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Primary 5
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Number and Algebra
Hi how do we get answer to part 3?
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5
Lucie Ng
Square of Pattern no. = the no. of shaded squares; No. of unshaded squares = (Pattern no. + 2) squared minus the no. of shaded squares (i.e. Square of Pattern no.)
6 years ago
Soo Vei Li
First, from your child's work, we can observe that the number of unshaded squares are multiples of 4... Pattern 1: 4x2; Pattern 2: 4x3; Pattern 3: 4x4. Next, we see the number that changes is always the Pattern number add 1. So, 4x?=196; ?=49. Therefore Pattern number is (49-1) which 48. Answer: Pattern 48 will have 196 unshaded squares.
6 years ago
Wai Fong
Thank you
6 years ago
KH Puah
I'm wrong. I have Pattern 48 for (c)
6 years ago
Wai Fong
Actually the answer given is 48 too
6 years ago
Judy Low
Asked 9 years ago
SG
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Primary 4
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Number and Algebra
P4 question. Help, please. Thanks!
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2
Lucie Ng
6 years ago
Judy Low
Thanks again, Lucie!
6 years ago
Judy Low
Asked 9 years ago
SG
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Primary 4
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Number and Algebra
Any other method to do other than guess and check?
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KH Puah
Diff between K and N seashells = 1071-826 = 245
Everyday N collects =(15-8) = 7 seashells more than K
In order for N to narrow the lead and then have the same number of seashells as K, the numbers of days required = 245/7 = 35 days
6 years ago
Lucie Ng
Ans. is 35. initial difference between K & N = 1071 - 826 = 245. Thereafter, for every 8 seashells tt K collects, N collects 15. 15 - 8 = 7. This means tt N narrows the initial gap between N & K by 7 each day. So, to catch up with K (i.e. hv equal no. of seashells as K), it'll take 245 รท 7 = 35 days (Ans.)
6 years ago
Judy Low
Thanks! Is there any way to make him visualize?
6 years ago
Jayasitra Tangavellu
How abt in models format?
6 years ago
Kho Tek Hong
Students may use the heuristic: "use small numbers" to help them visualize the problem. Say at first K and N have 20 and 10 seashells respectively. Ask, "how many seashells should they collect so that they will have the same number of seashells?" (N should collect 10 more seashells than K.)
For example, K collects 5 seashells and N collects 15 seashells.
When returning to the original problem, students will realize that N collects 7 more seashells than K each day. Ask, "how many days will it take to make N=K?" ( [] x7 = Difference)
Therefore, Number of days = Difference / 7.
.
6 years ago
Jayasitra Tangavellu
Thank u fr the clear explanation
6 years ago
Jayasitra Tangavellu
Can this problem sum be done in model method or wts the best method fr the kids to understand
6 years ago
Jayasitra Tangavellu
Has anyone here have any recommendations to a very good assessment book on models n problem sums...tks guys
6 years ago
Kho Tek Hong
Students may draw the comparison model to help them visualize that K is 245 more than N. Ask, "how can the two bars be made equal by increasing both K and N?" (N collects more seashells than K.)
Ask, "how many more seashells than K did N collect?" (N collected 7 seashells than K each day.)
Then ask, "after how many days would N collect a total of 245 seashells than K?" (245/7=35).
In this manner the model helps students figure out the answer.
6 years ago
Jayasitra Tangavellu
Thk u mr kho..
Do u hve any recommendation fr any assessmnt books based on models n problem sums
6 years ago
Kho Tek Hong
Yueh Mei's book should be helpful.
6 years ago
Stella Lee
where can we get that book pls
6 years ago
Kho Tek Hong
You should be able to get it from Popular.
6 years ago
Jayasitra Tangavellu
Well i suppose popular might hve it
6 years ago
Jayasitra Tangavellu
Mr kho,,is it really very hard for students to grasp all these problem sums??or is thr a much easier way for them
6 years ago
Kho Tek Hong
Students must develop confidence in solving simple problems, then they would try the harder ones. They have different abilities, so we should not be too eager to expect them to solve problems that are appropriate for their level. They should have opportunities to talk about their understanding and reasoning in the process of solving problems. They learn from the process, not from solutions. It is ok if they cannot solve those super challenging or unreasonable problems in the exams, especially those that are far beyond their level.
6 years ago
Jayasitra Tangavellu
But i must agree that our maths problems r really hard to handle
6 years ago
Kho Tek Hong
Don't push our children too hard if they are not ready to score A*. Let them know that certain questions in the exams are beyond them. They should do their best to do whatever they can. Leave out those problems that are really hard to handle.
6 years ago
Judy Low
Asked 9 years ago
SG
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Primary 4
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Number and Algebra
P4 question. Help, pls. Thanks!
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7
Lucie Ng
No. of students who study only English โ 140 - 60 = 80. No. of students who study only Math โ 160 - 60 = 100. No. of students who study both English & Math โ 60. Therefore, total students in the tuition centre = 80 + 100 + 60 = 240 (Ans.)
6 years ago
Judy Low
Thank you, Lucie. :)
6 years ago
Judy Low
I'll show my boy in this manner. Thanks!
6 years ago
Lucie Ng
This question can also be explained using Venn diagram, if yr child understands how Venn diagram works :)
6 years ago
Judy Low
I'll show him this and see which one he understands better. Thanks!