Algebra (T3W9) Challenging Question

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 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:
  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
    • 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
    • Click HERE to check Answers
  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.
      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) 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.
      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) 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.
      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.

      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
      Update your diagrams and answers in the worksheet.

      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.


      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 :'(

      No. 1D and 2B. - Sandy Khoo

      1D.

      2B.

      Question 1d and 2b by Jiajun


      No.1D & 2B by Gladys



      1d, 2b Yi De

       1d


      2b

      Questions 1D and 2B



      Questions 1d. and 2b. by Jia Qi


      Questions 1d and 2b Ng Ying Liang

      1d

      2b

      Question 1d) & 2b) Ryan Tan