Sunday, June 4, 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.

Wednesday, April 19, 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




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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







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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/

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ALGEBRA : ERROR ANALYSIS






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