Math Enrichment Centre in Bishan

Clash of Clans Math: Mortar Damage Per Hit

Today, we will use Math to calculate the Mortar Damage (Per Hit) for the popular game Clash of Clans!

Reference: http://clashofclans.wikia.com/wiki/Mortar

The formula needed is Damage per second (DPS) = Damage / Time.

Hence, Damage = DPS x Time!

The Mortar takes 5 seconds to fire. Hence, take the DPS reading from the game, and multiply it by 5, and you will get the actual damage done by the Mortar!

For instance, Mortar Level 1 has 4 DPS. Hence, each shot does 4×5=20 damage.

The full stats are listed here:

Level	Damage per Second	Damage per Shot
1	4	20
2	5	25
3	6	30
4	7	35
5	8	40
6	9	45
7	11	55
8	13	65

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics!
Subscribe to Blog via Email

Enter your email address to subscribe to this blog and receive notifications of new posts by email.

Email Address:

Kinematics

Distance = Speed x Time

Time = Distance / Speed

Speed = Distance / Time

Distance-time graph

Speed = gradient

Remember Formula Using Units E.g.

Units of speed = km/h

Units of gradient = km/h

Speed-time graph

Distance travelled = Area under graph

Acceleration = gradient

Remember Formula using Units: E.g.

Units of distance = m

Units of area under graph = (m/s)s=m

Units of acceleration = $m/s^2$

Units of gradient = (m/s)/s= $m/s^2$

Useful Formula:

Area of trapezium = 1/2 x height x (sum of parallel sides)

The formula rhymes! 🙂

100 Chicken and Rabbit Questions and Answers

Questions: (Answers Below)

Generated using: Chicken and Rabbit Question Generator

Q1) A farmer has 35 chickens and cows in total.
He counted 108 legs altogether.
How many chickens and how many cows are there?

Q2) A farmer has 45 ducks and horses in total.
He counted 140 legs altogether.
How many ducks and how many horses are there?

Q3) A farmer has 6 chickens and cows in total.
He counted 20 legs altogether.
How many chickens and how many cows are there?

Q4) A farmer has 24 chickens and horses in total.
He counted 70 legs altogether.
How many chickens and how many horses are there?

Q5) A farmer has 33 chickens and horses in total.
He counted 84 legs altogether.
How many chickens and how many horses are there?

Q6) A farmer has 23 ducks and rabbits in total.
He counted 86 legs altogether.
How many ducks and how many rabbits are there?

Q7) A farmer has 31 chickens and cows in total.
He counted 96 legs altogether.
How many chickens and how many cows are there?

Q8) A farmer has 26 ducks and cows in total.
He counted 98 legs altogether.
How many ducks and how many cows are there?

Q9) A farmer has 25 chickens and rabbits in total.
He counted 80 legs altogether.
How many chickens and how many rabbits are there?

Q10) A farmer has 29 ducks and horses in total.
He counted 84 legs altogether.
How many ducks and how many horses are there?

Q11) A farmer has 24 chickens and horses in total.
He counted 62 legs altogether.
How many chickens and how many horses are there?

Q12) A farmer has 28 ducks and cows in total.
He counted 76 legs altogether.
How many ducks and how many cows are there?

Q13) A farmer has 27 chickens and cows in total.
He counted 104 legs altogether.
How many chickens and how many cows are there?

Q14) A farmer has 34 chickens and cows in total.
He counted 112 legs altogether.
How many chickens and how many cows are there?

Q15) A farmer has 39 chickens and cows in total.
He counted 124 legs altogether.
How many chickens and how many cows are there?

Q16) A farmer has 35 ducks and rabbits in total.
He counted 84 legs altogether.
How many ducks and how many rabbits are there?

Q17) A farmer has 30 chickens and rabbits in total.
He counted 76 legs altogether.
How many chickens and how many rabbits are there?

Q18) A farmer has 33 chickens and rabbits in total.
He counted 96 legs altogether.
How many chickens and how many rabbits are there?

Q19) A farmer has 31 ducks and cows in total.
He counted 68 legs altogether.
How many ducks and how many cows are there?

Q20) A farmer has 30 ducks and cows in total.
He counted 106 legs altogether.
How many ducks and how many cows are there?

Q21) A farmer has 11 ducks and horses in total.
He counted 26 legs altogether.
How many ducks and how many horses are there?

Q22) A farmer has 31 chickens and cows in total.
He counted 120 legs altogether.
How many chickens and how many cows are there?

Q23) A farmer has 46 ducks and cows in total.
He counted 150 legs altogether.
How many ducks and how many cows are there?

Q24) A farmer has 21 chickens and horses in total.
He counted 66 legs altogether.
How many chickens and how many horses are there?

Q25) A farmer has 55 ducks and horses in total.
He counted 164 legs altogether.
How many ducks and how many horses are there?

Q26) A farmer has 44 ducks and rabbits in total.
He counted 120 legs altogether.
How many ducks and how many rabbits are there?

Q27) A farmer has 36 ducks and cows in total.
He counted 94 legs altogether.
How many ducks and how many cows are there?

Q28) A farmer has 20 chickens and rabbits in total.
He counted 48 legs altogether.
How many chickens and how many rabbits are there?

Q29) A farmer has 37 ducks and cows in total.
He counted 128 legs altogether.
How many ducks and how many cows are there?

Q30) A farmer has 15 ducks and rabbits in total.
He counted 34 legs altogether.
How many ducks and how many rabbits are there?

Q31) A farmer has 25 chickens and cows in total.
He counted 90 legs altogether.
How many chickens and how many cows are there?

Q32) A farmer has 12 ducks and rabbits in total.
He counted 46 legs altogether.
How many ducks and how many rabbits are there?

Q33) A farmer has 47 ducks and cows in total.
He counted 150 legs altogether.
How many ducks and how many cows are there?

Q34) A farmer has 20 ducks and cows in total.
He counted 54 legs altogether.
How many ducks and how many cows are there?

Q35) A farmer has 45 ducks and rabbits in total.
He counted 132 legs altogether.
How many ducks and how many rabbits are there?

Q36) A farmer has 18 ducks and horses in total.
He counted 48 legs altogether.
How many ducks and how many horses are there?

Q37) A farmer has 17 chickens and horses in total.
He counted 64 legs altogether.
How many chickens and how many horses are there?

Q38) A farmer has 48 ducks and rabbits in total.
He counted 154 legs altogether.
How many ducks and how many rabbits are there?

Q39) A farmer has 37 chickens and horses in total.
He counted 106 legs altogether.
How many chickens and how many horses are there?

Q40) A farmer has 23 ducks and horses in total.
He counted 46 legs altogether.
How many ducks and how many horses are there?

Q41) A farmer has 34 chickens and cows in total.
He counted 92 legs altogether.
How many chickens and how many cows are there?

Q42) A farmer has 20 chickens and rabbits in total.
He counted 58 legs altogether.
How many chickens and how many rabbits are there?

Q43) A farmer has 31 ducks and cows in total.
He counted 118 legs altogether.
How many ducks and how many cows are there?

Q44) A farmer has 26 ducks and rabbits in total.
He counted 96 legs altogether.
How many ducks and how many rabbits are there?

Q45) A farmer has 23 ducks and horses in total.
He counted 84 legs altogether.
How many ducks and how many horses are there?

Q46) A farmer has 34 chickens and horses in total.
He counted 80 legs altogether.
How many chickens and how many horses are there?

Q47) A farmer has 51 ducks and cows in total.
He counted 156 legs altogether.
How many ducks and how many cows are there?

Q48) A farmer has 18 chickens and horses in total.
He counted 50 legs altogether.
How many chickens and how many horses are there?

Q49) A farmer has 8 chickens and horses in total.
He counted 18 legs altogether.
How many chickens and how many horses are there?

Q50) A farmer has 45 ducks and cows in total.
He counted 124 legs altogether.
How many ducks and how many cows are there?

Q51) A farmer has 28 chickens and horses in total.
He counted 100 legs altogether.
How many chickens and how many horses are there?

Q52) A farmer has 21 ducks and cows in total.
He counted 66 legs altogether.
How many ducks and how many cows are there?

Q53) A farmer has 19 ducks and rabbits in total.
He counted 70 legs altogether.
How many ducks and how many rabbits are there?

Q54) A farmer has 45 ducks and cows in total.
He counted 132 legs altogether.
How many ducks and how many cows are there?

Q55) A farmer has 17 chickens and rabbits in total.
He counted 48 legs altogether.
How many chickens and how many rabbits are there?

Q56) A farmer has 28 chickens and cows in total.
He counted 86 legs altogether.
How many chickens and how many cows are there?

Q57) A farmer has 41 chickens and cows in total.
He counted 122 legs altogether.
How many chickens and how many cows are there?

Q58) A farmer has 21 ducks and rabbits in total.
He counted 68 legs altogether.
How many ducks and how many rabbits are there?

Q59) A farmer has 11 chickens and rabbits in total.
He counted 30 legs altogether.
How many chickens and how many rabbits are there?

Q60) A farmer has 29 chickens and horses in total.
He counted 116 legs altogether.
How many chickens and how many horses are there?

Q61) A farmer has 24 chickens and cows in total.
He counted 52 legs altogether.
How many chickens and how many cows are there?

Q62) A farmer has 39 chickens and rabbits in total.
He counted 130 legs altogether.
How many chickens and how many rabbits are there?

Q63) A farmer has 23 ducks and rabbits in total.
He counted 54 legs altogether.
How many ducks and how many rabbits are there?

Q64) A farmer has 30 ducks and cows in total.
He counted 104 legs altogether.
How many ducks and how many cows are there?

Q65) A farmer has 16 ducks and horses in total.
He counted 32 legs altogether.
How many ducks and how many horses are there?

Q66) A farmer has 19 chickens and rabbits in total.
He counted 50 legs altogether.
How many chickens and how many rabbits are there?

Q67) A farmer has 52 chickens and cows in total.
He counted 156 legs altogether.
How many chickens and how many cows are there?

Q68) A farmer has 33 chickens and rabbits in total.
He counted 108 legs altogether.
How many chickens and how many rabbits are there?

Q69) A farmer has 55 ducks and rabbits in total.
He counted 168 legs altogether.
How many ducks and how many rabbits are there?

Q70) A farmer has 38 chickens and horses in total.
He counted 112 legs altogether.
How many chickens and how many horses are there?

Q71) A farmer has 42 ducks and rabbits in total.
He counted 110 legs altogether.
How many ducks and how many rabbits are there?

Q72) A farmer has 26 ducks and horses in total.
He counted 60 legs altogether.
How many ducks and how many horses are there?

Q73) A farmer has 39 ducks and rabbits in total.
He counted 104 legs altogether.
How many ducks and how many rabbits are there?

Q74) A farmer has 36 chickens and rabbits in total.
He counted 86 legs altogether.
How many chickens and how many rabbits are there?

Q75) A farmer has 14 chickens and cows in total.
He counted 38 legs altogether.
How many chickens and how many cows are there?

Q76) A farmer has 37 chickens and cows in total.
He counted 128 legs altogether.
How many chickens and how many cows are there?

Q77) A farmer has 39 ducks and cows in total.
He counted 102 legs altogether.
How many ducks and how many cows are there?

Q78) A farmer has 54 ducks and cows in total.
He counted 158 legs altogether.
How many ducks and how many cows are there?

Q79) A farmer has 20 chickens and rabbits in total.
He counted 74 legs altogether.
How many chickens and how many rabbits are there?

Q80) A farmer has 47 ducks and rabbits in total.
He counted 134 legs altogether.
How many ducks and how many rabbits are there?

Q81) A farmer has 25 chickens and rabbits in total.
He counted 70 legs altogether.
How many chickens and how many rabbits are there?

Q82) A farmer has 42 ducks and horses in total.
He counted 136 legs altogether.
How many ducks and how many horses are there?

Q83) A farmer has 41 ducks and rabbits in total.
He counted 128 legs altogether.
How many ducks and how many rabbits are there?

Q84) A farmer has 10 ducks and cows in total.
He counted 20 legs altogether.
How many ducks and how many cows are there?

Q85) A farmer has 34 ducks and horses in total.
He counted 116 legs altogether.
How many ducks and how many horses are there?

Q86) A farmer has 28 chickens and cows in total.
He counted 78 legs altogether.
How many chickens and how many cows are there?

Q87) A farmer has 12 ducks and rabbits in total.
He counted 32 legs altogether.
How many ducks and how many rabbits are there?

Q88) A farmer has 26 chickens and horses in total.
He counted 82 legs altogether.
How many chickens and how many horses are there?

Q89) A farmer has 20 ducks and cows in total.
He counted 70 legs altogether.
How many ducks and how many cows are there?

Q90) A farmer has 42 ducks and cows in total.
He counted 128 legs altogether.
How many ducks and how many cows are there?

Q91) A farmer has 15 ducks and cows in total.
He counted 42 legs altogether.
How many ducks and how many cows are there?

Q92) A farmer has 46 chickens and horses in total.
He counted 132 legs altogether.
How many chickens and how many horses are there?

Q93) A farmer has 23 chickens and horses in total.
He counted 46 legs altogether.
How many chickens and how many horses are there?

Q94) A farmer has 27 ducks and cows in total.
He counted 98 legs altogether.
How many ducks and how many cows are there?

Q95) A farmer has 40 ducks and horses in total.
He counted 134 legs altogether.
How many ducks and how many horses are there?

Q96) A farmer has 35 chickens and horses in total.
He counted 122 legs altogether.
How many chickens and how many horses are there?

Q97) A farmer has 24 chickens and horses in total.
He counted 96 legs altogether.
How many chickens and how many horses are there?

Q98) A farmer has 22 ducks and rabbits in total.
He counted 80 legs altogether.
How many ducks and how many rabbits are there?

Q99) A farmer has 11 chickens and cows in total.
He counted 36 legs altogether.
How many chickens and how many cows are there?

Q100) A farmer has 26 chickens and horses in total.
He counted 60 legs altogether.
How many chickens and how many horses are there?

Answers:
Q1) chickens=16
cows=19

Q2) ducks=20
horses=25

Q3) chickens=2
cows=4

Q4) chickens=13
horses=11

Q5) chickens=24
horses=9

Q6) ducks=3
rabbits=20

Q7) chickens=14
cows=17

Q8) ducks=3
cows=23

Q9) chickens=10
rabbits=15

Q10) ducks=16
horses=13

Q11) chickens=17
horses=7

Q12) ducks=18
cows=10

Q13) chickens=2
cows=25

Q14) chickens=12
cows=22

Q15) chickens=16
cows=23

Q16) ducks=28
rabbits=7

Q17) chickens=22
rabbits=8

Q18) chickens=18
rabbits=15

Q19) ducks=28
cows=3

Q20) ducks=7
cows=23

Q21) ducks=9
horses=2

Q22) chickens=2
cows=29

Q23) ducks=17
cows=29

Q24) chickens=9
horses=12

Q25) ducks=28
horses=27

Q26) ducks=28
rabbits=16

Q27) ducks=25
cows=11

Q28) chickens=16
rabbits=4

Q29) ducks=10
cows=27

Q30) ducks=13
rabbits=2

Q31) chickens=5
cows=20

Q32) ducks=1
rabbits=11

Q33) ducks=19
cows=28

Q34) ducks=13
cows=7

Q35) ducks=24
rabbits=21

Q36) ducks=12
horses=6

Q37) chickens=2
horses=15

Q38) ducks=19
rabbits=29

Q39) chickens=21
horses=16

Q40) ducks=23
horses=0

Q41) chickens=22
cows=12

Q42) chickens=11
rabbits=9

Q43) ducks=3
cows=28

Q44) ducks=4
rabbits=22

Q45) ducks=4
horses=19

Q46) chickens=28
horses=6

Q47) ducks=24
cows=27

Q48) chickens=11
horses=7

Q49) chickens=7
horses=1

Q50) ducks=28
cows=17

Q51) chickens=6
horses=22

Q52) ducks=9
cows=12

Q53) ducks=3
rabbits=16

Q54) ducks=24
cows=21

Q55) chickens=10
rabbits=7

Q56) chickens=13
cows=15

Q57) chickens=21
cows=20

Q58) ducks=8
rabbits=13

Q59) chickens=7
rabbits=4

Q60) chickens=0
horses=29

Q61) chickens=22
cows=2

Q62) chickens=13
rabbits=26

Q63) ducks=19
rabbits=4

Q64) ducks=8
cows=22

Q65) ducks=16
horses=0

Q66) chickens=13
rabbits=6

Q67) chickens=26
cows=26

Q68) chickens=12
rabbits=21

Q69) ducks=26
rabbits=29

Q70) chickens=20
horses=18

Q71) ducks=29
rabbits=13

Q72) ducks=22
horses=4

Q73) ducks=26
rabbits=13

Q74) chickens=29
rabbits=7

Q75) chickens=9
cows=5

Q76) chickens=10
cows=27

Q77) ducks=27
cows=12

Q78) ducks=29
cows=25

Q79) chickens=3
rabbits=17

Q80) ducks=27
rabbits=20

Q81) chickens=15
rabbits=10

Q82) ducks=16
horses=26

Q83) ducks=18
rabbits=23

Q84) ducks=10
cows=0

Q85) ducks=10
horses=24

Q86) chickens=17
cows=11

Q87) ducks=8
rabbits=4

Q88) chickens=11
horses=15

Q89) ducks=5
cows=15

Q90) ducks=20
cows=22

Q91) ducks=9
cows=6

Q92) chickens=26
horses=20

Q93) chickens=23
horses=0

Q94) ducks=5
cows=22

Q95) ducks=13
horses=27

Q96) chickens=9
horses=26

Q97) chickens=0
horses=24

Q98) ducks=4
rabbits=18

Q99) chickens=4
cows=7

Q100) chickens=22
horses=4

The Power of Maths

Nice post about “The Power of Maths”

drdeblogs

My kids have invented a number called “one-finity”. It seems to be bigger than any other number they know but still finite, so they could theoretically have one-finity chocolate bars or one-finity birthday presents. It’s a word I hear frequently and I wonder if they’ll eventually brainwash me into using it.

Recently I’ve been thinking a lot about maths education. How can we improve students’ experience? Are the majority of students leaving with maths skills relevant to their future plans? Are we explaining why the techniques we teach are useful? The list goes on.

Despite recent suggestions in the media, there is one thing I have never questioned: if maths is worth teaching to everyone. I believe teaching maths is as essential as teaching a child to read. Whether we are buying groceries, choosing medical treatment, taking out a pension, reading a news article or refitting a kitchen, our lives…

View original post 129 more words

Quantum Groups

The subject of quantum groups is a fascinating and new area of mathematics.

The term “quantum groups” was first introduced by Vladimir Drinfeld in the 1980s. There is no formal definition for the term “quantum groups”, but in general it stands for certain special Hopf algebras.
In some of the literature, a quantum group is defined as a noncommutative and noncocommutative Hopf algebra.
Quantum groups have close connections with many areas of mathematics and physics.

A starting approach is to study the theory of quantum groups, and related topics like Hopf algebras. An example can be as follows.
Chapter 1 introduces the definition of Hopf algebras and its properties.
Chapter 2 focuses on the theory of quantum groups. Chapter 3 includes examples of quantum groups, with some examples from physics.
The main reference for the project can be Quantum Groups by C. Kassel ([2]).

For a project, one can refer to Part One of the book, from Chapter I to VII. Before researching on quantum groups, one can also study Hopf algebras, including viewing online lectures by F. Ardila ([3]).
A good project topic is to study and write a summary and a brief introduction to the vast subject of quantum groups.

Ampere’s Law Project

In this project, we investigate Ampere’s Law by considering a 2D problem
with the axis of the wire perpendicular to the plane. We calculate the magnetic potential $A_z$ for a certain current density, and generate and plot the magnetic field.
Later, we generalize the approach to two wires with parallel currents and
antiparallel currents.
Finally, we adapt the code to plot for three wires, wire of other shapes
( $\pi$ shape), and a 5×5 grid of 25 wires.
For the 5×5 grid of wires, we consider a case whereby each wire is
switched on one at a time, in a certain pattern. The objective is to observe
the interactions of magnetic fields.

Primes and prime factorisation

Prime numbers are numbers that only have two factors, one and itself.

Examples of prime numbers are 2, 3, 5, 7, 11, 13, ….

Note: 1 is NOT a Prime number!!

Perfect squares and perfect cubes

For a perfect square’s prime factorisation, each factor is to the power of a multiple of 2.

For a perfect cube’s prime factorisation, each factor is to the power of a multiple of 3.

HCF & LCM

HCF, or Highest Common Factor, is the greatest common factor between two numbers.

LCM, or Lowest Common Multiple, is the smallest common multiple between two numbers.

Laws of Indices

Check out: Indices and Logarithm Laws

PSLE Exam Dates

Source: http://www.seab.gov.sg/examCalendar.html

Please double check with the above source for confirmation!

2014 PSLE EXAMINATION CALENDAR (TENTATIVE) Registration

Mon, 10 March – Fri, 28 March 2014

Oral Examination

Thu, 14 August – Fri, 15 August 2014

Listening Comprehension

Fri, 19 September 2014

Written Examination

Thu, 25 September – Wed, 01 October 2014

Marking Exercise

Tue, 14 October – Fri, 17 October 2014

O Level Exam Dates

Source: http://www.seab.gov.sg/examCalendar.html

Please double-check with the above source for confirmation!

(TENTATIVE) Registration

School Candidates

Mon, 24 February – Fri, 7 March

Private Candidates

Mon, 10 March – Tue, 25 March

Oral Examination

Thu, 14 August – Thu, 28 August

CL / ML / TL

Fri, 4 July – Fri, 18 July

CL / ML (Special Programme)

Mon, 11 August – Tue, 12 August

Arabic as 3rd Language / Bahasa

Indonesia as 3rd Language

Mon, 11 August – Wed, 13 August

CLB / MLB / TLB (Mid-Year)

Thu, 3 July

CLB / MLB / TLB (Year-End)

Fri, 26 September

Foreign Languages

Tue, 30 September – Tue, 7 October

Listening Comprehension (LC)

CL / ML / TL

Tue, 22 July

CLB / MLB / TLB (Mid-Year)

Tue, 22 July

Practical Examination

Science

Tue, 7 October – Thu, 16 October

Music Performing

Tue, 23 September – Thu, 25 September

Written Examination

Mid-Year CL/ML/TL Exam

Mon, 2 June

Mid-Year CLB/MLB/TLB Exam

Tue, 3 June

End of Year Exam

Mon, 20 October – Fri, 14 November

Design and Technology tuition

For other subjects besides Mathematics, request for a tutor at Startutor! Startutor is Singapore’s most popular online agency, providing tutors to your home. There are no extra costs for making a request. (Website: http://startutor.sg/request,wwcsmt)

Startutor is suitable for English Tuition, Social Studies Tuition, Geography Tuition, Physics Tuition, Chemistry Tuition, Biology Tuition, Chinese Tuition, Economics Tuition and more!

General Paper (GP) Tuition

Economics Tuition

Chinese Tuition 华文补习

Biology Tuition

Chemistry Tuition

Physics Tuition

Geography Tuition

English Tuition

Differentiation Rules

Today, we will recap the four basic rules of Differentiation:

Differentiating Powers of x

$\displaystyle\frac{d}{dx}x^n=nx^{n-1}$

(Power comes down, and the remaining power reduced by 1)

Chain Rule (i.e. times differentiate inside the bracket)
Product Rule

$\displaystyle\frac{d}{dx}(uv)=u\frac{dv}{dx}+v\frac{du}{dx}$

(Keep the first term X differentiate the second, PLUS keep the second term X differentiate the first)

Quotient Rule

$\displaystyle\frac{d}{dx}(\frac{u}{v})=\frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}$

(Keep the bottom term differentiate the top MINUS keep the top differentiate the bottom, whole thing over $v^2$ )

Maths- Tessellations, rotational symmetry and art

schooledwa

This week the students have been learning a bit about geometric properties. We look at what symmetrical means and where we find it in real life. The students found out how to find lines of symmetry and what it means to have rotational symmetry. By looking at the work of MC Escher the students began making their own tessellating shape patterns using regular shapes and creating their own jigsaw pieces. The jigsaw pieces were made by drawing a random squiggle on one side of a square piece of card and then sticking it to the vertically opposite side. I hope you agree the work they have produced is pretty amazing!

View original post

History Included part 1

To Accumulate a Rate --- Integrate!

Doesn’t it seem like we should teach math with it’s history attached. Wouldn’t adding a historical perspective while teaching and learning about Mathematics help bring the concepts to life? Sometimes it’s hard to know the exact approach to include it and sometimes it’s hard because we are not very familiar with the history. And let’s face it, textbooks do a horrible job including the history, occasionally attaching mere tidbits here and there that usually are superficially related to the content on the surrounding pages.
I’m going to read, “A History of Mathematics,” by Carl Boyer to help me learn more of the history and get some perspective on including it in lessons. Hopefully I’ll come up with some great ideas about embedding historical motivation for the discovery of Mathematics into my teaching.
More to come….

View original post

Networked Blogs

NetworkedBlogs

Blog:

Maths Tuition

Topics:

Singapore Math, Maths Tuition, Math Tuition

Follow my blog

The Beauty of Math

For your students’ sake: Don’t stop being a learner

Mr. Shauver - Learner Educator

Yesterday, we designed an Algebra II lesson using 3D modeling to derive the factored formula for difference of cubes. As we began to finish up, Sheila (@mrssheilaorr), the math teacher sitting beside me made a passing reference to being frustrated trying to prove the sum of cubes formula. Me, being a geometry teacher by trade decided to give it a try perhaps hoping to offer a fresh perspective. I mean, I was curious. It looked like this:

2014-02-20 13.26.00

On the surface, it didn’t seem unapproachable. I quickly became frustrated as well. Most frustrating was the mutual feeling that we were so stinkin’ close to cracking the missing piece. Finally, Luann, a math teaching veteran sat down beside us, commented on her consistently getting stuck in the same spot we were stuck and then, as the three of us talked about it, the final piece fell in and it all made sense (it’s…

View original post 467 more words

Threes: A Simple and Addictive Grid-based Math Puzzle for iOS

TechGrade

Let’s be honest. One of the most dangerous things about trying new games every now and then on the iPhone or other iOS devices is that you risk finding something cheap and addictive that can seriously take away from your free time. And the fact that in most cases these games can be played using just one hand makes them even more fun.

View original post 397 more words

The Math Song (The Lazy Song-Bruno Mars) Parody

JC Cut Off Points (Latest)

Joint Admissions Exercise 2014

Source: http://nanyangjc.org/index.php/joint-admissions-exercise-2014/

Cut Off & Bonus Points

Applicants applying to enter NYJC must meet the entry criteria based on the L1R5 aggregate.For JAE, this aggregate is calculated from results obtained in the previous year’s Singapore-Cambridge GCE ‘O’ Level Examinations.Please note that the entry criteria changes from year to year and the following table should only be used as a guide.

MINIMUM L1R5 AGGREGATE [after bonus points deduction]

FACULTY	ARTS	SCIENCE
JAE 2013	8	8

Source: http://www.ajc.edu.sg/admission/admission_jae.html

AJC Cut Off Points:

FACULTY	ARTS	SCIENCE
JAE 2013	8	10

Free Resources for Higher Math

GratisLearning

InteractiveMathematics There is something for those who are learning everything from integers to higher (gulp) calculus here. There is also the option to download a variety of graph paper from the site as well. In addition to the examples, answers and explanations of a wide variety of math levels, there are also some games thrown in, just in case you didn’t get enough math fun in for the day. I love that this site, and all of the other free math sites exist, I just wish all of this free help had been around in my day…(sighs)

WolframMathWorld While this site is primarily geared toward higher math, it’s an invaluable resource to have “at the ready” for when your student (or you) venture into this level of mathematics. A worthy site to keep on hand!

View original post

The Study of Change

Mathematically Inclined

Calculus is the mathematical study of change. The way that we examine what happens at one point, and how things change when we examine the same concept somewhere else. Today we’re going to get a basic understanding of what Calculus is, what we can use it for and why it’s so scary.

According to Dr. Derek Martinez, a Math professor at UNM, Calculus classes have two purposes. The explicit purpose is to teach students how to do the math. The implicit purpose is to make engineering and medical students mentally stronger and intellectually prepared for future careers.

Many a student has made it through Algebra and Trigonometry classes only to be cut down to size by the dreaded Calc 1 or worse, Calc 2. When you meet a surprisingly smart Psych major, or a meticulously picky Foreign Languages major, that probably means they decided at some point that integrals are…

View original post 354 more words

Calculating Derivatives

100,000 views on WordPress

We have reached 100,000 views on our WordPress.com site: http://mathtuition88.com

Sincere thanks to all the viewers and supporters! We will continue to post information about Mathematics, Education and General Knowledge on this website.

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics!

Subscribe to Blog via Email

Enter your email address to subscribe to this blog and receive notifications of new posts by email.

Email Address:

If the World was a Village

Probability Formula

Formulae for Probability

Works for All Cases:

P(A∪B)=P(A)+P(B)-P(A∩B)
P(A|B)= $\displaystyle\frac{P(A\cap B)}{P(B)}$
P(A’)=1-P(A)

For Mutually Exclusive Events Only:

P(A∩B)=0

For Independent Events Only:

P(A∩B)=P(A) P(B)
P(A|B)=P(A)
P(B|A)=P(B)
P(A’∩B)=P(A’) P(B)
P(A∩B’)=P(A) P(B’)
P(A’∩B’)=P(A’) P(B’)

This Week: STEM Subjects and Possibilities

Snow White

STEM subjects are at the forefront of the media’s focus on education. What are they? It’s simple; Science, Technology, Engineering, and Mathematics. Why are they so important? Well, they’re the future of our world. These fields are making rapid advancements and needing more brain power to do so. (Which they’d have if not for the sexism that exists within these fields perpetuating the idea that women are not adept in such studies.) Besides that though, there is a need to generate interest in STEM subjects that has been greatly diminished by the social norm of finding them ‘uncool.’

There is, of course, great reward in entering these fields. Especially engineering, with some starting salaries higher than the median salary of my future career (clinical psychology). As shown by the chart I’ve attached, there is a much higher percentage of people earning more than those at an…

View original post 24 more words

NUS Past Year Paper

This is a list of websites related to NUS Past Year Paper:

1) Official NUS Past Year Exam Paper website: http://libguides.nus.edu.sg/content.php?pid=227106&sid=1896904

2) NUS Physics Society Past Year Paper: http://physics.nus.edu.sg/~physoc/pyp.html

3) NUS Maths Society Past Year Paper: http://www.nusmathsociety.org/pyp.html

COE Quota: Math Formula

Applications of Math in Real Life: COE Quota

Source: http://en.wikipedia.org/wiki/Certificate_of_Entitlement

The Formula for COE Quota is:

$\begin{align} (\text{Total COE Quota})_{qy} = &g.(\text{Motor vehicle population})_{y-1} \\ &+ (\text{Projected de-registrations})_{y} \\&+ (\text{Unallocated quota})_{qy-1} \end{align}$

Quote: In the formula above, the subscript $y$ denotes calendar year and the subscript $qy$ denotes quota year (May to April). Initially, projected deregistrations for (calendar) year $y$ were simply taken to be equal to actual deregistrations in $y-1$ but from quota year 1999-2000 onwards, a projected number of deregistrations has been used.

Each year, the quota is set to allow for a targeted $g$ percent growth in the total motor vehicle population, plus additional quota licenses to cover the number of motor vehicles that will be deregistered during the (calendar) year, plus any unallocated quota licenses from the previous quota year.

Technorati Blog Claim

HFHA4C8ZTVTE

Logic puzzle: Which octopus is telling the truth?

Source: http://math.stackexchange.com/questions/677495/logic-puzzle-which-octopus-is-telling-the-truth?newsletter=1&nlcode=97485%7cd140

King Octopus has servants with six, seven, or eight legs. The servants with seven legs always lie, but the servants with either six or eight legs always tell the truth.

One day, four servants met. The blue one says, “Altogether, we have 28 legs.” The green one says, “Altogether, we have 27 legs.” The yellow one says, “Altogether, we have 26 legs.” The red one says, “Altogether, we have 25 legs.”

What is the colour of the servant who tells the truth?

Read the discussion at: http://math.stackexchange.com/questions/677495/logic-puzzle-which-octopus-is-telling-the-truth?newsletter=1&nlcode=97485%7cd140

Snooze button good or bad? (Education, Productivity Tip)

The snooze button – one of life’s luxuries. But is it really helping you out, or making you more tired?

After 400 years, mathematicians find a new class of shapes

Akshat Rathi

The works of the Greek polymath Plato have kept people busy for millennia. Mathematicians have long pondered Platonic solids, a collection of geometric forms that are highly regular and are frequently found in nature.

Platonic solids are generically termed equilateral convex polyhedra. In the millennia since Plato’s time, only two other collections of equilateral convex polyhedra have been found: Archimedean solids (including the truncated icosahedron) and Kepler solids (including rhombic polyhedra). Nearly 400 years after the last class was described, mathematicians claim that they may have now identified a new, fourth class, which they call Goldberg polyhedra. In the process of making this discovery, they think they’ve demonstrated that an infinite number of these solids could exist.

Platonic love for geometry

Equilateral convex polyhedra share a set of characteristics. First, each of the sides of the polyhedra needs to be the same length. Second, the shape must be completely solid—that…

View original post 783 more words

Online Math Resource Treasures

coaches corner blog

In staying with the same vein as last week, we wanted to share a few new math resources appropriate for middle and high school level.

1. Symbaloo – This is a bookmarking website that has real potential. We really like how visual it is! You can create a symbaloo for your students or parents of students of tutorial sites, virtual manipulative sites, and textbook sites. Or, you can create a symbaloo for your own organization of sites you frequent regularly. They can be organized on the board by color, icon, and location. It takes very little time to create. The math half of us started one called CCSS Math – Parvankin. It is full of math sites that are often referenced. And, not to be outdone, the Literacy half of us started one called CCSS Literacy – Elliot including Literacy Resources featured last week here, as well…

View original post 251 more words

5 Common Myths about Dyscalculia

Dr. Dan Pezzulo

Myth #1: All children with dyscalculia have the same difficulties with math.

Fact:Dyscalculia actually refers to a wide range of math issues, so your child’s trouble spots may be different from another child’s. For example, some kids with dyscalculia have a hard time with basic number concepts. Others have difficulty with the kind of visual-spatial thinking that’s needed for geometry. What most kids with dyscalculia have in common, though, is challenges remembering basic math facts and completing math problems.

Myth #2: Dyscalculia is another name for math anxiety.

Fact: Dyscalculia and math anxiety are not the same thing. It’s understandable that people confuse the two, though. It’s common for kids who struggle with math—like kids with dyscalculia—to become anxious about doing math homework or going to math class. Learn more about key differences between dyscalculia and math anxiety.

Myth #3: Dyscalculia is basically dyslexia for math.

Fact: Although dyscalculia…

View original post 180 more words

cut-the-knot.org

Heron’s Formula

Math Symbols HTML

How to Type Math Symbols using HTML, Unicode, or ASCII

Check out the following two websites to type Math Symbols using HTML. Sometimes, it is more convenient to type Math Symbols using HTML rather than $\LaTeX$ .

$\LaTeX$ on WordPress looks nice on the screen, but when printed the resolution can drop, and result in a blurred look.

Introduction to Apollonian circle packings (tangent)

Baking and Math

This is not my area of research at all, but I think it’s super cool. The first time I heard of Apollonian circle packings was at that conference I went to in Marseille last month, during the first lecture of Hee Oh’s minicourse. So here’s a quick write up background of the first third of that lecture.

These packings and all this theory come from one dude, Apollonius of Perga, who wrote a bunch of math books back around 200 BC. Literally this math has been around for 2200 years. Here’s a paper submitted a month ago which is a generalization of Apollonius’s problem from circles to spheres. Math is so amazing! We live in history!

To understand the problem, we’ll have to do a quick geometry brush up. We say that two shapes or curves or lines in the plane are tangent if they touch at exactly…

View original post 1,181 more words

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics! Subscribe to Blog via Email Enter your email address to subscribe to this blog and receive notifications of new posts by email. Email Address: Subscribe

Subscribe to Blog via Email

Distance-time graph

Speed-time graph

Questions: (Answers Below)

Perfect squares and perfect cubes

HCF & LCM

Laws of Indices

Joint Admissions Exercise 2014

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics! Subscribe to Blog via Email Enter your email address to subscribe to this blog and receive notifications of new posts by email. Email Address: Subscribe

Subscribe to Blog via Email

Formulae for Probability

Works for All Cases:

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A|B)=

P(A’)=1-P(A)

For Mutually Exclusive Events Only:

P(A∩B)=0

For Independent Events Only:

P(A∩B)=P(A) P(B)

P(A|B)=P(A)

P(B|A)=P(B)

P(A’∩B)=P(A’) P(B)

P(A∩B’)=P(A) P(B’)

P(A’∩B’)=P(A’) P(B’)

Platonic love for geometry

How to Type Math Symbols using HTML, Unicode, or ASCII

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics!
Subscribe to Blog via Email

Enter your email address to subscribe to this blog and receive notifications of new posts by email.

Email Address:

Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics!

Subscribe to Blog via Email

Enter your email address to subscribe to this blog and receive notifications of new posts by email.

Email Address:

P(A|B)= $\displaystyle\frac{P(A\cap B)}{P(B)}$