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Summer 2 Week 1 Lesson 4

Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

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Page 1: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Summer 2 Week 1Lesson 4

Page 2: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Name these shapes.

Starter

Page 3: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Name these shapes.

Rectangle

Square

Trapezoid

Decagon

Pentagon

HexagonOctagon

Parallelogram

Starter

Page 4: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

• Understand that there are 3 types of angles: Right angle, acute and obtuse.

• Right angles = 90˚• Acute angles = less than 90˚• Obtuse angles = more than 90˚• Be able to use angle tester to test angles.

• Angles• Right

angle• Obtuse• Acute• 90˚• Squares• Rectangles• Regular

polygons• Irregular

polygons

How can I decide if an angle is obtuse, acute or a right angle and how can I order them?

Page 5: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Right Angles

Angles that are 90° are called right angles and are marked with small squares.

A right angle is formed by the intersection of 2 perpendicular lines.

Page 6: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Acute Angles

Angles that are less than 90° are called acute

Page 7: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Obtuse Angles

Angles that are more than 90° are called obtuse.

Page 8: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which angles are acute?

What other types of angle can you identify above?

Page 9: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which angles are acute?

What other types of angle can you identify above?

1 Obtuse angle and 2 right angles

Page 10: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Look at this trapezium.What types of angles can you see inside it?

obtuse obtuse

acuteacute

Page 11: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Look at this trapezium.What types of angles can you see inside it?

Page 12: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which angle is the odd one out?

Why?

Page 13: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which angle is the odd one out?

Why?

It’s the only angle that isn’t obtuse; it’s a right angle.

Page 14: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Is it possible to draw a right-angled triangle

where one of the other angles is obtuse?

Page 15: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

The angles in a triangle always total 180 degrees. Therefore, in a right-angled triangle, the right angle is 90 degrees, making it

impossible for either angles to be obtuse.

Page 16: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which of these statements about a kite is:

a) never true?

b) always true?

c) sometimes true?

A kite has two equal angles.

A kite has four right angles.

A kite has two equal obtuse angles.

Page 17: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which of these statements about a kite is:

a) never true?

b) always true?

c) sometimes true?

A kite has two equal angles.

A kite has four right angles.

A kite has two equal obtuse angles.

always true

never true

sometimes true

Page 18: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

A right angle is 90°.An obtuse angle is greater than 90° but smaller than 180°.An acute angle is smaller than 90°.

Using these facts, what is the smallest number of degrees you could add to 45° to make an obtuse angle? How do you know?

Page 19: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

A right angle is 90°.An obtuse angle is greater than 90° but smaller than 180°.An acute angle is smaller than 90°.

Using these facts, what is the smallest number of degrees you could add to 45° to make an obtuse angle? How do you know?

46 ° The smallest obtuse angle must be 91 ° and 45 + 46

= 91 °.

Page 20: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Use the greater than and less than symbols to compare these angles:

Page 21: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Use the greater than and less than symbols to compare these angles:

<

<

>

Page 22: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which angle is the odd one out?

Explain your choice.

Page 23: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

Which angle is the odd one out?

The rest are obtuse angles

Page 24: Summer 2 Week 1 - The Iver Village Junior School...Summer 2 Week 1 Lesson 4 Name these shapes. Starter Name these shapes. Rectangle Square Trapezoid Decagon Pentagon Hexagon Octagon

TasksHard Harder

Label angels Label and order angles sheet

Hardest Herculean

Label and order angles sheet Label and order angles sheet