Math: Exam Review

A spread sheet organizes date 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

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Circle Formulas

c = π d
c = 2 π r
d = 2r
A = π r²

Are is the measure of space, a two dimensional shape covers

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Sectors of circle graphs are made from central angles.

If the sector covers 25% of the graph the central angle is 25% of 360° which is 90° (0.25 x 360)



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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

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Opposite integers have the same numeral but a different sign e.g 3 and (-3)

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

Practice with different numerals in each situation

Math Practice Questions

Convert the following written statements to mathematical:

1) 3 less the fish John had is 18.
2) Matt is a quarter of his dad's age, his dad's age is 48.
3) The dog is three times older then Annie, her age is 15.
4) Jane's height is three times less than her brother's height, his height is 6.
5) The phone calls from yesterday was 9 times more today and the calls were 108.

Solve the following algebric equations:

1) 5n = 200
2) n + 26 = 40
3) 2n - 27 = 11
4) n + 5 = 18
5) 2n + 18 = 26

Hope these questions will help you!

Here's a link on Algebraic Equations. Sorry I couldn't add a video, it wouldn't let me add one.

Measures of Central Tendency

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

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
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 4,5,5,6,9,1,3,5,8,6
1,3,4,5,5,6,6,8,8,9

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

Heres a video!
http://youtu.be/81zcjULlh58

Heres a link!
http://www.basic-mathematics.com/measures-of-central-tendency.html

Measures Of Central Tendency

Measures of Central Tendency- a value that represents the centre of a data set
Data set is a group of numbers 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 order
median of 2, 5, 6, 8, 9 is 6

Mode- the most frequently occurring number in a set of data
mode and most both have 4 letters
mode of 3, 5, 7, 7, 9 is 7
mode of 2, 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 central tendency, the sum of a set of values divided by the number of values in the set
mean of 6, 4, 8 is 6 6+4+8=18 18 divided by 3= 6

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

Outlier- a value that is much larger or smaller than the other data value
the data set may have more than 1 outlier or 0 outliers
outlier of 1, 64, 65, 67, 67, 68, 100 is 1 and 100

Here is a video link:

http://www.youtube.com/watch?v=TD_utDA7P6A&feature=related

Math: Exam Review p.2

Write an addition statement for the following diagram


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

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Variable is an unknown number

expressions contains variables, operations. and numbers, in any combination. (not an equal sign)

Practice finding the pattern
eg. 24, 21, 18, 15. . .
and write equations for the patterns
e.g 27-3n

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Plot ordered pairs and determine whether or not they make a pattern

Determine the linear relation (equation) from a graph or table of values





Y= 2x

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Mean - add up all values divided by how many values three 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. (Big one take away the little one)

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Write expressions or equations when given pictures
eg.


Create diagrams or pictures when given the expression of equation.

Expression:
3x - 4

Equation:
2y + 3 = 15

Measures of Central Tendency

Measures of Central Tendency

    a value that represents the center of a data set

can be the mean, median, or the mode

data set is a group of numbers that you must 

arrange in order from least to greatest.

the middle number in a set of data that have been ordered.

Philip's question: 1, 2, 7, 8, 9, 10
Answer

Mode- the most frequently occurring number is a set of data (number that shown up the most)

mode and most both have four letters

Mean- a measure of central tendency 

the sum of a set of values divided to the number in the values of set

add up all the numbers. divide that by how many numbers there are.

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

~~~~~

Outliers- a value that is much larger or smaller than the other date value

the data set may have more than one outlier

Find mean, median, mode, range and outliers for the following data set.

Answer that >.O 

LINK: GAME 1

VIDEO: CLICK HERE

OTHER SUGGESTED VIDEOS/LINK

V1

V2

V3

V4

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V6

G1

G2

Measures of central tendancy

Here's a video:

Equations and Opposite Operations

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

 

Model: 8 times a number plus 4 is 12

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Numerical coefficient: 5

Variable: y

Operation: -

Constant: 6

Equation: =

Expression: 9

Model it!

 ......

 

Opposite Operations

+,-

x,÷ 

-,+

÷,x

Examples that we did ~

 2)

 

MORE WAYS TO HELP YOU:

Link: CLICK HERE!

WATCH THIS~

HOMEWORK BOOKLET: Pg 130-133

Math Notes

Here is video:

Math Notes For June 2nd

Show Every Step And Check

A +4=10

first you use reverse operation and eliminate the +4 with a negative 4

when you eliminate the +4 all you have left is a

A=6

Check

Sub. 6 for all the a's you see

A+4=10

6+4=10

10=10

here are the other few we did

B-2=5

use reverse operation to eliminate the -2

B-2+2=5+2

what you are left with is

B=7

Check

Sub. 7 for any b's you see

7-2=5

3c=21

3c/3=c

21/3=7

c=7

3(7)=21

3x7=21

21=21

Check

w/3=6

3x w/3=6x3

w=18

Check

18/3=6

for these ones you have to eliminate the addition and subtraction before the multiplication and division.

2j+1=9

2j+1-1=9-1

2j=8

2j/2=j

8/2=4

j=4

Check

2(4)+1=9

2x4=8

8+1=9

9=9

f/3-2=1

f/3-2+2=1+2

f/3=3

3x f/3 =3x3

f=9

Check

9/3-2=1

here is a link to help you understand how to solve algebra equations

hope this helps :)

videos wont load properly so sorry for any inconvenience

Equations

Equations -
          mathematical statement with two expressions that have the same value. e.g.

- Model 8 times a number plus 4 = 12 in a mathematical statement









you have to know:

 examples of equations:

here is a link that might helphttp://www.math-videos-online.com/solving-equations-games.html

                                             

Patterns and Expressions Definitions

For example: x, 4, n

For example: 8, y+5, 6y-1

For example: in 3y+ 1=13. The 1 is the constant

For example, in 3y + 1= 13. The 3 is the numerical coefficient

Here’s a video and link to help you more with Patterns and Expressions.

Patterns And Expressions

Patterns- Are arrangements of shapes, colours, letters, numbers, etc. For which you can predict what comes next

Constant- A number that does not change. Increases or decreases the value of the expression no matter what the value of the variable
Example: 2x+4, 4 is the constant

Variable- A letter that represents an unknown number
Example: 2x+4, x is the variable

Numerical Coefficient- A number that multiplies the variable
Example: 2x+4, 2 is the numerical coefficient

Expression- Any single number or variable, or a combination of operations involving numbers and variables
Example: 2y-7, 11x, and 14 are expressions

Equation- Mathematical statement with two expressions that have the same value
Example: x+2=3, y-7=(-4)

Value- A known or calculated amount

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

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

Relationship- A pattern formed by two sets of numbers

Patterns and Expressions

Patterns- are arrangements of shapes, colors, numbers, letters, words, and so on. For which you can predict what comes next.
Example:

Variable- A letter that represents an unknown number

Expression- Any single number or variable, or a combination of operation involving numbers and variables.

Value- A known or calculated amount

Constant- A number that does not change increases or decreases the value of the expression no matter what the value of the variable. 

Numerical Coefficient- A number that multiplies the variable.

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Let the variable C represent the unknown number of counters in the cup shown in the diagram. What is an expression for the total number of counters shown?

Answer:

Use cups and and counters to model the expression 3x + 3

Evaluate:  3x + 2 when

☺x = 3

☺x = 4

Other examples;

Online games to help YOU!

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