Skip to main content

The Unbearable and Unproductive Number Bonds

I was going through my son's maths homework today and the number bonds thingy came back again in counting money.

I find number bonds to be rather unbearable and unproductive. It is like you have to do additional steps to get the answer when a simple subtraction will provide the answer. Wouldn't the method below be more efficient?

To explain the number bonds method of subtracting money, I had to explain to my son why - x - is positive and - x + is a negative - this is something out of concept for a primary 3.


Take the number bond above as example.


From the number bond, the equation looks like this 22.65+3 -(3+0.25), if you break open the brackets and you have explain multiplication of positive and negative to a primary 3 kid. As such,  I had to stick to a simple routine to get him to under how this works.

You start first by taking the subtrahend ($3.25) and break it into two - one part whole dollar ($3) and the other part cents  ($0.25).

From the minuend ($25.65), you break it into two but the right bond should be the same as whole dollar from the subtrahend ($3).

Then you take the left bond of the minuend ($22.65) and you minus the right bond of the subtrahend ($0.25) to get the answer - $22.65-$0.25=$22.40.

There were some questions that required my son to break it into number bonds and yet do the tradition subtraction method to get the answer.

Can somebody explain to me the benefit of using number bonds?


Comments

Popular posts from this blog

Primary 3 Level 2 Maths Money Problem Sum

Below is a money problem sum for Primary 3. It isn't that difficult to solve when you under the basic approach. Mr Lim went to watch "Disney on Ice" with his two sons. He paid $147.50 for all the tickets. A child ticket cost $30.50 less than an adult ticket. How much does a child ticket cost? Child tickets are of equal parts and the adult ticket is $30.50 more than 1 child ticket. So to make the Adult ticket to be of equal parts with the Child ticket, you have to take away $30.50 from the Adult ticket. If you do this, you also have take away $30.50 from $147.50. $147.50 - $30.50 = $117 All of the 3 parts are now equal and the sum of the 3 parts is $117. So you just take $117 divide by 3. $117 ÷ 3 = $39 As such, each child ticket is worth $39. There could be some variations where question ask for the total of two child ticket which you take $39 x 2 = $78 or your child will be asked the price of the adult ticket which is $39 + $30.50 = $69.50.

Chicken And Rabbit Maths Question

They call it the Chicken and Rabbit maths question. The question will start with the total number of chicken and rabbit, and the total number of legs. With this, you be asked how many chicken there are in the farm. The chicken and rabbit can be replace with any two and four legged animal respectively. Example of question - Hussain saw a total of 23 sheep and ducks in a farm. If there are total of 82 legs, how many ducks did he see? Many parents will look to algebra to get the answer. Eg x=sheep, y=ducks, so x+y=23 and 4x+2y=82. As this is P3 maths, you are technically not allowed to use algebra as it is not taught yet and algrebra is Mathematics and not Arithmetic. The other method is to do ratios but it can be a challenge if the numbers get too big.  I found a Youtube Video which explains how to this sum but I am blogging this to keep a record on how to this for posterity. The Explanation and The Working  There are a total of 23 animals in the farm and ...

An Age Old Problem

Question Mrs Ismail was 4 times as old as her daughter 5 years ago . How old is Mrs Ismail now if the sum of their present ages is 55 years ? I was initially stumped by the question. I drew the necessary block diagram but "the 5 years ago" and the "present age is 55 years". I gave up on the question and decided to leave it aside for a day. The next day, I had a light bulb moment when it daunt upon me to just add the 5 years to each block to make it a total of 55 years old. If you have drawn the blocks without the +5, I feel you. That was where I got stuck too till that light bulb moment. Once you see this diagram, you should immediately know how to solve this question. Step 1: 55 - (5+5)= 45 The total value of the five boxes is 45. Step 2: 45 / 5 = 9 The value of each box is 9. Step 3: 9 x 4 = 36 Mrs Ismail was 36 years old 5 years ago. Step 4: 36+5 = 41 Mrs Ismail is 41 years old now.