Objective: To use the properties of rectangles to find

Monday 6.7.20

Objective: To use the properties of rectangles to find missing lengths

Today, were going to focus on rectangles. We’ll remind ourselves about some of the things that we already know about rectangles and practise finding missing lengths based on information that we already know.

Rectangles have four sides.

The opposite sides of a rectangle are the same length. We mark pairs of sides that are the same with one | or two || small lines.

The opposite sides of a rectangle are parallel - two straight lines that do not and will not meet at any point. We mark sides that are parallel with one ˃ or two ˃˃ small arrows.

A rectangle has four angles that are the same size and all four of them are right angles (90o)

These are the four tests that a shape has to pass in order to be called a rectangle:

Use these facts to help you complete the questions on the next page. You will need a sharp pencil, a ruler and (preferably) some squared paper.

Draw and label the following rectangles on squared paper:

Monday 6.7.20

Objective: To use the properties of rectangles to find missing lengths

Sides measuring 5cm and 10cm




Sides measuring 1.5cm and 5cm

Sides measuring 2.2cm and 5.6cm

Work out the missing lengths of these rectangles:

Take a square piece of paper. Fold it in half lengthways, widthways and then along the diagonals as shown.

How many right angles can you find?

Look at some of the other angles created by the folds. What is the size of these angles? How do you know?

Tuesday 7.7.20

Objective: To use the properties of quadrilaterals to find missing angles

Rectangles are called quadrilaterals because they have four sides. What other quadrilaterals can you think of?

Take a look at some of these common quadrilaterals. What’s the same about them and what’s different?

4 equal sides

4 right angles

2 pairs of parallel sides

4 right angles

2 pairs of equal sides

Diagonally opposite angles are equal

2 pairs of equal sides

Horizontal angles are equal

1 pair of parallel sides

1 pair of sides equal length

Horizontal angles are equal

4 equal sides

Diagonally opposite angles are equal

There are lots of similarities and differences but look closely at the angles…

What is the total of 4 right angles (4 x 90o)? What if you add up the angles of a rhombus? A kite? What to you notice?

The sum of the interior (inside) angles of a quadrilateral is always 360o!

Tuesday 7.7.20


The sum of the interior (inside) angles of a quadrilateral is always 360o!

Use the facts on the previous page and the fact that the interior angles of a quadrilateral total 360o to find the missing lengths and angles below:

Find the missing angles in these quadrilaterals:

Billy and Charlotte are discussing this shape. Who do you agree with?

Explain your answer.

Tuesday 7.7.20


Wednesday 8.7.20

Objective: To recognise regular and irregular polygons

Which of these two shapes is a hexagon? Well, actually—they both are! A hexagon is a polygon (any two dimensional shape that has straight sides) with six sides and six angles. The blue shape is what we tend to think of when we think of a hexagon and that’s because it is what is called a regular hexagon. That means that all of the sides are the same length and all of the angles are the same size. The pink shape is an irregular hexagon. It has six sides but the angles and sides are not all the same. We can apply this reasoning to all polygons:

No. Sides Name

3 Triangle

4 Quadrilateral

5 Pentagon

6 Hexagon

7 Heptagon

8 Octagon

No. Sides Name

9 Nonagon

10 Decagon

11 Hendecagon

12 Dodecagon

13 Triskaidecagon

14 Tetradecagon

Generalisation: A regular polygon is any shape with straight sides that has all sides the same length and all angles the same size

Generalisation: A regular polygon is any shape with straight sides that has all sides the same length and all angles the same size

This generalisation can be applied to polygons with any number of sides. Shapes have different names depending on the number of sides that they have:

Use your understanding of regular and irregular polygons to label the shapes on the next page:

Wednesday 8.7.20


Label each of the polygons below. State whether it is a regular or irregular shape and give its mathematical name e.g. regular hexagon

Wednesday 8.7.20


The interior angles of a triangle add up to 180o.

What is the size of one angle in regular triangle?

The interior angles of a hexagon add up to 720o.

What is the size of one angle in regular hexagon?

The interior angles of a octagon add up to 1080o.

What is the size of one angle in regular octagon?

Thuraday 9.7.20

Objective: To recognise 3D shapes from 2D representations and nets

Use the table below to familiarise yourself with the names of these common 3D shapes.

Use the nets on the next pages to create the 3D shapes from paper before completing the going deeper challenges.

Thursday 9.7.20

Objective: To recognise 3D shapes from 2D representations and nets

Documents

Objective: To use the properties of rectangles to find