratios 10:20 and 21:42 are not equivalent and do not form a proportion. Frederickson says that they do form a proportion. Who is right?
What is Frederickson? 10:20 and 21:42 form a proportion, which you find when you cross multiply and get the same product of 420 across both diagonals.
500
2 divided by 3
What is .666666666666666666? (Yay for repeating decimals!)
500
You have 6 green M&Ms in your bag of 30 M&Ms. What percentage of your M&Ms are green?
What is 20%? (6 divided by 30 gives you .2 and then you move the decimal point over two places.)
500
The property that states that you can "share" a number outside of parentheses into the parentheses, as long as you give it to everyone. Example: 2(3 + 4) = (6 + 8)
What is the Distributive Property? (Remember the friendship bracelets!)
500
4 - (-x) = 7
What is 3?
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