Homework Due Wednesday, Mar 2

1) Complete 1 more hour on the Khan academy website
Don't try to pretend you did an hours worth of work if you actually did less - I can see the time you spent on the site

Homework Due Monday, Feb 28

Great job to those of you who've been keeping up with your homework assignments.  Those of you who haven't - you know who you are :(. 

The policy for this week is that all of Monday's and Wednesday's assignments must be finished by Wed Mar 2 or you'll need to stay back an hour on Wednesday (4-5 pm) to work on your assignments.  Homework needs to be completed on time, but if you don't finish for any reason on time make sure it's all done by Wed.  No excuses!!!  You've been given sufficient warning and time to complete the work.  If you have any questions or doubts, email or IM me.  I won't accept any excuses like "i couldn't figure out how to use the website" or "I couldn't find the module" - email me and I'll help you.  Also, not having internet access is not an excuse - you need to make your best effort to get access this weekend.  Go to a friend's house if you can.  If you ABSOLUTELY cannot gain access, you should call a friend and tell him/her to email me and let me know that you don't have access.  I will also check with your parents to confirm that you couldn't access the net.

 In summary, if you have any problems contact me and we'll figure something out.  If you don't contact me, then I won't accept any excuses.


1) Spend a total of 3 hours (doesn't have to be a continuous 3 hours) this weekend working maths sums and watching maths tutorial videos
(keep track of the exact amount of time you spend actually working problems/watching videos on the site - even if you work for 20 minutes then take a 2 hour break then come back for 30 min etc.) 

To Set-Up on the Website
- Go to the Khan Academy webiste
http://www.khanacademy.org/
- Scroll down to the bottom of the page and click on "Add a Coach"
- Sign in using your gmail account or your facebook account
(sometimes the page stalls when you enter your account so just click the back button)
- Enter Coach ID (PriyaBhatiapb@gmail.com)

PROBLEMS
Work through as many of the following modules as you can in 3 hours.  The modules are:

Systems of Equations

Line Graph Intuition

Solving for the Y-intercept

Slope of a Line

Equation of a Line

Line Relationships

If you finish those before your 3 hours are complete, work the following modules

Functions 1

Functions 2

Linear Equations 4

To Work Problems
- Click on "Practice" at the top left of the screen
- A starry constellation thing will appear on the right side of the page.  Use the (-) button to zoom out.
- Scroll down the starry page quite a ways.  Stop when you see "Linear Equations", "Graphing Points" etc. towards the left of the screen (it may be a bit difficult to spot them so be patient and keep looking)
- Scroll a bit further till you see "Systems of Equations" - double click on it
- A problem will show up on the screen; work the problem and click on the answer choices
(f you're not sure how to work the problem, click on the "Need help - watch a video" link at the bottom; you can watch videos on pertinent topics that will help you with the questions)
- You'll immediately find out whether your answer was correct; if it wasn't, re-do the problem until you get it correct (you can always ask for a hint to help you)
- Once you've gotten an answer correct, move on to the next question;  keep working problems until you get 10 in a row correct
- Once you've gotten 10 in a row right (and you feel completely comfortable with the topic - if you'd like more practice, by all means, continue working problems in the module) click on "practice" again at the top left
- Again scroll down the starry thing until you get to "Line Graph Intuition" (which is a bit lower and to the right of "Systems of Equations")
- Do the same thing for this module as for the last one (keep working problems until you get 10 right or until you feel you've had sufficient practice)
- Work through the list of modules above.  They're sometime difficult to find in the starry thing but keep looking or ask me if you just can't find one of them.  After you've spent a total of 3 hours working, you can stop regardless of where you are in your modules (it's ok if you haven't finished them all). 

Homework Due Wednesday, Feb 23

Still waiting on this from some of you:
Find a photograph (or a couple photographs) which represent where you'd like to be in a year after you graduate from Calorx.
For example, if you'd like to attend a particular university, find a photo of it from the net.  The photo should be meaningful to you and represent what you'd like to achieve by next year.  Try to find a jpeg file if possible and email it to me.

Soft Copy Sums

p. 160 1, 2 (all parts)

p. 262 1 (a-d), 2 (a-c), 3 (all parts)

p. 263 4

p. 264 1 (a-c), 2 (a, b), 3 (a-c), 4

Read p. 264 and 265 on Parallel and Perpendicular Lines

p. 265 1 (a-c), 2, 3,

p. 266 4, 5, 6 (all parts)

Homework Due Monday Feb 21

FINISH SUMS FROM THE PAST WEEK THAT YOU HAVEN'T YET COMPLETED 

Find a photograph (or a couple photographs) which represent where you'd like to be in a year after you graduate from Calorx.
For example, if you'd like to attend a particular university, find a photo of it from the net.  The photo should be meaningful to you and represent what you'd like to achieve by next year.  Try to find a jpeg file if possible and email it to me.


p. 246/247

Read Example 5.2.4e and 5.2.4f

p. 247 Example 5.2.5a and 5.2.5b

1) The equation of a line is -2x +3y = 0;  Find the x and y intercepts and the gradient of the line.

2) The equation of a line is (2/3)x –(1/2)y = 0;  Find the x and y intercepts and the gradient of the line.

3) The equation of a line is x +y = 0;  Find the x and y intercepts and the gradient of the line.

p. 248

Read the entire page

p. 249

Example 5.2.6a

1) Find the point of intersection of L1: 3x – 2y = 2 and L2: 5x –(10/3)y = 1

Example 5.2.6b

1) Find the point of intersection of the lines y = 2x -2 and x + y +1 = 0

2) Find the point of intersection of the lines y = x -6 and 3x - y - 4 = 0

p. 250

Do all of Exercise 5.2

Homework Due Friday Feb 18

Follow along with the examples on the following pages in the RED BOOK and do the sums given


p. 239

Read c and d and then do the following problems:

1)

EXAMPLES: y = 4 is a horizontal line which crosses the y-axis at 4.  x = 2 is a vertical line which crosses the x-axis at 2.

Write an equation for the lines shown in c and d. 

2) Think of gradient as “Rise over run” – i.e. with each “step” a climber would take on the slope of a line, their gradient is the how high up they go divided by how far to the right they go in a single step.  For y = k (where k is a constant) the gradient is zero because for each step taken, the climber is going to the right but not going up at all. For x = k, we can see in d) that the gradient is undefined.  What does this mean in terms of a climber?  How high up is the climber going for every step to the right?

3) Read Example 5.2.1c.  Now draw a line with gradient -2 which goes through A(2,2).

p. 240

Read Example 5.2.1d in detail.  Try solving a-d yourself first, then look at the answers.

p. 241

1) Line 1 passes through the points A(-2,-1) and B(3,4).  Find the equation of a line which is parallel to Line 1 as passes through the origin (0,0).

2) Line 2 passes through the points A(-3, 2) and B(2,-2).  Find the equation of a line which is parallel to Line 2 and passes through the point A(1,1).

p. 244

1) Consider two points A(-3,1) and B(3, 1) which lie on a line.  Write the coordinates of any two other points which lie on this line.

2) A(-2,-1) and B(4, -5) lie on a line.  Write the coordinates of any two other points which lie on this line between A and B.

3) Does the origin lie on either of the lines given in 1) and 2)?  Show your work.

p. 245 Example 5.2.4 c

1) Write the equation of the line passing through A(2,3) and B(6, 2) in the forms y = mx + c and ax + by + d = 0

2) Write the equation of the line passing through A(-1, -2) and B(3, 8) in the forms y = mx + c and ax + by + d = 0

3) The equation of a particular line is y = 2x + 4.  Write this line in the form ax + by +d = 0

4) The equation of a line is y = -(3/5)x -2.  Write this line in the form ax +by + d = 0

Homework Due Thursday, Feb 17

PART 1

Soft Copy

p. 148 5D 1 – 3; If you’re unsure of how to use the calculator , refer to the first chapter in the soft copy book (p. 31 graphing functions)

p. 150 6 – 10 (for no. 7, you will need to use a GDC) SEE DIRECTIONS BELOW

Read p. 156 and 157

p. 158 5H.1 1-4 (all parts)

p. 159 5H.2 1-5 (all parts)

Red Book

Ex. 4.2 1-8 all parts

DIRECTIONS FOR p. 150

For exercises 6-10, there are two statements given in each problem.  Write an equation for each statement and plot the two functions on the same graph (you can first graph on your GDC and then sketch the graph, or make a table and plot by hand).  Find the point of intersection of the two lines

For example,  No. 2 says:

Doubling a certain number and subtracting 5 gives the same result as subtracting 10 from the number then multiplying by 7.

Take “Doubling a certain number and subtracting 5” as the first statement and “subtracting 10 from the number then multiplying by 7” as the second statement. 

For the equation for the first statement, we’d let x represent “a certain number” so the equation  would be y = 2x – 5

For the second statement, our equation is y = (x – 10)*7 = 7x – 70

By graphing, we find that x = 13.  The number we’re looking for is 13.  

PART 2 **Updated**

p. 236 - 237

Read the pages and follow the examples.  Do the following sums in conjunction with these pages.

Buildings A and B begin with 540 litres of water in their tanks.  It takes building A 6 hours to use all its water and it takes building B 9 hours to use all its water.  Both buildings are losing water at constant rates (i.e. each hour, building A loses a certain amount of water and each hour, building B loses a different amount of water.)

1) Write an equation for the total consumption of water, y, after x hours for each building.  My equation should tell me for any number of hours that have passed how much water has been used.  See the plots shown on p. 236 and compare them with your equations.

2) Now write an equation for the amount of water in the tank, y, after x hours have passed for each building. 

Hint 1: each tank begins with 540 litres of water

Hint 2: use the rate of water loss (how many litres of water are lost each hour) to find the gradient of the equation

p. 238

Read Example 5.2.1b and then do the following problems:

1) For the pair of points A(1,2) and B(4, 4), plot the points and draw a line joining them.  Find the gradient of the line.  Now write an equation for the line (Hint: you have the gradient so all you need to write a full equation is the y-intercept).

2) For the pair of points A(1,4) and B(3,6), plot the points on the same graph as 1) and draw a line joining them.  Find the gradient and compare it to the gradient of the line in 1).  Now write an equation for the line.