Question Issued in Term 3 Week 9 (Pink Handout)

Source: Discovering Mathematics 2A

Chapter 2: Expansion & Factorisation of Algebraic Expressions

Click HERE to see worked solution

### (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

Refer to

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

Please follow the following sequence:

**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.

Please follow the following sequence:

**Part 1**: Factorisation of Quadratic Expressions of the form**ax2 + bx + c**where a = 1

- View the following video clips (Take note of the procedure):
- Attempt Classwork 1 on the worksheet (p4 & p5)
- Enter your answers in the GoogleForm: (T3W10) Worksheet 7 Classwork 1. Your answers will be marked automatically.
**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)
- Enter your asnwers in the GoogleForm: (T3W10) Worksheet 7 Classwork 2. Your answers will be marked automatically.
**Part 3**: Factorisation of Quadratic Expressions involving more than one variable- Read the working presentation of Examples 5 & 6 (p8)
- Attempt Claswork 3 on the worksheet (p9).
- Enter your answers into the GoogleForm: (T3W10) Worksheet 7 Classwork 3. Your Answers will be marked automatically.
- 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**- Click HERE to check Answers
- Your may refer to other resources (as highlighted in p11 of Worksheet 7)
- Sec 2 Textbook 2A Chapter 2 [Exercise 2.4]
- BBC Bitesize Factorising Quadratic Equations
- Youtube clip: Fast Factoring
- This 'shortcut' method does not use 'cross method' - it's pure memorising of steps. You might not want to consider.
- Khan Academy: Factoring Quadratic Expressions
- Factorisation Game at Quia: Factoring
- AceLearning Portal: Attempt
**Online Quiz S1 Algebra Worksheet 7 Quiz (20 questions)** - Just for Fun: Teach Me How To Factor (WSHS Math Rap Song)

### (T3W10) Worksheet 7 Classwork 1

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

Enter your answers in this form to check your answers.

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.

Enter your answers in this form to check your answers.

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) Worksheet 7 Classwork 2

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

Enter your answers in this form to check your answers.

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.

Enter your answers in this form to check your answers.

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) Worksheet 7 Classwork 3

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

Enter your answers in this form to check your answers.

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.

Enter your answers in this form to check your answers.

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.

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

By the Grouping Method...

Take note of the steps to 'break down' the middle term:

Take note of the steps to 'break down' the middle term:

### 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)

*x*^{2}+ 5*x*+ 4(B)

*x*^{2}+ 9*x*+ 20(C)

*x*^{2}– 8*x*+ 7(D)

(E) 2*x*^{2 }– 7*x*+ 10*x*

^{2}– 5

*x*+ 2

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

Reference:

LHS = a

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

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

Select "

**IT Exploration Worksheet****Part 1:**LHS = a

^{2}+ 2a + 1RHS = (a+1)(a+1), which can be rewritten as (a+1)

^{2}**Part 2:**

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****Update your diagrams and answers in the worksheet.**Select "

**Tiles (Natural #)**" to generate 3 polynomials### Question 1d) and 2h) by Toby Gail

Please click on the photographs for the enlarged versions.

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1d)

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2h)

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

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