MA1 Wks2-7

8/2/2019 MA1 Wks2-7

1/6

Week 2

Term 1

2012

Theoretical Components

You shall make brief notes or copy examples as you

go through these links and text books.

Read:

http://www.karlscalculus.org/calc1.htmland

http://www.trottermath.net/personal/realn

osys.htmlon Number System;

http://www.mathsisfun.com/operation-

order-pemdas.htmlon Order of Operations

& attempt the 8 questions you will find on

this page. Watch this video on rearranging a formula to

change the subject:

http://bit.ly/tzLAHw

http://www.mathsisfun.com/algebra/substit

ution.htmlon Substitution & attempt the 10

questions at the bottom of this page.

Go through ppt on Basic Algebra oncLc. Go

to Subjects then Mathematics and then

Resources.

Practical ComponentsDo the following exercises:

For all of the above, keep a record of your work inyour exercise book (they will be checked

A. You must have completed exercises on Order

of Operations & Substitution.

B. Ex. 1-01 on Algebraic Terms

C. Ex. 1-02 on Formulas

D. Ex. 1-03 on Expanding Expressions

Link for Exercises:http://bit.ly/uoqpJvSolution

Optional:

Click on this link and select Section 1 to get more

practice:

http://www.algebasics.com/index.html

Investigation problem is oncLc. Go to

Subjects then Mathematics and then to

Investigations.

Keep a record of what you have done in your portfoli

to submit at a later date.

QuizEvery even week there is a quiz. The quiz is on the cLc.

By the end of this week, you should be able to:

understand the structure, properties and behaviour of real numbers;

be competent in operations involving real numbers;

re-arrange a given expression to change the subject of formula; simplify algebraic expressions involving like and unlike terms;

expand & simplify binomials and trinomials.

Goals

Learning BriefMA1: Matrices,

Sequences &

Mensuration

ForumEvery odd week there is a requirement to participate in the online forum on a given

prompt. Next week there will be a forum question.
http://www.karlscalculus.org/calc1.htmlhttp://www.karlscalculus.org/calc1.htmlhttp://www.trottermath.net/personal/realnosys.htmlhttp://www.trottermath.net/personal/realnosys.htmlhttp://www.trottermath.net/personal/realnosys.htmlhttp://www.mathsisfun.com/operation-order-pemdas.htmlhttp://www.mathsisfun.com/operation-order-pemdas.htmlhttp://www.mathsisfun.com/operation-order-pemdas.htmlhttp://www.mathsisfun.com/operation-order-pemdas.htmlhttp://bit.ly/tzLAHwhttp://bit.ly/tzLAHwhttp://www.mathsisfun.com/algebra/substitution.htmlhttp://www.mathsisfun.com/algebra/substitution.htmlhttp://www.mathsisfun.com/algebra/substitution.htmlhttp://www.mathsisfun.com/algebra/substitution.htmlhttps://clc.act.edu.au/UserLogin.asp?GroupId=37226https://clc.act.edu.au/UserLogin.asp?GroupId=37226https://clc.act.edu.au/UserLogin.asp?GroupId=37226http://bit.ly/uoqpJvhttp://bit.ly/uoqpJvhttp://bit.ly/v86h3Mhttp://bit.ly/v86h3Mhttp://bit.ly/v86h3Mhttp://www.algebasics.com/index.htmlhttp://www.algebasics.com/index.htmlhttps://clc.act.edu.au/UserLogin.asp?GroupId=37226https://clc.act.edu.au/UserLogin.asp?GroupId=37226https://clc.act.edu.au/UserLogin.asp?GroupId=37226https://clc.act.edu.au/UserLogin.asp?GroupId=37226http://www.algebasics.com/index.htmlhttp://bit.ly/v86h3Mhttp://bit.ly/uoqpJvhttps://clc.act.edu.au/UserLogin.asp?GroupId=37226http://www.mathsisfun.com/algebra/substitution.htmlhttp://www.mathsisfun.com/algebra/substitution.htmlhttp://bit.ly/tzLAHwhttp://www.mathsisfun.com/operation-order-pemdas.htmlhttp://www.mathsisfun.com/operation-order-pemdas.htmlhttp://www.trottermath.net/personal/realnosys.htmlhttp://www.trottermath.net/personal/realnosys.htmlhttp://www.karlscalculus.org/calc1.html

8/2/2019 MA1 Wks2-7

2/6

Week

Term

2012

3

1


Introduction to matrices:

http://bit.ly/u9SwC6

e-book 1: Maths Quest 12: Further Mathematics

Chapter 16

View e-lesson-tutorial on worked example 5

e-book 2: Maths Quest 11: Standard General

Mathematics Chapter 12 View e-lesson-tutorial on worked example 3

Practical Components

Matrix Representation e-book 1: Exercise 16A

Addition, subtraction and scalar multiplication e-book

1: Exercise 16B; e-book 2: Exercise 12A

Give examples to verify commutative and associative

properties laws hold for addition and scalar

multiplication with matrices. Check for subtraction.

(see p819 e-book 1)

QuizNext week there will be a quiz.

Topic: Matrices

understand the structure, properties and behaviour of matrices

be competent in basic manipulations of matrices

Matrix representation, nomenclature

Arithmetic work with matrices

- Addition, subtraction, scalar multiplication

Goals

ForumFind real life uses for matrices and discuss why and how they are used.

Learning BriefMA1 Matrices,

Sequences &

Mensuration
http://bit.ly/u9SwC6http://bit.ly/u9SwC6http://bit.ly/u9SwC6

8/2/2019 MA1 Wks2-7

3/6

Week

Term

2012

4

1


Multiplying matrices:

http://bit.ly/v7IOnj

Multiplicative inverse:

http://bit.ly/sJnHea


Chapter 16




Mathematics Chapter 12


Read examples 7, 8



Multiplicative inverse and solving matrix equations

e-book 1: Exercise 16C, 16D;

e-book 2: Exercise 12B, 12C

Determine by using examples whether the

commutative law holds for matrix multiplication.It may work for some examples but that doesnt

mean it will work for all.

QuizEvery even week there is a quiz. The Week 4 quiz is on the cLc. Ensure you complete most of

the theory and practical components of the brief before you attempt the quiz.

Topic: Matrices



How do you multiply matrices? (mxn)X(nxp)

What is the identity matrix?

What is the determinant of a 2x2 matrix?

What is the multiplicative inverse?

Goals

ForumEvery odd week there is a requirement to participate in the online forum.


sequences and

mensuration
http://bit.ly/v7IOnjhttp://bit.ly/v7IOnjhttp://bit.ly/sJnHeahttp://bit.ly/sJnHeahttp://bit.ly/sJnHeahttp://bit.ly/v7IOnj

8/2/2019 MA1 Wks2-7

4/6

Week

Term

2012

5

1



Chapter 16

Read example 12

View e-lesson-tutorial on worked examples

13

Solving Matrix Equations:

Watch -http://bit.ly/xpXJNX

http://bit.ly/rWrOE5

Individual assignment on cLc this week. Due Monday

Week 7


Applications of matrix equations

e-book 1: Exercise 16E

Start your assignment.

Find the determinant of the matrix

What does this result mean in terms of solving

matrix equations? Give an example to demonstrate

your understanding.

QuizEvery even week there is a quiz.

Topic: Matrices



Applications of matrices

Forming simultaneous equations from written information.

Solving XA = B by hand where A and B are 2 x 2 matrices.

Using CAS for larger matrices.

Goals

ForumEvery odd week there is a requirement to participate in the online forum. Go to the cLc for

this weeks forum.


sequences and

mensuration
http://bit.ly/xpXJNXhttp://bit.ly/xpXJNXhttp://bit.ly/xpXJNXhttp://bit.ly/rWrOE5http://bit.ly/rWrOE5http://bit.ly/rWrOE5http://bit.ly/xpXJNX

8/2/2019 MA1 Wks2-7

5/6

Week

Term

2012

6

1



Mathematics Chapter 12

Read examples 10 and 11

Solving Matrix Equations:

Watch -http://bit.ly/xpXJNX

http://bit.ly/rWrOE5


Applications of matrix equations

e-book 2: Exercise 12D

How is your assignment going?

Catch up any unfinished work from

e-book : Exercise 16A 16E

e-book 2: Exercise 12A 12C

Provide worked solutions for Questions 6 and 8 from

Exercise 12D

QuizEvery even week there is a quiz. Go to the cLc to attempt this weeks quiz.

Topic: Matrices



Further Applications of matrices

Forming simultaneous equations from written informatio.

Solving XA = B by hand where A and B are 2 x 2 matrices.

Using CAS for larger matrices.

Goals

ForumEvery odd week there is a requirement to participate in the online forum.


sequences and

mensuration
http://bit.ly/xpXJNXhttp://bit.ly/xpXJNXhttp://bit.ly/xpXJNXhttp://bit.ly/rWrOE5http://bit.ly/rWrOE5http://bit.ly/rWrOE5http://bit.ly/xpXJNX

8/2/2019 MA1 Wks2-7

6/6

Week

Term

2012

7

1


A sequence in mathematics is an ordered set of numbers.

Sequences are strings of numbers. They may be finite in

number or infinite. Number sequences may follow an easily

recognisable pattern or they may not. Sequences which follow

a pattern can be described a number of different ways. They

may be listed in sequential order, they may be described as a

functional definition, or they may be described in an iterative

definition.

e-book 2: Maths Quest 11 : Standard General Chapter 5 Read

Section 5A and make notes (leave out the logistic equation

part and WE2) and view the tutorial for Worked Example One

and have a go at the first interactivity.

An arithmetic sequence is one in which: the difference

between any two successive terms is the same, or the next

term in the sequence is found by adding the same number. An

arithmetic sequence is a sequence of numbers for which the

difference between successive terms is the same. The first

term of an arithmetic sequence is referred to as a. The

common difference between successive terms is referred to

as d. tn is the term number; for example, t6 refers to the 6th

term in the sequence.

e-book 1: Maths Quest 12 : Further Mathematics

Chapter 5 Read Section 5A and make notes, and view the

tutorial for finding the term number given its value and the

beginning of an arithmetic sequence. View-

http://www.youtube.com/watch?v=ZtPsWriHwa8&featu

re=relmfu

http://www.youtube.com/watch?v=lj_X9JVSF8k&feature

=relmfu


Describing Sequences

e-book 2 (red book): Exercise 5A Q1a -d, 2a-f, 3, 6

(only)

Recognition of Arithmetic Sequences

e-book 1(purple book) : Exercise 5A

Dont forget your assignment is due Monday 19

March.

Imagine you have the chance to work in the holidays for

two full weeks and that you have the choice oftwomethods of payment. The boss says she will pay you

$100/day for the 14 days, or she will pay you $1 for the

first day, the second day $2, the third day $4 and so on.

Provide a worked response indicating what method of

payment you would prefer and why.

http://en.wikipedia.org/wiki/Wheat_and_chessboar

d_problem

QuizEvery even week there is a quiz.

Topic: Sequences and Series

Recognise the importance of number sequences and series in our

everyday lives

Use number sequences and series in our everyday lives

Describing a number sequence?

Recognising a number sequence

What is an arithmetic sequence?

Goals

ForumEvery odd week there is a requirement to participate in the online forum. . Go to the cLc to

attempt this weeks forum.


Sequences and

Mensuration
http://www.youtube.com/watch?v=ZtPsWriHwa8&feature=relmfuhttp://www.youtube.com/watch?v=ZtPsWriHwa8&feature=relmfuhttp://www.youtube.com/watch?v=ZtPsWriHwa8&feature=relmfuhttp://www.youtube.com/watch?v=lj_X9JVSF8k&feature=relmfuhttp://www.youtube.com/watch?v=lj_X9JVSF8k&feature=relmfuhttp://www.youtube.com/watch?v=lj_X9JVSF8k&feature=relmfuhttp://en.wikipedia.org/wiki/Wheat_and_chessboard_problemhttp://en.wikipedia.org/wiki/Wheat_and_chessboard_problemhttp://en.wikipedia.org/wiki/Wheat_and_chessboard_problemhttp://en.wikipedia.org/wiki/Wheat_and_chessboard_problemhttp://en.wikipedia.org/wiki/Wheat_and_chessboard_problemhttp://www.youtube.com/watch?v=lj_X9JVSF8k&feature=relmfuhttp://www.youtube.com/watch?v=lj_X9JVSF8k&feature=relmfuhttp://www.youtube.com/watch?v=ZtPsWriHwa8&feature=relmfuhttp://www.youtube.com/watch?v=ZtPsWriHwa8&feature=relmfu

Documents

MA1 Wks2-7