Saturday, 31 January 2015

Friday, 30 January 2015

Distributive Law

Step-to-step guide...




Here are more examples involving negative integers



During lesson, we discussed the working by each group (that presented the working & answers on the board). Here's the complete set of working.



Making connections... from numeric to algebra (from concrete to abstract)







Monday, 26 January 2015

Preparation for next lesson (1) Fractions

Building on what we learnt today (4 operations of integers), we are going to work with fractions in the next lesson.


Watch/ Read through these materials before the next lesson

What strategy should we adopt when evaluating the following (without the use of calculator)?




Preparation for next lesson (2) Fractions

Working 1:

Look at the working presented below. 
2 useful strategies were used. 
Do you know what are they?



Working 2:

Look at the working presented below.
What's "wrong" with the working presented?






Application of Real Numbers

Let's read the following and attempt to answer to the parts (a), (b), (c).

In this question, it measures the amount of water captured by the 4 reservoirs based on the rise & fall of the water levels. What assumption does to question make in order for your answers to be valid?

Source: S1 Maths workbook

In your notebook
Let's describe the change of the water level using number lines - one line for each reservoir.



Sunday, 25 January 2015

In summary... Whole Numbers, Integers, and Number Line



Click HERE to watch the part that explains the addition and subtraction of integers (including negative numbers)


Submission of "Divide and Conquer" homework

Submission status of task (Click HERE to view post related to task)

Checked: 25 January 2015 (Sunday), 5 pm
NameQuestionScore
AMADEA AUBREY SUPRIYADINot done
AMANDA HAN XIN HUINot done
ANG LIYAQ214 / 4
CELINE CHOW YU YINGQ11Not done
GRACE CAHYADINot done
KHO HANNAH GABRIELLE CHAOQ122 / 2
SUBNAVIS RISHITANot done
ALEXANDER AW LI MINGNot done
BENEDICT NAI RONG HUIQ17Not done
DYLAN TAN KUN HOUQ251 / 3
FERNANDEZ KEVIN ETHANQ141 / 1
JERREMY NG DING JIENot done
KHOR HSIEN KITNot done
LIM JIN ZHI, DYLANNot done
LOH SHAO CONGNot done
MALCOLM TAN QI ENQ122 / 3
MARCUS TAN ZHENG NINGQ82 / 2
NG WEN BIN, JUSTINNot done
SIM CHOON WEEQ71 / 3
TAN ZI BOQ131 / 3
TENG TJIN YAOQ23 / 4
VIKHE ARYAN PRAMODQ244 / 4
YEO MING ENQ42 / 2
YU MIN SHENQ 234 / 4
YUN KAR KITQ13 / 4

Submission of Alternative Assessment 1 Practice

To-date (25 January 2015, 9 am), the following have already submitted your work:

TimestampNameRegister numberClass
1/23/2015 21:16:15Amadea Supriyadi1S1-01
1/23/2015 16:05:56Amanda Han Xin Hui2S1-01
1/23/2015 20:10:25Ang Liya3S1-01
1/23/2015 18:22:16Grace Cahyadi5S1-01
1/23/2015 21:14:18Kho Hannah Gabrielle Chao 6S1-01
1/22/2015 19:11:37alexander aw8S1-01
1/23/2015 19:24:22Dylan Tan Kun Hou10S1-01
1/23/2015 10:11:22Fernandez Kevin Ethan11S1-01
1/23/2015 14:30:12jerremy12S1-01
1/23/2015 19:43:55Khor Hsien Kit13S1-01
1/23/2015 13:56:02Lim Jin Zhi Dylan14S1-01
1/23/2015 19:50:51Loh Shao Cong15S1-01
1/21/2015 21:12:43Marcus Tan Zheng Ning17S1-01
1/23/2015 23:18:10Ng Wen Bin Justin18S1-01
1/22/2015 21:49:31Sim Choon Wee19S1-01
1/23/2015 20:56:03Teng Tjin Yao21S1-01
1/23/2015 22:24:53Vikhe Aryan Pramod22S1-01
1/22/2015 17:38:07Yeo ming en23S1-01
1/20/2015 17:37:25Yu Min Shen24S1-01
1/23/2015 15:46:12Yun Kar Kit25S1-01

For those of you who have submitted your work due to technical difficulties, you may send me an email or check with any of the classmates above on how they had overcome the technical difficulties.

For those who have submitted, not all are successful in your submission:

For those unsuccessful submission...
Check your upload settings again. If you are not sure how to do, you can seek help from one of the following by Monday (26 January)

  • Watch the video clips that are uploaded at the task page
  • Classmates who have successfully uploaded their clips to the GoogleDrive
  • Ask Mr Jonathan Chua for help - explain to him the situation
  • Ask me for help during recess on Monday (26 January)

NameRegister numberRemarks
Amadea Supriyadi1DRIVE NOT SHARED
Amanda Han Xin Hui2File cannot be opened; wrong format?
Ang Liya3DRIVE NOT SHARED
Grace Cahyadi5DRIVE NOT SHARED
Kho Hannah Gabrielle Chao 6File sharing at drive - Check again
alexander aw8SUCCESSFUL upload & sharing
Dylan Tan Kun Hou10SUCCESS upload & sharing; but NO SOUND
Fernandez Kevin Ethan11DRIVE NOT SHARED
jerremy12DRIVE NOT SHARED
Khor Hsien Kit13SUCCESSFUL upload & sharing
Lim Jin Zhi Dylan14EMPTY DRIVE
Loh Shao Cong15SUCCESSFUL upload & sharing
Marcus Tan Zheng Ning17DRIVE NOT SHARED
Ng Wen Bin Justin18SUCCESSFUL upload & sharing
Sim Choon Wee19SUCCESSFUL upload & sharing
Teng Tjin Yao21DRIVE NOT SHARED
Vikhe Aryan Pramod22SUCCESSFUL upload & sharing
Yeo ming en23SUCCESSFUL upload & sharing
Yu Min Shen24SUCCESSFUL upload & sharing
Yun Kar Kit25File sharing at drive - Check again



Error Analysis - Assignment 1.1 Q1

(1) What is wrong with this set of answers?



(2) If you are required to justify your answer in the following, what would you do?
(What are the additional steps/ information that you would include in your answer presentation)?



Error Analysis - Assignment 1.1 Q2

Read the question and answers carefully.

Can you tell what is wrong with the answer presentation?



Error Analysis - Assignment 1.1 Q3



Read the working in each of the following set carefully


Working 1:



Working 2:



Working 3:



Working 4:




Friday, 23 January 2015

Numbers... How they look like on Number Lines

Read the following examples carefully.

Take note how the number lines are drawn and how are the numbers, in each case are represented on the number line.

Note that in e.g. 1 & e.g. 2, we can indicate the dots on or on the number line because they are discrete & unique, and therefore the dot is clear. It would be a good practice to put the dots above the line.











"What's Wrong?" with these Number Line

Question:
Represent the following numbers on a number line: 5, -1/11, π, 0.9

Below are 4 number lines that have "gone wrong".
Do you know what's wrong with these number lines?

Line (1)

Line (2)

Line (3)

Line (4)

Think through before clicking at "Comments" to find out "What's Wrong".

After note (25 Jan 2015, 6 am): 
The following groups are awarded additional points (reasons - see the comments to their responses)
Group 1: -
Group 2: 3 + 2 + 4 (Choon Wee) = 9 points
Group 3: -
Group 4: 3 points

Do check out Choon Wee's answers.

Real Numbers: Points to Ponder #1... Rational Numbers on a Number Line?



Enter your response to the following in "Comments". 


Divide & Conquer: 01 Primes, HCF & LCM

Click HERE to open the slides for editing (only S1-01 students are given the right to edit)
Task to be completed over the weekend.

Click HERE to access the entire set of questions (only S1-01 students are given the right to view)





Thursday, 22 January 2015

Preparation for 4 Operations of Real Numbers

Watch the video clips in the PlayList

Real Numbers: Which TRIBE do I belong to?

The relationship between the numbers system is as follows:



Amongst the 4 types of numbers,

  • NATURAL NUMBERS is the smallest of all - starts from 1, followed by 2, 3, 4, 5, ... basically, it's positive integers
  • INTEGERS is made up by negative integers (-1, -2, -3, .... ), zero (0) and positive integers (1, 2, 3, ...)
  • RATIONAL NUMBERS are numbers that can be expressed as a fraction a/b such that both a and b are integers and b is non-zero. Integers and natural numbers are rational numbers since we can express them with denominator = 1.
  • REAL NUMBERS are numbers include natural numbers, integers and rational numbers. It also includes numbers that cannot be expressed as a fraction, e.g. pi, square root of 2


Use the following exercise to check your understanding:



Answers submitted by the Group








Wednesday, 21 January 2015

Venus Transit - what has it got to do with Maths?

How do astronomers & scientists predict when Venus Transit takes place?

Let's read what NASA says :)

 

When to use - HCF and LCM - to solve the problem?

This is a 10 minute quiz where you are to decide which technique/ method to be applied in each situation.
Think carefully, check your answers (for consistency) before submitting your answers.
You are required to describe how you make your decision.



Click HERE to view list of responses

(Preview of Task) HCF in Real World Applications

Complete the following task by 22 January 2015 (Wednesday) 2359h
Click HERE to access the Presentation slides


(Preview of Task) LCM in Real World Application

Complete the following task by  22 January 2015 (Wednesday) 2359h
Click HERE to access the Presentation slides


Study Notes (Tier C) LCM/ HCF Questions

As discussed during lesson, here's the complete working.




Weekend Food for Thought: Pondering over Primes 01

A number's prime factorisation is
23 X 32 X 52
Is the number even or odd? Explain your reasoning.
Name four other factors of this number, other than 2, 3 and 5.

Remember to include your Group Number at the end of the comment.
Complete by 18 January 2015.

Monday, 19 January 2015

19 January 2015: Lesson Follow-up

There are several items for follow-up today:

(A) Diagnostic Test for Real Numbers

  • Date: 20 January 2015 (Tuesday)
  • Time: 1.35 pm to 1.50 pm
  • Venue: S1-01 classroom
  • What to bring: Calculator

Please have a heavier meal during recess.

(B) Homework: Assignment 1.2

  • To be completed and submitted on 21 January 2015 (Wednesday)
  • Aryan would have distributed to the class by the end of today.


(D) Practice for Alternative Assessment 1
  • In preparation of the Alternative Assessment (in Term 1 Week 4), a Practice Task has been assigned to you. 
  • Read the details and attempt the task, to be submitted by this Friday (23 January 2015).
  • You may send an email to me to clarify if necessary.

(E) Diagnostic Test - Overview (Answers)

  • File the copy of the Diagnostic Test paper was returned to you.
  • The suggested answers are now available in the GoogleSite - please check and download

Friday, 16 January 2015

Weekend Food for Thought: Pondering over Primes 02

Given that 74 088 000 = 2^m X 3^3 X 7^3 X 5^n, find the values of m and n.


Key in the values of m and n under Comments

Remember to sign off with your group number.
Complete this by 18 January 2015.

Finding Cube Root... What's wrong with this working?

Question: Find the cube root of 13824

Read the working carefully.
  • Highlight area(s) that you think is incomplete
  • Identify an 'critical' mistake - because of the way the working is presented
  • Point out what's 'wrong' with the final statement



After note:

As discussed in class, the working of the prime factorisation is incomplete.

The critical error is, after the line 13824 = 24 x 24 x 24,
the student continued to write "= 24".
He should write "cube root of 13824 = 24"

Class Discussion: When the condition changes...


Thursday, 15 January 2015

HCF and LCM: Is this TipSheet Useful?

Some teachers had a discussion about when to use HCF and LCM. Here's one suggestion by the teacher named "Funny".

  • Do you agree with what she suggested? 
  • Are those pointers useful? 

Share under "Comments" if you have other insights on this :)

Note: 
In overseas context, Highest Common Factor (HCF) is also known as Greatest Common Factor (GCF)



Wednesday, 14 January 2015

Divisibility of Numbers


Point to Ponder (1) What do you think?

To solve part (a) of the question, Antonio applied the divisibility rule for 11.


Here is Antonio's proposed solution for (a)


In pairs, discuss and comment if you agree with his proposed solution

  • agree, indicate Yes... this is what we think, too.
OR
  • disagree (with the entire working or part of it), elaborate why.
Remember to sign off with both names.