Saturday, August 19, 2017

6 AM Quiz: Squeeze squeeze... what's your size?


Click HERE to access the 6 AM Quiz
<click HERE to see the responses>





Thursday, July 27, 2017

Geometrical Construction: For Discussion - Parallel Lines

Let's hear what Paul and Pauline say... Do you agree with them?




Ponder over what they said. We'll discuss this in the next lesson.

Geometrical Construction (1) Spot the Errors

Instructions:

1. Watch the clips and spot as many errors as possible.
2. Describe the error in "Comments" (e.g. What is wrong with the way the person did the construction? What should he do instead.)

Complete the task by Saturday (29 July 2017), 10 pm so that we can review your work and discuss in the next lesson.


TASK 1
Watch the clip and try to spot as many errors as possible.




TASK 2
Watch the clip and try to spot as many errors as possible.

Geometrical Construction (2) Little Red Riding Hood needs help!

Task to be completed by next Saturday (29 July 2017, 10 pm).



Additional Information:
Shortest distance between Grandma's house (G) and her house (H) is 10 km.
Draw a straight line on a plain paper with the scale, 1 cm to represent 1 km.
From there, construct the suggested path.

Take a photo of the constructed diagram and post it in the padlet below:

Direct LINK to the padlet.

Made with Padlet














Geometrical Construction (3) Where Shall We Meet?

Task to be completed by next Saturday (29 July 2017, 10 pm).


The location of the houses of three friends, Antonio, Benedict and Celine happened to form an equilateral triangle. They meet quite often to catch up with each other; however, none of them want to invite their friends home. To be fair, they decided to meet at a place that is most 'central' to all.

Point to ponder...
  • What would you suggest? 
  • How would you do it if you have their houses marked on a map already?


Note: There is a typo-error in the above diagram, it should be "Benedict"


Your Task: 

Assume that each house is 8 km from the two other houses.
(i.e. the length of the equilateral triangle is 8 km).
Taking the scale, 1 cm to represent 1 km, construct the equilateral triangle on a sheet of paper.

On this diagram, construct the relevant "some lines" to help you find the centre meeting point.
Hint: Perpendicular Bisectors, Angle Bisectors

Take a photo of your diagram (make sure it is clearly labelled) and post it in the padlet.

Direct LINK to access the padlet.


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Monday, June 5, 2017

June Holiday and Semester 2 preparation



The Math folder that was given to your just before the June holiday contains the following:
  1. Common Test paper (corrections should have been completed)
  2. Common Test paper review (this is an error analysis paper based on the mistakes made by the students - they have to identify the mistakes made by circling them in green ink and stating the source/cause of errors.
  3. 2 timed practice papers (they have re-attempted the paper for selected questions) (these papers have been graded)
  4. Personal Reflections (Post Common test 2017) (They should review what they have written and have been told to set a feasible strategy for semester 2)
  5. Bridge to Algebra (Practice puzzles for essential skills) (set of worksheets to test their fundamental concepts of Arithmetic and Algebra - to be written in their exercise book with full working shown.)
  6. S1 June Holiday Engagement - sample questions from OECD's PISA ASSESSMENTS (refer (B))
  7. Practice Questions based on GCE papers (suggest timed practice: 1mark = 1.5 minutes) (will be graded by teacher)
  8. Geometrical constructions (note) (refer to (C))
  9. Geometrical constructions (assignment 1) 
  10. Geometrical constructions (quiz)




June Holiday Engagement - Consolidation and Revision

Through the lessons and assessments, your child would have realised by now that, all the knowledge and skills learned are inter-connected and they lay the foundation to subsequent topics. It is, therefore, important for them the master new skills and strategies though sometimes they could apply skills and strategies they already know to (in primary school). They have to recognise the need to expand their repertoire of skills.

During the June holiday, we hope that students could take some time to unwind and rest. 
On the other hand, we would also like them to keep in touch with what they have learned so that it would be easier for them to pick up the momentum when the new term starts in 5 weeks' time.

Based on the analysis of their test performance as well as global trends, we have put together selected questions from the sample questions from the OECD's PISA assessment (which are related to the S1 topics) as the June Holiday Engagement Challenge. 
  • The questions will require students to apply reasoning skills and articulate their train of thought clearly in the written form, which are competencies that 21st-century learners need to develop. 
The set is included in the Holiday work folder. On the whole, the task should not take more than 4 hours. They are advised not do all questions in a single attempt. They may stagger the tasks over a few days and attempt the tasks in any order. 
  • Submission: Term 3 Week 1 (to be attempted on the PISA paper provided and may use own paper where necessary)
  • Softcopies of the handout is available via the GoogleSite (login required). 
Please advise your child to manage his/ her time well as it could be very stressful if he/ she is going to cramp all the work to be completed just before the school reopens.



Planning Ahead

In Term 3, the following topics will be covered:
  1. Geometrical Construction
  2. Functions and Linear Graphs
  3. Data Handling
To prepare ahead, students can refer to the textbook for the above topics to read ahead.
Reading resources from the Ace-Learning will be assigned (optional) - for those who would like to preview the topics before Term 3 starts.

For Geometrical Construction
  • The topic was introduced last week when the class was briefed on the expectations and preparation needed before school reopens.
  • Study notes for this topic were given last week. 
  • Softcopy of the notes and resource materials are available at the GoogleSite.
  • This is a partial-Self-Directed Learning (SDL) topic. Video clips to guide construction skills are available in the GoogleSite.
For Data Handling and Functions and Linear Graphs
  • Study notes for this topic will be given in Term 3.
  • Data Handling begins with solving simple problems with 4 statistical representations that they learned in Primary School.
  • Functions and Linear Graphs will require them to apply knowledge and skills learned in Algebra, and they are required to plot graph.
  • No task on this topic is assigned.

Thursday, April 20, 2017

COLLABORATIVE LEARNING: Rate, Ratio & Speed

Instructions


This topic is on Rate, Ratio and Percentage.
Attempt the task on papers.
Remember to label the parts and show your working clearly.
you may refer to additional resources for support.

Allocation of Task


COL Revision: Rate & Speed (Q1) The Traveller's Route

Instructions
Attempt the task on papers provided.
Remember to label the parts and show your working clearly. Presentation must be clear.
Post your group's answer in the Padlet below. Remember to indicate the group name and the members who work on the task.

Eunice is driving from Singapore to Malacca, Malaysia.



Eunice is driving from Singapore to Malacca, Malaysia. She leaves Singapore Woodlands checkpoint at 08 30 and travels the first 60 km of the journey at an average speed of 25 m/s and the next 120 km at an average speed of 80 km/h. She stops at Muar for a 30-minute break before continuing the last part of her journey at an average speed of 90 km/h in 35 minutes.

(a) Convert 25 m/s to km/h. [1]
(b) What time does she reach Muar? Give time in the 24h notation. [3]
(c) Find the average speed for its entire journey, giving your answer in km/h. [3]





Made with Padlet

COL Revision: Rate & Speed (Q2) The Singapore Flyer

Instructions
Attempt the task on writing papers.
Remember to label the parts and show your working clearly. Presentation must be clear.
Post your group's answer in the Padlet below. Remember to indicate the group name and the members who work on the task.

At a height of 165m, Singapore Flyer is one of the world’s largest Giant Observation Wheel and also one of Asia’s biggest tourist attractions.



The diameter of the Singapore Flyer measures at 150 metres, and it travels at an average speed of 0.24 metres per seconds. 

(a) Express its average speed in km/h

(b) How long (in minutes) does it take for the flyer to complete one revolution?

(c) The company is promoting the "dining capsule" concept, inviting people to dine in the capsule. If the meal lasts for one hour, how many revolutions would the diner have gone through for his meal?

Additional information

Circumference of Circle = 2 π r   where r is the radius and use π = 3.142


Sources:
Video clip: Youtube https://www.youtube.com/watch?v=bt-9iRriklI
Information: http://www.singaporeflyer.com/about-us/fun-facts-about-the-flyer/Made with Padlet




Made with Padlet

COL Revision: Ratio (Q3) Precious Gold

Instructions
Refer to the Handout and attempt the task on writing papers.
Remember to label the parts and show your working clearly. Presentation must be clear.
Post your group's answer in the Padlet below. Remember to indicate the group name and the members who work on the task.


By mass, Yellow Gold 18K is made up of 75% of Gold (Au), 15% of Silver (Ag) and the remainder is made up of Copper (Cu), by mass.

(a) Find, by mass, Au : Ag : Cu, giving your answer in the simplest form. [1]

(b) A goldsmith is tasked to make a piece of jewellery with Yellow Gold 18K. With 2.25g of Silver, how much of gold and copper would be needed to form the alloy? [2]

(c) If this piece of jewellery is to be melted into liquid alloy
(i) Find is the volume of the alloy. [3]
(ii) Compare the volume with that of a 15g of pure 24 carat gold, which has a greater volume – Yellow Gold 18K or 24 carat gold? [2]

Given that the density of Gold is 19.3 g/cm3, Silver is 10.49 g/cm3 and Copper is 8.92 g/cm3.

Source: http://www.gold.org/jewellery/about-gold-jewellery


Watch the following clip for background info that would help you understand the context of the question better:

Mass, volume and density are related by an equation: density = mass ÷ volume







Made with Padlet

COL Revision: Ratio (Q4) Fresh Lemonade for all

Instructions
Refer to the Handout and attempt the task on writing papers.
Remember to label the parts and show your working clearly. Presentation must be clear.
Post your group's answer in the Padlet below. Remember to indicate the group name and the members who work on the task.



Ms Lee, the Sports & Wellness teacher, is going to conduct a fresh juice making class in the “Eat Healthy, Live Healthy” week. She is going to teach participants how to make fresh lemonade, with reference to a recipe available at https://www.sunkist.com/recipes/fresh-lemonade/

Find out, from the website, the amount of ingredients that Ms Lee needs to prepare for each participant, enough to make the beverage for 4 servings.

(a) Express the ratio of lemon juice, water and sugar in its simplest form. [2]

(b) If only 10 cups of lemon juice are available, what is the maximum number of participants that Ms Lee can have for the workshop if she needs to ensure every participant has the same amount of ingredients for the workshop? [1]

(c) Based on the constraint she has in (b), how much water and sugar does she need for her workshop? [2]
 You may check your answer at the website.

(d) If Ms Lee wants to prepare enough lemonade for all participants (not including herself), find out from the website how much of each type of ingredients she needs. [1]


Source: https://www.sunkist.com/recipes/fresh-lemonade/

Made with Padlet

ALGEBRA : ERROR ANALYSIS






Click HERE





Monday, April 3, 2017

Introduction to Inequality



(1) What do these symbols mean?




Click HERE to see responses


(2) Making connection




Click HERE to see responses

(3) Checking Understanding



Click HERE to see responses






MathMagic - Perfect Squares without Calculators!

Something interesting... about the unknown "x" in Algebra



Click HERE to read transcript.

Friday, March 24, 2017

Khan Academmy

Khan academy


Congratulation for those who have embarked on this journey.

Use this on-line platform for the following:
.1 building competency especially in Arithmetic and Algebra
.2 Self directed learning - you may watch the video countless times for greater scrutiny, practice the questions etc
.3 Do not just focus on the elementary, loom at the tougher questions.
.4 Use this to supplement your learning and understanding in school.

I suggest you focus MORE on algebra especially expansion and factorisation. Then you may progress to equation and word problems.

Topic on Factorisation - do a search to be led into this page.


Scorer so Far


HOMEWORK @ 24 March 2017



Things to do - Homework 
[the time given serves as a guide in your time management]


Activity: Algebra (24 February)

1. Complete the Unit 4: Algebra  (assigned in Term 1 Week 9)
    due  31 March 2017 (Friday)           
  • This was given before the March holiday and you have been tasked to complete the e-note especially the ones highlighted in yellow.
                        
  • Complete the assignments / practices in your NOTEBOOK.
                          
  • [25 minutes] to review work given before the March holiday and highlight any difficulties encountered to teacher via email or face to face.
2. ACE LEARNING activities 
    due  29 March 2017 (Wednesday)        
Part 1: Factorisation by Grouping
Go to Secondary 2 Express - then - Algebra - then - Factorisation of Algebraic Expressions - then - Factorisation by Grouping as shown and complete the next 2 questions in your NOTEBOOK.


Part 2: Factorisation by Cross Method
Go to Secondary 2 Express - then - Algebra - then - Quadratic Equations and Graphs - then - Factorisation of Quadratic Expressions
focus on the Cross method


go through the concept and attempt the ACE Learning Quiz given to you.
Duration [1-1.5 hours pending intensity of practise]

3. Level Test Paper
    due  27 March 2017 (Monday)        
Please complete your correction and the additional piece on Self Assessment.
Ask your parents to acknowledge and sign the paper.
Return the paper to me on THURSDAY, 30 March 2017.

4. Mathematics Topical Check / Quiz
    due  27 March 2017 (Monday)        
A one-page quiz has been given on Friday. Topic is on Algebra - Expansion.
Suggest you revise before attempting the paper on your own. If possible do time trial. It should not take you more than 30 Minutes. 
Return it on MONDAY. 27 March 2017. 
Marks will be recorded and non submission will be given 0 and a separate test.
Duration [ 30 minutes max]

5. Assignment 4.4 and 4.6
    due  29 March 2017 (Wednesday)        
Review the corrections for the above assignments that were returned on Friday.
Assignment 4.4
Students must Redo the entire assignment if you score less than 60%

Assignment 4.6
students must attempt second page of assignment and show complete working according to the ACE Learning.


Start filing your work - due for checking in April.

Tuesday, March 14, 2017

S1-07 Mathematics Challenge! (via Khan Academy)

Hi all,

Hope you are enjoying your holiday.

I have set a challenge for the class. You task is to get as may points as possible for this challenge and you will reap the well deserved outcome for that (this is a surprise!).

Step 1
Accept the invitation to join Khan Academy. You have been assigned a class S1-07.

Step 2
Topics to focus on for the Challenge at the moment.

Embark on your Algebra challenge
there will be 3 components
Explore
Practice
Mission


Step 3
Start will the basic - you may watch the video and attempt the simple questions first.
Progress to the practice once you are more familiar.
 
Step 4
Every time you practice points will be awarded and I will be given a copy of your activities.
I will also be able to access topics that you find to be a challenge and assist you accordingly.
You may proceed or expedite your learning if you have mastered the topic eg find it very easy and would like to move to the next stage.




The Challenge Begins!


Tuesday, February 21, 2017

04 ALGEBRA - EXPANSION (REMOVE THAT BRACKETS!)

ALGEBRA (COLLABORATIVE PLATFORM SS1-07)

Group Work [15 minutes]
=====================================================================

Refer to the notes on page 10 - 15. 

Stage 1: Each member of the group will watch a video each. Spend about 5 minutes - you may fast forward or repeat viewing for understanding.

Stage 2: Share your findings from the video with your group mate. Have someone to scribe a summary and post in this padlet. As usual the comment format as follows:
Group number: 6 (eg)
Group members
summary

Stage 3: Refer to notes. complete the assigned questions (2 per group). In your posting remember to include the questions that you have attempted for easy reference.
Important to show the full working.

Focus on the technique of Expansion and Distributive Law. 

On the PADLET, post the solutions to the questions assigned to your group.


Made with Padlet


04 ALGEBRA - Expanding (Removing Brackets)

Algebra - Expanding

"Expanding" means  removing the ( ) ... but we have to do it the right way!
( ) are called "parentheses" or "brackets"
Whatever is inside the ( ) needs to be treated as a "package". 
So when multiplying: multiply by everything inside the "package".

source: Math is Fun

click HERE for more illustrations



Friday, February 17, 2017

HOMEWORK SUBMISSION 17 FEBRUARY


Things to do - Homework 
[the time given serves as a guide in your time management]


Activity: ALGEBRA; RATE, RATIO & % (17 February)
  • ALGEBRA
    • Part 1: Watch the videos in this BLOG (04 From Arithmetic to Algebra) [30 minutes]
      1. Addition & Subtraction
      2. Multiplication
      3. Division
      4. Simple Algebraic Manipulation
    • Part 2: Complete the following in your Math note [1 hour]
    • link to Mr Johari's e-note
      • 4.2.1 Algebraic Conventions
      • 4.3.1 Coefficient, Constant & Terms
      • 4.3.2 Addition and Subtraction of Like and Unlike Algebraic Terms
      • Four Operations of Like and Unlike Algebraic Terms involving Fractions
    • Part 3: ACE learning MCQ Quiz - 2017 (S1) Algebra - Simple Operations [1]
  • Update on Previous Tasks assigned [Percentage, Rate, Ratio]
    • Google Classroom
      • Percentage - 1 question (assigned last week due 18 Feb) [20 minutes]
      • Percentage, rate, ratio - 3 questions (due 21 Feb) [20 minutes]
    • ACE Learning
      • S1 (Self Directed Learning) SDL Quiz:1-6 - MCQ (1 week to complete)

Thursday, February 16, 2017

ALGEBRA

ALGEBRA (COLLABORATIVE PLATFORM S1-01 & S1-07)

STAGE 1: INDIVIDUAL Work [15 minutes]
=====================================================================

On the PADLET, post as many information based on the following key questions.

  1. What is Algebra?
  2. What is its origin?
  3. What are the applications of Algebra?


Made with Padlet





STAGE 2: TABLE GROUP Work [5 minutes]
=====================================================================


UNDERSTANDING NOMENCLATURE
Within your table find the meaning of Nomenclature in Mathematics.
Post as comment:
include Class. Group members
(2) Nomenclature: S1-0x name name name

Exercise 1
  1. What is the answer?
  2. How do you get the answer?
  3. Is there a better way to present the question / working?

Exercise 2: Expression versus Equation

Exercise 3: Parts of an equation
link: click HERE

STAGE 3: TABLE GROUP Work [5 minutes]
=====================================================================


Understanding 'Like' and 'Unlike' Terms
On the PADLET, post as many information based on the following key questions.

Post one example each (with explanation) for each of the following 
(1) Like terms 
(2) Unlike terms


Made with Padlet

                                        Note on extension of Operations for 'Like and 'Unlike' Terms
                                                                        link: click HERE


STAGE 4: INDIVIDUAL Work [15 minutes]
=====================================================================


Algebraic Operations
On the ACE Learning. Complete the following Quiz Individually.



STAGE 5: HOME Work [15 minutes]
=====================================================================


AlGEBRA - EXPANDING

click HERE for reference