What is meant by a coordinate space?
How does the way computers (e.g. in windows) use coordinates differ from the standard system?
see:
https://www.mathsisfun.com/data/cartesian-coordinates.html
https://msdn.microsoft.com/en-us/library/windows/desktop/dd145205(v=vs.85).aspx
read the following:
https://www.mathsisfun.com/equation_of_line.html
https://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/graphshirev1.shtml
Explain what the intercept of a line is
read the following:
https://www.mathsisfun.com/equation_of_line.html
https://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/graphshirev1.shtml
Explain how the slope of a line is worked out
Do the tasks on this page: http://www.mathopolis.com/questions/q.php?id=358&site=1&ref=/equation_of_line.html&qs=358_359_517_518_1156_1157_3204_3205_3206_3207
and post a screenshot of your result here e.g:
Create a spreadsheet (or an app in an environment where you can plot lines e.g. HTML 5 canvas) to plot the graph of a line.
Use the spreadsheet/app you created for the last question to plot the following lines:
1) y=3x - 5
2) y= -2x +4
3) y= -0.5x + 8
4) y= 3x - 2
5) y=-x-1
Post screenshots of them here.
What do you understand by the term dependent variable in the context of linear equations?
What do you understand by the term independent variable in the context of linear equations?
The table below which represents some management figures from a programming project:
Month |
Budget |
Costs |
% Tasks complete |
1 |
£10,000 |
£786 |
11% |
2 |
£9,214 |
£786 |
16% |
3 |
£8,428 |
£786 |
22% |
4 |
£7,642 |
£786 |
32% |
5 |
£6,856 |
£786 |
37% |
6 |
£6,070 |
£786 |
38% |
7 |
£5,284 |
£786 |
45% |
8 |
£4,498 |
£786 |
49% |
9 |
£3,712 |
£786 |
54% |
10 |
£2,926 |
£786 |
58% |
11 |
£2,140 |
£786 |
68% |
12 |
£1,354 |
£786 |
69% |
1) Work out the formula of the line on a graph where:
a) The X axis represent the month and the y axis represents the amount of money in the project budget
b) The X axis represent the month and the y axis represents the monthly costs
2) if I were to plot the month on the x axis and the % tasks complete on the Y axis this would be a straight line because the difference between the each month's figures is not the same.
a) What could I do with these figures to make a straight line which would best fit all the values (i.e. I need the same change each month)
b) Calculate a 'line of best fit' which represents X (time) against Y % completed.
We have been looking today at the equations which represent a straight line.
You may be asked about equations of a curved line, which represent change.
Investigate this:
Differentital Equations: https://www.mathsisfun.com/calculus/differential-equations.html
Functions: https://www.mathsisfun.com/sets/function.html
Derivitives: https://www.mathsisfun.com/calculus/derivatives-introduction.html