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...

---

Getting to know... ALGEBRA!

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

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 to access padlet

March Holidays Engagement

Dear S1-06

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.

(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.

---

---

Consolidating Ratios

Click HERE

Consolidating RATE (simple scenarios)

Click HERE to access padlet

[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:

---

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.

---

Click HERE to access padlet

---

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

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

Study Notes Page 6 Q2 Algebraic Method Of Doing.😁🧠

Q2 Practice 3 (The algebra question)

[Ratio] Practice 1a (Tier B) What 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?