This term we have been focusing on Area of 2D regular and irregular shapes.
To begin with we discussed as a class what we thought Area meant.
Area is the size of a surface of a 2D shape.
It is also very important to make sure you have the correct units of measurement when calculating area of shapes. Mrs Baldwin asked us if anybody knew what units of measurement we would use for area. After a few conversations we realised that we needed to make sure we had ‘squared’ at the end of our area answers. For example…
If a shape has an area of 12cm2 this means that the surface can be covered by 12 squares that are 1 centimetre on each side.
If a shape had an area of 350m2 which is how a lot of blocks of land or houses area measured in, this means that the surface of that shape can be covered by 350 squares that are 1 metre on each side.
We then looked at how we can calculate the area of regular shapes by placing a shape on a grid and counting the squares inside of shape.
If each square was 1cm on a side then the area would be 15cm2
Next we discussed how to use the grid paper to calculate the area of irregular shapes. We all drew our hands on a grid of paper. Mrs Baldwin then set the task to find a strategy that best suited us to calculate the total area of our hand. This was a great challenge and it was interesting to see the many different types of strategies. Once we found the answer we were asked to explain how we solved this underneath our working out.
A few of us had an opportunity to share with the class our different ways of calculating the answer. Some of us used coloured pencils and coloured in the whole squares first and then matched the half squares together to make wholes, some of us placed numbers in each square so we could keep track of our counting. A lot of us had to use our knowledge of fractions with adding squares together that were broken in halves and also quarters. Check out some of our solutions below…
The following lesson Mrs Baldwin asked us how we could calculate the area of a regular shape without using grid paper. Imagine trying to measure the area of our classroom floor using the squares from our maths books! This would take a very long time!!
We discovered that there is a formula to calculate area of rectangle and square shapes. The formula is
Area = Length x Width.
Some of us were also able to complete more challenging irregular shapes. With these shapes we had to find a way to cut the shapes so that they would become rectangles or squares. We would then calculate the area of both shares and then add both of these answers together to get the total area.
However sometimes we were given irregular shapes where we had to figure out the length or width of one of the sides by using the other dimensions. For example
If we drew a horizontal line to create a long thin rectangle along the bottom and the other shape becomes a square we would have to think carefully what the length and width would be for both shapes in this case.
Check out the video below for more information about Area.
Next is using all these skills to create our ver own dream house!