Exam Review

A spread sheet organizes data in columns and rows.

Know the ratio of circumference to diameter of any circle is always the same.

Circumference divided by diameter is pi 3.14

Must remember:
Circle Formulas:
C= πd       D= 2r
C= 2πr       A= πr2


Area is the measure of space a two dimensional shape covers.


Sectors of circle graphs are made from central angles.


Integers


Negative numbers represent values below zero and positive numbers represents values above zero. 


eg. above and below ground or sea level
1+(-2)= (-1) is an addition statement
3-(-1)= 4 is a subtraction statement


Opposite integers have the same numeral but different sign.
eg. 3 and (-3)


Know what a (+) + (+)=      (+) - (+)= 
            (-) + (-)=         (-) - (-)=
            (+) + (-)=        (+) - (-)=
            (-) + (+)=        (-) - (+)=


Practice with different numerals in each situation.

Good luck everyone! 

Exam review

Make sure you know how to plot points on a coordinate paper.

Must remember:
(+, +) quadrant 1
(-, +) quadtrant 11
(-, -) quadrant 111
(+, -) quadrant 1111

Adding, subtracting, multiplying, and dividing decimal numbers using a calculator

try this: 
1) 21.34+32.56+1.09=
2) 675.42-324.78=
3) 23.78x5.06= 
4) 678.987/8.17=


answers:
1) 54.99
2) 350.64
3) 120. 2762
4) 119. 8270502

Divisibility Rules


0- end in zero


1- all numbers


2- even numbers


3- sum of the digits in 3


4- divisible by 2 twice


5- ends in 0 or 5


6- divisible by 2 and 3


8- divisible by 2 thrice


9- sum of the digits is 9


10- ends in 0

Exam notes

Translation- slide along a  straight line

Rotation- turn about fixed point

Reflection- mirror image

 Independent even- the outcome of one event has no effects on the outcome of another event
eg. flipping coin
-rolling a die

Sample space- all possible outcomes of an experiment
eg. heads or tails (coins)
1, 2, 3, 4, 5, 6 (die )

Random- an event in which every outcome has an equal chance of happening
eg. flipping a coin
- rolling a standard die
- drawing a card from a deck of cards

Theoretical Probability- the expected probability of an even occurring

Experimental Probability- the probability of an event occurring based on experimental results



                               

Measure of Central Tendency

Measures of Central Tendency 
-a value that represents the centre of a data set
-can be the mean, median, or mode
-data set is a group of numbers that you must arrange in order from least to greatest.

eg.
2, 3, 4, 5, 6, 5, 4, 5, 3, 4, 5, 6, 7, 5, 3, 4, 3
 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5,6, 6, 7

Median- the middle number in a set of data after the data have been arranged in order

eg.
median of 2, 5, 6, 8, 9 is 6
median of 1, 3, 6, 8, 9, 10 is 7

Mode- the value that shows up the most
mode and most both have 4 letters

eg.
mode of 3, 5, 7, 7, 9 is 7

Range- positive difference between the largest and smallest values in a data

eg.
Range of - 1, 3, 4, 5, 5, 6, 6, 8, 8, 9
9-1=8

Outlier- a value that is much larger or smaller than the other data value
- the data set may have more than 1 outlier or zero outliers

eg.
outliers for 1, 67, 68, 67, 64, 65, 100, are 1 and 100 
outliers for 3, 8, 4, 5, 6, 33, 5, 6 are 3 and 33

Exam notes: Bisect and Perpendicular

Bisect-- is to cut in the two equal parts

Bi- two

Sect-cut

Perpendicular bisector- a line that divides another line segment in half and meets at right angles.

-equal line segments are shown with hash marks. 

Constant, Numeral Coefficient

Constant- a number that does not change and it increases or decreases the value of an expression.

Numerical Coefficient- a number that multiples the variable.

eg. 2+ , 2 is the Numerical and + is the Coefficient.

Variable, Expression, Value

Variable-a letter that represents an unknown number.

eg. x, a, n, b

Expression- any single number or variable, or combinations of operation (-, +, x, /) involving numbers and variables.

Eg. 5, n, 8+, x+1, 2y-7

Value- a known or calculated amount.

Common Denominator

Common Denominator- a common multiple of the denominators of a set of fractions.

eg. a common denominator for 1/4 and 1/6 is 12 because a common multiple of 4 and 6 is 12.

To make a common denominator we have to find the LCM- Lowest Common Multiples.

eg. 4 and 6

the LCM is 12

4- 4, 8, 12,

6-6, 12

Once we find a common denominator we make eqiuvalent fraction.

Hope you learn something about this.

Multiple

Multiple- the product of any given number and natural number like 1, 2, 3.

eg. some multiples of 3 are 3, 6, 9, 12, 15, 18.

List the first 5 multiples of 2, 3, 4, 5, 8, 12.

2- 2, 4, 6, 8, 10

3-3, 6, 9, 12, 15

4-4, 8, 12, 16, 20

5-5, 10, 15, 20, 25

8-8, 16, 24, 32, 40

12- 12, 24, 36, 48, 60

Multiples is just skip counting.

Adding Mixed Numbers

A mixed number is a number amade up of a whole number and a fraction, such as

Deal with the fraction, already has a common denominator.

Deal with the whole numbers 1.

Combine whole numbers and fractions.

The answer is ---->

Greatest Common Factor

Greatest Common Factor (G.C.F)- the number with the greatest value that two or more numbers are divisible by.

e.g. find the G.F.C of 32 and 24 using divisibility rules and a Venn diagram

Common Factor

Common Factor- a number that two or more numbers are divisible by.

e.g. 4 is a common factor of 8 and 12

another example: find the common factors of 12 and 16

Rule for 1

Rule for 1- all whole numbers divisible by 1

e.g. 3/1= 3 or 111/1= 111

Factor

Factor- is a number that can go into another with no remainder.

e.g. 12/2=6

12 is divisible by 2
2 is a factor of 12

Order of operation

Today's bedmas question is..



4 x 3 + 12 ÷2

Step 1: Look for BRACKETS.
Step 2: Look for EXPONENTS.
Step 3: Look for DIVISION and MULTIPLICATION. (look from left to right)
Step 4: Look for ADDITION and SUBTRACTION. (look from left to right)

Here's a video that might help you little more about BEDMAS.