Range And Outlier

Range- the positive difference between the largest & smallest values in a Data set.

example-

4 6 9 8 4 4 7 8

4 4 4 6 7 8 8 9

9-4= 5 ------ so the range is 5

You Don't Get Range? Then Click this!

Outlier- a value that is much longer or smaller than the other data values. The data set may have more than 1 outliers, or none at all.

example-

1 5 9 7 3 8 43

1 3 5 7 8 9 43 ----- the odd one out is 43, so the outlier is 43

You Don't Get Outlier? Then Click this!

You Still Don't get Both of them? Then check this video out!

To Test you...


Here's a Question....

Here's the answer!

If you got that correct then CONGRATS!! You know how to do range and outlier now... YOUR WELCOME :)

Mean, Median and Mode

Measures of central tendency- A value that represents the centre of the data set (Mean, Median or Mode)
Data set is a group of numbers that you must arrange in order least to greatest.

example-
2 8 4 8 6 5 1 1 6 4 9
1 1 2 4 4 5 6 6 8 8 9

Mean- a measure of central tendency; the sum of a set of values divided by the number of values in the set.

example-
 3 4 9 8
3+4+9+8=24
24 divided by 4 is..
6 --- So that means 6 is the mean.

Don't Get Mean yet? Then Click here!

Median- The middle number in a set of data after the data has been arranged in order.


example-
9 8 5 2 3
2 3 5 8 9 ----in this the middle is 5. so the median would be 5

3 6 7 8 9 5 7 9
3 5 6 6 7 7 8 9 ---- in this there are 2 middles... or none. So in this case 6 and 7 are in the middle so then the median would be 6.5

Don't Get Median yet? Then Click Here!

Mode- the most frequently occurring number in a Data set.


example-
3 5 6 8 4 8 9 8
3 4 5 6 8 8 8 9 ----- the number that appears most is 8... so then the mode is 8


Don't Get Median yet? Then Click Here!


Still don't get any of it? Then check this video out!






To Test you...


Here's a Question....

Here's the answer....

If you got this correct, then CONGRATS!! You know how to do Mean, Median, and Mode! YOUR WELCOME :)

New Circle Information

Circle Graphs (pi charts)- a graph made of a circle; a graph that represents data using sections of a circle.

Sector- is a section of a circle made up of 2 radii and an arc joining them.

EXAMPLE:

What percentage is the missing sector? 7%

TRY: 1000 kids were asked what type of music they like. Here's the result. How many kids like country and folk music?

Here's a Video to help!

Need Extra Help? Well Here You Go! 

Circles

Diameter is the distance across a circle through its centre

Some Examples:

Radius (radii is the plural) is the distance from the centre of a circle to its outer edge

Some Examples:

We can do the formula 2R=D this means that 2 radii are needed to make a diameter of a circle.
1/2 x D = R
D/2 = R
Example:











Here's a video....




This has some extra things but it's still helpful.




More Help? Then Check this out. (it has some extra stuff but it still helps)

Geometry #1

Parallel Lines are lines in the same plain that NEVER touch.

2 Examples:
















Intersecting Lines are lines in the same plain that meet or intersect.

4 Examples:















Perpendicular are lines in the same plain that intersect at a 90 Degrees Angle

3 Examples:















Line Segment is a piece of a line with starting and ending points.

Example:















Try to name all the 7 line segments in this picture.

Here's A video..











Here's a link TO HELP YOU. This is Another link to help if you don't understand the first link!

4. Write each addition statement shown, then solve.




















A) 1 1/6 + 1 = 2 1/6
Step 1: Fractions. 1/6 = 1/6
Step 2: Whole #'s. 1+1 = 2
Step 3: Combine. 2 1/6

B) 1 2/6 + 1 4/6= 2 6/6 = 3
Step 1: Fractions. 2/6 + 4/6 = 6/6 = 1
Step 2: Whole #'s. 1+1+1= 3
Step 3: Combine. 3

C) 1 4/5 + 2 1/5 = 3 5/5 = 4
Step 1: Fractions. 4/5 + 1/5 = 5/5 = 1
Step 2: Whole #'s. 1+1+2= 4
Step 3: Combine. 4

Homework Booklet Page 81

5. Add. Write your answers in lowest terms. Show your work.


A) 2 1/2 + 1/2 = 3
Step 1: Fractions: 1/2 + 1/2= 2/2 = 1
Step 2: Whole Numbers: 2 = 2
Step 3: Combine: 3


B) 1 1/4 + 2 1/4 = 3 1/2
Step 1: Fractions: 1/4 + 1/4 = 2/4 = 1/2
Step 2: Whole Numbers: 2+1= 3
Step 3: Combine: 3 1/2


C) 2 1/10 + 3 3/10 = 5 2/5
Step 1: Fractions: 1/10 + 3/10= 4/10 = 2/5
Step 2: Whole Numbers: 2+3= 5
Step 3: Combine: 5 2/5


D) 4 2/5 + 3 4/5 = 8 1/5
Step 1: Fractions: 2/5 + 4/5 = 6/5= 1 1/5
Step 2: Whole Numbers: 1 + 4 + 3 = 8
Step 3: Combine: 8 1/5

Homework Booklet Page 83

10. Lars ran 6 2/3 laps of the track at his school. Renata ran 8 1/4 laps

A) How much further did Renata run? Show your work.
8 1/4 - 6 2/3= XXXXX

Step 1: Fractions. 1/4 - 2/3=
L.C.M.- 4- 4, 8, 12, 16 ----------- 3-3, 6, 9, 12
Equivalent Fractions: 1/4 = 3/12 --- 2/3 = 8/12

3/12 - 8/12= XXXXX
Borrow From the whole number : 12/12 + 3/12 - 8/12= 15/12 - 8/12= 7/12

Step 2: Whole Numbers. 8-6= XXXX Remember you borrowed the whole number??
7-6=1

Step 3: Combine. 1 7/12


CONFUSED??! Here In PICTURE version

There.

Adding Mixed Numbers With Unlike Denominators

Here's a QUESTION FOR EXAMPLE:

6 3/8 + 7 3/16

STEP 1: Look for the L.C.M (lowest common multiple) 8-8, 16-------16-16

STEP 2: Make equivalent with this... 3/8= 6/16---------3/16=3/16

STEP 3: Deal with the FRACTIONS .....6/16 + 3/16 = 9/16

STEP 4: Deal with the WHOLE NUMBERS 7+6=14

STEP 5: Combine! 14 9/16

GET IT???!!!

If you don't it's VIDEO TIME!!!




Not yet?? PICTURE TIME!!





























STILL??!!??!? Then Check this OUT!

Adding Mixed Numbers With Like Denominators

If You Forgot What's a Mixed Number : A mixed number is made up of a whole number and a fraction Such as : 6 1/2 This is NOT mixed number 6 9/3

Here's a QUESTION FOR EXAMPLE: 9 3/6 + 3 1/6=?

STEP 1: Deal with the FRACTION THAT ALREADY HAVE COMMON DENOMINATORS!! Simplify too!!
3/6+1/6= 4/6= 2/3


STEP 2 : Deal With the WHOLE NUMBERS

9+3=12


STEP 3 : Combine them together!!

12 2/3

Get it??!?


Here's a video. The steps for this aren't in order or in detail .But this is the best video I could find.




And a Picture made by me.



















And Check This Site Out!!

Divisibility Rule For 5

5 is Divisible by any number that ends in a 0 or 5.

E.g. 0, 5, 10, 15, 20, 25, 30, 35, 40.....And so on.

It's Not Divisible by 2, 9, 6, 3, 8.....!!!!!

Is This Divisible by 5?

265415

Yes!! Because it ends in a 5.....

Now Here's A Picture

BEDMAS

Really Late Post... I Was Away on that day and I need to catch up...

BEDMAS Is The Order of this Operation. BEDMAS Stands For B-Brackets, E-Exponents, D-Division, M- Multiplication, A-Addition and S-Subtraction.

Let's Try It!

7x9+(6-3)x2

7x9+3x2 (Brackets First)

63+3x2 (Multiply)

63+6 (add)

69 There's your answer..

Now Here's Another example

Need More Help?? Here's A Video to help explain..

How To Do #20 In The Number Of The Day Booklet

20. Write a fraction using the 1000s place as the denominator and the tenths place as as the numerator.

Take the number in the 1000s place and put it as the Denominator then take the number in the tenths place and put it as the numerator ( or do it the other way around).

example: 4567.892
8/4= Improper Fraction (Top is greater than the bottom)
8- Numerator: Top Number
4- Denominator: Bottom Number

Hope The Picture Helped!

Textbook # 9 Page 137-139

9. Write each repeating decimal number using bar notation

a) 0.4444444... = Put the bar notation on the 4 :..._

0.4

b) 0.2666666... = Put the bar notation on the 6 .... _

0.26

c) 0.1851851... = Put the bar notation on the 185 :...___

...........0.185

d) 1.0626262... = Put the bar notation on the 62 :....__

.....1.062

for A you only have to put the bar notation 4 because that was the only number that was repeating.

for B you have to do that because you only put the bar notation on the #'s that are repeating, because 2 never repeated so then you don't put the bar notation on 2 only on the 6.

for C you have to put the bar notation on 185 why? well because 185185... is repeating so since they all are repeating you have to put the bar notation on 185.

for D you have to put it on only 62 because the 0 isn't repeating and because both 6 and 2 are repeating so you have to put the bar notation on both of them.

If You Still Don't Understand Check out this Website! there is some questions and answers too!

I Hope you understand more!

Math Notes!

Percent- Out of 100 E.g. 40% = 40/100
3% = 3/100 (if you understand keep reading)

Find percents of a number using a ratio table. Find 50% of 16

Ratio Table

%|#
÷2 100|16 ÷2
÷2 50|8 ÷2
What you do on the left, you do the same on the right.

Find 25% of 20
% | #
÷2 100|20 ÷2
÷2 50|10 ÷2
÷2 25|5 ÷2

Find 75% of 40
% | #
÷2 100|40 ÷2
÷2 50|20 ÷2

÷2 25|10 ÷2
÷2 75|30 ÷2

Find 60% of 30
% | #
÷2 100|30 ÷2
÷5 50|15 ÷2
x6 10|3 ÷2
60|18 ÷2

Find 12.5 of 64

% | #

÷2 100|64 ÷2

÷2 50|32 ÷2

÷2 25|16 ÷2

÷2 12.5|8 ÷2

Fractions

a/b Both Whole #'s e.g 1/2

Decimals

a/1 e.g 0.5/1

Percents

a/100 e.g 50/100 or 50%

an example question about what we are or have to learn.

÷4 x100

1/4 = 0.25/1 = 25/100 or 25%

÷4 x100

Remember what you do on the top you do on the bottom!

Homework Question and my answer!:

Find 37.5% of 48

%|#

÷2 100|48 ÷2

÷2 50|24 ÷2

÷2 25|16 ÷2

÷2 12.5|8 ÷2

x3 37.5|24 x3