Tan Weiqiang
Asked 9 years ago

SG chevron_right Primary 6 chevron_right Number and Algebra

Here is the question on the topic of Volume that involves 2 taps. One filling it up and the other draining water out.The key is both taps are turned on at the same time and understanding that there will be a net of 2 litres remaining in the tank after a minute is very important.Without an understanding of this concept, a student will not be likely to be able to solve the problem. Hope this helps!

Replies 0

Tan Weiqiang
Asked 9 years ago

SG chevron_right Primary 6 chevron_right Number and Algebra

A friend came up to me with this question. I decided to make a video on how to solve it for sharing with more people.The ratio of Harry's cards to William's cards was 3:4. After Harry bought 12 cards and William lost 24 cards, the ratio became 3:2. Find the total number of cards Harry and William had altogether at first.Here's the solution to this question.

Replies 0

Pauline Vong Nyit Li
Asked 9 years ago

SG chevron_right Primary 6 chevron_right Statistics

Hi, pls assist. Thank you !

Replies 8
Kai Meng

Between the two "if", the difference in total is 58-34=24 while the difference in average is 4-1=3. So the number if numbers in either case is 24/3=8. Taking away the additional number in either case, there were 7 numbers written.

6 years ago
Pauline Vong Nyit Li

Wa... Chim le !

6 years ago
Kai Meng

Difference in average x number of units = Difference in total.

6 years ago
Choy Ban Heng

This question can be solved by different methods. Here, I assume that the student is a primary school student. One way to look at this problem is to use the idea of supposition and the notion of an average: Here, it is helpful to think of average of a set of numbers as distributing the differences between each number in a way that makes each number in the set equal. When Jamil added 58 instead of 34 to the original set of numbers, the average increased by 3. Therefore, the difference between 58 and 34, which is 24, must be equally distributed amongst the new set of numbers (1 more than the original set). Hence, there are 24/3 = 8 numbers in the new set. Hence, he wrote 8 - 1 = 7 numbers on the piece of paper originally.

6 years ago
Pauline Vong Nyit Li

Thank you guys.. I really need to digest this slowly :)

6 years ago
Choy Ban Heng

This is a way to represent the situation using the Model method. Pauline Vong Nyit Li, see if this makes more sense to you. :)

6 years ago
Pauline Vong Nyit Li

Thanks Choy, I really appreciate you took time and effort to draw for me...

6 years ago
Yaneris Michel

Don't forget to follow Marshall Cavendish Education U.S. for updates on teaching strategies in Singapore Math, education resources, trivia and more.

6 years ago

Serene Koon
Asked 9 years ago

SG chevron_right Primary 6 chevron_right Fractions

Pls help Pri 6 math. Thanks

Replies 7
Eugene Ng Ming Teck

6 years ago
Eugene Ng Ming Teck

This uses parts and units to solve. I tend to soften the algebraic expressions by using models to help pupils understand. The first part is getting the "equations" The second is making one part of the equation the same, in this case 12p Then use model to understand the equation and make comparison Lastly to solve P and U

6 years ago
Raymond Ng

6 years ago
Eugene Ng Ming Teck

Thanks Raymond. I learn something new

6 years ago
Raymond Ng

☺ For P6, I usually offer them 2 ways: modeling/heuristics methods or algebra. For algebra, if they're actually solving for the section when calculator is allowed, actually, the student can feed the 2 linear eqns & get the answers directly from the calculator even before they solve. What remains is just doing what the secondary schools call "elimination method" or what the primary schools call "assumption method". Not every student is comfortable with algebra though.

6 years ago
Raymond Ng

In this screen, my x is your p, my y is your u ☺

6 years ago
Kai Meng

An alternative model.

6 years ago

Adrian Ng
Asked 9 years ago

SG chevron_right Primary 5 chevron_right Number and Algebra

Making it visual...

Replies 0

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