Algebra: Equation - THINKING BEHIND: BALANCING

REFER to Study Notes: Important vocabulary...  (p2)

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(A) Articulating the Thinking behind the "Balancing of Equation"

Watch the PLAYLIST.
After watching clips: you should
1. be able to articulate the concept of balancing clearly; and
2. no longer use words/ phrases like "cancel", "cross multiply", "move the term over to change sign".


(B) Try the "balancing" act here
URL: https://www.mathsisfun.com/algebra/add-subtract-balance.html

Solving SIMPLE EQUATIONS

Read up TEXTBOOK (p128) Worked Example 1 before trying the questions assigned in the padlet.

Click HERE to access padlet.

Factorisation (Useful tips) How to approach the expression

Algebra: Factorisation - When to Use What?

(A) Identifying the method(s) [approximately 10 min]

Click HERE to access form.

In your team, discuss, for each expression, what is/ are the method(s) that you will need to apply to factorise the expression.

On your own, you will need to fill up the form and submit it by the end of the lesson.

PAIRING by index numbers:

• 1&2, 3&4, 5&6, 7&8, 9&10&11
• 12&13, 14&15, 16&17, 18&19, 20&21, 22&23, 24&25, 26&27, 28&29

Click HERE to access the spreadsheet





(B) Just TRY it! [approximately 8 min]

In the padlet, choose any two questions and attempt.
You and your partner should attempt different questions.

Click HERE to access padlet

[PREVIEW] Applciation of Special Products

Note: This was originally posted in the blog on 21 April 2020

Algebra: Factorisation CROSS METHOD... FINALLY... (questions from Study Notes)

Click HERE to access.

Algebra: Factorisation using Cross Method (II)

Click HERE to access padlet

[Formative Quiz] Algebra Factorisation: Cross Method

Resource: You may watch the clips in the following playlist(s) to recap and view more examples before attempting the assigned collection:

• Factorisation (4) Cross Method
• (Playlist) S1 Maths Factorisation (III) Using Cross Method

Click HERE to access padlet

Algebra: Factorisation using Special Products

Resource: Study Noes (p15)

During lesson, we went through Q8, Q7 & Q9.
I've included the step-by-step working below, with some notes for Q7 & Q9.
I hope that will help you to recap the thinking behind the steps.

Read the TIPS - let them become part of your good habit.

Cheng Rui's answer

A little bit unclear though... hope that it is not too hard to read


Feedback: 
🧐 Note that there are "+" among the terms in the numerator; similar situation for denominator. 
We can only "cancel" away the common factors if all the terms in the numerator & denominator mutliply to each other. So, the "cancelling" here is not valid.

Bhargavi's Answer for Challenging Qs 5

Feedback: 
🧐Think again... from the given expression to the first line of your working. Can we split the mega-fraction into individual fractions? 

Challenging Qn 5 (by kiern)

Feedback: Well done! 👍👍👍
Would be better if you could insert one more line between the given expression and the first line of the working to show how the numbers are 'broken down' in the way you described at the side note.

Challenging Algebra #5

Clarity is important!

Present your working clearly and systematically.

Post your answer in the Maths blog

Label the heading clearly.

CLUE: Factorisation by common factors

Algebra: Factorisation using Special Product A^2 - B^2 = (A + B)(A - B)

We discussed Examples 1, 2 & 3 in yesterday's lesson.

Here's the LEVEL 2 examples (e.g. 4 & 4), which we discuss in today's lesson
 - in particular, need to pay attention to the ( ) or [ ]

Challenging Qn 4 (Bhargavi's answer)

Challenging Qn 4 (Bhargavi's answer)

@Kiern: Why did you post the answer on behalf of Bhargavi?

Feedback: 
(a) 👍👍👍
(b) Think again... Can we 'separate' the given fraction into 2? 
Clue: You will need to simplify both numerator and denominator by factorisation first 

Challenging Qn 4 (by Kiern Ray)

Feedback: 
(a) 👍👍👍
(b) Think again... Can we 'separate' the given fraction into 2? 
Clue: You will need to simplify both numerator and denominator by factorisation first 

[Formative Quiz] Algebra Factorisation: Special Products

Resource: You may watch the clips in the following playlist(s) to recap and view more examples before attempting the assigned collection:

• S1 Maths Algebra - Factorisation (Special Product)

Click HERE to access padlet

Challenging Algebra #4

Clarity is important!

Present your working clearly and systematically.

Post your answer in the Maths blog

Label the heading clearly.

Algebra: Factorisation by Grouping - Class Discussion

Using the examples on the left column, we discussed how to factorise expression using Grouping Method. We had discussed 1(b), but will continue our discussion for 2(b) 3(b) 4(b) in the next lesson.

[Formative Quiz] Algebra - Factorisation by GROUPING

You may watch the clips in this playlist to review how to factorise using the GROUPING method.

Click HERE to access padlet

Algebra: Factorisation by Common Factors (Class Discussion)

As promised, below is the complete working of the 6 examples we attempted this morning.
You may also refer to the playlists posted in the Google Classroom to go through more examples.

[Formative Quiz] Algebra - Factorisation by Identifying Common Factor (II)

Click HERE to access padlet

[HW5] Algebraic Fractions Q1(b) Who's right?

Both Paul and Pauline re-organised so that the like terms are together. However, after this, they used different methods to do and ended up with 2 different expressions. 

Are both correct? Or do you spot any mistake in anyone's working?

UPDATED after discussion:

ALGEBRA CHALLENGING QUESTION #3

Feedback:

• (a) 👍
• (b) Should have applied what's in (a) to solve. Not evident in your working. Also, need to check the terms.

Challenging QS 2

Feedback:

• Check the expansion of the terms again

[Formative Quiz] Algebra - Factorisation by Identifying Common Factors

Source: Workbook 1A Worksheet 4C Q8

Click HERE to access Padlet

Challenging question 2

My post for Challenging question 2

Feedback:

• Answer incorrect. Obviously, the "shortcut" you applied does not work here.

Challenging Algebra #2 & #3

Clarity is important! 

Present your working clearly and systematically.

Post your answer in the Maths blog: One post for one challenge.

Label the heading clearly.

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Algebra: Distributive Law

Click HERE to access padlet

Distributive Law... bringing in "single fraction"

Take a look at this... there are 2 ways that we can approach the question.
Both apply distributive law, one dealing with "individual terms" while the other uses single fraction.

[Divide & Conquer] Challenging Algebraic Fractions as Single Fractions

Source: Workbook 1A Worksheet 4D p70-p71

10 Questions were identified from Q4 & Q5.
You have been assigned to submit your worked solution of ONE question. 
2 to 3 of the students are assigned to attempt the same question. This will enable us to check our answers or help another classmate to surface error (if any).

You should not spend more than 5 minutes in each question.

Click HERE to access padlet.

[Formative Quiz] Algebra: Expressions in SINGLE FRACTION

Source: Workbook 1A Worksheet 4D

You are going to simplify an algebraic expression by expressing it as a SINGLE FRACTION in its simplest form. Recall we apply single fraction as a strategy to evaluate fractions in Unit 2: Real Numbers? 

Remember to find the common denominator of both fractions - you may use LCM when necessary. This will help to keep the terms small and manageable. 

Click HERE to access the padlet

My ANS for the Challenging Qs (Bhargavi)

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Feedback 👍👍👍

Challenging Question 1 (Algebra) - Solution

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Feedback 👍👍👍

Challenging Question ALGEBRA #1(Solution)

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Feedback 👍👍👍

Challenging Algebra #1