[Challenging Question] Algebra - Factorisation (Hybrid)

Clear and systematic solution👏👏👏 , presented by Irina and Jeremy

 

[Challenging Question] #9 Application of Factorisation

A handout comprisilng the following questions was given in class.

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[UPDATE on 7 July] Solution received 

From Irina

• Very clear and systematic presentation of working. 👍
• Approach: Substitution is cleverly used to make the working easy to read and simplify 👍
• Answers are correct. 👍

[Point to ponder] Instead of using x = 6987650, what if we use x = 6987654? 

Try that to see how the expression would look like now.

[To improve] Use descriptive word like "Let x = 6987650" instead of using a straight line, which could be mistaken as "minus"

From Ruihao

• Very clear and systematic presentation of working. 👍
• In Ruihao's working, you would notice that he exercised his 'eye power' and notice he could applied special product to factorise part of the expression (in the course of simplifying the expression 👍
• Answers are correct 👍

[Challenging Question] Application of Factorisation

The following question was posted on the whiteboard yesterday. 

• You may email me your proposed solution, if you have one. 
• The correct one will be posted in the Maths blog (here). 

[Updated 4 July] Proposed solution by Aravind 👍

• Method (approach) is clearly written... close to getting the correct answer
• [To mprove the clarity of the meaning making] Write out the given expression (px - q)(px + q) below the product of factors found to make the comparision. 

[Updated 4 July] Proposed solution by Irina 👍

• Method and answers are clearly written

[Optional] Challenging Questions: 4 Operations with Rational Numbers

 This is an optional task

The objective of these questions is to stretch our thinking further to see how we can apply what we know into more complex scenarios

Click HERE to access padlet.

Challenging Question

Attempt the following challenging question 
worths "5" points if correctly answered with clear and proper presentation.

Post your answer on the whiteboard before the next lesson starts.

Discussion on 22 Jan (FRI)

A suggested solution from a member in S1-06 

Though presentation can be improved for neatness and greater clarity, the working has applied the key idea of using cube root of 1000 to solve the problem 👍

Below is the suggested solution. 

Look out for the presentation how it leads one to follow the step-by-step working (how it transit from one line to another):