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]





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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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Sunday, April 2, 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