Saturday, January 30, 2016

Making Mathematics Real - and interesting

As Jaadoo gets into a phase where mathematics begins to become a very important piece of school life , I have been wondering what I could do to make it interesting for him and for other children like him. 

Can i make something that links mathematics to the real world ? can I create something which allows the child to link mathematics to his day-to-day life ? can I do something which encourages the child to grow his interest in this beautiful discipline ? 

What can be done to make mathematics less of a problem subject and more of a fun subject ? 

As a first step, I've decided to create some situations from real life which involve the use of mathematics and which do not appear to be a drag on the child ( certainly not like  a problem in a text book ) 

Some of the questions from that are written below . I would welcome your ifeedback and similar such questions to build a repertoire of such day to day life situations which can facilitate and enhance the understanding of this beautiful subject of mathematics. 


Q1)  Every morning , at Jaadoo s house, three alarms go off at 7 AM. The Nokia alarm , the  iPhone alarm and the Blackberry alarm. The snooze time for the nokia alarm is three-minutes, the snooze time for the iPhone alarm is five minutes,  and the snooze time for the Blackberry alarm is seven minutes. 
After 7 AM when will it all the three alarms go off together again assuming they are continuously snoozed ? 



Q2 )  draw a triangle with a scale and compass having sides of 3 cm 4 cm 5 cm. 
After you have finished drawing determine the square of each of the sides and check what is the relationship between them. Can this take you to ancient Greece ?



Q3 ) in an El  classico match between real Madrid and Barcelona , the real Madrid team is playing very rough. Messi and Neymar are both in the starting line up. 
Neymar is injured after 5/18 th of the total match and Messi is injured after 11/18 th of the total match. 
How many minutes did Messi and Neymar play in all in this match and how many of them were together ? 


Q4) Jaadoo puts Rs 23 in his piggybank every day starting from his birthday in 2014 ( the reason for this is that Jaadoo s birthday is on the 23rd of March ). How much money has he collected till the day of Harry Potter's birthday in 2014. How much will he collect till Superman s next birthday ? 


Q5) Jaadoo had Rs.3600 in his piggybank . his mama and papa want to borrow money from him for the uber cab as they have no cash in their wallets and only have cards.  His mamma  borrows 1/6 of the money and his Papa borrows double of what his mama borrowed . how much money is left with in his piggybank ? 


Q6) Jaadoo s school collects Rs.20 lakhs as total fees every month from its 500 students. If the number of students becomes 575, how much money every month will it collect in fees ? How much will be the collection of fees in a quarter ? 

Q7) draw a football field of length  80 m and width 40 m clearly showing the penalty area with distance of 20 m from the goal-line. At what angle would a corner need to be taken so that the kick directly sends the ball into the goal

Q8) draw an isosceles triangle in which The unequal side  is 6 cm and is one and half times of each equal side. What is the relation of the sum of its angles to the duration of a football match. 

Q9) draw a triangle in which one angle is 40° and the other angle is double of it. 

Q 10 ) Jaadoo Has 22 TinTin books at home. He also has 18 asterix books, 50 Amar Chitra katha s and 10 chacha chaudhuri s. 
What fraction of the total books are asterix books ? 
Then, he is gifted 6 Harry Potter books. What fraction of the total are TinTin books ?