[Formative Quiz] Algebra: Expressions (1)Addition & Subtraction

Source: Workbook 1A

Read the instructions in the padlet (1st column). 

Based on the feedback (by the next lesson), you are strongly encouraged to continue to practise the rest of the questions.

REMEMBER: 

Fluency and proficiency come through hardwork that can be achieved by no one else, other than yourself.

Click HERE to access padlet

[Formative Quiz] Algebra: Expression (2) Subtraction

Source: Maths Workbook 1A Worksheet 4B

In this question, you HAVE TO write the expression before simplifying it.

Click HERE to access padlet.

I am a Translator!

Click HERE to attempt the task

Getting to know... ALGEBRA!

Let's watch these 2 clips from the Khan Academy to learn the "background" and a quick introduction of Algebra!

[Task 1] Substitution: Can you tell What's Wrong?

Indicate your responses under comments:
(i) Identify the error(s) and describe what's wrong.
(ii) What is the correct answer?

Post-Lessson elaboration

As discussed in the lesson, the errors in the above working:

• Line 1: Error in first 2 terms - Should not be (2 x 3)^2; similarly, should not be (3 x 2)^2
• Line 1: While the substitution of the 3rd term is correct, should insert () for "-1". This applies to how "-1" was written in lines 2 & 3.

The suggested worked solution:

[Task 2] Algebra... Which is larger?

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Which is larger in magnitude?

5 + n or  5n

Explain your answer clearly with examples.
Indicate any assumptions made.

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Click HERE to access padlet

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[Formative Quiz] Algebra: Substitution

Source: Workbook 1A

Read the instructions in the padlet (1st column). 

Based on the feedback (by the next lesson), you are strongly encouraged to continue to practise the rest of the questions.

REMEMBER: 

Fluency and proficiency come through hardwork that can be achieved by no one else, other than yourself.

Click HERE to access padlet.

Algebra: Equation vs Expression

(I) Algebraic Expressions vs Equations
The following are expressions

• 3x
• 5 - 2y
• p + 2q - 45
• mn

The following are equations:

• 2x = 4
• x + 8 = 20
• x² = 36
• 2x + y = 4

Can you tell the difference between an expression and an equation?

(II) Coefficients, Variables and Constants
In the following algebraic expressions:

(a) 6x

• x is a variable
• 6 is the coefficient of x
• There is no constant

(b) 2y + 5

• y is a variable
• 2 is the coefficient of y
• 5 is the constant

(c) 3m + 7n + 9

• m and n are variables
• 3 and 7 are coefficients of m and n respectively
• 9 is the constant

(d) p + 2q - 45

• p and q are variables
• 1 and 2 are coefficients of p and q respectively
• -45 is the constant

(e) 5a - 3b + 1

• a and b are variables
• 5 and -3 are coefficients of a and b respectively
• 1 is the constant

(f) x - y

• x and y are variables
• 1 and -1 are coefficients of x and y respectively
• There is no constant

When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Click HERE to read more about these...

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Unit 3 Ratio, Rate and Speed Practice 4 (Tier B) Question 4

Ratio, Rate and Speed Qs 4 ANS

The speed Q4 (Xuan Han)

x = 25 and y = 130

Concluding: Speed - Every Minute Counts!

Work out your solution (with steps clearly presented).

Click HERE to access padlet

Presenting: Simple Interest and Hire Purchase

Click HERE

March Holidays Engagement

Dear S1-08

As we spoke in class, there will not be any written assignments for this holiday (unless you still have assignments, i.e. Percentages [HW1][HW2][HW3] not submitted).

Several things to do during the holidays:

(1) Study Notes: Rato, Rate & Speed
We are halfway through/ almost completed the unit.
Attempt the remaining pages (sub-topics) so that we go straight into the discussions, checking of understanding & answers.
A good resource is your Maths Textbook 1B - Read the examples there.

There are a number of consolidation activities that were assigned in Term 1 Week 10.
Some of you have not attempted yet.

• Ratio
• Rate (simple scenario)

Please complete them by this Friday.

As briefed in class last Friday, in the Google Classroom: 

There's a set of exploration activity involving the use of spreadsheet. 

Remember to attempt and submit them.

(2) Preparation for next topic, Algebra
Algebra will be covered quite extensively in Seconday 1 (all the way to Factorisation).
A good way to prepare yourself for this topic is to go through the Algebra modules in SLS (as mentioned in class).

The following modules are already assigned to you in the SLS.
Take sometime to go through... Algebra offers lots of possibilities and flexibiilty... which we will discover in Term 2.

We'll have a diagnostic activity (anytime) before we start this topic - to find out the extent of readiness/ pre-requisite you have before we embark on this topic.

(3) Class Tests

• Class Test 1: Do corrections (if applicable) and file the test paper.

• [Heads-up] Class Test 2: 
• Topics: Unit 1 (Topic 3) Estimation & Application, Unit 2 Percentages, Unit 3 Ratio, Rate and Speed, Unit 4 Algebra

(4) Maths File
You should get your Maths File ready for checking by the end of Term 2 Week 1.
A list of items to be included in the content page is already posted in the Google Classroom.

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Consolidating Rate (simple scenarios)

Click HERE

Consolidating Ratios

Click HERE

[Ratio] Let's EXPLAIN how to solve the problem

The following problem involves multiple steps...

You are going to solve the problem in groups of 3 to 4:

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As a group, discuss how you would solve the problem by applying POLYA's 4-step process:
1. Understand the problem
2. Devise a plan
3. Carry out the plan
4. Look back


Deliverable 1:

After you have discussed, present your answer in written form.
POST a photo of the written solution in the padlet.

Deliverable 2:

As a group, discuss how you could explain the solution clearly.
Remember, do NOT rush when you talk.

You should

1. With reference to the question, point out what are the key information given, and what the question asks. Paraphrase or elaborate what is required to. You may describe any assumptions made.
2. Describe the worked solution systematically. If you are using abbreviations, you should tell the audience what each letter means.
3. Post the VIDEO in the padlet.

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Click HERE to access padlet

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[Ratio] Study Notes (p8) Practice 1a: Which method did you use?

Click HERE to access padlet

Real World Application: Analysing a receipt (#1) GST, Discount

We have concluded the topic, "Percentages".
Discount and GST are 2 real world applications of percentages.

Let's talk a closer look at a receipt - to what extend do we know it better now?

[Ratio] Study Notes (p6) Q2 Solving by Algebra

Below is how we can approach - to solve by algebra: substitution

[Ratio] Unit 3 Study Notes pg 6 practice 3 question 2

Feedback:
Method - Substitution by parts.
Check - there's an error in the calculation (see denominator)

[Ratio] Study Notes Math p6 Q2

Feedback:
- Answer is correct
- You solved by substituting the parts into the expression

[Ratio] Study Notes (p6) Q2 "Challenging Question

Feedback:
- Answer is correct
- You solved by substituting the parts into the expression

[2 March] Percentages - what we did today, and preparation for the next lesson

Dear S1-08

What was covered in today's lesson (2 March):

• Study Notes (p8) We discussed Practice 3 very briefly as (h) involves algebraic manipulation. Some of you might want to have a quick preview of the working.
• Study Notes (p9 & p10) Percentage Point through the discussion on GST increment - announcements made in 2007 and 2018. Do refer to the post below to access the slides that give an overview of the budget allocation and the various types of tax contributing to the "revenue"
• Study Notes (p11 & p15) Go through the notes & prepare these pages for next lesson's discussion.

• Task in Google Classroom: 
• You were briefed on tthe task [Activity] Percentages: Point of Sale in the Google Classroom assignment. 
• You are to complete columns A, B, C and G.
• Here is a sample on how your spreadsheet will look like - get this ready for the next lesson.
• 
• Do not submit the spreadsheet. 
• We shall continue with this exercise, where we compute the discounts and final price for each item

HOMEWORK (written), assigned last week 

Remember to submit [HW1] Perecentages tomorrow.

Percentages: Discussion (p8) Practice 3

Below are the worked solution by Kang Ming and Richard respectively:

Both working have presented the working from (a) to (h) clearly. They have also made an observation based on the figures obtained correctly.

Part (h): None had presented how to obtain "A" - to compare with the given formulae.
It will involve simple algebra. The error was a result of manipulation error.