How To Draw A Math Model

Singapore Math: Drawing Models

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This technique is ane of the nearly powerful techniques in helping your educatee or child sympathise complex Math word problems.

It is a visual way of helping yous understand the question. The concept is easy to undestand but there are some rules to follow to get the about out of this method.

Basically, 'drawing models' require you to draw boxes or rectangles to represent numbers. It enables us to compare numbers, fractions, ratios and percentages easily.

Let's look at a few simple questions then you can get a meliorate idea about how it all works. It is very important to go through all the elementary questions until you have a proficient agreement of how to draw models.

Make sure you try it out yourself!

Example

Charlie and James are picking upwardly pebbles. Charlie picked up two-thirds as many pebbles every bit James. After James threw away 16 pebbles, he has three fewer pebbles than Charlie. How many pebbles did Charlie option upwards?

Solution:

Learn to apply this method.

Question 1

This question uses the concept of 'more than'.

The data given in this question is very direct-forrad and easy to sympathize. This blazon of question is a practiced starting point in learning how to draw models.

In this question, 2 quantities are given and you need to compare them to find the difference.

The start matter nosotros accept to decide is "Who has the bigger number?" So we draw the models co-ordinate these rules.

Rules to remember:

The size of the rectangle or box should correspond to the number; a bigger number should have a bigger box.
The boxes should be aligned to the left to get in easy to compare their size.
Add color to brand the 'extra' or 'excess' portion stand out.
Use braces or brackets to write the number / words outside of the box.

By looking at the models, nosotros can tell straightaway that we need to use subtraction to detect the answer, the 'more than' portion.

30 - 24 = 6

Question 2

Hither is another question that uses the concept of 'more than'. Although the question is phrased differently from question 1, we draw very like models.

In this question, i quantity is given and you have to find the second quantity. The deviation is given to allow y'all to be able to compare them.

Again we have to first decide who has the bigger number and draw the two boxes appropriately. I similar to draw the bigger box above the smaller box but y'all can likewise draw them the reverse way.

Rule to recollect:

Larn to infer 'hidden' data.

Although the question but gives united states of america the number of Mary'south apples, we can infer that the portion of Andy's box that is the same size every bit Mary'due south box must exist the same number and then we write information technology in.

This model is slightly different from that of question ane in that we write some numbers within the box. We can also add together a question mark to assist us understand which role we demand to notice out.

Study both questions once again to understand when to write numbers inside the box and when to write them outside the box.

Can you see that in this question we need to use addition to find the answer?

24 + 10 = 34

Question 3

This question uses the concept of 'less than'.

By drawing models, information technology becomes articulate than 'less than' and 'more than' are closely related concepts.

In this question, 1 quantity is given and you lot must find the 2nd. The difference is given then you tin compare them.

Think about:

Who has the bigger number?
Should you lot write the number within or outside the box?
Where should y'all place the question mark?

Which functioning practice we need to use to find the answer?

Yep, it's subtraction.

thirty - vi = 24

Question 4

This question is like to question 2 and uses the concept of 'more than'.

In question two, the smaller number is given merely in this question, the bigger number is given.

Tin can you see that although the concept is 'more than' which most students take to mean addition, this question really requires yous to use subtraction to find the answer.

30 - 10 = xx