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11Maths Graphs WeekTwo
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Lessons in the order they were taught...
Monday the 18th of June.
We looked at different ways to work out quadratic patterns
 a quadratic pattern has a constant second difference
 the form ax^2 + bx + c was used
 the constant second difference is 2a (we half the constant second difference to get "a")
 the first (n=1) first difference is 3a+b (I did a horrid algebraic proof that the first difference was 2an+a+b)
 another method was to use the calculator  stats  list1, list2  graph  grp1  calc  x^2  draw scatter, get equation.
 when using the calculator R^2=1 means a perfect fit  with these patterns you MUST have R^2=1
 another method was to "see" the pattern
 we talked about exponential patterns that have a constant multiplier (not a constant first or second difference)
 we talked about linear patterns  constant first difference, and on the calculator a=0!
Tuesday the 19th of June
Linear Patterns
 "zeroth" term y=mx+c, when x is 0 then the point is (0,c)
 m is the gradient which is also the constant first difference
 we work "back" to get term zero, which does not really exist
Wednesday the 20th of June
Green Course Booklet
 Ticking off what we have learned so far on the check list on page 65
 Agreed we need to spend time on coordinates, quadratics, exponentials and rates of change.
 Worked through page 70 and 71 of the sample paper, Question One i, ii and iii completed.
Thursday the 22nd of June
Green Course Booklet
 Keep going on page 71
================================================================================================================
=
Friday the 22nd of June
Parabola Lesson
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Lessons in the order they were taught...
Monday the 18th of June.
We looked at different ways to work out quadratic patterns
 a quadratic pattern has a constant second difference
 the form ax^2 + bx + c was used
 the constant second difference is 2a (we half the constant second difference to get "a")
 the first (n=1) first difference is 3a+b (I did a horrid algebraic proof that the first difference was 2an+a+b)
 another method was to use the calculator  stats  list1, list2  graph  grp1  calc  x^2  draw scatter, get equation.
 when using the calculator R^2=1 means a perfect fit  with these patterns you MUST have R^2=1
 another method was to "see" the pattern
 we talked about exponential patterns that have a constant multiplier (not a constant first or second difference)
 we talked about linear patterns  constant first difference, and on the calculator a=0!
Tuesday the 19th of June
Linear Patterns
 "zeroth" term y=mx+c, when x is 0 then the point is (0,c)
 m is the gradient which is also the constant first difference
 we work "back" to get term zero, which does not really exist
Wednesday the 20th of June
Green Course Booklet
 Ticking off what we have learned so far on the check list on page 65
 Agreed we need to spend time on coordinates, quadratics, exponentials and rates of change.
 Worked through page 70 and 71 of the sample paper, Question One i, ii and iii completed.
Thursday the 22nd of June
Green Course Booklet
 Keep going on page 71
================================================================================================================
=Friday the 22nd of June
Parabola Lesson