Ratios
If three things are in a ratio of 5:9:11, what does the total number of things have to be a multiple of?
If the number of things represented by the 5 doubles, can you represent the new ratio as 10:9:11?
If you add 6 things to the the number of things represented by the 9, can you represent the new ratio as 5:15:11?
If the number of things represented by the 9 is reduced by one-third, can you represent the new ratio as 5:7:11?
Exponents
(x2)*(x3) =
(x8)/(x2) =
(x3)2 =
x-6 =
Parallelograms
What is the formula for the area of parallelogram?
What things do you know to be true about a parallelogram?
What do you know about the area of a parallelogram versus the product of its sides?
Is a square always a parallelogram?
Is a parallelogram always a square?
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Ratios
ReplyDeleteIf three things are in a ratio of 5:9:11, what does the total number of things have to be a multiple of?
25 (the sum of the numbers)
If the number of things represented by the 5 doubles, can you represent the new ratio as 10:9:11?
Yes, multiplication and division are okay
If you add 6 things to the the number of things represented by the 9, can you represent the new ratio as 5:15:11?
No, not unless you know the absolute number
If the number of things represented by the 9 is reduced by one-third, can you represent the new ratio as 5:7:11?
No, but you could represent it by 5:6:11
17. Exponents
(x2)*(x3) = x5 (Add the exponents)
(x8)/(x2) = x6 (Subtract the exponents)
(x3)2 = x6 (Multiply the exponents)
x-6 = 1/x6
18. Parallelograms
What is the formula for the area of parallelogram?
Base * Height (Not Side * Side)
What things do you know to be true about a parallelogram?
Opposite angles are equal, opposite sides are equal, sides are parallel, interior angles equal 360
What do you know about the area of a parallelogram versus the product of its sides?
The area will always be less than the product of the sides (because the height of of the parallelogram will always be less than the length of the sides).
Is a square always a parallelogram?
Yes
Is a parallelogram always a square?
No