GO SOLO As91262(2.26) Calculus(External)

There are two external topics in the course. My learners found this Calculus topic extremely enjoyable compare to Algebra As91262(2.5)  external so I have enrolled every learner in the class for Calculus external and selected learners for both.  I taught using Miro online board during the second lockdown since it has too many complicated questions. Also, these resources will be useful for rewindable learning for the Mock examinations(Term4, week2) and end of year NCEA examination will be on the 19th of November. 

My learners and I found SOLO taxonomy useful to differentiate the questions between Achievement, Merit and Excellence.

 

Achievement

Understand the relationship between a function (equation) and the  *  graph of the gradient function (derivative)  *  area between the graph and the x axis (integral)

Understand the symbols   dy/dx, f’(x), f"(x) and dx

Differentiate expressions that have integer exponents like 3x2 and 4/x2

Find the gradient at a given point of a graph if given the equation of the graph

Find the point on a graph that has a given gradient if given the equation of the graph

Integrate expressions that have integer exponents like 3x2 and 4/x2

Find the equation of a curve if I am given the gradient function

Merit

Find turning points

Identify what type of turning point and when a function is increasing or decreasing

Find the equation of a tangent to a curve

Solve kinematics problems (velocity, acceleration)

Interpret my solution into words related to the problem

Excellence

Optimisation problems

Kinematics

Rates of change

Form equations for optimization and area problems, kinematics and rates of change