100 Math Facts

Sum

Answer to an addition problem

Difference

Answer to a subtraction problem

Product

Answer to a multiplication problem

Quotient

Answer to a division problem

Operations

Addition, subtraction, multiplication, and division

Order of Operations

Rules to follow when more than one operation is given

Equation

Mathematical sentence containing an equal sign

Variable

A symbol, usually a letter, used to represent an unknown number. A variable next to a number or other variable indicates multiplication.

Evaluate

Find the value of an equation; to find the solution

Exponent

In powers, the number of times the base is used as a factor.

Squared

A number multiplied by itself; a number to the second power.

Cubed

A number to the third power.

Place Value

A system for writing numbers in which the position of the digit determines its value. Tens ones tenths hundredths thousandths

Rounding

To help estimate: look to the right of the digit being rounded; if it is 0,1,2,3, or 4 it stays the same; if it is 5 or up, it rounds up one digit.

Terminating Decimal

A decimal whose digits end. It can be written as a fraction with a denominator that is a power of ten (10, 100, 1,000...).

Repeating Decimal

A decimal whose digits continue in groups of one or more. We use bar notation to show the digits that repeat.

Factors

Numbers that divide into a whole number evenly.

Prime Numbers

Numbers with only 2 factors: one and itself. There are 25 between 1 and 100. 1 is a unique number.

Composite Numbers

A number with more than 2 factors.

Prime Factorization

Breaking a number down to its prime factors; factor tree.

Greatest Common Factor

The largest factor 2 or more numbers have in common. Use to reduce fractions.

Numerator

The number of parts being discussed in a fraction. The top of a fraction.

Denominator

The number of parts the whole was divided into. The bottom of a fraction.

Ratio

A comparison of two things. They can be written several ways. They are always reduced.

Equivalent Fractions

Fractions that name the same amount.

Simplest Form

When a fraction is reduced; GCF of numerator and denominator is 1.

Mixed Number

A whole number and fraction combined.

Improper Fraction

Fraction with a numerator larger than the denominator.

Multiple

The product of a number and any whole number. The first 5 multiples of 4 are 4, 8, 12, 16 and 20.

Least Common Multiple

Smallest number 2 or more numbers can divide into. Find the LCM when adding or subtracting unlike denominators.

Reciprocal

Any two fractions whose product is 1. Any fraction multiplied by itself upside down is 1.

Proportions

An equation showing two equal ratios.

Percent

A ratio with a denominator of 100; "out of 100

Scale Drawing

A drawing similar, but larger or smaller than the actual object.

Angles

Formed by two rays with a common endpoint.

Acute Angles

An angle that measures less than 90 degrees.

Obtuse Angles

An angle that measures greater than 90 degrees, but less than 180 degrees. 180 degrees is a straight line.

Right Angles

An angle measuring exactly 90 degrees.

Line of Symmetry

A line that divides a figure into two halves that reflect each other.

Transformation

Movement of geometric figures to new points on a coordinate system. There are 3 types.

Reflection

A type of transformation in which the figure is flipped over the line of symmetry. It looks like a mirror image.

Rotation

A type of transformation in which the figure is turned.

Translation

A type of transformation in which the figure is slid vertically, horizontally or both.

Congruent Figures

Figures that are exactly the same size and shape.

Similar Figures

Figures that are the same shape, but different sizes.

Polygons

Closed flat figures with at least three straight sides. Polygons are named the number of sides.

Triangle

A three sided polygon.

Scalene Triangle

A triangle with no congruent sides or angles.

Isosceles Triangle

A triangle with at least 2 congruent sides.

Right Triangle

A triangle with one 90 degree angle.

Acute Triangle

A triangle with three acute angles.

Obtuse Triangle

A triangle with one obtuse angle.

Equilateral Triangle

A triangle with three equal sides and angles.

Quadrilateral

A polygon with four sides.

Square

A quadrilateral with four equal sides and angles.

Rectangle

A quadrilateral with 4 right angles and opposite sides equal and parallel.

Parallelogram

A quadrilateral with opposite sides parallel and opposite angles congruent.

Trapezoid

A quadrilateral with only 2 parallel sides.

Pentagon

A five sided polygon.

Hexagon

A six sided polygon.

Octagon

An eight sided polygon.

Decagon

A ten sided polygon.

Regular Polygons

Polygons with congruent sides and angles.

Perimeter

The distance around a polygon.

Area

The amount of square units needed to cover a polygon. The "inside" of a polygon. Area is expressed in square units.

Circle

Set of all points in this figure are equal parts from the center.

Radius

A line segment from the center of the circle to the outside edge. The radius is half the diameter.

Diameter

A line segment through the center of the circle from one side to the other. The diameter is twice the radius and about 1/3 the circumference.

Chord

A line segment from one part of the circle to another, but not necessarily through the center.

Circumference

The distance around the circle. The circumference is about 3 times as big as the diameter.

Polyhedrons

Three-dimensional figures. Polyhedrons are named by their polygon bases.

Prisms

Polyhedrons with 2 bases.

Pyramids

Polyhedrons with only one base and triangular sides.

Volume

The amount of space that a three dimensional figure contains. Volume is expressed in cubic units.

Face

The flat surfaces of a three dimensional figure.

Edge

The intersection of faces of a three dimensional figure.

Vertices

The points where two sides of a polygon meet. Also the point where two rays meet to form an angle.

Line

A line that continues in both directions. Lines are drawn with arrows at both ends.

Line Segment

Part of a line with two endpoints.

Ray

A line with one endpoint, but continues in the other direction.

Parallel

Two lines that run side by side, but will never intersect. Parallel lines remain equal distances apart.

Perpendicular

Lines that intersect at a right angle.

Surface Area

The sum of the areas of all the surfaces of a three dimensional figure.

Frequency Table

A table for organizing a set of data that shows the number of times each item or number appears.

Interval

The space between values on a scale on a graph.

Bar Graph

A graph using bars to compare quantities.

Line Graph

A graph used to show change and direction of change over a period of time.

Circle Graph

A graph used to compare parts of a whole. The circle represents the whole and is divided into its parts.

Stem-and-Leaf Plot

System used to condense a set of data where the greatest place value forms the stem and the next greatest forms the leaves.

Mean

The average of a set of data.

Median

The middle number in a set of data arranged from least to greatest.

Mode

The number(s) that appear most in a set of data. There is not always a mode.

Range

The difference between the largest and the smallest number in a set of data.

Theoretical Probability

The ratio of the number of ways an event can occur to the number of possible outcomes. The "chance" of something happening.

Outcomes

Possible results of a probability event.

Combinations

A listing of objects when order is NOT important.

Independent Events

Two or more events in which the outcome of one event does not affect the outcome of the other event.

Integers

The whole numbers and their opposites. Positive & negative whole numbers
...-3,-2,-1,0,1,2,3...

Coordinate system

A plane in which horizontal and vertical number lines intersect at their zero points. This point of intersection is called the origin.

Ordered Pair

A pair of numbers used to locate a point in the coordinate system. Pairs are written in this form: (x coordinate, y coordinate)