3’s and 4’s

Question Answer
3×3 9
3×4 12
3×5 15
3×6 18
3×7 21
3×8 24
3×9 27
3×10 30
3×11 33
3×12 36
4×2 8
4×3 12
4×4 16
4×5 20
4×6 24
4×7 28
4×8 32
4×9 36
4×10 40
4×11 44
4×12 48

Proportional Reasoning with Percents

Term Definition
numerator The part of the fraction that is placed on top of the fraction bar and tells us how many of the parts of the whole are being dealt with.
denominator The part of the fraction that is placed below the fraction bar that tells us how many equal parts the whole is divided into.
decimal number A number that uses a decimal point followed by digits to the right.
fraction rational number expressed as a/b where b does not equal zero
percent A ratio comparing a number to 100.
estimate A close guess of the actual value, usually with some thought or calculation involved.
determine To figure out or settle a question.
solution The act of solving a problem or question.
percent change The amount stated as a percent in which a quantity increases or decreases.
percent decrease A percent change describing a decrease in a quantity.
percent increase A percent change describing an increase in a quantity.
markup The amount added to the cost price of goods to cover overhead and profit.
retail price The total amount charged for a product sold to a customer, which includes the manufacturer's cost plus seller markup.
commission A fee paid to a person for making a sale.
commission rate The fee paid to a person who makes a sale expressed as a percent of the selling price.
sales tax A rate in which a government entity require on the monetary exchange of goods or services.
revenue The total amount of money brought in, income.
profit The difference between the income and the amount spent in buying, operating, or producing something.
interest The amount of money charged for borrowing or using money.
simple interest One type of fee paid for the use of money in which there is a fixed percent of the principal and is found using the formula I=prt.
principal The initial amount of money borrowed or saved.
rate of interest The percent charged or earned on an amount of money.

Proportional Relationships

Term Definition
coordinate plane A plane containing a horizontal number line, x-axis, and a vertical number line, y-axis, that intersect at their zero points called the origin.
x-axis The horizontal axis in a coordinate plane.
y-axis The vertical axis in a coordinate plane.
origin The intersection of the x-axis and y-axis in a coordinate plane that has the coordinates (0,0).
quadrant One of the four regions into which the x-axis and y-axis divide the coordinate plane.
ordered pair A pair of numbers that can be used to locate a point on a coordinate plane.
interpret Explain the meaning of.
relate A component of a given set is associated with a component of another set.
proportional When two quantities always have the same relative size and therefore the same ratio.
equivalent Equal in value.
unit rate A ratio in which the second term's quantity is ONE unit.
constant rate of proportionality The constant value of the ratio of two proportional quantities.
constant Occurring continuously over a period of time.
diagram A drawing used to describe something.
variable A letter or symbol used to represent an unknown quantity.
substitute Placing a number in place of a variable.
direct variation Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other variable.
predict To estimate that a specific thing will happen in the future or will be a consequence of something.

Solving Equations

Term Definition
distributive property The property that states if you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products.
commutative property The property that states two or more numbers can be added or multiplied in any order without changing the sum or product.
Equivalent Equal to
Algebraic Expression An expression that contains at least one variable
Factor Integers you can multiply together to get a product.
Combining Putting together.
Like Terms Terms whose variables and exponents are the same.
Strategize To make a plan for achieving a goal.
Justify To show or prove to be right or reasonable.
Equation A mathematical sentence that shows two expressions are equal.
Order of Operations A rule for evaluating expressions
Solution A number that makes an equation true when it is substituted for the variable.
Inverse The operation that reverse the effect of another operation.
Each A key word for division that indicates a quantity to, for, or by every one of a group.
Total A solution to an addition problem.
Evenly A key word for division that indicates equal amounts.
Increase A key word for addition that indicates to add a quantity to another.
Twice A key word to multiply a quantity by two.
Less A key word to subtract that indicates to decrease a quantity by another quantity.
Times A key word to multiply a quantity by another quantity.

Solving Equations and Inequalities

Term Definition
Inequality States that two quantities either are not equal or may not be equal. Uses one of the following symbols: >, ?, <, ?
Real Number A number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator, a repeating or terminating decimal, or an integer.
Coefficient A number that is multiplied by a variable in an algebraic expression.
Solution Set All of the possible values for an inequality.
Reverse Going in or turned toward the direction opposite to that previously stated.
Flip Turn over.
Basic Number Properties Three basic properties of numbers, Associative Property, Commutative Property, and Distributive Property, that allow to rearrange to numbers to find solutions, however the solution is the same regardless of the order the numbers are arranged.
Isolate To set apart from others.
More Than A quantity meaning greater in size or amount.
At Least Not less than, the minimum.
Approaching Come near or nearer to someone or something in distance.
At Most Not more than.
No More Than Less than or equal to a quantity.
No Less Than More than or equal to a quantity.

Scale Drawings

Term Definition
similar Figures with the same shape (angle measures) and different, but proportional side lengths.
corresponding sides Sides in the same relative position in two different polygons that have the same number of sides.
corresponding angles Angles in the same relative position in two different polygons that have the same number of angles.
proportional Figures have equal ratios in corresponding sides.
Indirect Measurement A method of measuring an object by using formulas, similar figures, and/or proportions.
Scale The ratio between two sets of measurements.
Scale Drawing A drawing that uses a scale to make an object smaller than (reduction) or larger than (enlargement) the real object.
Scale Factor The ratio used to enlarge or reduce similar figures.
Scale Model A proportional model of a three-dimensional object.

Probability of Simple Events

Term Definition
Probability The measure of how likely the event is to occur.
Experiment An activity involving chance.
Trial Each repetition or observation of an experiment.
Outcome The result of a trial.
Event A set of one or more outcomes.
Likely An event that has a probability to occur more than 1/2, but less than 1.
Unlikely An event that has a probability to occur more than 0, but less than 1/2.
Certain An event that has a probability of 1 to occur, or 100%.
Impossible An event that has a probability of 0 to occur.
As Likely As Not An event that has a probability of 1/2 to occur, or 50%.
Theoretical Probability Used to find the probability of an event when all outcomes are equally likely. This is used to make predictions BEFORE performing an experiment.
Complement The set of all outcomes that are NOT the event.
Experimental Probability The probability of an event based on what has already happened.
Independent Events the result of the second event is not affected by the result of the first event.
Dependent Events the probability of one event occurring influences the likelihood of the other event.

Probability of Compound Events

Term Definition
Independent Events Two events are said to be independent if the result of the second event is not affected by the result of the first event.
Dependent Events Two events are said to be dependent when the probability of one event occurring influences the likelihood of the other event.
Compound Events Involving two or more simple events.
Table Arrangement to organize data in columns and rows.
Sum The result of adding two or more numbers.
Product The result of multiplying two or more numbers.
Organized List An orderly arrangement of numeric or descriptive data used to solve a problem.
Tree Diagram A branching diagram that shows all possible combinations or outcomes of an event.
Simulation A method of solving a problem by carrying out an experiment that is similar to the problem needed to be solved.

2’s and 3’s

Question Answer
2×0 0
2×1 2
2×2 4
2×3 6
2×4 8
2×5 10
2×6 12
2×7 14
2×8 16
2×9 18
2×10 20
2×11 22
2×12 24
3×0 0
3×1 3
3×2 6
3×3 9
3×4 12
3×5 15
3×6 18
3×7 21
3×8 24
3×9 27
3×10 30
3×11 33
3×12 36