Summary of Maths Lesson(27 August 2010)

-Recap on linear graphs:

 We learnt that:

• convert all equations to y = mx + c
• Visualise the gradient; increasing/decreasing
• X-intercept= -c/m
• Y-intercept is when x=o
• Do working step-by-step to prevent error and careless mistakes
• Substitute the given values of x and y values into y = mx + c if two variables are unknown.
• Gradient

 = m 

 = rise/run

• It is the CHANGE IN Y-AXIS/ CHANGE IN X-AXIS
• Look at the slope; increasing or decreasing slope.
• Expansion of Quadratic Expressions:

We learnt that:

- expand a certain term

• write in alphabetical order
• convince that (a-b)2 = (a-b)(a-b) using expansion
• answers can leave in improper fraction unless state the co-efficient of the term.
• reduce to simpler form
• decimal is also possible
• did (a+b)2, (a+b)3 , (a+b)4 and so on as practice

Pascal Triangle:

• a shortcut way of attaining answers for quadratic expansion.
• Co-efficient of the number.

Question of the day:

How do you determine that the Pascal triangle is always correct and does it always give the exact co-efficient for all expansion of quadratic expressions? Is there a particular occasion when the Pascal triangle did not meet the co-efficient needed? In what circumstances? Examples is required.