MM2/SMM2: Week Term Learning Brief€¦ · MM2/SMM2: Introduction to Differential Calculus STEP 3...
Transcript of MM2/SMM2: Week Term Learning Brief€¦ · MM2/SMM2: Introduction to Differential Calculus STEP 3...
Week
Term
2016
14/15
4
Theoretical Components STEP 1 Resources:
Maths Quest Year 11 Chapter 9
Pdf Rates of Change and Limits
Pdf Introduction to Differentiation pages 1-5 Knowledge Checklist:
what is a rate?
constant rates
variable rates
average rates of change
instantaneous rates of change
interpret graphs that illustrate rates of change
equations of tangents/normals
what is a limit?
evaluating limits
what is a gradient function?
what is the x-intercept of a gradient function?
power rule
finding gradient functions by sketching
finding gradient functions by using the rule
finding gradient functions using your CAS
sketching polynomials using stationary points
finding maximum and minimum points and to solve problems in a practical context
investigate speed, displacement and velocity
primitive functions and applications View practical optimization problems: https://www.youtube.com/watch?v=Zq7g1nc2MJ8 https://www.youtube.com/watch?v=qcuWwy3kPqk https://www.youtube.com/watch?v=e0Fgyca6WCw
Practical Components
STEP 2 Week 14 Solving Maximum and Minimum Problems Exercise 9G SMM2 – collect extra exercise from Jacqueline Week 15 Sketching functions using the derivative https://mathspace.co/learn/ac-methods-11/differentiation/sketching-functions-using-derivative-information-38735/questions/ Primitive Functions and Their Applications https://mathspace.co/learn/ac-methods-11/differentiation/primitive-functions-38737/questions/ https://mathspace.co/learn/ac-methods-11/differentiation/applications-of-primitive-functions-64343/questions/
For the next two weeks we are:
Using differentiation to find maximum and minimum values and to solve problems in a practical context
Sketching functions using the derivative
Investigating primitive functions and their application
Goals
Learning Brief MM2/SMM2: Introduction to
Differential Calculus
STEP 3 Do the custom mathspace tasks:
Week 14 Maximum and Minimum Problems
Week 15 – Sketching functions using the derivative and Applications of
Primitive Functions
Investigation
Remember to scan in when you come to the Maths Area and when you leave.
QFO Quiz/Forum/Other