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