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Recognise and estimate angles.

Use a protractor to measure and draw acute and obtuse angles to Page 111the nearest degree.

Check that the sum of the angles in a triangle is 180 degrees.

Calculate angles in a triangle or around a point.

Describe and visualise properties of solid shapes such as parallel or Pages 103, 109perpendicular faces or edges.

Visualise 3D shapes from 2D drawings and identify different nets for Page 105a closed cube.

Calculate the perimeter and area of simple compound shapes Page 97that can be split into rectangles.

Unit 8 Five daily lessonsAngles, 2D and 3D shapes, perimeter and area

Year 6Spring term

Resources needed to teach this unit:

Resource sheet 8.1 Resource sheet 8.2 Activity sheet 8.1 Activity sheet 8.2 Activity sheet 8.3 Activity sheet 8.4 OHT 8.1 OHT 8.2 OHT 8.3 OHT 8.4 OHT 8.5 CD from Using ICT to Support Numeracy pack

Protractors OHP protractor Arrow cards Whiteboards Centimetre squared paper Interlocking cubes Cardboard box Models of prisms and pyramids Related Key Stage 2 national test questions

Unit ObjectivesYear 6

Link Objectives

(Key objectives in bold)

Use a protractor to measure and draw acuteand obtuse angles to the nearest 5 degrees.

Identify, estimate and order acute and obtuseangles.

Calculate angles in a straight line.

Make shapes with increasing accuracy.

Visualise 3D shapes from 2D drawings andidentify different nets for an open cube.

Understand area measured in squarecentimetres(cm2). Understand and use theformula in words length times breadth for

the area of a rectangle.

Know the sum of angles at a point, on a straight lineand in a triangle and recognise vertically opposite angles.

Use angle measure; distinguish between and estimate thesize of acute, obtuse and reflex angles.

Use a ruler and protractor to measure and draw lines to thenearest millimetre and angles to the nearest degree.

Use 2D representations to visualise 3D shapes.

Begin to identify and use angle, side and symmetryproperties of triangles and quadrilaterals; solve geometricalproblems involving these properties, using step by stepdeduction and explaining reasoning with diagrams and text.

Know and use the formula for the area of a rectangle;

calculate the perimeter and area of shapes made fromrectangles.

NNS Unit Plans

This Unit Plan is designedto guide your teaching.

You will need to adapt it to

meet the needs of your class.

Year 5 Year 7

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Resourc

esheet8.1

NNS

UnitPlans

b

a

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Unit 8 Year 6 (Spring Term) Resource sheet 8.2

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Unit 8 Year 6 (Spring Term) Activity sheet 8.1

1. Draw these angles:

35, 66, 47, 161, 120, 52

2. Measure these angles to the nearestdegree.

1. Draw these angles:

24, 150, 55, 128, 133, 19

2. Measure these angles to the nearestdegree.

a)a)

b)

b)

c)c)

A B

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Unit 8 Year 6 (Spring Term) Activity sheet 8.2

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Unit 8 Year 6 (Spring Term) Activity sheet 8.3

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Shape A Shape B

Shape C

Shape D

Shape F

Shape E

Shape G

Unit 8 Year 6 (Spring Term) Activity sheet 8.4

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Unit 8 Year 6 (Spring Term) OHT 8.1

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Unit 8 Year 6 (Spring Term) OHT 8.2

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OHT8.3

NNS

UnitPlans

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Unit 8 Year 6 (Spring Term) OHT 8.4

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Unit 8 Year 6 (Spring Term) OHT 8.5

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Unit 8 Year 6 (Spring Term)

Measure accurately the longest side of this shape.

Give your answer in millimetres.

2001 Test A

mm

1 mark

17a

Related Key Stage 2 National test questions:

Measure accurately the smallest angle in the shape.

Use a protractor (angle measurer).

17b

17

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Unit 8 Year 6 (Spring Term)

This shape is three-quarters of a circle.

2001 Test A

1 mark

13

How many degrees is anglex? 1 mark

13

x

13

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Unit 8 Year 6 (Spring Term)

Calculate the value of angle x.

Do not use a protractor (angle measurer).

2 marks

26

2001 Test B

Here is an equilateral triangle inside a rectangle.26

x

12

Not to scale

Showyour method.You may get

a mark.

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Unit 8 Year 6 (Spring Term)

2001 Test B

These two shaded triangles are each insidea regular hexagon.

Under each hexagon, put a ring around the correct nameof the shaded triangle.

1 mark

18

equilateral

isosceles

scalene

equilateral

isosceles

scalene

18

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Unit 8 Year 6 (Spring Term)

Here is a shape on a square grid.

For each sentence, put a tick (

) if it is true.Put a cross () if it is not true.

Angle C is an obtuse angle.

Angle D is an acute angle.

LineAD is parallel to line BC.

Li AB i di l t li AD

20

A

D

C B

20

Test B2000

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Unit 8 Year 6 (Spring Term)

2000

2 marks

13

Look at each of these diagrams.Put a tick () if it is the net of a square based pyramid.Put a cross () if it is not.

. . . . . . . . . . .

. .

. . . . . . . . . . .

. .

. . . . . . . . . . .

. .

. . . . . . . . . . .

. .

13

Test B

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Unit 8 Year 6 (Spring Term)

2001

Tom makes this shape from four cubes stuck together.

Two circles are drawn on the shape.

Tom moves the shape.

Draw the circles on the shape in its new position.

1 mark

8

8

Test B

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Unit 8 Year 6 (Spring Term)

2001

Lauren has three small equilateral triangles and one largeequilateral triangle.

The small triangles have sides of 7 centimetres.

Lauren makes this shape.

Not actual size

Calculate the perimeter of the shape.

Do not use a ruler.

7cm

cm

1 mark

20

20

Test B

U i 8 Y 6 (S i T )

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Unit 8 Year 6 (Spring Term)

2001 Test A

This is a centimetre grid.

Draw 3 more lines to make a parallelogramwith an area of 10cm2.

Use a ruler.

1 mark

25

25

U it 8 Y 6 (S i T )

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Unit 8 Year 6 (Spring Term)

2000 Test B

On the grid, draw a rectangle which has the same area as thisshaded pentagon.

Use a ruler.

1 mark

11

11

Unit 8 Year 6 (Spring Term)

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Unit 8 Year 6 (Spring Term)

Liam has two rectangular tiles like this.

He makes this L shape.

What is the perimeter of Liams L shape?

2000 Test A

cm

11cm

1 mark

19

5cm

19

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Unit 8 Year 6 (Spring Term)

Look at this diagram,

2000 Test A

23

35y

x

Not to scale

1 mark

23b

1 mark

23a

Calculate the size of anglex and angley.

Do not use a protractor (angle measurer).

x =

y =

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has aright angle

Unit 8 Year 6 (Spring Term)

Here are four triangles drawn on a square grid.

Write the letter for each triangle in the correct region of the sortingdiagram.

One has been done for you.

2002 Test B

12

A

B

D

C

has a3 acute angles

has anobtuse angle

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Unit 8 Year 6 (Spring Term)

A cube has shaded triangles on three of its faces.

Here is the net of the cube.

Draw in the two missing shaded triangles.

2002 Test B

1 mark

19

19

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Unit 8 Year 6 (Spring Term)

What is the area of this shape?

2002 Test B

1 mark

22

22

10cm

4cm

10cm

7cm

2002 Mental Arithmetic

12 An equilateral triangle has a perimeter of twenty-fourcentimetres. How long is one of its sides? cm

Not to scale

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