HOMEWORK HELPER













The distance all around a circle is called the Circumference and is referred to
in formulas as C. The distance from one side of the circle to the other is
referred to as the Diameter of a circle and is identified as a d in formulas. The
Radius of a circle is the distance from the center of the circle to the outside
edge. Thus the diameter of the circle is twice the size of the radius of a circle.
The Area of a circle refers to the number of square units within the circle.

If you know the area, diameter or the circumference, you will be able to use
this tool to determine the missing values. Some formulas worth know are:

Circumference = Pi (3.14) times Diameter (C=pD)

Diameter = 2 times the Radius (D=2R)

Area = Pi times the radius squared (A=pr2)
Use these sites for everyday practice and
also to prep for the upcoming Math TAKS
  

Angle - Angles are formed by two rays that begin at the same point.
Obtuse Angle - An angle having a measure greater than 90° and up to 180°.

Obtuse Triangle - A triangle with at least one obtuse angle as described
above.

Octagon - A polygon with 8 sides.

Odds - The ratio/likelihood of an event in probability happening. The odds of
flipping a coin and having it land on heads has a 1-2 chance.

Odd Number - A whole number that is not divisible by 2.

Operation - Refers to either addition, subtraction, multiplication or division
which are called the four operations in mathematics or arithmetic.

Order of Operations - A set of rules used to solve mathematical problems.
BEDMAS is often the acronym used to remember the order of operations.
BEDMAS stands for 'brackets, exponents, divison, multiplication, addition and
subtraction.

Parralellogram - A quadrilateral that has both sets of opposite sides that are
parallel.

Pentagon - A five sided polygon. Regular pentagons have five equal sides
and five equal angles.

Percent - A ratio or fraction in which the second term on denominator is
always 100.

Perimeter - The total distance around the outside of a polygon. The total
distance around is obtained by adding tegether the units of measure from
each side.

Perpendicular - When two lines or line segments intersect and form right
angles.

Pi p - The symbol for Pi is actually a greek letter. Pi is used to represent the
ratio of a circumference of a circle to its diameter.

Plane - When a set of points joined together form a flat surface, the plan can
extend without end in all directions.

Polygon - Line segments joined together to form a closed figure. Rectangles,
squares, pentagons are all examples of polygons.

Prime Numbers - Prime numbers are integers that are greater than 1 and are
only divisible by themselves and 1.

Probability - The likelihood of an event happening.

Product - The sum obtained when any two or more numbers are multiplied
together.

Proper Fraction - A fraction where the denominator is greater than the
numerator.

Protractor - A semi-circle device used for measuring angles. The edge is
subdivided into degrees.

Quotient - The solution to a division problem
Angle - Angles are formed by two rays that begin at the same point.

Area - The space measured in square units that any 2 dimensional shape or
polygon occupies.

Arithmetic - A branch of mathematics usually concerned with the four
operations (adding, subtracting, multiplication and division) of positive
numbers.

Array - A set of numbers that will follow a specific pattern. An orderly
arrangement often in rows, columns or a matrix.

Attribute - A characteristic to describe an object usually within a pattern. The
attribute usually refers to the shape, size, or color.

Average - The middle or most common in a set of data. There are three types
of average in mathematics - the mean, the median and the mode.

Bar Graph - A visual representation of horizontal and vertical bars or lines to
represent data.
Exponent - The number that gives reference to the repeated multiplication
required. The exponent of 34 is the 4.

Expressions - Symbols that represent numbers or operations. A way of
writing something that uses numbers and symbols.

Equaliteral - All sides are equal.

Equation - A statement showing the equality of two expressions usually
separated by left and right signs and joined by an equals sign.

Even Number - A number that can be divided or is divisible by 2.

Edge - A line that joins a polygon or the line (edge) where two faces meet in a
3 dimensional solid.

Face - The face refers to the shape that is bounded by the edges on a 3
dimensional object.

Factor - A number that will divide into another number exactly. (The factors of
10 are 1, 2 and 5).

Factoring - The process of breaking numbers down into all of their factors.

Factor Tree - A graphical representation showing the factors of a specific
number.
Formula - A rule that describes the relationship of two or more variables. An
equation stating the rule.

Fraction - A way of writing numbers that are not whole numbers. The fraction
is written like 1/2.

Frequency - The number of times an event can happen in a specific period of
times. Often used in probability.

Geometry - The study of lines, angles, shapes and their properties. Geometry
is concerned with physical shapes and the dimensions of the objects.

Greatest Common Factor - The largest number common to each set of
factors that divides both numbers exactly. E.g., the greatest common factor of
10 and 20 is 10.

Hexagon - A six sided and six angled polygon. Hex means 6.
Kilometer - A unit of measure that equals 1000 meters.
Like Fractions - Fractions having the same denominator. (Numerator is the
top, denominator is the bottom)

Line - A straight infinite path joining an infinite number of points. The path can
be infinite in both directions.

Line Segment - A straight path that has a beginning and an end - endpoints.

Line of Symmetry - A line that divides a figure or shape into two parts. The
two shape must equal one another.

Logic - Sound reasoning and the formal laws of reasoning.

Mean - The mean is the same as the average. Add up the series of numbers
and divide the sum by the number of values.

Median - The Median is the 'middle value' in your list or series of numbers.
When the totals of the list are odd, the median is the middle entry in the list
after sorting the list into increasing order. When the totals of the list are even,
the median is equal to the sum of the two middle (after sorting the list into
increasing order) numbers divided by two.
Mixed Numbers - Mixed numbers refer to whole numbers with fractions or
decimals. Example 3 1/2 or 3.5.

Mode - The mode in a list of numbers refers to the list of numbers that occur
most frequently. A trick to remember this one is to remember that mode starts
with the same first two letters that most does. Most frequently - Mode.
Multiple - The multiple of a number is the product of the number and any other
whole number. (2,4,6,8 are multiples of 2)

Multiplication - Often referred to as 'fast adding'. Multiplication is the
repeated addition of the same number 4x3 is the same as saying 3+3+3+3.

Numerator - The top number in a fraction. In 1/2, 1 is the numerator and 2 is
the denomenator. The numerator is the portion of the denominator.

Number Line - A line in which points all correspond to numbers.

Obtuse Angle - An angle having a measure greater than 90° and up to 180°.

Obtuse Triangle - A triangle with at least one obtuse angle as described
above.

Octagon - A polygon with 8 sides.

Odds - The ratio/likelihood of an event in probability happening. The odds of
flipping a coin and having it land on heads has a 1-2 chance.

Odd Number - A whole number that is not divisible by 2.

Operation - Refers to either addition, subtraction, multiplication or division
which are called the four operations in mathematics or arithmetic.

Ordinal - Ordinal numbers refer to the position: first, second, third etc.

Pentagon - A five sided polygon. Regular pentagons have five equal sides
and five equal angles.

Percent - A ratio or fraction in which the second term on denominator is
always 100.

Perimeter - The total distance around the outside of a polygon. The total
distance around is obtained by adding tegether the units of measure from
each side.

Perpendicular - When two lines or line segments intersect and form right
angles.

Pi   - The symbol for Pi is actually a greek letter. Pi is used to represent the
ratio of a circumference of a circle to its diameter.

Plane - When a set of points joined together form a flat surface, the plan can
extend without end in all directions.

Polygon - Line segments joined together to form a closed figure. Rectangles,
squares, pentagons are all examples of polygons.

Prime Numbers - Prime numbers are integers that are greater than 1 and are
only divisible by themselves and 1.

Probability - The likelihood of an event happening.

Product - The sum obtained when any two or more numbers are multiplied
together.

Proper Fraction - A fraction where the denominator is greater than the
numerator.

Protractor - A semi-circle device used for measuring angles. The edge is
subdivided into degrees.


Numeral - A written symbol referring to a number

Radius - A line segment from the center of a circle to any point on the circle.
Or the line from the center of a spere to any point on the outside edge of the
sphere. The radius is the distance from the center of a circle/sphere to the
outside edge.

Ratio - The relation between to quantities. Ratios can be expressed in words,
fractions, decimals or percents. E.g., the ratio given when a team wins 4 out of
6 games can be said a 4:6 or four out of six or 4/6.

Ray - A straight line with one endpoint. The line extends infinitely.

Range - The difference between the maximum and the minimum in a set of
data.

Rectangle - A parallelogram which has four right angles.

Repeating Decimal - A decimal with endlessly repeating digits. E.g., 88
divided by 33 will give a 2.6666666666666

Reflection - A mirror image of a shape or an object. Obtained from flipping
the image/object.

Remainder - The number that is left over when the number cannot be divided
evenly into the number.

Right Angle - An angle that is 90°.

Right Triangle - A triangle having one angle equal to 90°.

Rhombus - A parallelogram with four equal sides, sides are all the same
length.

Square Root- The square root of a number iis the number that can be divided
to get X. E.g., the square root of 144 is 12.

Stem and Leaf - A graphic organizer to organize and compare data. Similar to
a histogram, organizes intervals or groups of data.

Subtraction - The operation of finding the difference between two numbers or
quantities. A process of 'taking away'.

Supplementary Angles - Two angles are supplementary if their sum totals
180°.

Symmetry - Two halves which match perfectly.

Translation - A term used in geometry. Often called a slide. The figure or
shape is moved from each point of the figure/shape in the same direction and
distance.

Tree Diagram - Used in probability to show all of the possible outcomes or
combinations of an event.

Triangle - Three sided polygon.

Unit - A standard quantity used in measurement. An inch is a unit of length, a
centimeter is a unit of length a pound is a unit of weight.
Vertex- A point of intersection where two (or more) rays meet, often called the
corner. Wherever sides or edges meet on polygons or shapes. The point of a
cone, the corners of cubes or squares.
Whole Number - A whole number doesn't contain a fraction. A whole number is
a positive integer which has 1 or more units and can be positive or negative

5TH GRADE MATH DEFINITIONS

JUST CLICK!
TO PRACTICE ALL OF YOUR 5th
GRADE MATH SKILL
Scroll down for Math Definitions

Area:     
Circumference:     

All about Circles - Tutorial
From Deb Russell,
Your Guide to Mathematics.
FREE Newsletter.