Saturday, 31 January 2015

[Preparation of Next Lesson] Fractions: Spot the "Error(s)"

Source: Study Notes Lesson 4 Rational, Irrational and Real Number System

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

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

 Checked: 25 January 2015 (Sunday), 5 pm Name Question Score AMADEA AUBREY SUPRIYADI Not done AMANDA HAN XIN HUI Not done ANG LIYA Q21 4 / 4 CELINE CHOW YU YING Q11 Not done GRACE CAHYADI Not done KHO HANNAH GABRIELLE CHAO Q12 2 / 2 SUBNAVIS RISHITA Not done ALEXANDER AW LI MING Not done BENEDICT NAI RONG HUI Q17 Not done DYLAN TAN KUN HOU Q25 1 / 3 FERNANDEZ KEVIN ETHAN Q14 1 / 1 JERREMY NG DING JIE Not done KHOR HSIEN KIT Not done LIM JIN ZHI, DYLAN Not done LOH SHAO CONG Not done MALCOLM TAN QI EN Q12 2 / 3 MARCUS TAN ZHENG NING Q8 2 / 2 NG WEN BIN, JUSTIN Not done SIM CHOON WEE Q7 1 / 3 TAN ZI BO Q13 1 / 3 TENG TJIN YAO Q2 3 / 4 VIKHE ARYAN PRAMOD Q24 4 / 4 YEO MING EN Q4 2 / 2 YU MIN SHEN Q 23 4 / 4 YUN KAR KIT Q1 3 / 4

Submission of Alternative Assessment 1 Practice

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

 Timestamp Name Register number Class 1/23/2015 21:16:15 Amadea Supriyadi 1 S1-01 1/23/2015 16:05:56 Amanda Han Xin Hui 2 S1-01 1/23/2015 20:10:25 Ang Liya 3 S1-01 1/23/2015 18:22:16 Grace Cahyadi 5 S1-01 1/23/2015 21:14:18 Kho Hannah Gabrielle Chao 6 S1-01 1/22/2015 19:11:37 alexander aw 8 S1-01 1/23/2015 19:24:22 Dylan Tan Kun Hou 10 S1-01 1/23/2015 10:11:22 Fernandez Kevin Ethan 11 S1-01 1/23/2015 14:30:12 jerremy 12 S1-01 1/23/2015 19:43:55 Khor Hsien Kit 13 S1-01 1/23/2015 13:56:02 Lim Jin Zhi Dylan 14 S1-01 1/23/2015 19:50:51 Loh Shao Cong 15 S1-01 1/21/2015 21:12:43 Marcus Tan Zheng Ning 17 S1-01 1/23/2015 23:18:10 Ng Wen Bin Justin 18 S1-01 1/22/2015 21:49:31 Sim Choon Wee 19 S1-01 1/23/2015 20:56:03 Teng Tjin Yao 21 S1-01 1/23/2015 22:24:53 Vikhe Aryan Pramod 22 S1-01 1/22/2015 17:38:07 Yeo ming en 23 S1-01 1/20/2015 17:37:25 Yu Min Shen 24 S1-01 1/23/2015 15:46:12 Yun Kar Kit 25 S1-01

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
• Ask Mr Jonathan Chua for help - explain to him the situation
• Ask me for help during recess on Monday (26 January)

 Name Register number Remarks Amadea Supriyadi 1 DRIVE NOT SHARED Amanda Han Xin Hui 2 File cannot be opened; wrong format? Ang Liya 3 DRIVE NOT SHARED Grace Cahyadi 5 DRIVE NOT SHARED Kho Hannah Gabrielle Chao 6 File sharing at drive - Check again alexander aw 8 SUCCESSFUL upload & sharing Dylan Tan Kun Hou 10 SUCCESS upload & sharing; but NO SOUND Fernandez Kevin Ethan 11 DRIVE NOT SHARED jerremy 12 DRIVE NOT SHARED Khor Hsien Kit 13 SUCCESSFUL upload & sharing Lim Jin Zhi Dylan 14 EMPTY DRIVE Loh Shao Cong 15 SUCCESSFUL upload & sharing Marcus Tan Zheng Ning 17 DRIVE NOT SHARED Ng Wen Bin Justin 18 SUCCESSFUL upload & sharing Sim Choon Wee 19 SUCCESSFUL upload & sharing Teng Tjin Yao 21 DRIVE NOT SHARED Vikhe Aryan Pramod 22 SUCCESSFUL upload & sharing Yeo ming en 23 SUCCESSFUL upload & sharing Yu Min Shen 24 SUCCESSFUL upload & sharing Yun Kar Kit 25 File 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?

Error Analysis - Assignment 1.1 Q2

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

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, Ï€, 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.

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:

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.
You are required to describe how you make your decision.

(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

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.
(C) Homework: Real World Applications for HCF and LCM

• (Preview of Task) LCM in Real World Application

(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.

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

• 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"

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

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.