Math

How do you divide decimals?

• Remove decimal on denominator; line up decimals if any

How do you divide a smaller number by a larger number?

• Place a decimal after adding a zero

How do you multiply decimals?

• Remove decimals; match the number of decimal places to the final answer

What does PEMDAS stand for? In what direction of the equation does it apply?

• P: Parenthesis (within)

• E: Exponents

• M: Multiplication

• D: Division

• A: Adding

• S: Subtraction

Perform M & D and A & S from L to R of the equation

What is a rational number? Examples?

• A simple ratio or fraction of 2 integers; denominator cannot be 0

3/4, 4.5, 0.25, 1/3 (repeating)

What is an irrational number? Examples?

• Not a simple ratio of 2 integers; no repeating decimals

pi, 1.41421356

What is the formula for probability?

• P(A) = (Number of Outcomes we Want)/(Total # of Possible Outcomes)

What does “AND” and “EITHER” mean for probability?

• AND: multiply both probabilities

• EITHER: add probability

When doing draws for probability, what must you do for each draw?

• 1st draw: regular ratio x/x

• 2nd draw: remove number(s)

What are the units that could possibly be used for length?

• meter

• cm

• mm

• km

What object is the relative length of a cm? A mm?

• cm; paperclip

• mm; grain of rice

What are the possible units for weight?

• gram

• mg

• kg

What object is the relative weight of a gram? mg?

• gram; paperclip

• mg; pinch of salt

What are the possible units for capacity?

• liter

• mL

• kL

What object has the relative capacity of a liter? mL?

• liter; large water bottle

• mL; dropper

What is the mean? Median?

• Mean: the average

• Median: middle number

What is the mode versus the range?

• Mode: most frequent number in data set

• Range: difference between smallest and largest number

What is a symmetric or unimodal shape of distribution?

• One peak in the middle

What is a bimodal shape of distribution?

• Two peaks

What is a uniform shape of distribtuion?

• Consistent and unchanging pattern across

What is left skewed versus right skewed shape of distribtuion?

• Left skewed; peak is on the right

• Right skewed; peak is on the left

look at FEET

What is the equation for direct proportionality?

• y=kx

straight line

What is the equation for indirect proportionality?

• y=mx + b

curved line

Is the x or y on the graph the independent or dependent variable?

• x; independent

• y; dependent

What is the difference between perimeter and area?

• Perimeter: distance around shape

• Area: region within shape

What is the formula for perimeter and area for squares/rectangles?

• Perimeter: add all 4 sides

• Area: l x w

What is the formula for circumference of a circle?

• c = π x d

What is the formula for area of a circle?

• a = π x r²

What is the formula for the area of a triangle?

• a = ½ (b x h)

What is the formula for the area of a parallelogram?

• A=b x h

What is the formula for the area of a trapezoid?

• A = ((B1 + B2)H)/2

What are the types of relationships for linear graphs?

• y = kx

• y = k/x

What is the formula for the volume of square prism?

• v = l x w x h

What is the formula for the volume of triangular prism?

• v = ½ (b x h x l)

What is the formula for the volume of cylinder?

• v = π x r²h

What is the formula for the volume of a cone?

• v = πr²h/3

What is the formula for the volume of a rectangular pyramid?

• v = (l x w x h)/3

What is the formula for the volume of a sphere?

• 4/3 π x r³

What is the distance rate formula?

• Rate

• Distance

• Time

Distance = rate x time

What are the types of equations on the graph?

• Linear

• Exponential

• Quadratic

What is the equation of a line for linear?

• y = mx + b

What is the equation of a line for exponential?

• y = a (b)^x

What is the equation of a line for quadratic?

• y = ax² + bx + c

What is 1 foot in inches?

• 1 foot = 12 inches

What is 1 yard in feet? In inches?

• 1 yd = 3 ff = 36 inches

What is 1 mile in yards? Feet?

• 1 mile = 1760 yd = 5280 ft

What is 1 pound in ounces?

• 1 pd = 16 oz

What is capacity measured in?

• Liquid; gallon, quarts, pints, cups

What is the visual to remember for capcity?

• The big G

1 Gallon =

4 Quarts=

8 Pints =

16 cups

What is 1 tablespoon in teaspoons?

• 1 tablespoon = 3 teaspoons

What is 1 fl oz in tablespoons?

• 1 fl oz = 2 tablespoons

What is 1 cup in fl oz?

• 1 cup = 8 fl oz

What is 1 kg in pounds?

• 1 kg = 2.2 lbs

What is 1 inch in cm?

• 1 inch = 2.54 cm

What is 1 m in feet?

• 1 m = 3.28 ft

What is 1 oz in grams?

• 1 oz = 28.35 g

What is mile in km?

• 1 mile = 1.6 km

What is the formula for the pythagorean theorem?

Right triangle

• a² + b² = c² (hypotenuse)