Plan

As 91262(2.7 ) Apply calculus methods in solving problems

Achievement		with Merit	Achievement with Excellence
·      Apply calculus methods in solving problems.		·      Apply calculus methods, using relational thinking, in solving problems.	·      Apply calculus methods, using extended abstract thinking, in solving problems.

I have been working my way through Calculus (2.6, External) with my 12MAC class.

I chose 3 Maori students.

I made the following planning decisions:

 I used the check, chunk and chew technique to recognize find the gradient if a function at

 a given ‘x’ value, Sketch the gradient function, Given the derivative f’(x) and a point (x,y),

 find the original function f(x).

 I decided to spend more time Find the equation of the tangent line, Find a point on a curve 

when given a gradient, Find the coordinates of the turning points on a graph, Find the rate

 of change of a function at a given time, Find the maximum/minimum values of a given 

function, Kinematics problems – finding speed from a distance function, Find the function f(x)

 when given f’(x) is given.

And optimizing applications – using calculus to find the maximum. Use the second derivative to determine the nature of turning points, Identify the ‘x’ values where a function is increasing or decreasing, Kinematics problems – finding the distance from a speed function. This will be useful for merit and excellence questions.

(1)  I have started after school Friday after school to give more one to one support to students in order to improve their External results.

(2)  Also at the end of the topic, they sat  Mock Examinations.