-Sectors of circle graphs are made from central angles
-If the sector covers 25% of the graph, the central angle is 25% of 360 (degrees) . Which is 90 (degrees).
Thursday, June 14, 2012
Circle Formulas
c = (pi) d
c = 2 (pi) r
d = 2r
A = (pi) r2
Area is the measure of space a 2D shape covers.
Divisibility Rules
0 = ends in zero
1 = all numbers
2 = even numbers
3 = sum of the digits is 3
4 = divisible by 2 twice
5 = ends in a 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
1 = all numbers
2 = even numbers
3 = sum of the digits is 3
4 = divisible by 2 twice
5 = ends in a 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
Integers
Integers
Negative numbers represent values below
zero and positive numbers represent
values above zero
eg. above and below ground or sea level
1+ (-2) = (-1) is an addition statement
3 - (-1) = 4 is an subtraction statement
Negative numbers represent values below
zero and positive numbers represent
values above zero
eg. above and below ground or sea level
1+ (-2) = (-1) is an addition statement
3 - (-1) = 4 is an subtraction statement
Intergers
Opposite integers have the same numeral
but different sing eg. 3 and (-3)
know what a (+) + (+) = (+) - (+) =
(-) + (-) = (-) - (-) =
(+) + (-) = (+) - (-) =
(-) + (+) = (-) - (+) =
but different sing eg. 3 and (-3)
know what a (+) + (+) = (+) - (+) =
(-) + (-) = (-) - (-) =
(+) + (-) = (+) - (-) =
(-) + (+) = (-) - (+) =
Divisibility
Definition:
Divisible- Means when a number can be divided by another number, with no remainder or decimal.
(It's a whole number.)
Divisible- Means when a number can be divided by another number, with no remainder or decimal.
(It's a whole number.)
Probability
DEFINITIONS:
Experimental probability: Actually doing the trails
Theoretical probability: what you expect to happen
exam review 2012
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
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
exam review 2012
Variable is an unknown number
expression contains variables,
operations, and numbers, in any
combination.
Practice finding the pattern
eg. 24, 21, 18, 15...
and write equations for the patterns
eg. 27-3n
Transformations / Measure of Central Tendency
Translation - Slide along a straight line
Rotation - turn about a fixed point
Reflection - mirror image
_____________________________________________________________________________
Median - the middle number in a set of data after data have been arranged in order
Mode - the most frequently occurring number in a set of data
Mean - the sum of a set of values divided by the number of values in a set
Range - the positive difference between the largest and smallest values in a data set
Outlier - a value that is much larger or smaller than the other data value
Rotation - turn about a fixed point
Reflection - mirror image
_____________________________________________________________________________
Median - the middle number in a set of data after data have been arranged in order
Mode - the most frequently occurring number in a set of data
Mean - the sum of a set of values divided by the number of values in a set
Range - the positive difference between the largest and smallest values in a data set
Outlier - a value that is much larger or smaller than the other data value
Exam review
Exam review: Ordered Pairs and Linear Relation
Plot ordered pairs and determine whether or not they make a pattern.
Determine the linear relation (equation) from a group or table of values
Remember for the Exams: Converting Percents, Decimals, and Fractions
Percent: Is always out of 100
Decimals: Is always over 1
Fractions: Is always whole number over whole number.
How to Make a Perpendicular Bisector
Step 1: Open compass to just over half way of the line.
Step 2: Sharp point at point A, make an arc.
Step 3: Sharp point at point B, make an arc.
Step 4: with a ruler, join the intersections of the arc.
And you should end up with something that looks just like this:
Step 2: Sharp point at point A, make an arc.
Step 3: Sharp point at point B, make an arc.
Step 4: with a ruler, join the intersections of the arc.
And you should end up with something that looks just like this:
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.
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
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
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 review
Measure of Central Tendency
Measure of Central Tendency) A value that represents a data set.
(A data set is a group of numbers that you arrange in order from least to greatest.)
(A data set is a group of numbers that you arrange in order from least to greatest.)
exam review
Transformations
Translation- slide along a straight line
Rotation- turn about a fixed point
Reflection - a mirror image
Translation- slide along a straight line
Rotation- turn about a fixed point
Reflection - a mirror image
Remember for the Exam: Measure of Central Tendency
Measure of Central Tendency) A value that represents the centre of a data set.
(A data set is a group of numbers that you must arrange in order from least to greatest.)
Mean) The sum of a set of values divided by the number of values in the set.
Median) The middle number in a set of data after that data set has been arranged in order.
Mode) The most frequently occurring number in a set of data.
Range) The positive difference between the largest and smallest values in data.
Outlier) Value that is larger or smaller than the other data value.
The data set might have more than one outlier or zero outliers.
(A data set is a group of numbers that you must arrange in order from least to greatest.)
Mean) The sum of a set of values divided by the number of values in the set.
Median) The middle number in a set of data after that data set has been arranged in order.
Mode) The most frequently occurring number in a set of data.
Range) The positive difference between the largest and smallest values in data.
Outlier) Value that is larger or smaller than the other data value.
The data set might have more than one outlier or zero outliers.
exam review
Variables Expressions Ordered Pairs and Linear Relation
Variable- is an unknown number.
Expression- contains variables, operations and numbers in any combination.
Plot ordered- pairs and determine whether or not they make a pattern.
Determine- the linear relation (equation) from a group or table of values.
exam review
I f they have $500 how much do they spend on rent
Milton family
food 35%
music 21%
clothes 15%
savings 6%
rent 25%
answer is $125
Milton family
food 35%
music 21%
clothes 15%
savings 6%
rent 25%
answer is $125
Variables, Expressions, Ordered Pairs and Linear Relation
Variable is an unknown number.
Expression contains variables, operations and numbers in any combination.
Plot ordered pairs and determine whether or not they make a pattern.
Determine the linear relation (equation) from a group or table of values.
Expression contains variables, operations and numbers in any combination.
Plot ordered pairs and determine whether or not they make a pattern.
Determine the linear relation (equation) from a group or table of values.
exam review
divisible- means when a number can be divided by another number with no remainder or decimal
its a whole number
its a whole number
exam review
experiment probability- actually doing the trails
theoretical probability- what you expect to happen
theoretical probability- what you expect to happen
Math Review
Variable
A variable is a unknown number
A express contains variables, numbers and operations in any order
A variable is a unknown number
A express contains variables, numbers and operations in any order
exam review
probability -like a event occurring
probability- can be expressed ( said or written) using fractions, ratios and percents
outcome- one possible result of a probability experiment
favorable outcome- a successful result in a probability experiment
p (outcome)- is a short for saying something happening
probability- can be expressed ( said or written) using fractions, ratios and percents
outcome- one possible result of a probability experiment
favorable outcome- a successful result in a probability experiment
p (outcome)- is a short for saying something happening
Circumference, Area and Sectors
Exam Review
Know the ratio of the circumference to diameter of any circles always the same.
Circumference divided by the diameter = 3.14
Area is the measure of space a 2 dimensional shape covers.
Sectors of circle graphs are made from central angles.
If the sector covers 25% of the graph the central angle is 25% of 360 degrees which is 90 degrees.
Math Review
The three Transformations
Translation- slide along a straight line
Rotation- Turn about a fixed point
Reflection- Just a mirror image
Translation- slide along a straight line
Rotation- Turn about a fixed point
Reflection- Just a mirror image
Divisible
Divisible means when a number can be divided by another number it has to be a whole number
Math Review
Divisibility rules 6 & 8
The rule for 6 is it has to be divisible by 2 & 3
The rule for 8 is it has to be divided by 2 three times
The rule for 6 is it has to be divisible by 2 & 3
The rule for 8 is it has to be divided by 2 three times
An Independent Event and a Sample Space
Independent Event - The outcome of 1 event has no effect on the outcome of another event.
Sample Space- All possible outcomes of an experiment.
Sample Space- All possible outcomes of an experiment.
Math Review
Divisibility rules 4 & 5
The rule for 4 is divide the number by 2 twice with no remainders
Rule for 5 is if it ends with 0 or 5
The rule for 4 is divide the number by 2 twice with no remainders
Rule for 5 is if it ends with 0 or 5
Math Review
Divisibility rules for 2 & 3
All number that end in a even number is for 2
All numbers that are in the group of 3 is for 3
All number that end in a even number is for 2
All numbers that are in the group of 3 is for 3
Exam notes
Independent event
-The outcome of one event
has no effect on the outcome of another event.Ex. Flipping a coin, Rollin a die
Sample space
- all possible outcomes of an experiment.
Ex. Heads or Tails (coin)
How to find area of a triangle
First you get the base and the height and you divide it by two and you get your area.
B x H and then divide it by two.
B x H and then divide it by two.
Number Lines
Number lines are help ways to figure out integer questions.
-1-2-3-4 1 2 3 4
<--------0------->
----->
+2
The answer is +2
-1-2-3-4 1 2 3 4
<--------0------->
----->
+2
The answer is +2
exam review
Number Coefficent: is a number that multiplies the
variables.
Variable: is a letter that represents an unknown number.
Expression: is any single number or variable combination of operation ( -, +, x, ./.) involving a number.
Variable: is a letter that represents an unknown number.
Expression: is any single number or variable combination of operation ( -, +, x, ./.) involving a number.
Exam review!
Independent event
-The outcome of one event has no effect on the outcome of another event.Eg. Flipping a coin, Rollin a die
Sample space
- all possible outcomes of an experiment.
Eg. Heads or Tails (coin)
Measures of Central Tendency
Measure of Central Tendency
Mean - Add up all values divided by how many values there are (the average of the set)
Median - The middle number in a set of ordered values, but might be the mean of two middle values
Mode - The value that shows up the most
Range - possitive difference between the largest and smaller values
Outliers - values that are too big or too small compared to the other values
Mean - Add up all values divided by how many values there are (the average of the set)
Median - The middle number in a set of ordered values, but might be the mean of two middle values
Mode - The value that shows up the most
Range - possitive difference between the largest and smaller values
Outliers - values that are too big or too small compared to the other values
How to make an Angle Bisector
How to make an Angle Bisector
Step 1: You must have an angle
Step 2: Place your compass point at the angle vertex and make an arc through both arms
Step 3: Repeat step 2 on the other arm
Step 4: Then draw a line from arc intersection to angle bisector using a ruler
These are the steps you need to know on how to make an Angle Bisector
Step 1: You must have an angle
Step 2: Place your compass point at the angle vertex and make an arc through both arms
Step 3: Repeat step 2 on the other arm
Step 4: Then draw a line from arc intersection to angle bisector using a ruler
These are the steps you need to know on how to make an Angle Bisector
How to make a Perpendicular Bisector
How to make a Perpendicular Bisector
Step 1: You must have a line segment eg. a__________b
Step 2: Open your compass just over half way of the line segment
Step 3: Put the sharp point on "a" and make an arc (semi-circle)
Step 4: Put the sharp point on "b" and make another arc (semi-circle)
Step 5: Use a ruler to join the 2 intersections of the arcs
And this is what you need to know on how to make a perpendicual bisector
Exam review Quadrants
Exam Review: quadrants
(-,+) quadrant II
(-,-) quadrant III
(+,-) quadrant IV
Rotation, Transformation and Reflection
rotation: to rotate a shape on a grid
Transformation: to move a shape on a strait line on a grid
Reflectio : to make a mirror image
Transformation: to move a shape on a strait line on a grid
Reflectio : to make a mirror image
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
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
Geometry - Bisectors / Angles
Geometry - Besectors / Angles
Bi- Two Sect- cut
Bisect - is to cut into two equal parts
Perpendicular Bisector - a line that divides another line segment in half and meets at right angles
Angle Bisector - a line that divides an angle into two equal parts (equal angles are marked with the same symbol)
Acute Angle - angles that are less than 90 degrees
Obtuse Angle - angles that are greater than 90 degrees
These are some things that will help you remember what bisectors and angles are.
probibility
You get all favoritable outcomes and divide it by all possible outcomes
ex. heads and tails on a coin. you have a 50% chance to get heads
1 out of two
ex. heads and tails on a coin. you have a 50% chance to get heads
1 out of two
Formulas Of Circles
Formulas Of Circle
C=2πr twice the radius is the diameter
A=πr2 this is used to measure the area
d=2r this is used to measure the diameter
Exam review: Divisiblilty rules
Exam review post:
Divisiblity rules 1-10
Rule for 1 : All whole numbers divisble by 1
Rule for 2: All even numbers
Rule for 3: The sum of the digits divisible by 3
Rule for 4: divisible by 2 thrice(Three times)
Rule for 5: All numbers that end in 5 or 0
Rule for 6: Divisble by 2 and 3
Rule for 7 : divisble by 2 thrice
Rule for 8:All numbers Divisble by 2
Rule for 9: Sum of the digits is nine
Rule for 10: ends in 0
exam review
variable is an unknown number
- expression contains varibles, operations and numbers , in any combination
practice finding patteren
eg. 24, 21, 18, 15...
and write equations for the patterens
eg. 27-3n
- expression contains varibles, operations and numbers , in any combination
practice finding patteren
eg. 24, 21, 18, 15...
and write equations for the patterens
eg. 27-3n
exam notes
adding subtracting multiplying and dividing
decimal numvers using a calculator.
21.34 + 32.56 + 1.09 =
675.42 - 324.78 =
23.79 x 5.06 =
678,987 / 8.17 =
decimal numvers using a calculator.
21.34 + 32.56 + 1.09 =
675.42 - 324.78 =
23.79 x 5.06 =
678,987 / 8.17 =
Review: Mean, Median, Mode, Range, Outlier,
Mean:
-add up all the values , divide by how many numbers there are
Median:
-the middle number in a data set
Mode:
-the value that shows up the most
Range:
-the positive difference between largest and smallest values
Outlier:
-values that are too big or smallest
values
-add up all the values , divide by how many numbers there are
Median:
-the middle number in a data set
Mode:
-the value that shows up the most
Range:
-the positive difference between largest and smallest values
Outlier:
-values that are too big or smallest
values
Measures of Central Tendency definitions
Data Set - A group of numbers that you must rearrange in order from least to greatest.
Median - The middle number in a set of data after the data set has been arranged in order
Mode - The most frequently occuring number in a set of data
Mean - The sum of a set of values divided by the amount of values in the set
Range - The positive difference between the smallest and the greatest number in a data set
Outlier - A value that is much bigger or smaller than the other data values.
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
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
divisible means when a number can be divided by another number with no remainder or decimal
Divisibility rules
1- all numbers
2- even numbers
3- sum of the digits is divisible by three
4- divisible by two twice
5- ends in a zero or a five
6- divisible by two and three
8- divisible by two thrice
9- sum of all digits is equal to nine
10- ends in a zero
Divisibility rules
1- all numbers
2- even numbers
3- sum of the digits is divisible by three
4- divisible by two twice
5- ends in a zero or a five
6- divisible by two and three
8- divisible by two thrice
9- sum of all digits is equal to nine
10- ends in a zero
exam review
Intergers
- negative numbers repersent values below zero and positive numbers repersent values about zero
-eg. above and below ground sea level
eg. 1+ (-2) = (-1) is an addition statement
eg. 3 - (-1) = 4 is an subtraction statement
- negative numbers repersent values below zero and positive numbers repersent values about zero
-eg. above and below ground sea level
eg. 1+ (-2) = (-1) is an addition statement
eg. 3 - (-1) = 4 is an subtraction statement
Review: Divisibility Rules
The Divisibility Rules:
0 - end in zero
1 - all numbers
2 - all even numbers
3 - sum of the digits is 3
4 - divisible by 2 twice
5- ends in 0 or 5
6- divisible by 2 and 3
7- nothing
8- divisible by 2 thrice
9- sum of the digits is 9
10- ends in 0
exam notes
(+,+) quadrant I
(-,+) quadrant II
(-,-) quadrant III
(+,-) quadrant IV
describe the horizontal vertical
movements between two points , 2 units right
and 3 nits left
(-,+) quadrant II
(-,-) quadrant III
(+,-) quadrant IV
describe the horizontal vertical
movements between two points , 2 units right
and 3 nits left
Integers
Positive integers have the same numeral value as a negative integers but have a different sign.
(+) + (+) = (+)
(-) + (-) = (-)
(-) + (+) = it depends which number value is higher
(+) + (-) = it depends which number value is higher
(+) + (+) = (+)
(-) + (-) = (-)
(-) + (+) = it depends which number value is higher
(+) + (-) = it depends which number value is higher
Remember for the Exam: BEDMAS
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
First you check for brackets then exponents.
Then check for division or multiplication.
Last, check for addition or subtrction.
exam notes
transformations
translation - slide along a straight line
Rotation - turn about a fixed point
Reflection - mirror image
Know how to do and describe each them
Where does (1,-3) go on a
coordinate grid?
translation - slide along a straight line
Rotation - turn about a fixed point
Reflection - mirror image
Know how to do and describe each them
Where does (1,-3) go on a
coordinate grid?
Review: Mean, Median, Mode, Range, Outlier
Mean:
-add up all the values , divide by how many numbers there are
Median:
-the middle number in a data set
Mode:
-the value that shows up the most
Range:
-the positive difference between largest and smallest values
Outlier:
-values that are too big or smallest
values
-add up all the values , divide by how many numbers there are
Median:
-the middle number in a data set
Mode:
-the value that shows up the most
Range:
-the positive difference between largest and smallest values
Outlier:
-values that are too big or smallest
values
Geometry - Lines
Geometry - Lines
Parallel lines - are lines in the same plane that never cross or intersect
Intersecting - lines in the same plane that meet or cross eg. X L T <--- these letters cross or intersect
Perpendicular - lines in the same plane that insect at 90 degree angles L T <--- These letters have perpendicular angles
Line Segments - piece of a line with starting and end points eg. a__________b
These are some definitions for you to know about basic geometry.
Mean- add up all values divide by how many values there are
Median- the middle number is a set pf ordered values, might be the mean of two middle values
Mode the value that shows up the most
Range- positive difference between largest and smallest values
Outlier- values that are too big or too small compared to the other values
Median- the middle number is a set pf ordered values, might be the mean of two middle values
Mode the value that shows up the most
Range- positive difference between largest and smallest values
Outlier- values that are too big or too small compared to the other values
exam review
-mean-add up all values divided by how many values there are
-median-the middle number in a set of ordered values might be the mean of 2 middle values
-mode-the values that shows up the most
-range-positive diffrence betwwen largest and smallest values
-outlier- values that are big or too small compared to the other values
-median-the middle number in a set of ordered values might be the mean of 2 middle values
-mode-the values that shows up the most
-range-positive diffrence betwwen largest and smallest values
-outlier- values that are big or too small compared to the other values
Mean, Median, Mode, Range, Outlier
Mean- Add up all values divide by how many values there are.
Median- The middle number is a set of ordered values, might be the mean of 2 middle values.
Mode- The value that shows up the most.
Range- Positive difference between largest and smallest values.
Outlier- Values that are too big or small compared to the other values.
Median- The middle number is a set of ordered values, might be the mean of 2 middle values.
Mode- The value that shows up the most.
Range- Positive difference between largest and smallest values.
Outlier- Values that are too big or small compared to the other values.
Review: Quadrants
(+,+) Quadrant 1
(-,+) Quadrant II
(-,-) Quadrant III
(+,-) Quadrant IV
Describe the horizontal and vertical movements between two points.
(-,+) Quadrant II
(-,-) Quadrant III
(+,-) Quadrant IV
Describe the horizontal and vertical movements between two points.
Mean, Median, Mode, Range, Outlier
Mean: add up all the values , divide by how many numbers there are.
Median: the middle number in a data set
Mode: the value that shows up the most
Range:the positive difference between largest and smallest values
Outlier:values that are too big or smallest
values
Median: the middle number in a data set
Mode: the value that shows up the most
Range:the positive difference between largest and smallest values
Outlier:values that are too big or smallest
values
Review: Transformations
Translation - slide slon a straight line
Rotation - turn about a fixed point
Reflection - mirror image
Rotation - turn about a fixed point
Reflection - mirror image
Review: Transformations
Translation- slide along a straight line
Rotation- turn about a fixed point
Reflection- mirror image
Know how to do and describe each of them.
Rotation- turn about a fixed point
Reflection- mirror image
Know how to do and describe each of them.
Exam reviews
Transformation-slides along a straight line
Rotation-turn about a fixed point
Reflection-mirror image
Rotation-turn about a fixed point
Reflection-mirror image
DIVISIBILITY RULES
Divisibility rules
1. all numbers
2. all even numbers
3. the sum of the digits is divisible by 3
4. if the number is divisible by two twice
5. any number that ends in o or 5
6. if the number is divisible by 2 and 3 its divisible by six
8. if the number is divisible by 2 thrice
9. if the sum of the numbers are divisible by 9
10. if number ends in 0
1. all numbers
2. all even numbers
3. the sum of the digits is divisible by 3
4. if the number is divisible by two twice
5. any number that ends in o or 5
6. if the number is divisible by 2 and 3 its divisible by six
8. if the number is divisible by 2 thrice
9. if the sum of the numbers are divisible by 9
10. if number ends in 0
Review: Divisibility Rules
Divisible means when a number can be divided by another number,
With no remainders or decimals.
Divisibility rules
1- All numbers
2- Even numbers
3- Sum of the digits is divisible by 3
4- Divisible by 2 Twice
5- Ends in a 0 or 5
6- Divisible by 2 And 3
8- Divisible bye 2 thrice (three times)
9- Sum of he digits is 9
10- ends in 0
Formulas Of Circles
C=πd this is used to measure the circumference of a circle
C=2πr twice the radius is the diameter
A=πr2 this is used to measure the area
d=2r this is used to measure the diameter
C=2πr twice the radius is the diameter
A=πr2 this is used to measure the area
d=2r this is used to measure the diameter
Wednesday, June 13, 2012
Divisibility/Divisible
Divisible means when a number can be divided by another number,
With no remainders or decimals.
Divisibility rules
1- All numbers
2- Even numbers
3- Sum of the digits is divisible by 3
4- Divisible by 2 Twice
5- Ends in a 0 or 5
6- Divisible by 2 And 3
8- Divisible bye 2 thrice (three times)
9- Sum of he digits is 9
10- ends in 0
Circle Formulas:
C=πd this is used to measure the circumference of a circle
C=2πr twice the radius is the diameter
A=πr2 this is used to measure the area
d=2r this is used to measure the diameter
C=2πr twice the radius is the diameter
A=πr2 this is used to measure the area
d=2r this is used to measure the diameter
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
-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.
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 number that you must arrange in order from least to greates.
Median- the middle number
mode-most
mean-average
range- start to the end
outlier-larger value
Can be the mean, median, or mode
Data set is a group of number that you must arrange in order from least to greates.
Median- the middle number
mode-most
mean-average
range- start to the end
outlier-larger value
Exam Notes
-Perpendicular Bisector: line that bisects a different line segment into 2 equal parts.
-Perpendicular: 2 lines that intersect at a 90 degree angle.
-Parallel Lines: 2 lines on the same plane that never meet. (same distance apart)
-Intersecting: 2 lines that cross, 'intersect', at any point.
-Angle Bisector: dividing the angle into 2 equal parts.
eg. 90 degrees divided into two is 45 degrees.
-Perpendicular: 2 lines that intersect at a 90 degree angle.
-Parallel Lines: 2 lines on the same plane that never meet. (same distance apart)
-Intersecting: 2 lines that cross, 'intersect', at any point.
-Angle Bisector: dividing the angle into 2 equal parts.
eg. 90 degrees divided into two is 45 degrees.
Exam Notes
Mean- Add up all values and divide it by how many values there are.
Median- The middle number in a set of ordered values, might be the mean of 2 middle values.
Mode- The value that shows up the most.
Range- Positive difference between largest and smallest values.
Outlier- Values that are too big or too small compared to the other values.
Eg. 18, 19, 79, 17, 20, 12
Mean = 12, 17, 18, 19, 20, 79
12+17+18+19+20+79 =27.5
6
Median = 12, 17, 18, 19, 20, 79 =18.5
Mode = 12, 17, 18, 19, 20, 79 = No Mode
Range = 12, 17, 18, 19, 20, 79
79+12=91
Outlier = 12, 17, 18, 19, 20, 79 = 79
Red = ordered from least to greatest
Blue = Answer
Median- The middle number in a set of ordered values, might be the mean of 2 middle values.
Mode- The value that shows up the most.
Range- Positive difference between largest and smallest values.
Outlier- Values that are too big or too small compared to the other values.
Eg. 18, 19, 79, 17, 20, 12
Mean = 12, 17, 18, 19, 20, 79
12+17+18+19+20+79 =27.5
6
Median = 12, 17, 18, 19, 20, 79 =18.5
Mode = 12, 17, 18, 19, 20, 79 = No Mode
Range = 12, 17, 18, 19, 20, 79
79+12=91
Outlier = 12, 17, 18, 19, 20, 79 = 79
Red = ordered from least to greatest
Blue = Answer
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