Friday, 24 February 2017

[Menu] 23 & 24 February

23 February 2017

1. Review Algebraic Expansion
         - Special Products

2. Introduction of Factorisation
         - Method 1: Identifying Common Factors
         - Method 2: Special Product (A + B)(A - B)

24 February 2017

1. Factorisation (Review)
         - Method 1: Identifying Common Factors (more complex scenarios)
         - Refer to Study Notes

2. Factorisation: CROSS Method (introduction)
         - Applies to Quadratic Expressions only
         - Watch the video clips under "Resource: Unit 4 Algebra (3)"


Revision for Maths Level Test 1

1. Review of Mock Test Paper 2013 Maths Level Test Paper 1
         - We discussed selected Questions
         - Suggested solution is available in the GoogleSite

2. Review of Assignment "Approximation & Estimation"
        - Suggested solution is available in the GoogleSite

3. Revision Papers (Hardcopies) for Unit 01, 02, 03 were given
        - To attempt over the weekend
        - For discussion next week (selected Questions)
        - Suggested solution is available in the GoogleSite for reference


        [updated: 25 Feb] Note: Revision for Unit 02 Q3, there is a missing 'symbol' in the question.
        If should look like this:



Homework

Assigned in Google Classroom - Review of Factorisation
        - To be completed by 25 February (Saturday), 10 pm
        - Total estimated duration: 20 min





Reviewing this week's lesson & Preparing for next week's lesson

Watch the video clips posted in
You may also refer to the Playlists in Algebra
You are encouraged to subscribe to the channel

Some online practices (Progressive Mastery Programme) will be assigned via Ace-Learning.
It is optional, but would be helpful :)




Tuesday, 21 February 2017

[Menu] 21 February

What we did today:

1. Revisited and clarified the common mistakes made (in the Google Classroom tasks)

2. Expansion using Distributive Law
Making connection between Distributive Law and "Area of Rectangle"
(make reference to diagrams in p10)

3. Application of Distributive Law




Homework A: 
(1) Study Notes - p13
Attempt all the questions and submit in Google Classroom

(2) Review Questions - 2 sets (from S2 Maths workbook)

Homework B: To be completed in writing papers for submission on Thursday (23 Feb)
Textbook (p104) Review Questions
Q4(a), (b), (c), (e)

Saturday, 18 February 2017

6 AM Quiz #03: What's Next?

You may click HERE to open up the Form


Click HERE to view responses

Suggested answer


6 AM Quiz #03b: Let's Test FIDO out!

NOTE: This week, there are 2 quizzes. The following (2nd quiz) rides on similar concept as the CRYSTAL BALL. Have FUN (even if you are not solving the puzzle).

In this round of 6 am quiz, you will attempt to uncover the mystery behind Fido's Mind-Reading ability.

Fido claims that he can read our mind.
Click at the following link to test him out!!! :
http://www.digicc.com/fido/

There are several ways to explain Fido's trick, using mathematical reasoning. 
Make an attempt to use ALGEBRA to explain the "trick"?

Enter your thinking (algorithm) in Comments.
Have Fun!



Friday, 17 February 2017

[Menu] 17 Feb 2017

What we did today
1. Operations

2. Expansion using Distributive Law
3. Algebraic Fractions: Watch the following video clips to
Homework Set A - to be completed by 18 Feb 2017, 2359h

1. Questions set by groups in Google Classroom (approx 10 min)

2. Study notes - short practices to review what we learn today (approx 10 min)
Simple Expansion; Algebraic Fractions - in Google Classroom

3. Diagnostic question (Study notes, p7, 3 parts) - in Google Classroom (approx 10 min)

Homework Set B - Written Assignment - to be submitted on 21 Feb 2017 (Tuesday)

Textbook (p104) Review Questions (Approx 30 min)
Q1 (all parts), Q2, Q3 (all parts)



Preparation of next week's lessons

Reading materials will be assigned via AceLearning









Wednesday, 15 February 2017

[15 Feb] Preparation for Next Lesson

Dear S1-01

Arrangement of lesson for 16 Feb 2017:
Please be informed that, Mr Johari will be taking the class tomorrow (16 February).
It will be a combined class (with S1-07).
He will inform you of the venue to report to, tomorrow morning.

Preparation for next lesson (Algebra)
Please attempt the flipped learning materials assigned via ACE-Learning (Reading & Quiz). This is in preparation of the next lesson, too.

In total,
  • There is a set of online learning materials
  • 1 Quiz on simple operations of algebraic expressions
  • 2 Challenges - known as Progressive Mastery Programme (PMP) where you will enter into a cycle questions and your objective is complete the cycle with the least number of questions.
Complete the above as soon as you could.

You should have received a set of Study Notes for Algebra (through Hao Min). Please bring along.
The softcopy is also available at the GoogleSite (scroll down to look at Unit 04 Algebra). In addition, please remember to bring along your Maths Notebook.


Tuesday, 14 February 2017

[Menu] 14 Feb 2017


What we did in class today

1. Substitution
Spot the Error and understand what's wrong through
2. Understanding Conditions 
Learn to justify a stand and provide example(s) to substantiate a stand

Self-Directed Learning (SDL): Percentages


Homework

1. Task in Maths Blog
2. Task in Google Classroom
  • Algebra... Which is larger? (II) [approx. 3 min, with reference to the activity we did in class]
  • Algebra... Different "Faces" of Algebra (II) [approx. 3 min]
  • [Homework] Algebra - "Translating Words to Expressions" (Workbook p34, Q14(a), (b), (c), (d)) [approx. 4 min]
  • [Homework] Algebra - Word Problem (Textbook p92, Q13) ADVANCED Level [approx. 5 min] 
Complete these diagnostic activities if you have not done so
  • [Diagnostic] Algebra - Word Problem (Textbook p92, Q11)
  • [Diagnostic] Algebra - Word Problem (Textbook p92, Q12)

Substitution: Can you tell What's Wrong? (1)


Substitution: Can you tell What's Wrong? (2)


Algebra... Which is larger? (I)



Which is larger in magnitude?
5 + n or  5n

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


Enter your response in Comments.
This question is compulsory.

Algebra... Different "Faces" of Algebra (I)

The total length of 4 roads is (3x - 1) km.
What are the possible lengths of the 4 roads in kilometres?
Note that x is an integer.

e.g. The length of the 4 roads are: x km, x km, x-7 km, 6 km
Check: x + x + (x - 7) + 6 = 3x - 1

Enter your suggested lengths in comments.
You may also enter any assumptions you made to your answers.

Friday, 10 February 2017

[Menu] 10 Feb: An Introduction to Algebra

What we did today

1. Introduction - Algebra to unveil the magic behind puzzles
  • The Flash Mind Reader
2. Vocabulary: Variables, Constant, Coefficient
  • Difference between constant and variable 
  • Algebra Garden - Contextualise and Assumptions
  • What's Expression & What's Equations
3 Substitution
  • Workbook (p39) Q2(e), (i)
4. Introduction to Operations 

Homework

Assigned at Google Classroom
1. [Homework] Algebra - "Translating Words to Expressions" (Textbook p91, Q6(a),(b))
2. [Homework] Algebra - Substitution (Textbook p91, Q7(a),(b),(c),(d))
Total duration: approx 10 min
Deadline: 12 February 2017 (Sunday)

Assigned Hardcopy 
Read the instructions carefully.
Write your working and answer on paper.
Staple the question paper on top of the answers before submitting.

2015 Level 1 Test papers - REVISION
Total duration: approx. 45 min
Hardcopy is issued to all students
Deadline: 14 February 2017 (Tuesday)







Introduction to Algebra... Crystal Ball Gazing...


Could you UNCOVER THE MYSTERY behind the crystal ball?
(in the Algebraic way!)
Submit your explanation under comments...

Algebra: Variables & Constants



Click HERE to see what your classmates think!

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...


Thursday, 9 February 2017

[Quick Review] Round off... Significant Figures

Click HERE to access the form to answer the Questions in
Workbook (p23)
  • Q7a, c, e, g, i, k
Deadline: 9 February 2017 (Thursday), 2359h
Estimated duration: 5 minutes
Click HERE to view responses.

Guess My Age

Monday, 6 February 2017

[Menu] 6 Feb 2017: Recurring Decimals and Precision of Numbers

Unit 02: Real Numbers: Recurring Decimals
We continued the discussion (after the exploration in last lesson):
  • Identifying the repeating pattern
  • Look for repeating patterns after decimal point only; start from the first non-zero digit
  • For patterns with more than one digit in the repeating pattern, the dot will appear above the digit at the start and at the end of the pattern only
Ethan shared the class how to show 0.9999.... = 1 (Refer to study notes, p2).
Other resource: (Optional) "Un-doing" Recurring Decimals to Fractions


Unit 03: Approximation & Estimation
1. The difference between approximation & estimation
  • Approximation: Rounding off of numbers (decimal places; significant figures)
  • Estimation: Calculation is involved, usually involving an approximated figure
2. Degree of accuracy (how precise a number is) depends on the context
  • Through illustrations

Homework

1. Activity 2: Approximation and Precise Figures: When to use what? (approx. 10 min)
Post one article and comment the choice on the degree of accuracy used by the reporter

2. [Homework] Rounding Off... Decimals (approx. 10 min)

3. [Homework] Approximation: What are the EXTREMES? (approx. 10 min)

4. [Homework] Introduction to Significant Figures (approx. 20 min)

All to be completed online and by 7 February 2017 (Tuesday), 2359

Remember to bring along your Maths Workbook for the next lesson on Thursday.

Please bring along your Homework (last week) on 7 February 2017 - Hao Min will help to collect and deposit the homework in my pigeonhole by recess.

Update: AA1

This is to confirm that:

  • The duration of the video clip is capped at 5 min. Any content presented beyond the first 5-min will not be marked
  • Remember to acknowledge the resources in the last slide
  • Punctuality is important.  Technical issues such as difficulty to upload file due to unavailability of wifi should be addressed before the deadline.
  • Late submission (within 1 week): 50% of the marks attained.
  • The entire AA1 constitutes to 10% of the overall assessment.

[Homework] Rounding Off... Decimals

Click HERE to access the form to enter your answers to:

  • Workbook (p22) 
    • Q2a, c
    • Q3a, c
    • Q4a, c
    • Q5
Estimated duration: 10 minutes
Complete this by 7 February 2017 (Tuesday), 2359

Click HERE to view responses.

[Homework] Approximation: What are the EXTREMES?

In this activity, you are going to read TWO articles where approximated values are used.
Your task is to figure out what are the possible extreme figures in each scenario.

  • Click HERE to attempt the task.
  • Click HERE to view responses
Estimated duration: 10 minutes
Complete this by 7 February 2017 (Tuesday), 2359h




[Homework] Introduction to Significant Figures

Watch the video clips to learn how to round off numbers to different degree of accuracy (significant figures):


Refer to your Study Notes on UNIT 3: Estimation and Approximation LESSON 2 (p3)
Attempt the questions in the notes before submitting your answers HERE.

Estimated duration: 20 minutes
To be submitted by 7 February 2017 (Tuesday), 2359h


Updated on 9 February 2017 (for discussion)

Click HERE to view responses

[Something FUN] The "Guessing" Game

  • Visit http://goo.gl/QOJAtZ
  • Choose “Multiply Tens” for Game Type.
  • Score as much as possible within the timeframe of the game.


Introduction: Precision matters - To who?

Read the article, "Nepal in new bid to finally settle Mount Everest height"
http://www.bbc.co.uk/news/science-environment-17191400



Introduction: Why precision matters?

Swimming at the 2016 Summer Olympics – Men's 100 metre butterfly


What happens if the time recorded is rounded off to 1 decimal place?
Would history for some swimmers be re-written?

Approximation and Precise Figures: When to use what?


Activity 1: 

Click HERE to respond to the survey.

Click HERE to see responses.


Activity 2:

When do we use exact figures or is approximated figure suffice? It depends on the context.

[TASK]
Go through the local newspapers website and identify an article where figures reported are approximated or exact (you may have both types of figures appear in the same article) and explain why you think the reporter made that choice of degree of accuracy.

Suggested local newspapers websites:



Click HERE to access the padlet if you have difficulty viewing or doing the task in this post (directly)

Made with Padlet



Sunday, 5 February 2017

(Optional) "Un-doing" Recurring Decimals to Fractions

We learnt what Recurring Decimals (sometimes known as "Repeating" Decimals") in the last lesson.
Here's a clip to show how to convert the recurring decimal to fraction.

Saturday, 4 February 2017

Friday, 3 February 2017

[Menu] 3 Feb 2017: Real Numbers - Operation of Rational Numbers; Recurring Decimals

1. Order of Operations
- involving negative fractions
- error analysis

2. Recurring Decimals
- exploration

3 Introduction of Significant Figures
Bring your workbook to school for next lesson (on Monday 6 Feb 2017)

Homework:

The following were assigned on 2 Feb (Thursday). 
Some of you would have completed these already.

1. Attempt the following and post your complete solution in the Google Classroom by 3 Feb 2017, Friday, 2359
  • Workbook 1 (p14) Q24(e)
  • Workbook 1 (p15) Q26(e), (i)
Estimated duration: 15 min

2. Attempt the following on writing papers.
Copy questions & Show your working clearly.

Workbook 1 (p13-19) Intermediate
  • Q18(a), Q18(c), Q47
  • Q22(a), (c), (e), (f), (i)
  • Q24(a), (c)
  • Q26(b), (d)
  • Problem sums: Q36, Q37

Estimated duration: 1 h 30 min
Deadline: Monday 6 February 2017 

Alternative Assessment 1 (AA1)

The Alternative Assessment (AA) will be available via the GoogleSite from TODAY.
Deadline: 10 February 2017 (next Friday)

Suggestion:

1. Read the tasks carefully and start to carry out the necessary information search.

  • Remember to record down the sources (i.e. the websites where you obtain the information from, or you had make reference to).
  • You must acknowledge these sources by citing them at the last slide or last page in your viva voce.

2. The feedback to your Practice should reach you latest by tomorrow noon.
Read the feedback and take into account the areas for improvement before you proceed to the go the viva voce.

3. You are required to submit your AA1 via the Google Classroom (The assignment will be sent to you end of today).

  • Clips not submitted via the Google Classroom is considered as a non-submission.

Key Pointers for Operations of Fractions

Study Notes: Lesson 4 (p2)

Activity & Discussion: Spot the Error

Study Notes: Lesson 4: Operations of Fractions
 

Rational Numbers: Recurring Decimals


More examples


Source: Ace-Learning Portal



We explored fractions from 1/2 to 1/20 with a spreadsheet today to take note of patterns of numbers.

You may refer to the spreadsheet you created (click sample HERE).

As there is a limit to the number of decimal places the spreadsheet can display,
how would you decide if 1/17 and 1/19 are recurring decimal, terminating or non-terminating decimal?

Enter your suggestions in the Comments.




Thursday, 2 February 2017

[Menu] 2 Feb 2017: Real Numbers - Order of Operations

1. Order of Operations
- using BODMAS Rule to guide

2. "Operating" on Fractions
- involving negative fractions


Homework

1. Attempt Study Notes (Unit 2, Lesson 4) p2 Tier A & Tier B
For tomorrow's (3 Feb 2017) discussion.


2. Attempt the following and post your complete solution in the Google Classroom by tomorrow (3 Feb 2017, Friday, 2359)
  • Workbook 1 (p14) Q24(e)
  • Workbook 1 (p15) Q26(e), (i)
Estimated duration: 15 min


3. Attempt the following on writing papers.
Copy questions & Show your working clearly.

Workbook 1 (p13-19) Intermediate

  • Q18(a), Q18(c), Q47
  • Q22(a), (c), (e), (f), (i)
  • Q24(a), (c)
  • Q26(b), (d)
  • Problem sums: Q36, Q37

Estimated duration: 1 h 30 min
Deadline: Next Monday 6 February 2017