Exam Review

Define

Perpendicular- Two lines that intersect at a right angle.
Parallel- Lines that never cross or intersect.
Intersecting- When lines cross at any angle.
Perpendicular Bisector- A line that divides a line into exactly two.
Angle Bisector- A line that divides an angle into exactly two.
Acute Angle- An angle that is smaller than 90 degrees.
Obtuse Angle- Any angle that is larger than 90 degrees but smaller than 180 degrees.
Right Angle- a 90 degree angle.
Formula for the Area of a Triangle- b x h divided by two.
Formula for the Area of a Parallelogram- b x h.

Label

Perpendicular

Perpendicular Bisector



Intersecting

Parallel

Find the Area of the Parallelogram


a= b x h

a= 50 x 20

a= 1000m2

Find the Area of the Triangle

a= b x h divided by 2

a= 10 x 12 divided by 2

a= 120 divided by 2

a= 60m2

Label

Acute Angle

Angle Bisector

Obtuse Angle

Right Angle

Convert Fractions, Decimals and Percents

Fractions are out of any whole number.

Percent is out of 100.

Decimals are out of 1.

DON'T FORGET THE MATH PACKAGE
Here is a link!!!
Here is a video!!!

Term 3 homework package

Your homework package is due Monday June 7 2010.
Please hand the package to me in the following order.

1. pg. 449 - 451 # 3 - 16
2. pg. 444 - 445 # 1 - 8
3. pg. 426 - 427 # 1 - 17
4. pg. 405 - 407 # 1 - 21
5. pg. 327 - 329 # 1 - 21
6. pg. 319 - 322 # 1 - 23
7. pg. 313 - 315 # 1 - 20
8. pg. 270 - 272 # 1 - 15
9. pg. 249 - 251 # 1 - 3
10. pg. 220 - 221 # 1 - 14

If you are disorganized and can't find your homework from term 3, you will have to redo any pages you are missing. Log on to mytextbook.ca for the pages you need to complete.

Exam Review

Term 2 Test: Thursday June 3rd.

Topics
Fractions - adding, subtracting like and unlike denominators and mixed numbers.
Integers - adding, subtracting positive and negative numbers using number lines or chips
Algebra - 1 step, 2 step problems and checking your work.
Measures of Central Tendency - Mean, Median, Mode, Range and outlier.
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Exam Review Study Guide.


Solve: 27.53+1.09+62.78+9.17=?

27.53+1.09+62.78+9.17= 101.27

Simplify: 849.37-26.08-329.165=?

849.37-26.08-329.165=494.125

Evaluate: 13.94x22=?
13.94x22=306.68

Answer: 451.231 ÷ 24.13=?
451.231 ÷ 2413=18.7

Find: 223.8704 ÷ 3.76=?
223.8704 ÷ 3.76=59.54

6 + 2 x 4=
6 + 8 =
14
B.E.D.M.A.S
8 ÷ (1+3)(6-2)+3² =
8 ÷ 4 x 4 + 3² = Brackets
8 ÷ 4 x 4 + 9 = Exponents
2 x 4 +9 = Division
8 + 9 = Multiply
17

4 ³ -(5x2-5) - (20+13x3)=
4 ³ - 5 - 59 = Brackets
64 - 5 - 59 = Exponents
59 - 59 = Subtract
0

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REMEMBER TO STUDY FOR THE TEST ON THURSDAY!!


Here's a few links to help you study for the test!:


Fractions
Integers
Algebra
Measures of Central Tendency

Here's a video about B.E.D.M.A.S:

Exam Review Study Guide

As you all know, the exams are coming up soon.This is a review of all the things we've learned in Math this semester, so you better start studying.

You must know how to define:
Translation: a slide along a straight line.
Rotation: a turn around a fixed point.
Reflection: flip over a mirror line.
















Remember: a mirror line can be anywhere, not only as an axis.

Make this shape: (0,0) (3,0) (3,8) (0,8)


Let's hope, you all remember what a coordinate grid is. If not, here's a review.

Cartesian Plain/Coordinate Grid: A vertical, up and down number line, that meets a horizontal number line.
x-horizontal number line
y- vertical number line.
Origin: where the x number line and y number line intersect.
Quadrants: The four regions on a coordinate grid.
Coordinates: the value of an ordered pair.

These are the quadrants on a coordinate grid(I hope you all know your roman numerals)


















You must also be able to identify the signs of each quadrant:

Quadrant 1: (+,+)
Quadrant 2: (-,+)
Quadrant 3: (-,-)
Quadrant 4: (+,-)

Now that you know this, try to find which quadrant each letter is in and it's coordinates.
















A- Quadrant 1 (3,1)
B- Quadrant 1 (1,3)
C- Quadrant 2 (-2,1)
D- Quadrant 3 (-1,-1)
E- Quadrant 4 (2,-2)

What is the horizontal and vertical movements of point C to E?

















4 units horizontal (right)
3 units vertical (down)

Note: The Horizontal movement is always identified first.

Where is the mirror line?

A line intersecting the y axis at positive 1.














If you still having trouble here's a link to a fun site that may be of use. Click here.

Effects of Outliers

Find the mean, median, mode, range, and outliers of the following data sets.

a) 12, 20, 18, 15, 10, 12

First you have to reorder the data set from least to greatest. 10, 12, 12, 15, 18, 20

mean= 14.50 (always round to 2 decimal places.)

median= 13.5

mode= 12

range= 10

outlier(s)= none

b) 48, 32, 67, 47, 95, 89, 888, 1

First you have to reorder the data set from least to greatest. 1, 32, 47, 48, 61, 67, 89, 95, 888

mean= 147.56 (always round to 2 decimal places.)

median= 61

mode= 152.78

range= 887

outlier(s)= 1 and 888


Effects of Outliers

Some outliers need to be removed from a data set. This is typically a judgement call.

Outliers have an effect on all measures of central tendency.


Here is a link that may help you understand outliers better.


HOMEWORK: pgs. 444-445 1-8

Range & Outliers

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

To find the range:

First, you have to reorder the numbers from least to greatest.
Second, you have to subtract the least number from the greatest number.



Eg.
1. Set of data: 6, 2, 9, 4, 3
a) 2, 3, 4, 6, 9
b) 9 - 2 = 7
Therefore, the range is 7.

1. Set of data: -8, -1, -3, -5
a) -8, -5, -3, -1
b) (-1) - (-8) = 7

Therefore, the range is 7.

Find the range:

1. Set of data: 7, 4, 3, 6, 2, 5, 8, 3
a) 2, 3, 3, 4, 5, 6, 7, 8
b) 8 - 2 = 6
Therefore, the range is 6.

2. Set of data: 11, 8, 8, 5, 7, 6, 7, 6, 6
a) 5, 6, 6, 6, 7, 7, 8, 8, 11
b) 11 - 5 = 6
Therefore, the range is 6.

3. Set of data: -4, 3, -1, 0, 2
a) -4, -1, 0, 2, 3
b) 3 - (-4) = 7
Therefore, the range is 7.




Outlier - Value that is much smaller or larger than the other data values. Also note that, a data set may contain one or more outliers, or none at all.

To find the outlier:
First, you have to reorder from least to greatest.
Second, identify the number(s) which are much greater or lower than the other values.

Find the outliers of the following:






















Here is a link on range.

Here is a video of range and outliers. Enjoy!

Range and Outliers

Range

• The positive difference between the largest and smallest value in a data.

Here are some examples:

1st- Reorder the data by least to greatest
2 ,3 ,4 ,6 ,9

2nd - Find the largest value and smallest value

2 and 9

3rd- Subtract the lowest value to the highest value

9-2=7
Then you'll get your range

Here are some more examples:

-8 , -1 , -3 , -5
reorder
-8 , -5 , -3 , -1
Find the high and low value then subtract
(-1)-(-8)=7

Outliers

• A value that is much smaller or larger than the other data values
  
• A data set may have one or more outliers or no outliers

Find the Range:

a) 7 , 4 , 3 , 6 , 2 , 5 , 8 , 3

2 , 3 , 3 , 4 , 5 , 6 , 7 , 8
8-2=6
6 is your range

b) 11 , 8 , 8 , 5 , 7 , 6 ,7 , 6 , 6

5 , 6 , 6 , 6 , 7 , 7 , 8 , 8 , 11
11-5=6
6 is your range

c)-4 , 3 , -1 , 0 , 2

-4 , -1 , 0 , 2 , 3
3-(-4)=7
7 is your range

Find the outliers:

a) 18 ,19 ,79 ,17 ,20 ,12
12 ,17 ,18 ,19 ,20 ,79 = 79

b) 14 ,14 ,16 ,15 ,1 ,16
1 ,14 ,14 ,15 ,16 ,16 = 1

c) 98 ,202 ,99 ,91 ,2 ,95 ,89 ,88 ,94
2 ,88 ,89 ,91 ,94 ,95 ,98 ,99 ,202= 2 and 202

Here is a website to help you.

Homework:
www.mytextbook.ca
Pages 437 - 439