Wednesday, October 13, 2010
Monday, June 21, 2010
Define
perpendicular- Describes line that intersect at right angle
Parallel- Line that never meet
Intersection- Line that Cross at any angle
perpendicular bisector-A line that divides a line segment in a half
Angle bisector- of a triangle is a line segment that bisects one of the vertex angle of a triangle.
acute angle- An acute angle is one which is less than 90°
Label
Parallel
Intersection
Angle bisector Perpendicular bisector
Friday, June 18, 2010
Measures of Central Tendancy
You can find the mean by the sum (adding) of a set of values divided by the number of values in the set.
eg. 4,5,8,9,9
=4+5+8+9+9 / 5
=35 / 5
=7 <- that is the mean or average
mean-7
median-7
mode-7
b)300,250,400,300,250
-250,250,300,300,400
mean-300
median-300
mode-250 and 300
Measure of Central Tendency
- can be mean, median, mode
Median - the middle number in a set of data after the data has been arranged or ordered
eg. 2, 5, 6, 8, 9 median is 6
eg. 1, 3, 6, 8, 9, 10 median is 7
*add the two middle values together then divide by two : 6 + 8 = 14 14 divided by 2 = 7
*to find the median of data sets with an even number of values (eg. 2, 3, 4, 5, 6, 7) you have to use the above steps (add together , divide sum by 2, or in other words, find the mean/average)
Mode - the most frequently occuring number in a set of data
eg. 3, 5, 7, 7, 9 mode: 7
eg. 2, 2, 4, 6, 6, 8, 11 mode: 2 and 6
eg. 1, 2, 3, 4 mode: none
eg. 1, 2, 2, 2, 3, 3, 4, 4 mode: 2
eg. 2, 3, 2, 3, 4, 2, 4, 3, 4
2, 2, 2, 3, 3, 3, 4, 4, 4 mode: none
Mean - a measure of central tendency
- the sum (adding) of a set of values divided by the number of values in a set
eg. 4, 5, 8, 9, 9
= 4 + 5 + 8 + 9 + 9 divided by 5 = 35 divided by 5
= 7 - this is the mean
Mean - A. K. A. - average
Try these, find Mean, Median, Mode.
A) 7, 8, 6, 9, 9, 5, 7, 7, 8 ,4
4, 5, 6, 7, 7, 7, 8, 8, 9, 9 median: 7 mode: 7 mean: 7
B) 300, 250, 400, 300, 250
250, 250, 300, 300, 400 median: 300 mode: 250 and 300 mean: 300
Here are some websites to give you some extra help if you're still stuck.
http://www.mun.ca/educ/ed4361/virtual_academy/campus_a/losinskim/mean,median,mode.html
http://simon.cs.vt.edu/sosci/Site/MMM/mmm.html
Here is a link to a video that is catchy and helps to remember the mean, median, and mode.
http://www.youtube.com/watch?v=uydzT_WiRz4
Sorry it's a link, I couldn't get it to upload.
Props to Julibella :). I saw the video on her post and it gave me the idea to use it.
Measures of Central Tendancy
eg. 1+2+3=6/3 eg. 4,5,8,9,9
3 sets of values
=4+5+8+9+9/5
=35/5
=7<- this is the mean. a.k.a average
Try this mean, median, mode
A) 7,8,6,9,9,5,7,7,8,4
mean-7
median-7
mode-7
B) 300,250,300,300,400 pg.431-433 #2-16
http://www.youtube.com/watch?v=QH2obAPwfqk
-Here is a video about mean, median and mode. I hope it helps:)
exam review
Thursday, June 17, 2010
The expression for this would be 3c+5
This an expression because it's not asking for the answer.
Write an expression representing 3 more than six times a number.
bn+3 is the expression.
bn becaue these letters are kissing that's means it is mutyplying.
+ 3 means it adding 3 of course.
SO alway's remeber that a expression means
the question. NEVER ANSWER An EXPRESSION.
Jimmy leaves home with 20$ in his pocket. He stops at billy's house to collect the $15
he lent to billy. He then goes and buy's flowers for casey because it is her birthday. The flowers
cost $27, how much money does jimmy have left?
20+15=35
35-27=8
jimmy has 8 dollors left.
*cheack out this link that talks about expressions*
http://http://en.wikipedia.org/wiki/Mathematical_notation#Expressions
awesome vedio on evaluating expression.
Remeber to study for exams.
Math exam is on tuesday.
http://http://cemc2.math.uwaterloo.ca/wired_math/english/grade7/index.html
*Also try these fun math games to excersize your brain*
And don't wait for the last second to study here are some great study tips
START EARLY!
These are the top ten things that you need to know to Ace exams!
Give yourself plenty of time.
Cramming doesn’t work. It just doesn’t. When you start to study weeks ahead you have plenty of time to read everything. It also gives you time to ask questions about anything you don’t fully understand.
Use an Agenda.
Write your study time in your agenda, even if it’s only 20 minutes a night. An agenda is one of the best organizational tools you have to help you prepare for your exams.
Set up a study stadium.
Okay, it doesn’t have to be an actual stadium—just an area where you can leave your notes, your pencils, and your dictionary. Someplace where you are comfortable and where there is little distraction—that means no TV or blaring music!
Look at the big picture.
How many pages in total do you have to study? How much time? If you have 50 pages to cover in 10 weeks, then that is only 1page a night on weekdays, with weekends off. That’s not so bad! You can even write down what pages to study on what night.
Study a little bit every night.
When you start early enough you can easily avoid the stress and anxiety of pulling an all-nighter. And, you can move at a steadier pace—20 minutes a night is easier to handle than 7 hours the night before. By the week before the exam you’ll have read everything at least once and you’ll be prepared!
Make your own notes.
Look at the chapter or unit or section. What are the titles, heading and subheadings? Are there any bolded words? Write these down. These are key words, and they are great indicators to help you know what the material is about.
Put it in your own words.
This is known a paraphrasing and it’s a great technique to help you really understand the material. Memorization and rote repetition? That’s for robots? You need to understand the material to succeed!
Cover, recite and check.
But how do you paraphrase? It’s as easy as reading over a page, a paragraph, or a sentence, then covering it up, and saying it back in your own words!
Don’t study the stuff you know well.
Start with the most challenging sections and move on from there. There is no point studying material that you are confident you know. A quick review to make sure you remember everything is enough.
Make classroom time active learning time.
The best study tip is one that doesn’t even involve studying, but happens way before studying—in the classroom. The secret to easy studying is to be an active learner in the classroom. Raise your hand. Ask questions. Participate in discussions. Don’t just sit and wait for the teacher to teach you, get involved in learning!
The more responsibility you take for your education, the easier learning— and studying—will be
Good luck everyone!!!:)
Tuesday, June 15, 2010
How To Scribe
Friday, June 4, 2010
Exam Review Study Guide
Perpendicular- lines that intersect at right angles (90 degrees)
Parallel- lines in the same plane that never cross or interest
Interescting- lines that cross at any angle
Perpendicular bisector- a line that divides a line segment in half at a right angle
Angle bisector- a line that divides an angle into two equal parts
Acute angle- an angle at less than 90 degrees
Obtuse angle- an angle more than 90 degrees
Right angle- an angle exactly 90 degrees
- the formula for the area of a triangle is base times height divided by 2.
- the formula for the area of a parallelogram is base times height.
If the base of a parallelogram is 50m and the height is 20m, what is the area?
A= bxh
A= 50 X 20
A = 1000 m 2
Converting fractions, decimals and percents...
-Remember that fractions are out of any whole number.
-Percents are out of 100.
-Decimals are out of 1.
Sorry for not including any pictures, my computer is messed up at the moment..
** Reminder **
Be sure to have the math package ready to hand in by Monday!
And study, study, study for the exaaaams.
Have a good weekend :D
Term 3 homework package
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.
Wednesday, June 2, 2010
Rotation-A turn in a center of rotation.
Reflection-A flip over a mirror line.(Mirror Line can be anywhere,not only on axis)
Quadrants-The four regions on the grid.
X=Horizontal
Y=Vertical
X always before Y.
MORE EXAMPLES OF A CARTESIAN PLANE:)
EG. of Rotation:)
EG. of Reflection:)
MATH TEST TOMOROW!
STUDY FRACTIONS,INTEGERS,MEAN,
MEDIAN,MODE,OUTLIER,RANGE,
ALGEBRA,TRANSLATION,ROTATION,
REFLECTION,and etc.(WILL BE SCANTRON XD)
http://www.youtube.com/watch?v=xhLCYp8CVIQ&feature=fvw
Tuesday, June 1, 2010
Term 3 Test : Thursday, June 3
Fractions- adding, subtracting like and unlike denominators and mixed numbers
Integers- adding, subtracting positive and negative numbers, using number lines and chips
Algebra- 1 step and 2 step problems, check your answer
Measure of Central Tendency- mean, median, mode, range, and outliers
Remember:
-the test is Scantron
-30 questions
-no extra time to finish your test
Exam Review- Study Guide
1. 27.53 + 1.09 + 62.78 + 9.87 = ?
2. 849.37 - 26.08 - 3290165 = ?
3. 13.94 x 22 = ?
4. 451.231 ÷ 24.13 = ?
5. 223.8704 ÷ ? = 59.54
8. 4cubed -(5x2-5)-(20+13x3) = ?
Don't forget to study all of your term 3 notes to be prepared for you test! Good Luck! ☺☻
This is a video of how to subtract mixed numbers with unlike denominators.
This is a video on how to add and subtract integers.
This is a video on how to do 2 step algebra.
These two videos are on Measure of Central Tendency: Mean, Median, Mode, and Range.
Tuesday, May 25, 2010
Chose the Best Measure of Central Tendancy
Monday, May 24, 2010
a. 12 , 20 , 18 , 15 , 10 , 10 , 12
b. 48 ,32 ,67 ,61 ,47 ,95 ,89 ,888 ,1
First (order)
a. 10 ,12 ,12 ,15 ,18 ,20
b. 1 ,32 ,47 ,48 ,61 ,67 ,89 ,95 ,888
a. mean: 14.5 b. mean: 147.56
median: 13.5 median: 61
mode: 12 mode: no mode
range: 10 range: 887
outlier: no outlier outlier: 888, 1
Effect 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.
http://www.schooltube.com/video/85e9382853d3425594fd/Mean-Median-Mode-Range-Outliers
Homework- Page 444-445 numbers 1-8
www.mytextbook.ca
Sunday, May 23, 2010
Effects of Outliers
Outliers have an effect on all measures of central tendency.
*Page 444 - 445, # 1 - 8 is HOMEWORK!
http://ebook.mytextbook.ca/
*Remember to have all of the number of the day pages complete by Tuesday. Mr. Isfeld will be collecting them.
Wednesday, May 19, 2010
Range and Outliers
The positive difference between the largest and smallest values in a data set
Eg. 6, 2, 9, 4, 3 - data set
2, 3, 4, 6, 9 - ordered from least to greatest
9 - 2 = 7
The range is 7
Eg. -8, -1, -3, -5
-8, -5, -3, -1
(-1) - (18) = 7
The range is 7
Outliers -
A value that is much smaller or larger than the other data values
A data set man have one or more outliers or no outliers
* In other words, it's just like finding something that doesn't belong
*In this case, you are looking for numbers that have a big difference between the other numbers
Find the range-
a) 7, 4, 3, 6, 2, 5, 8, 3
2, 3, 3, 4, 5, 6, 7, 8
8 - 2 = 6
The range is 6
b) 11, 8, 8, 5, 7, 6, 7, 6, 6
5, 6, 6, 6, 7, 7, 8, 8, 11
11 - 5 = 6
The range is 6
c) -4, 3, -1 , 0, 2
-4, -1, 0, 2, 3
3 - (-4) = 7
The range is 7
Find the outliers-
a) 18, 19, 79, 17, 20, 12 - 12, 17, 18, 19, 20, 79 - The range is 79
b) 14, 14, 16, 15, 1, 16 - 1, 14, 14, 15, 16, 16 - The range is 1
c) 98, 202, 99, 91, 2, 95, 89, 88, 94 - 2, 88, 89, 91, 94, 95, 98, 99, 202 - The range is 2 and 202
Tuesday, May 18, 2010
Measure of Central Tendency
-is a value that represents the center of a set of data
-can be median, mode, mean
Remember:
-When given a set of data always reorder the digits from least to greatest.
Median
-the middle number in a set of data after the data has been arranged or ordered, only if there is an odd number of items in the data
-if there is an even number of items in the data the sum of the 2 middle numbers in the data set are divided to get the total
eg. 2, 5, 6, 8, 9, -median is 6
1, 3, 6, 8, 9, 10 -median is 7
-----(6+8) ÷ 2 =7
3, 8, 2, 6, 5, 4, -median is 4.5
2, 3, 4, 5, 6, 8,
----(4+5) ÷ 2 = 4.5
Mode
-the most frequent occurring number in the set of data
-if you find no number that repeats most often, then there is no mode.
eg. 3, 5, 7, 7, 9 -mode is 7
2, 2, 4, 6, 6, 8, 11 -mode is 2 and 6
1, 2, 3, 4 -mode; there is no mode
Try this:
Montreal scored the following goals in their last 10 games
5, 4, 3, 2, 1, 5, 3, 3, 7, 3
-Find the median and the mode:
1, 2, 3, 3, 3, 3, 4, 5, 5, 7
----------(3+3) ÷ 2 = 3
median- 3
mode- 3
Frequency Table
8, 8, 8, 10, 10, 11, 11, 11, 14, 14
----------(10+11) ÷ 2 = 10.5
median- 10.5
mode- 8, 11
Mean
-a measure of rental tendency
-the sum (adding) of a set of data divided by the number of values in set
eg. 4, 5, 8, 9, 9
- 4+5+8+9+9=35
- 35 ÷ 5 =7
Try this- mean, median, mode
a) 4, 5, 6, 7, 7, 8, 8, 9, 9
mean-7, median-7, mode-7
b) 250, 250 300, 300, 400
mean-300, median-300, mode-250, 300
Friday, May 14, 2010
Homework and extra practice
Try some of these problems for extra practice: Working With Data 1. List all the four-digit numbers that are even, have a 6 in the tens place, and whose digits add to 12. 2. Is 349 ´ 0.9 greater than, less than, or equal to 349? How do you know? ______________________________________________________________ ______________________________________________________________ 3. Suppose you know that 48 ÷ 16 = 3. Without finding the exact answer, tell whether the answer to 48 ÷ 15.99 is greater than, less than, or equal to 3. Why? ______________________________________________________________ ______________________________________________________________ 4. Use the multiplication below to answer the questions that follow. a) Can E be 2? Explain. ___________________________________________________________ ___________________________________________________________ b) What is the value of D? Why? ___________________________________________________________ ___________________________________________________________ c) What is the value of G? How do you know? ___________________________________________________________ ___________________________________________________________
Monday, May 3, 2010
Review: Solving One Step Algebra Equations
Remember
-an opposite operation is an operation that "undoes" another operation.
-subtraction and adding are opposites
-division and multiplication are opposites
-whatever you do one side you must do the same to the other side to maintain balance
1st step- isolate the variable/get the letter by itself
2nd step- apply opposite operation
3rd step- check the answer, substitute the answer for the letter of the original equation
A+5=7
-5 -5
A=2
Check your answer:
A+5=7
2+5=7
7=7
To extend our knowledge, we had equations to solve:
a) b-3=5
- +3 +3
- b=8
Check your answer:
b-3=5
8-3=5
8=8
b) c÷3=7
- x3 x3
- c=21
Check your answer:
c÷3=7
21÷3=7
21=21
c) 4d=16
- ÷4 ÷4
- d=4
Check your answer:
4d=16
4(4)=16
16=16
Other examples:
HOMEWORK: Pg. 405=407 #1-21
Friday, April 30, 2010
Solving one-step equations
Eg. a + 4 = 12
8 + 4 = 12
12 = 12
Ask yourself what something + 4 = 12 or 12 - something = 4
Try these:
14 = k + 5
14 = 9 + 5
t - 3 = 11
14 - 3 = 11
10 - y = 8
10 - 2 = 8
2. Model (make a picture) and solve
Eg.
Bill rides 4 km to the bridge then rides to work. In total he rides 11 km. How far from the bridge to work?
4 + y = 11
4 + 7 = 11
3. Apply the opposite operation
Eg. c + 22 = 56
- 22 = -22
c = 34
Check- c + 22= 56
34 + 22 = 56
56 = 56
1st step - Isolate the variable (get the letter by itself)
2nd step - Apply the opposite operation
3rd step - Check your answer. Substitute the answer for the letter of the original equation
Opposite operation - An operation that "undoes" another operation
* subtraction and addition are opposites
* division and multiplication are opposites
Solve by applying the opposite operating - Check your answer:
1. n + 7 = 26
- 7 = -7
n = 19
Check - n + 7 = 26
19 +7 = 26
26 = 26
2. d - 3 = -5
+3 = +3
d = -2
Check - d - 3 = -5
(-2) - 3 = -5
-5 = -5
Page 398-401 # 1-22 is HOMEWORK!
http://www.mytextbook.ca/
Thursday, April 29, 2010
Tuesday, April 27, 2010
Soliving Equations
2b + 1 is EQUAL to 5
one way is to for you to use a scale.
[ps , i am sorry I can not do a cup so I am going to draw a square instead]
1c + 4 = 5
1c + 4 = 5
2c(cups) + 3 = 5
Writing expressions - the expression can be writen using a single constant,a single variable or a combination of operations with constants , variables, or numeral co efficent
2 - numerical co efficient
y - variable
7 - constant
Write the following Equation
c + 3 = 7
expression - 3 5
variable - c
numerical coefficiant - 3
constant is - 5
equation - 4 + 10
variable - c
numerical coefficiant -2
constant -4, and 10.
Show using cups + counters
four times a number minus five equals
write an expression or a eqution
I.D variables, numerical coeficents, constands
Websites :
http://www.studygs.net/equations.htm
http://www.sosmath.com/algebra/solve/solve0/solve0.html (might help with future reference.)
I am sorry but I couldn't find a video because they were too advanced
Thursday, April 15, 2010
Integers
Zero pair - A pair of integer chips with one chip representing +1 and 1 chip representing.
Opposite integers - Two integers with the same numeral but different signs.
http://www.mathleague.com/help/integers/integers.htm
http://www.youtube.com/v/27CJH60xwuA&hl=en_US&fs=1&color1=0x402061&color2=0x9461ca
Wednesday, April 14, 2010
April 14 2010 Integers
Here's a link to a good site
http://www.mathsisfun.com/positive-negative-integers.html
Sorry about having no pictures something was wrong with saving it.
Remember!!!
Pg.313 to 315 is homework!!!
Comment and suggest if you see any mistakes. Thanks
Tuesday, April 13, 2010
Integers
Monday, April 5, 2010
Create Circle Graphs
Use a string, compass or trace a circle.
2. Create the Central Angles
- central angle- is an angle formed by 2 radii
- the vertex of the angle is at the centre of the circle
25% like strawberry
25% like vanilla
50% like chocolate
Make a graph for the following info. 3 kids use the computer 1-3 days per week.
9 kids use the computer 0 days per week. 18 kids use the computer 4 or more days per week.
Step 1. Find out how many in total.
3+9+18= 30
Step 2. Convert to %
3 = 1 = 10 10% 1-3 days
30 10 100
9 = 3 = 30 30% 0 days
30 10 100
18 = 6 = 60 60% 4 or more days
30 10 100
%|degrees
100|360
50 | 180
25 | 90
10 | 36
Convert % to degrees.
10% of 360= 36 degrees
use a protractor to measure the central angle
30% of 360= 108 degrees
60% of 360= 216 degrees
Homework
Pages 296-297
Questions 4-13
Wednesday, March 24, 2010
Circle Graphs
General
This is more specific
how many were asked? 5oo
Pets of students in Mr. W's class ( 24 students )
Questions.
1) What is the title of the graph? Pets of students in Mr. W's class ( 24 Students )
2) What are the different catagories of the graph? cat, dog, other, no pets.
3) How many percent of the class has a dog? 25%
How many students have a dog? 6
4) How many percent of the class has a cat? 33%
How many students have a cat? 8
5) What percent of the circle is represented by all sectors? 100%
Pages 290-291
http://ebook.mytextbook.ca ( just sign in if you're not finish. )
Link for Circle graphs.
http://cstl.syr.edu/fipse/tabbar/ReadCirc/REVCIRCL.HTM
Video;
http://youtube.com/watch?v=FfpUUAxQcPA
Sorry, just go to the link. it wouldn't let my upload it.
By the way, tell me what i need to improve on. Thaanks :)