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 |

## HCF and LCM Matching Game

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

Question | Answer |
---|---|

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 |

MISSING | lacking, absent, or not found |

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. |

QUADRILATERALS | A four (quad) sided polygon/shape |

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

Question | Answer |
---|---|

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

Question | Answer | Example |
---|---|---|

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 |

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. |

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 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 |

addends | numbers that are added together |

sum | the result of addition |

product | the result of multiplication |