Calculate the area of rectilinear shapes

Mathematics

Calculate the area of rectilinear shapes

Wednesday 27th January 2021

A rectilinear shape has straight sides and right angles, just like a rectangle.Rectilinear shapes however look more like 2 rectangles that have been stuck together.

Strategy 1

You could first split the shape into 2 rectangles and find the area of each of these rectangles, then add them together.

Example

4cmI have split my shape into 2 rectangles.

I can see that the rectangle that is not shaded in has a length of 4 cm and a width of 2 cm I will multiply these together to find the area4 x 2 = 8 cm

My shaded rectangle is the same size as my non shaded square so I can complete the same calculation 4 x 2 = 8 cm

I can now add these answers together to find the area of the whole shape8 + 8 = 16 cm

Strategy 2

This involves finding the area of a whole rectangle and subtracting the area of the missing section

Example

I start by finding the area of the whole green square ignoring the white section in the middle. I can see the measurements are 5 and 6. 5 x 6 = 30 cm

Now I will find the area of the small white section. I can see this section has a length of 2 squares, which in this case equals 2 centimeters, and a width of 1 square (1 cm) 1 x 2 = 2 cm

Now I can subtract the white section from the green to find the exact area of the green section

30 - 2 = 28 cm

6 cm

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Warm up

Decide if the following are a measure of area, length or perimeter.

The distance a javelinis thrown.

The amount of turf neededto cover a football pitch.

The amount of rope used to surround a boxing ring.

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These are rectilinear shapes. How can we describe rectilinear shapes?

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How would you find the area of this rectilinear shape?

length x width = area

Split the rectilinear shapes and calculate their area

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length x width = area*images are not to scale

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length x width = area*images are not to scale

Calculate the area using strategy 2

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Use your preferred strategy to calculate the area of the rectilinear shapes

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Use your preferred strategy to calculate the area of the rectilinear shapes

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Use your preferred strategy to calculate the area of the rectilinear shapes

Source of all images : Mr Kelsall or Oak National Academy

Wednesday 27th January Year 5 – Reading

Kensuke’s Kingdom By Michael Morpurgo

Chapter 7 – pg 99 – 103

Retrieval

1) What does Michael smell (pg 99)?

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2) How had Kensuke furnished his cave home (pg 102)?

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3) What did Kensuke spend hours doing every day (pg 102-103)?

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4) What would Kensuke rummage around for in the large wooden chests (pg 103)?

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Inference

Put yourself in Michaels shoes at this point in the story. How do you think he is feeling? Is he frightened that he is unable to move? Will he be okay? How do his jellyfish wounds feel? Is he comforted by Kensuke being with him?

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Wednesday 27th January Year 5 – Writing

Character description

Today you are creating a character description to include in your beginning!

1) Start by creatingyour charactera. Are they a boy or agirl?b. What do they looklike?c. What are theywearing?2) Around the outline,describe your characterspersonality.a. Are they happy?b. What are their likesand dislikes?c. Do they have anypets?

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Wednesday 27th January Year 5 – Writing

Writing our beginning.

Watch the example on DB for more explanation on what to do.

Now you are going to begin your writing. We are only going to be focussing on our beginning. Do not write more.

Use the story mountain planning and your character description to help you.

Your beginning should include

- A setting descriptiono Where are we?

- A character descriptiono Who is our main character?

- Contexto Why are we here?o How did we end up in this situation?

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Wednesday 27th January Year 5 – Art

Blending

Blending is a technique used by artist to gently transition from one colour to another.

Some artists use blending to add shadows to a piece, to make it look more 3D

You can see they have used blending to add more definition in her nose, they haven’t used solid lines.

This technique can also be seen in the lips around where the lips and face connect.

Can you find examples of blending in the image below?

Where has the artist used blending?

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Wednesday 27th January Year 5 – Art

Watch the video of DB on how to blend and use the boxes to practice.

Which technique did you find to be the most effective for blending?

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