### Algebra (T3W9) Challenging Question

Question Issued in Term 3 Week 9 (Pink Handout)
Source: Discovering Mathematics 2A
Chapter 2: Expansion & Factorisation of Algebraic Expressions

### (T3W10) Learning Tasks - Algebra (Factorisation using Cross Method)

While there's no formal Maths lessons this week, we shall continue to finish up the topic, Algebraic Factorisation - using cross method.

Refer to Worksheet 7: We have completed Part 1 (Classwork 1) this topic in Term 3 Week 9.

Put up in this Maths blog are the learning activities that you shall complete by this week (2 September 2011), before the vacation starts.

1. Part 1: Factorisation of Quadratic Expressions of the form ax2 + bx + c where a = 1
• Attempt Classwork 1 on the worksheet (p4 & p5)
2. Part 2: Factorisation of Quadratic Expressions of the form ax2 + bx + c where a is not equal 1
• View the following video clips (Take note of the procedure):
• Attempt Classwork 2 on the worksheet (p7)
3. Part 3: Factorisation of Quadratic Expressions involving more than one variable
4. Attempt Challenge Yourself (p10 & p11).
• Q5: Typoerror - it should be
• (a) 2(a+2b)2 - 13(a+2b) + 15
• (b) 6(a+2b)2 - 39(a+2b) + 45
5. Your may refer to other resources (as highlighted in p11 of Worksheet 7)
6. AceLearning Portal: Attempt Online Quiz S1 Algebra Worksheet 7 Quiz (20 questions)
7. Just for Fun: Teach Me How To Factor (WSHS Math Rap Song)

### (T3W10) Algebra: Factorisation (cross method, Example 1) x^2 + bx + c

Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 1 p4-p5

### (T3W10) Algebra: Factorisation (cross method, Example 2) x^2 - bx + c

Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 1 p4-p5

### (T3W10) Algebra: Factorisation (cross method, Example 3) x^2 + bx - c

Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 1 p4-p5

### (T3W10) Algebra: Factorisation (cross method, Example 4) x^2 - bx - c

(T3W10) Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 1 p4-p5

### (T3W10) Worksheet 7 Classwork 1

Attempt the questions in the Worksheet, complete with proper working.

View THIS only you have attempted the questions.
The cell will be shaded yellow if you have answered the question correctly.
Put down your enquiry in the Comments if you need explanation to selected questions. Remember to sign off with your name.

### (T3W10) Algebra: Factorisation (cross method, Example 5) ax^2 + bx + c

Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 2 p7

### (T3W10) Algebra: Factorisation (cross method, Example 6) ax^2 - bx + c

Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 2 p7

### (T3W10) Algebra: Factorisation (cross method, example 7) ax^2 - bx - c

Note: Worksheet 7 (Algebra - Factorisation of Quadratic Expressions)
Classwork 2 p7

### (T3W10) Worksheet 7 Classwork 2

Attempt the questions in the Worksheet, complete with proper working.

View THIS only you have attempted the questions.
The cell will be shaded yellow if you have answered the question correctly.
Put down your enquiry in the Comments if you need explanation to selected questions. Remember to sign off with your name.

### (T3W10) Algebra: Factorisation (Quadratic Expressions involving more than one variable)

Worksheet 7 (page 8) Examples 5 & 6
Preparation for Class Work 3

### (T3W10) Worksheet 7 Classwork 3

Attempt the questions in the Worksheet, complete with proper working.

View THIS only you have attempted the questions.
The cell will be shaded yellow if you have answered the question correctly.
Put down your enquiry in the Comments if you need explanation to selected questions. Remember to sign off with your name.

### Factorisation: Expression D by Cheng Shu Yu Mavis

x^2-7x+10 = (x-5)(x-2)

### Chapter 5: What does factorising x^2 + bx + c mean (visually)? (II)

These are the examples generated from the previous activity using the digital manipulatives:

### Chap 5: Factorising x^2 + bx + c

By the Grouping Method...
Take note of the steps to 'break down' the middle term:

### Chap 5: Factorising ax^2 + bx + c

Look out for the approach... it's applying Grouping method

### Factorisation: Expression E by Nina

(2x-1)(x-2)

### Chap 5: Factorisation - Can they be factorised?

Can the following expressions be factorised?

Everyone of you have been assigned to one of these expressions.
Try to factorise them using methods you know (to-date)

(A)       x2 + 5x + 4
(B)       x2 + 9x + 20
(C)       x2 – 8x + 7
(D)       x2 – 7x + 10
(E)    2x2 – 5x + 2

### Chapter 5: What does factorising x^2 + bx + c mean (visually)?

Reference: IT Exploration Worksheet

Part 1:

LHS = a2 + 2a + 1
RHS = (a+1)(a+1), which can be rewritten as (a+1)2

Part 2:
View the following animation to understand learn how the rectangular pieces are assembled.
Did you notice there is a systematic way of organising the rectangular piecs?

URL: http://staff.argyll.epsb.ca/jreed/math9/strand2/factor1.htm
Look at all THREE examples

Part 3:
Generate your own polynomials to factorise using the manipulatives

Select "Tiles (Natural #)" to generate 3 polynomials

### What's Wrong? Q8 (Type 2)

Describe what's wrong with the working and/or answer.
Suggest how it should look like.

### What's Wrong? Q10 (Type 2)

Describe what's wrong with the working and/or answer.
Suggest how it should look like.

### What's Wrong? Q14 (Type 3)

Describe what's wrong with the working and/or answer.
Suggest how it should look like.

### What's Wrong? Q17 (Type 2)

Describe what's wrong with the working and/or answer.
Suggest how it should look like.

### What's Wrong? Q18 (Type 3)

Describe what's wrong with the working and/or answer.
Suggest how it should look like.

### What's Wrong? Q19 (Type 3)

Describe what's wrong with the working and/or answer.
Suggest how it should look like.

### Wang Yi Chieh: Question 1e and 2b

Sorry for the late submission.

### Question 1d) and 2h) by Toby Gail

Please click on the photographs for the enlarged versions.
__________________________________________________________________________________
1d)
__________________________________________________________________________________

2h)

__________________________________________________________________________________
I hope i used the correct mathematical terms.... > <

### Question 1d) and 2b)- Chan Shawn Kit

Top is 2b) and bottom is 1d)

### Qn 1(d) 2 (b) Owen Ong Chau Siong

Sorry. I forgot to bring my math notebook home :'(

1D.

2B.

1d

2b

1d

2b