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Plane Geometry in 2 Unit and Extension One
anotherworld2b:
Hi I as wondering if I could get help breaking down and understanding these key points for the wace yr 11 syllabus
Unit 1
Topic 1.1: Functions and graphs (22 hours)
Lines and linear relationships
1.determine the coordinates of the mid-point between two points
http://media.virtualnerd.com/tutorials/Alg1_10_2_13/assets/Alg1_10_2_13_D_01_11.png
2.*determine an end-point given the other end-point and the mid-point
3.*examine examples of direct proportion and linearly related variables
4.recognise features of the graph of y=mx+c, including its linear nature, its intercepts and its slope or gradient
•m = gradient/slope
•c = intercept
•sub y = o to get x intercepts
•sub x = 0 to get y intercepts
5.determine the equation of a straight line given sufficient information; including parallel and perpendicular lines
General form: y = mx + c
•perpendicular ( product of gradients ) = -1
•parallel = gradients are equal to each other (the same)
jamonwindeyer:
--- Quote from: anotherworld2b on December 27, 2016, 09:06:43 pm ---Hi I as wondering if I could get help breaking down and understanding these key points for the wace yr 11 syllabus
Unit 1
Topic 1.1: Functions and graphs (22 hours)
Lines and linear relationships
1.determine the coordinates of the mid-point between two points
http://media.virtualnerd.com/tutorials/Alg1_10_2_13/assets/Alg1_10_2_13_D_01_11.png
2.*determine an end-point given the other end-point and the mid-point
3.*examine examples of direct proportion and linearly related variables
4.recognise features of the graph of y=mx+c, including its linear nature, its intercepts and its slope or gradient
•m = gradient/slope
•c = intercept
•sub y = o to get x intercepts
•sub x = 0 to get y intercepts
5.determine the equation of a straight line given sufficient information; including parallel and perpendicular lines
General form: y = mx + c
•perpendicular ( product of gradients ) = -1
•parallel = gradients are equal to each other (the same)
--- End quote ---
1 and 2 rely on various applications of the midpoint formula:
You need to be familiar with how to use this formula given all of \(x_1, y_1, x_2, y_2\), or the midpoint coordinates, or some combination of these. It is all based on this formula though.
It seems like 3 is just based on all relationships of the form \(y=mx+b\). Direct proportion means that \(y=mx\); the value of y is directly proportional to the value of x. If x doubles, y doubles, and so on. 4 is simply analysing the characteristics of the gradient intercept form - You've already listed them all in your post!
Then number 5 is just lots of practice, but all the information you need you have already provided :)
Really, there's not much we'll be able to suggest about any syllabus dot points for Math. Beyond some bits and bobs, you need to do questions to understand it fully! I'd recommend having a crack at stuff from your textbook ;D
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