Sunday, August 29, 2010

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
  • 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.

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