Measures of Central Tendency

here is a link to help you with measures of central tendency!

also, here's a video to help you understand more!

http://www.youtube.com/watch?v=81zcjULlh58

Math Exam Review- Integers

Here's a link and a video about integers to help you study for exams

Link

Video:

Measurement of Central Tendancy

Measures of Central Tendency
- A value that represents the center of a data set
- Can be the mean,median, or mode
Data Set - is a number that you must arrange in order from least to greatest

Median - the middle number in a set of data after the data have been arranged in ordereg.
- median of 2,5,6,8,9 is 6
- median of 1, 3, 6, 8, 9, 10 is 7

Mode - the frequently occurring number in a set of data
mode and most have 4 numbers
- mode of 3,5,7,7,9 is 7
- mode of, 2, 4, 6, 6, 8, 11 is 2 and 6
- mode of 1, 2, 3, 5 is no mode
- mode of 1, 1, 1, 2, 2, 2, 3, 3, 3 is no mode
- mode of 1, 1, 1, 2, 2, 2, 3, 3, 3, 4 is 1, 2 and 3

Mean - a measure of a central tendency, the sum of the set of value divided by the number of values in the set (add up all the numbers, divide that by how many numbers there in the set.)
- mean of 6,4,8 is 6
4,6,8
4+6+8=18

Range - The positive between the largest and smallest values in a data set
- range of 1,3,4,5,5,6,6,8,8,9
9 - 1 = 8
- range of -7, -4, -2, -1
(-1) - (-7) = 6

Outlier - a value that is much larger or smaller then the other data value
the data set may have more then 1 outlier or 0 outliers
outliers are 1,67,67,67,65,100 - 1 and 100

Here is a link/game on calculating median, mode, mean and range
Here is a video:

Integer Review

This is an exam review for integers

Negetive number represent values below 0 and positive number represent values above 0.

Real life examples are sea level (above or below sea level) and temperature (above or below 0 degrees)

1+(-2)=(-1) is a 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 (+)+(+)= + (-)+(-)= - (+)+(-)= + or - (-)+(+)= + or - (+)-(+)= + or - (-)-(-)= + or - (+)-(-)= + (-)-(+)= -

Pratice with different numerals in each situation

Write an addition statement for the following diagram

5+(-12)+4=(-3)

Take this quiz to see how much you know about integers.

More Equation examples (Math notes for 06/03/11)

Write an Equation

Answer: 4+2=10

Solve for the variable

A+3=4

More examples:

HOMEWORK FOR TODAY IS: 

Page 134-139

Link: CLICK HERE!

VIDEO .. Watch to learn more about Equations 

OTHER SUGGESTED VIDEOS:

1. http://www.youtube.com/watch?v=B4bVlDgHF5I

Solving Two - Step Equations

Step 1 (Solve) - All your trying to do is isolate the variable.

So first you add -4 to +4, then add -4 to 10, because if you

do something to one side, you have to do it to the other.

A + 4 = 10

A + 4 -4 = 10 -4

A = 6

Step 2 (Check) - Rewrite your equation, replace the variable

with whatever number it equaled. If your answers are the

same on both sides then you are correct.

A + 4 = 10

6 + 4 = 10

10 = 10

Here are more equations!

Step 1 (Solve) Step 2 (Check)

B - 2 = 5 B - 2 = 5

B - 2 +2 = 5 +5 7 -2 = 5

B = 7 5 = 5

Step 1 (Solve) Step 2 (Check)

3c = 21 3c = 21

3c/3 = 21/3 3(7) = 21

c = 7 21 = 21

Step 1 (Solve) Step 2 (Check)

w/3 = 6 w/3 = 6

x3 w/3 = 6 x3 18/3 = 6

w = 18 6 = 6

Step 1 (Solve) Step 2 (Check)

2j + 1 = 9 2j + 1 = 9

2j + 1 -1 = 9 -1 2(4) + 1 = 9

2j = 8 8 + 1 = 9

2j/2 = 8/2 9 = 9

j = 4

Step 1 (Solve) Step 2 (Check)

f/3 - 2 = 1 f/3 - 2 = 1

f/3 - 2 +2 = 1 +2 9/3 - 2 = 1

x3f/3 = 3x3 3 - 2 = 1

f = 9 1 = 1

Homework Booklet Pages 130 - 133

Heres a link to help you out! :)

Watch this video as well! :)

Solving Two- Step Equations

Now here's some other examples:

HM: pg. 130- 133

Here's a link and a video to help you learn more about Patterns and Expressions

Link

Video:

Equations

Equations - mathematical statement with 2 expressions that have the same value
eg : x+2=3 , y-7 = (-4) , 3a-2 = 9+2 , b=4

Model 8 times a number plus 4 is 12
8n+4 = 12

Identify : 5y-6 = 19
variable = y
numerical coefficient = 5
constant = 6




Opposite Operations
+, -
x , ÷
- , +
÷ , x

a+1 = 3
a+1-1 = 3-1
a = 2

Sub
a+1 = 3
2+1 = 3
3=3



Reverse order of operation

4c-3 = 17
4c-3+3=17+3
4c÷4 = 20÷4
c = 5

Sub
4c-3=17

4(5)-3=17
20-3=17
17=17

here is a game on sovling algebra equations!

here is a video on solving an algebra equation.

Equation

Equation- mathematical statement with two expression that have the same value

Eg.

Model: 8 times a number plus 4 is 12 8n+4=12

5y-6=19

numerical coefficient =5

variable =5

constant =6

C+(-3)=(-6) Brackets in this equation is use to reduce confusion.

Opposite Operations

A+1=3

A+1-1=3-1

A=2

Sub A+1=3

2+1=3

3=3

reverse order of operation

4c-4=17

4c-3+3=17+3

4c=20

4c÷4=20÷4

c=5

sub 4c-3=17

4(5)-3=17

20-3=17

17=17

Here is a website of equations

Here is a video of solving algebra equations.

Patterns and Expressions Definition

Patterns are arrangements of shapes, colors, numbers, letters, words, and etc. for which you can predict which comes next.

Variable - a letter that represents an unknown number.
eg : x, A, n

Expressions - any single number or variable, or combination of operations ( +, -, x, / ) involving numbers. eg : 5, r, 8t, x+9, 2y, -7

Value - a known or calculated amount

Constant - a number that does not change. Increase or decrease that value of an expression.

Numerical Coefficient - a number that multiples the variable





Linear Relation - a pattern made by two sets of numbers that results in points along a straight line on a coordinate grid
eg :


Graph - a visual way to show how two sets of numbers relate to each other

Relationship - a pattern formed by two sets of numbers

Math game on graphing linear relations

Video :

Patterns and Expressions

For example, in 3y + 2= 14. The 2 is the constant

For example, in 3y + 2= 14. The 3 is the numerical coefficient

Here's a video and a link to help you learn more about Patterns and Expressions.

link

Divisiblility Rules

Today in class we talked about different kinds of diagram.

Carroll Diagram- is a table used to show how numbers are the same and different

Example



Use Carroll Diagram to sort 30, 79, 162, 3996, 23517, 31974



A Venn Diagram shows relationships between groups of numbers

Example


Use Venn Diagram to sort 93, 540, 955, 8060, 67982, 84430


Common Factor

A number that two or more numbers are divisible by


Example: 4 is a common factor of 8 and 12


Find the factor of 24


Find the factor of 32


Find the common factor of 24 and 32


Find the greatest common factor

The common factors are 1, 2, 4, and 8.


The greatest common factor is 8.


Homework:


Find the factors of 18


Find the factors of 30


Find the common factors of 18 and 30


Find the greatest common factor of 18 and 30


Here is a link about Venn Diagrams.


This is a video about finding the greatest common factor between two numbers.



Remember to study for the quiz tomorrow!

Probapility Question

What is the probability of of getting the sum of 7 when rolling two six sided dice?

Notice how the picture equals 7.

Probability

ANSWER: 4/9, 4: 9, 44.4%

Here's a link to help you learn more about probability.

Here a video on probability.