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Level 204

Unit Rate & Problem Solving


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Rational Number
Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.
expression
A mathematical phrase without an equal sign.
Equation
A mathematical sentence that contains an equals sign
area
the surface; Length x Width
perimeter
The distance around a geometric figure.
Congruent
A plane figure with the same size and shape.
isosceles triangle
Triangle with 2 equal sides and 2 equal angles.
Scalene Triangle
A triangle with no congruent sides
composite figure
a figure made up of two or more figures
unit rate
A rate with the denominator of 1.
ratio
A comparison of two quantities, also know as fancy word for fraction.
proportion
An equation that states that two ratios are equal.
decimal
a number with one or more digits to the right of the decimal point
fraction
a part of a whole
percent
/ division
lateral surface area
The sum of all the areas of the faces of a 3D solid except the bases
total surface area
The sum of all the areas of the faces of a 3D solid
b
the area of the base of a solid figure
p
the perimeter of the base of a solid figure
polygon
a closed figure made by joining line segments where each line segment intersects exactly 2 others
3n / 4n = 3/4
There are 3 times as many boys as girls in a class. What is the ratio of boys to the total number of students? Let n = the number of girls
Inputs: Time, work, money
What are the most frequent quantities used as inputs in math problems? Frequent quantities used as outputs?
A ratio
What is signified by the word per in a word problem?
speed x time = distance
What is the fundamental relationship of a distance problem?
What is the fundamental relationship of a mixture problem?
concentration x amount of solution = amount of ingredient
What is the fundamental relationship of a cost problem?
price per item x number of items = value of items
rate x time = work done
What is the fundamental relationship of a work problem?
Proportion formula
Numerators must be reflected in the same unit/measurment and the same for the denominators (A units/B units = A units/B units)