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Definition: a space that is most
commonly measured by degrees
between two intersecting lines at a
surface close to the point they meet.
A right angle.
1. Adding up all angles in a 3
sided shape aka Triangle will
make up to 180º
2. Adding up all angles in a 4
sided shape/ square/
rectangle/
parallelogram/quadrilateral will
make up to 360º
3. If measurements of all angles
Complementary angles.
are same in any shape, lengths
of all sides in the shape would
be same. (all sides are equal in
equilateral triangle, all side are
same in a square, etc.)
4. A right angle (90º) is denoted by
a square mark
5. If two angles add up to 180º
then they are supplementary
angles.
Supplementary angles.
Bisection is the division of
something into two equal
or congruent parts. This
division is done by a line
usually called a bisector.
Common bisectors include
perpendicular bisectors
and segment bisectors.
https://www.khanacademy.org/math
/geometry/triangleproperties/perpendicular_bisectors/v
/three-points-defining-a-circle
Perpendicular bisector.
1.
2.
3.
4.
The full arc of a circle measures 360 degrees.
An arc is part of the circumference.
A chord is a straight line joining two points on a circle.
A tangent is a straight line that touches a single point of a
circle.
5. A sector is the region between an arc and two radii.
Exponent laws are there to help us solve several
problems involving exponents. They allow us to take
shortcuts rather than do the long math that would
otherwise be required.
A few examples:
Multiplication Law: If the bases are the same, then all you have to
do is add the exponents. The sum is the new exponent.
Power of a Power Law: If there is more than one exponent, all
you have to do is multiply them. The product is the new exponent.
Division Law: If the bases are the same, all you have to do is
subtract the exponents, your difference is your new exponent.
1.
2.
3.
4.
5.
6.
7.
8.
A fraction is a numerical representation of part(s) of a whole.
Top is the numerator, bottom is the denominator.
Adding and subtraction of fractions require a common denominator.
Multiplication and division of fractions do not require a common denominator.
A proper fraction is a fraction with a numerator that is lesser than the denominator.
An improper fraction is a fraction with a numerator greater than the denominator.
Mixed numbers are whole numbers and proper fractions added together.
A fraction multiplied by its reciprocal equals 1.
raphing
A graph is a diagram that visually
depicts the relationship between two
or more variable quantities. Graphs
help us organize everyday data into
something more easily decipherable
for the general public.
The hypotenuse is the longest side of a
right angled triangle.
The hypotenuse can be instrumental as
it is used in the Pythagorean Theorem.
If the length of the legs squared do
equal to the length of the hypotenuse
squared, then it can identify the
triangle as a right triangle.
Integers are like whole numbers but
include negative numbers as well.
They represent things like depth,
altitude, money, and rates well
because integers can represent two
values: positive and negative.
A few examples of
graphs.
When multiplying fractions, our
teacher gave us a very helpful hint.
Just do it. No need to worry about
cross multiplying or anything else,
just treat as if it were nothing more
than a multiplication question, just
remember to put it in lowest terms!
1)
2)
3)
4)
5)
6)
1/5
7/36
3/14
5/48
6/15
1/44
inear relations
Linear relations generally consist of
being able to write an equation (a
linear equation) and then being able
to represent that equation on a
graph, with all points for any one
equation remaining on the same
lines.
This was my linear relations project
from a while back. It’s a good
example because it shows how I can
graph my equations.
ultiplication
The process of adding a number to itself a certain number of
times: exponents
The act of increasing a number by a set amount of times:
multiplication
A number line is a straight line on which every
point corresponds to a real number. Number
lines are most commonly used with integers as
it can visually depict the positives and the
negatives and show how they mirror one
another. (Opposites.)
pposites
Opposites, in terms of math, are two or more variables
that are of opposing values. This is seen in positives and
negatives. Within integers, these numbers cancel each
other out. Algebraically, they are similar in that they form
zero pairs.
x
Multiplication is one of the
fundamental operations that we will
use all throughout life. It is a very
important skill as it helps us with
everyday things like handling money.
Generally, numbers drop into the
negatives towards the left, while
numbers rise into the positive
towards the right.
olynomials
A polynomials can consist of the
following parts:
Polynomials can be combined by
addition, subtraction, multiplication
and division, though not division by a
variable. Polynomials have many
terms while monomials have one and
binomials have two.
Constants
Variables
Exponents
Quotients
A quotient is a mathematical answer
to a division question.
ationality
A rational number is basically any
number that can be written as a
fraction. This means a lot of numbers
are rational numbers with the
exception of numbers like square
roots and pi.
Symmetry is achieved when a figure
can be cut in half and has both sides
mirroring one another. There are
different kinds of lines of symmetry,
which is how the shape is cut:
vertical, horizontal and oblique.
1. Triangles always equal 180 degrees.
2. Triangles always have three sides.
3. Equilateral triangles have equal sides and
angles.
4. Isosceles triangles have two equal sides and
angles.
5. Scalene triangles have no equal sides or
angles.
6. A triangle has two legs and a hypotenuse, all
are needed for the Pythagorean Theorem.
Unlike terms:
- These are terms in algebra whose variables (and their exponents such as 2
in x2) aren’t the same. However, coefficient (the number you multiply by,
such as “3” in 3x2) does not interfere whether or term is “like” or “unlike”.
ariable
1. A symbol, usually a letter,
that represents a quantity.
2. Number next to a variable is
known as a coefficient.
3. Unspecified term.
Width:
-
The measurement of the extent of something from side to side. It is usually the
minimum distance between two parallel lines, planes, or hyper planes that enclosure a
given shape.
X-axis:
The horizontal axis of a twodimensional plot in Cartesian
coordinates that is always oriented
to be pointing to the right.
Y-axis:
The vertical axis of a two-dimensional
plot in Cartesian coordinates.
Zero is a number that belongs entirely
in its own league. It is fundamental to
math as it represents an additive
identity to many numbers, it is the
foundation of all numbers. It also has
a myriad of exceptions to it, a few
being:
Anything multiplied by zero will yield
a product of zero.
You cannot divide by zero.