Useful Tips - Examination (Mathematics)

[Revision] Hire Purchase, and more....

Hire Purchase

This was first posted in the Maths Blog on 25 April 2022

You may also read up examples in Textbook 1B (p55 to p56), apart from your notes, HW and class test papers

Other references, apart from your notes, HW & class test papers...

• Simple Interest: Textbook 1B (p54-p55)
• Currency Exchange: Textbook 1B (p56-p57)
• Income Tax: Textbook 1B (p59-p60)

• Profit & Loss: Textbook 1B (p23-p24)
• Discount: Textbook 1B (p25-p26)
• GST: Textbook 1B (p26-p27)
• Commission: Textbook 1B (p29)

[Revision] Session #4: Graphs

[Revision] Session #3: Inequalities

[Revision] Session #1 & #2: Algebra

[Logical Guess] Quadrilaterals: Who am I?

Click HERE to access the GoogleForm 

Your responses will be marked and the score will be emailed to you

[Bite Size] Angle Properties: Angles involving intersecting lines & transversals

Click HERE to access the GoogleForm.

[See responses]

Angle Properties: Angles formed by Intersecting Lines

Click HERE to access the form.

[see responses HERE]

Angle Properties: Criss Cross activity

This is the answer to the Criss Cross Activity (issued to you yesterday)

CHALLENGE: Can we organise the various angles/ properties into some categories?

[HBL lesson] Number Sequence - Chap 7 Exercise 7A Q9 & Q10

Click HERE to access the padlet

Problem Solving with Construction: Where to meet Celine?

[SDL in Sep Holiday] Geometrical Construction (p1 to p9)

Youtube Playlist: Geometrical Construction

Padlet 1: Construction of Perpendicular Bisector, Angle Bisector and Parallel lines

Padlet 2: Construction of Triangles

[Sep Holiday Online Lesson] Handout - Determine Equation of Graph

Complete the assigned collection with proper working. 

Click HERE to access padlet for the question (handout issued in class) to post your worked solution. 

[Study Notes] Class Work 1 (p13) Graph Plotting

We did Class Work 1 in class, which you handed in. The marked copy was returned to you on 1 Sep. 

You may wish to try Class Work 2 on your own as an additional practice.

Click HERE to see Suggested Solution for both Class Work 1 & Class Work 2 

(answers to the questions as well as the graph)

[HW1] 20220830 Understanding Graphs in Real World Context

Click HERE to access the HW1 you did (originally posted in Google Classroom).

You may refer to the answer in the last post in the first column.

Graph Plotting

Click the LINK to access the playlist on read the scale

Read the 2 graphs carefully. What can you say about them?

[HBL 25 August] Unit 7 Linear Functions & Graphs: Gradient

The task was first posted in the Google Classroom on the HBL Day

Click HERE to access padlet 

[Class Work] Study Notes (p8-p10) Linear Functions

Click HERE to access padlet 

[Bite Size] Chap 6 Cartesian Coordinate System

Click HERE to access the padlet.

[Bite Size] Concluding Linear Inequality

Click HERE to access the GoogleForm

Estimated (thinking) time: 5 minutes

[Responses] 

[Bite Size] Solving Linear Inequalities - Handout

You are given the Handout.

• Attempt all the questions (both pages) on the handout.
• For Q6-Q8: You are encouraged to use a number line to aid visualisation.

Click HERE to access the GoogleForm to submit your answers for Q1-Q5.

[responses]

We'll discuss Q6-Q8 during the lesson

[Bite Size] Number Lines & Solving Linear Inequalities

Reference: Discussion in Study Notes (p25)

Click HERE to access the GoogleForm

Estimated duration: 5 minutes

[Responses]

[Bite Size] Inequalities: an Introduction

(A) WARMING UP (approx 5min)



Short Quiz

• Chap 5B Inequalities - Getting to know the Symbols
  
• Click HERE to see responses

Read up study notes page 21 to p24

Meaningful Equations: Some formulae (in advance)

Have you ever wonder how some of these formulae are derived or how to verify some of them?

1. The Pythagoras Theorem

There are 2 clips that's shared during the lesson relating to the Pythagoras' Theorem:

2. Area of Trapezium

Do you know, we can derive the formula for the area of a Trapezium using area of triangle and factorisation?

 

3. Surface area of a sphere

Do you know that the Surface Area of a Sphere is related to the area of circles?

Solving Equations (Discussion) Class Work 4 (p12)

2022 S1-01 Algebra: Solving Equations (Study Notes p10)

Click HERE to access padlet 

[Group Discussion] Factorisation Pyramid Challenge

This was carried out during lesson in the week before National Day (approx 30min).

The challenge is to recognise "characteristics" of the given expression and apply the appropriate factorisation method(s) to factorise the expression completely.

On the whole: 

• Group A 3 points
• Group B 10 points
• Group C 13 points 👏 🏆
• Group D 11 points 
• Group E 12 points 
• Group F 12 points 
• Group G 9 points
• Group H 13 points 👏 🏆

Here's the suggested solution:

[BiteSize] Algebra: Factorisation by CROSS METHOD

Click HERE to access padlet

Algebra: Factorisation by CROSS METHOD

Click HERE to access the playlist 

Introduction: Data Handling - Statistical Investigation

Some new words/ phrases are introduced during the lesson:

• Data points, Sample Size (n ≥ 30)
• Raw data
• Respondents/ Participants
• Survey (as an action/ process or an instrument to collect information)
• Mean, Mode, Median
• Frequency Table, Tally

---

Looking at numbers, statistics from another perspective: Information VS misinformation

Data Handling: Statistical Investigation, simply....

Click HERE to access slides

[Resource] Factorisation by Grouping

Click HERE to access the Youtube clip

[Group Work] Algebra - Factorisation by GROUPING

Click HERE to access Padlet.

[Resource] Factorisation by Common Factors

Click HERE to access the Youtube clip

Click HERE to view the playlist more complex ones... that you would be doing, too! 

[Resource] Factorisation by Special Products

The following clip shows how to factorise quadratic expressions that could be 'derived' from the special Algebraic Identities (or we call them "Special Products" here).

Click HERE to access clip 

Our focus would be the product of the difference, i.e. (A + B)(A - B) = A^2 - B^2

[Group Work] Algebra Factorisation - Special Product (A+B)(A-B)

To be completed by end of Today.

You will need to refer to the feedback for the weekly HW this week

Instructions:
ALL group members will complete the collections assigned. 

Insert Your Name and REMEMBER to label the Question clearly.
e.g. 1A for collection 1, type A

• Collection 1: Groups A & E
• Collection 2: Groups B & F
• Collection 3: Groups C & G
• Collection 4: Groups D & H

• Collection 5: Groups A, D, G
• Collection 6: Groups B, E, H
• Collection 7: Groups C, F

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Click HERE to access Padlet

[Dessert 🍭] Game Mission #1: Algebra - Jumping Aliens

 

Click HERE to access the padlet for the instructions & on how to record the score

[Bite Size] Distributive Law (Study Notes p16)

Click HERE to access the padlet 

[HBL Task 1] [Group Work] Algebraic Fractions - To be completed by end of THU (30 June)

Your Group has been assigned to ONE of the collections. 

While there are 3 questions only and there are 4 of you....

• Type 1: One person
• Type 2: One person
• Type 3: Two persons
• Challenging question: Optional

Click HERE to access the Padlet 

[Updated on 4 July] 

Example (A3)

Example (B2)

The following presents 2 "approaches" to simplify the algebraic fractions. 

Preferred: Method 1, where we simplify the numerator (if it's not in the simplified form) before expressing in a single fraction.

Method 1

Method 2

[Group Discussion] Distributive Law - Divide & Conquer

Useful Resource

Click HERE to access padlet

 

[BiteSize] Algebra (a) Simplifying Expression (b) Simple Expansion

Note: There are 2 padlets in this BiteSize activity.

Questions all from the Study Notes. 

Attempt the questions in the Study Notes before taking a photo and post it in the respective padlets.

(a) Simplifying Expressions

Click HERE to access the padlet

(b) Simple Expansion

Click HERE to access the padlet

[Discussion] Algebra: The introductory Problem (Textbook p92)

Let's take a look at this....

Congratulations! SASMO 2022 Results 👏👏👏

Congratulations to the following for receiving the BRONZE award 

• Dylan Chew
• Tok Kong Yew
• Elliot Tan Hong Kai
• Lee Ting Xuan
• Ang Liang Tze

Click HERE to access the website.

[Do let me know if I missed out anyone. Thanks.]

[HW1a] BiteSize: Algebra - Substitution

Click HERE to access the padlet

Suggested Solution for HW1(a)(b)

[HW1b] BiteSize: Algebra - Simplifying Expressions

Click HERE to access the padlet

 

[Bite Size] Average Speed

Click HERE to access GoogleForm
- A copy of the marked script will be emailed to you.

[Bite Size] Property Tax & Income Tax

Click HERE to access GoogleForm
- a copy of the marked form will be emailed to you

[On Your Own] Percentages in News Reports (18 April 2022) "same same yet different" 🤔

On 18 April 2022, major news agencies reported that Singapore Airlines has made big jumps in terms of the passengers load, compared to last year's performance (2021).

Percentages and Percentage Points were used widely in the reporting. 

• ChannelNewsAsia: Big jump in SIA Group's passenger traffic; capacity expected to reach 61% of pre-COVID levels by May
• The Straits Times: Passenger numbers surge for SIA in March from a year ago as travel restrictions ease

For ease of comparison/ reading, you may open the websites side-by-side for comparison.

One interesting fact is, one of the articles reported the two airlines (SIA and Scoot) carried 790 percent more passengers in March compared to a year ago. Read more about this piece of "fact" from both news articles. 

• Is there any "discrepancy" in the reporting? 
• Is there any recommendation if you have a say in the way the figures are reported? 

There's an opportunity for the CNA to report another figure in percentage that would probably help the reader to understand the growth of passenger load better.

• Can you identify that? What's that information when expressed in percentage?

Percentage point is used in one of the articles. 

• Do you understand what it means?

[Bite Size] Currency Exchange

Click HERE to access GoogleForm.

- You will get a copy of the marked answers via email

[Bite Size] Hire Purchase

Concept of Hire Purchase

 

Bite Size Task

Click HERE to access the GoogleForm

- A marked copy will be emailed to you

[Bite Size] Simple Interest

Click HERE to access the bitesize task (GoogleForm) 

A marked copy will be emailed to you.

[Bite Size] Percentages: (A) Commission (B) GST

(A) COMMISSION

Estimated duration: 5 minutes

Click HERE to access padlet

(B) GST

Estimated duration: 5 minutes

Click HERE to access the padlet