## Math words

Term Definition
base when a # is written in exponent form the # used as a factor is the base. 5^4=5*5*5*5
composite A # with more than 2 factors. 24's factors= 1,2,3,4,6,8,12,24
divisible A # that can be divided into by a second # evenly. 16 is divisible by 1,2,4,8,and 16.
exponent It tells how many times the base is multiplied by itself. 3^4= 3*3*3*3
factor A whole number that can divide evenly into another number. 36/3=12
formula It shows up in the relationship between 2 or more factors. P= 2k+2w
greatest common factor The greatest # the two numbers can go into evenly. 12 and 30's GCF=6
least common denominator It is the smallest denominator the fractions will go into evenly. 3/8 and 7/10 would be 40
least common multiple It is the smallest multiple of both #s. 15 and 6 is 30.
multiplicative inverse It is the reciprocal for a #. 4/9 = 9/4
power A # that can be expressed by a base & expontent. 10^2= 10*10
prime factorization Basically it is breaking down a composite # to its prime factors. 12= 2*2*3
prime number It is a # with 2 factors, 1 and itself. 13's prime factors = 1,13
rational number It is a # that can be written in fraction form. 3=3/1
reciprocals It is 2 fractions whos product is 1. 4/9*9/4=1
relatively prime It is a # whos GCF is 1. 1/4,9/10,2/3
repeating decimal It is a decimal with no end but, its decimals repeat indefinately. .888=.8 with a line over it.
scientific notation It shortens a big # into powers, 10,000,000 would be 10^6
terminating decimal It is a decimal the stops or completes. .6 and .555 terminate.

## Chapter 1 and 2 Theorems

Term Definition
If two lines make up exactly one point Then the two lines intersect
Through a line and a point not in a line Then there is exactly one plane
If two lines intersect Then exactly one plane contains the lines
If M is the midpoint of Segment AB Then AM=1/2AB and MB=1/2AB
If Line BX is the bisector of Angle ABC Then Angle ABX=1/2 Angle ABC and Angle XBC=1/2 Angle ABC
If there are two vertical angles Then they are congruent
If two lines are perpendicular Then they form congruent adjacent angles
If two lines form congruent adjacent angles Then the lines are perpendicular
If the exterior sides of two adjacent acute angles are perpendicular Then the angles are complementary
If two angles are supplements or compliments of congruent angles(or of the same angle) Then the two angles are congruent

## Chapter 3 Theorems

Term Definition
If two parallel lines are cut by a third plane Then the lines of intersection are parallel
If two parallel lines are cut by a transversal and alternate interior angles are formed Then they are congruent
If two parallel lines are cut by a transversal and same side interior angles are formed Then they are supplementary
If a transversal is perpendicular to one of two parallel lines Then it is perpendicular to the other one also
If two lines are cut by a transversal and alternate interior angles are congruent or if same side interior angles are supplementary Then the lines are parallel
If two lines are perpendicular to the same line in a plane Then the perpendicular lines are parallel
Through a point outside a line There is exactly one line parallel to and perpendicular to the given line
If two lines are parallel to a third line Then the lines are parallel to each other
The sum of the angles of a triangle 180
The measure of an exterior angle of a triangle Equals the sum of the measures of the two remote interior angles
The sum of the measures of the angles of a convex polygon (n-2)180
The sum of the measures of the exterior angles of any convex polygon 360

Term Definition
LCM 75
HCF 5
15 and 25
LCM 10
HCF 5
5 and 10
LCM 42
HCF 1
6 and 7
LCM 40
HCF 4
8 and 20
LCM 60
HCF 6
12 and 30
LCM 18
HCF 3
9 and 6
LCM 140
HCF 2
14 and 20
LCM 40
HCF 2
10 and 8
LCM 90
HCF 3
9 and 6

## WKCE PREP

MULTIPLICATION

One of the 4 basic operations; repeated addition. e.g. 4 X 3 = four 3's 3+3+3+3
NUMBER SENTENCE an equation or inequality expressed using numbers and common symbols
BELONGS to be a part of
NUMBER PATTERN A sequence of numbers arranged according to some formula. e.g. 1, 2, 4, 7, 11, …
RULE method for performing a mathematical operation
SIGN A conventional figure or device that stands for a word, phrase, or operation; a symbol, as in mathematics
a device that stands for a word, phrase, or operation; a symbol in mathematics
FACES A flat side of a solid figure. e.g. a cube has 6 faces
GRAPH a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
EXPLAIN to assign a meaning to; interpret; o make known in detail
PATTERN BLOCKS geometric manipulatives
MEASURE to estimate the relative amount, value, etc., of, by comparison with some standard
EVENLY equal in measure or quantity
OBJECT an object is just an element of the set of things named objects in the definition of a category ("a category is a collection of objects together with arrows between those objects…").
LEAST smallest in size, amount, degree, etc.; slightes
GROUP any collection or assemblage of persons or things; cluster; aggregation:
NUMBER LINE A line on which real numbers are assigned to points. points to the left of 0 are negative and points to the right are positive.
MODEL a representation, generally in miniature, to show the construction or appearance of something.
CYLINDER A Three dimensional shape with a parallel circle and each end and joined by a curved surface.
SQUARE UNIT A unit for measuring areas, such as square foot, square meter etc.
EQUATION a math sentence using the equals sign between 2 expressions naming the same number
SOLVE to work out the answer or solution to (a mathematical problem)
GEOMETRIC of or pertaining to geometry;resembling figures used in geometry;a geometric pattern, design, etc
SYMMETRY Two halves which match perfectly. 3 kinds of symmetry-line or reflectional, Plane, and Point
LINE SEGMENT A straight path that has a beginning and an end – endpoints. part of a line
ORDERED PAIRS a set of two numbers in which the order has an agreed upon meaning. Such as the cartesian coordinates (x, y), where it is agreed that the first coordinate represents the horizontal position, and the second coordinate represents the vertical position
COORDINATE The ordered pair of a number associated with a point on a graph; (x,y)
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
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.
RANGE The difference between the greatest number and the least number in a set of data
POINT The simplest figure in geometry, pictured by a dot
FIGURE A set of points. Such a set can be line segments, triangles, or other polygons
CENTIMETER A centimeter is a unit of length in the metric system. It is one hundredth of a meter 1cm = 1/100 m
EXACTLY in an exact manner; accurately or precisely
PYRAMID A polyhedron with a base that is a polygonal region and having 3 or more triangular faces
CONGRUENT 2 geometric figures that have the same shape and size
DECIMAL A number with a decimal point in it, such as 5.36, 0.04, or 0.3
PROBABILITY The ratio of the number of outcomes favoring an event to the total number of possible outcomes
METER The basic unit of length in the metric system of measurement. Most doorways are about 2 meters high
PERCENT A ratio of a number to 100. "per hundred" or "out of 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.
RIGHT TRIANGLE A triangle having one angle equal to 90°.
SCALE The horizontal scale across the bottom and the vertical scale along the side of a graph tell us how much or how many.
DIGITs Digits are making reference to numerals. 176 is a 3 digit number.
ANGLE A figure formed by 2 rays starting from the same endpoint
NETS A flattened 3-D shape that can be turned into a 3-D object with glue/tape and folding.
CUBE A rectangular prism having 6 square faces
POLYGON Line segments joined together to form a closed figure. Rectangles, squares, pentagons are all examples of polygons.
EXPANDED FORM Expanded form shows the number expanded into an addition statement. The expanded form of 495,786 is 400,000 + 90,000 + 5,000 + 700 + 80 + 6.
TRUE being in accordance with the actual state or conditions; conforming to reality or fact; not false
3-DIMENSIONAL An object that has height, width and depth, like any object in the real world. Example: your body is three-dimensional.
EQUIVALENT Equal in amount, force, or value
COMMON MULTIPLE A number that is a multiple of two or more numbers
LEAST COMMON MULTIPLE (LCD) The least number that is a multiple of 2 or more nonzero given numbers
STEM-AND-LEAF PLOT A data display that lists the last digits ("leaves")of the data values to the right of the earlier digits ("stems")
EDGE(s) A segment where 2 faces of a space figure are joined
PROTRACTOR An instrument for measuring angles in degrees
FRACTION A number that can be expressed in the form a/b, where a & b are whole numbers (b cannot = 0)Its numerator is a and denominator is b
PRIME NUMBER A whole number greater than 1 that has exactly 2 factors, 1 and itself
WORD PROBLEM any mathematics exercise expressed as a hypothetical situation explained in words
COMPOSITE NUMBERS A number that has more than 2 factors; e.g. 8 is composite-its factors are 1, 2, 4, and 8
APPROXIMATE to estimate; nearly exact; not perfectly accurate or correct
SIMILAR (of figures) having the same shape; having corresponding sides proportional and corresponding angles equal:
ROTATE to cause to turn around an axis or center point; revolve.
AREA The amount of surface measured in square units.
VALUE The number named by the numerical expression
VERTICES plural of vertex; more than 1 point on a geometric figure
VERTEX a point common to the 2 sides of the angle
Evaluate To calculate the numerical value.
DIAMETER Any chord that passes through the center of a circle

## Frfactions,mixed numbers,decimals, percentages, areas, colume, sig figs and more

How do you make a fraction into a decimal? Divide The numerator by the denominator
How do you make a decimal into a fraction? Put it over the number of place values after the decimal point, simplify fraction if necessary.
How do you add and subtract fractions? Make a common denominator then add/subtract
How do you multiply Fractions? Multiply the numerators together, followed by the denominator.
How do you divide Fractions? Turn the 2nd fraction then time.
How do you add mixed numbers? Add together the mixed numbers, then make a common denominator and add together the fractions. Then add together the whole number and the fraction
How do you Subtract mixed numbers? First subtract the second whole number by the first, then subtract the second fraction by the first.
How do you multiply mixed numbers? Write as an improper fraction then times.
How do you divide mixed numbers? Write as an improper fraction, swap round the 2nd fraction and times.
Mixed numbers into improper fractions? Times the whole number by the denominator then add the numerator.
Multiplying decimal numbers? Make the decimal a whole number, then times. But because you timed the decimal you need to undo the operation by dividing the answer by 10, 100, 1000 etc.
How do you add and subtract decimals? Line up the decimals under each other then add/subtract.
Expressing 1 quantity as a percentage as another? Place the two numbers over each other as a fraction and times by 100, turn into a mixed fraction then a percentage.
Making a fraction into a percentage? Change into decimal than percetage.
How do you multiply a single bracket? Everything inside the bracket must be multiplied by the number or term outside the bracket.
What is pi? 3.1415926 (Area of a circle) Pi, r squared.
Directed numbers rules? + + = +- – = +- + = -+ – = –
What is a perimeter? All the sides ADDED together
How do you simplify expression with brackets? BIDMAS
Area of a triangle? 1/2 Base x height
Area of a square? Length of side Squared
Area of a rectangle? Breadth x Height
Area of a Parrallelogram? Breadth x Height
Area of a Trapezoid? Length of the top side + The base divided by 2 timed by Vertical height
Area of a circle? Pi r squared
Volume of a cuboid? Height ? Width ? Length
Volume of a cube? Height x width x length
Volume of cylinder? Find the area of thr circle than times it by the height.
Volume of a prism? Area if cross section x length
How do you Round? Identify the posistion of the last digit, look at the digit to the right. If the decider is 5 or more you round up if the decider is 4 or less you leave the digit as it is.
What is a significant figure? Sig fig approach from the left and start counting as soon as you meet the non zero figure. Once you have started counting any figure including zero is significant.
What do the angles in a triangle add up to? 180 degrees
What do angles around a point equal up to? 360 degrees
What do angles on a line add up to? 180 degrees
What is a isosceles triangle? A triangle with two equal sides
What is a equilateral triangle? Triangle where all the sides are equal, adding up to 60 degrees.
What is a interior and exterior angle? On a triangle the exterior angle is the sum of two interior angles. If you add up the interior angle and exterior angle you get a straight line, 180 degrees. The exterior is on the outer side of the shape and the interior is on the inside.
What does BIDMAS stand for? B – BracketsI – Indices (Powers)D – DivisionM – MultiplicationA – AddingS – subtracting
What are the first 12 prime numbers? 2,3,5,7,11,13,17,19,23,29,31,37(Hint – All end in 1,3,7,9)
What are HCF & LCM? We can break a number into a product of itsw primes.HCF – Highest common Factor that can both be divided into without a remainder.LCM – Lowest common multiple, the lowest number they can both be divided into.
What are the multiplication and division laws for indices? Multiplication – Am x An – Am+nDivision – Am / An = A m-n
What is standard form? A number is written as A x 10n, A is always between 1 and 10. n tells us how many place to move
What is an acute angle? Angle less than 90 degrees
What is and obtuse angle? Angles between 90 and 180 degrees.
What is a reflex angle? Angles between 180 and 360 degrees.
What are the first 15 square numbers? 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225.
What is a square root? The opposite of a square number.
What is a cubed number? Times a number by itself three times
What is a cubed root? The opposite of a cube number.
What is the equivilents to 1km in m? 1000m
1m in cm? 100cm
1cm in mm? 10mm
1kg in g? 1000g
1 Tonne in kg? 1000kg
1g in mg? 1000mg
1 Litre in ml 1000ml

## EDM

What is a PRIME NUMBER? The only factors of a prime number are 1 and itself The only factors of 13 are 1 and 13.
13 is a prime number.
What is a COMPOSITE NUMBER? A composite number has more factors than just 1 and itself. 8 has more factors than just 1 and itself.
For example, 2 is a factor of 8:

8 ? 2 = 4
8 is a composite number.

What are FACTORS? Factors are the numbers you multiply together to get another number 3 and 4 are factors of 12, because 3×4=12.

Also 2×6=12 so 2 and 6 are also factors of 12, and 1×12=12 so 1 and 12 are factors of 12 as well.
So ALL the factors of 12 are 1,2,3,4,6 and 12

What does DIVISIBLE mean? When one number can be divided by another and the result is an exact whole number. 15 is divisible by 3, because 15 ? 3 = 5 exactly

15 is divisible by 3, because 15 ? 3 = 5 exactly

But 9 is not divisible by 2 because 9 ? 2 is 4 with 1 left over.

But 9 is not divisible by 2 because 9 ? 2 is 4 with 1 left over.

What is a PRODUCT? The answer when two or more numbers are multiplied together. 15 is the product of 3 x 5
3 x 5 = 15
What is a SQUARE NUMBER? A square number is the product of a number multiplied b itself 9 = 3 x 3 ( 9 is a square number because it is the product of 3 x3.)
What is an EXPONENT? The exponent of a number shows you how many times the number is to be used in a multiplication.
It is written as a small number to the right and above the base number.
2
8 = 8 ? 8 = 64
What is a FACTOR TREE? A graphical representation showing the factors of a composite number. 36
6 x 6
3 x 2 3 x 2
What is PRIME FACTORIZATION? A prime factorization shows how to write a number as the product of prime factors. What are the prime factors of 15?
Divide by prime factors until the quotient is 1.

15 ? 3 = 5
5 ? 5 = 1

The prime factorization of 15 is:

15 = 3 ? 5

## îïðåäåëåíèÿ ÷åòûð¸õóãîëüíèêîâ

Вопрос Ответ
×åòûð¸õóãîëüíèê, ó êîòîðîãî ïðîòèâîïîëîæíûå ñòîðîíû ïîïàðíî ïàðàëëåëüíû Ïàðàëëåëîãðàìì
Ïàðàëëåëîãðàìì,ó êîòîðîãî âñå ñòîðîíû ðàâíû Ðîìá
Ïàðàëëåëîãðàìì,ó êîòîðîãî âñå óãëû ïðÿìûå Ïðÿìîóãîëüíèê
×åòûð¸õóãîëüíèê, ó êîòîðîãî äâå ñòîðîíû ïàðàëëåëüíû, à äâå äðóãèå ñòîðîíû íå ïàðàëëåëüíû. Òðàïåöèÿ
Ïðÿìîóãîëüíèê, ó êîòîðîãî âñå ñòîðîíû ðàâíû Êâàäðàò

## How to learn MATH FAST and FUN!

Term Definition
Adding and Subtracting Decimals First line up the decimals. Then bring decimal straight down.
Multiplying Decimals First multiply then move the decimal.
Dividing Decimals by a Whole Number First bring decimal straight up. Then divide.
Dividing a Decimal by a Decimal You cannot divide a decimal by a decimal. You need to multiply by one in the form of a fraction to turn it in to a whole number.
Dividing a Decimal by a Decimal 1.Move
2.Move
3.Up
4.Divide

## Math Vocabulary Lessons 1-20, Inv 1 & 2

Term Definition
Commutative Property of Addition changing the order of the addends does not change the sum (4+3 or 3+4)
Identity Property of Addition The sum of any number and 0 is equal to the initial number. (4+0=4)
Identity Property of Multiplication the product of any number and 1 is equal to the initial number (8×1=8)
Zero Property of Multiplication if zero is a factor in multiplication, the product is 0
Associative Property of Addition The grouping of addends does not affect their sum
variable a symbol (usually a letter) that represents a number that is not given (unknown)
counting numbers number used to count (1,2,3,4…)
whole numbers members of the set (0,1,2,3,…)
Integers set of counting numbers, their opposites, and zero
mean average
prime number counting numbers that have exactly 2 factors: itself and 1
histogram method of displaying a range of data. A special type of bar graph that displays data in intervals of equal size with no space between bars
line a straight collection of points extending in opposite directions without end
ray a part of a line that begins at a point and continues without end in one direction
segment a part of a line with two distinct points
perimeter the distance AROUND a closed, flat shape
minuend a number from which another number is subtracted (first number in a subtraction problem)
subtrahend a number that is subtracted (second number in a subtraction problem)
dividend the number that is divided
divisor the number by which the dividend is divided
quotient the answer to a division problem
difference the result of subtraction