Our focus for the next few weeks in maths is solving word problems. There are many ways to solve a word problem and each problem can be solved in a different way but eventually we should all get the same answers.
How do you solve word problems?
You could try:
- drawing a sketch, a graph or a table (my favourite)
- acting it out or using material like counters
- making a list
- finding a pattern and adding to it
- guessing and checking
- working back wards
- breaking the problem into smaller parts.
Today we are going to look at working backwards.
My new shoes arrived in a rectangular cardboard box. The length of the box was double the width and the width was double the height. The length was 28 centimetres. What was the volume of the shoebox?
First thing you always need to do is work out what you know.
The length is 28 cm
the width x2 is the length
Second thing you always need to do is find out what you need to know
We need to work out the volume: Volume = height x width x length
To work backwards lets find out the width
Half the length is the width so half of 28 is 14 cm
Half the width is the height so half of 14 is 7cm
Volume is h x w x l or
28 x 14 x 7 = 2 744cm3
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