Area/Surface Area
What is a quadrilateral?
A shape with 4 sides.
quad = 4
What is a ratio? Give an example!
An association of 2 or more quantities.
i.e. A brownie mix asks for 2 cups of cocoa and 1 cup of sugar. The ratio of cocoa to sugar is 2:1.
What is a unit rate?
the rate for one of something
Finish the sentence:
To divide by a fraction, here's a tip: ____, ____, ____!
Keep, change, flip!
What is a variable?
an unknown number represented by a letter
How do you find the area of a rectangle?
Are 2:3 and 4:6 equivalent ratios?
Yes! Both sides of the ratio are doubled.
2 x 2 = 4
3 x 2 = 6
Elon and Gamaliel both walk 300 units to get to the school. Elon walks 300 yards and Gamaliel walks 300 miles. Who walked farther?
Gamaliel. Miles are longer than yards.
True or false: As the divisor increases, the quotient decreases.
DIVIDEND ÷ DIVISOR = QUOTIENT
True! As the size of each group increases, the number of groups you need will decrease. Similarly, as the number of groups you have increases, the size of each group will decrease.
In the equation 3y = 15, what operation is happening between 3 and y?
Find the area of a triangle with a base of 4 and height of 6.
A = 1/2 x b x h
12 square units
Give me 2 equivalent ratios to 6:10.
3:5, 9:15, 12:20
Lewis ate 60% of his one cookie. Miss Sam ate 50% of both of her cookies. Who ate more?
Miss Sam ate more.
A stack of books is 72 inches tall. Each book is 2 inches thick. Which expression tells us how many books are in the stack?
a. 72⋅2
b. 72−2
c. 2÷72
d. 72÷2
D
We start off with the total number that we're breaking up (72 inches). Since we are trying to find how many books are in the stack, we need to break up 72 inches into smaller groups, so we need to divide. Because each book is 2 inches thick, we know we need to divide 72 inches into groups of 2 inches.
The equation 𝑎+𝑏=𝑐 could be true or false.
If 𝑎 is 3, 𝑏 is 4, and 𝑐 is 5, is the equation true or false?
False! When we replace each variable with the number they represent, the equation turns into:
3 + 4 = 5
This is not true, because it should equal 7.
What is surface area?
the number of square units that covers all the faces of a 3D shape.
Divide the total cost by the total number of chips.
$6 divided by 4 = $1.50 for each bag
Miss Kira went to get her nails done and had a coupon for 25% off. If her nails originally cost $60, how much do they cost after the coupon?
25% = 0.25
0.25 x $60 = $15
She got $15 off. So $60 - $15 = $45.
She paid $45.
Solve:
1/3 ÷ 4/6
1/3 ÷ 4/6
keep, change, flip
1/3 x 6/4
1 x 6 = 6, 3 x 4 = 12
6/12 = 1/2
Solve:
a + 12 = 17
a + 12 = 17
-12 -12
a = 5
The area of ONE side of a cube is 5 square units. What is the surface area of the cube?
A cube has 6 sides. If each side is 5 square units, you can solve 5 x 6 and get an answer of 30 square units.
If you eat 4 strawberries in 8 minutes, how long will it take you to eat 6 strawberries?
8 minutes divided by 4 strawberries = 2 minutes to eat each strawberry
2 minutes x 6 strawberries = 12 minutes to eat 6 berries
Write 15/25 as a decimal.
15/25 = 30/50 = 60/100 = 0.60
Solve:
2 3/4 ÷ 1 2/4
2 3/4 ÷ 1 2/4
turn into improper fractions
11/4 ÷ 6/4
keep change flip
11/4 x 4/6 = 44/24
Are 𝑥+𝑥+𝑥+𝑥 and 4𝑥 equivalent expressions?
Yes. Multiplication is just repeated addition, so 4 times x is the same thing as x + x + x + x.