l.o.1 to be able to recall the 9 times table and use it to derive associated number facts

79
L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Upload: sebastian-dawson

Post on 28-Mar-2015

217 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

L.O.1

To be able to recall the 9 times table and use it to derive associated number facts

Page 2: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

9

Page 3: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

9 90

Q. Can we use our knowledge of the 9 times table to say the 90 times table?

Page 4: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

9 90 900

Page 5: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

1 9 2

8 3

7 4 6 5

Page 6: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

9

81 1 18

9 2

72 8 x9 clock 3 27

63 7 4 36

6 5

54 45

Page 7: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. How can we use our x9 clock to work out 40 x 9?

9

81 1 18

9 2

72 8 x9 clock 3 27

63 7 4 36

6 5

54 45

Page 8: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The outer number divided by the inner one is always 9.

9

81 1 18

9 2

72 8 x9 clock 3 27

63 7 4 36

6 5

54 45

Page 9: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. How can we use our x9 clock to work out 540 ÷ 9?

9

81 1 18

9 2

72 8 x9 clock 3 27

63 7 4 36

6 5

54 45

Page 10: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

L.O.2

To understand and use angle measure in degrees,

To be able to identify and estimate acute and obtuse angles

To be able to calculate angles in a straight line.

Page 11: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

REMEMBER…

An ANGLE is an amount of TURN.

Q. What unit do we measure angles in?

Page 12: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. How many degrees are there in a right angle?

We use the symbol ° to show degrees.

like this 36° or 178° or 317°.

Page 13: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

What is the size of this angle?

What is it called?

Page 14: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. What is the name of an angle smaller than 90°?

Page 15: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

An angle less than 90° is called an

acute angle.

Copy into your book:

Angles < 90° are called acute angles

Page 16: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

The horizontal line on the right has been turned through 1 right angle or 90°.

START

FINISH

Page 17: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Estimate the size of these angles.

Page 18: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Estimate the size of these angles.

Page 19: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

What do we know about A + B?

A

A

B

B

A + B are called COMPLEMENTARY angles.

Page 20: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. What size are these angles?

Page 21: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. What size is this angle now?

Page 22: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The angle is 180° and is made up of 2 right angles.

Copy into your books:

Straight line = 2 right angles = 180°

Page 23: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Complementary angles on a straight line are called :

Copy into your book:

90° < Angles < 180° are called obtuse angles.

obtuse acute

Page 24: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Oral work with 2D shapes.

Page 25: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

By the end of the lesson children should be able to:

Know that an angle less than 90° is acute; an angle between 90° and 180° is obtuse.

Begin to identify and estimate acute, obtuse and right angles.

Identify acute, obtuse and right angles in 2D shapes.

Calculate angles in a straight line.

Page 26: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

L.O.1

To be able to say whether angles are acute, obtuse or right angles.

To be able to estimate and order angles.

Page 27: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Look at each of these angles.

Decide if each is A acute, O obtuse or R right-angled.

1 2

3 4 5

67

8

Page 28: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. What could we use in the classroom to check that an angle is a right angle?

Page 29: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. How many angles has this triangle?

A

Q. What is the name of this angle?

Q. What size is this angle?

Page 30: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

We are going to identify each angle and write in its letter.

A

A B C D E F G H I

Page 31: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Now we shall estimate to put the letters in order of size.

A

A B C D E F G H I

How can we be sure?

Page 32: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

L.O.2

To be able to calculate angles in a straight line

To be able to use a protractor to measure and draw acute and obtuse angles to 5°

Page 33: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

We have four strips of card.

They are at right angles.

We are going to move the red one !

Page 34: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

Q. How many degrees has the red strip turned?

Page 35: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

Q. How many degrees has the strip turned now ?

Page 36: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

Q. How many degrees has the strip turned?

Page 37: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

The strip has moved all the way round to where it started. How many degrees has it turned?

Page 38: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

A whole turn = 4 right angles = 360°

Page 39: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

REMEMBER….

It is possible to turn through more than 360°

Page 40: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

LOOK…

Q. How many degrees has the red strip turned now ?

Page 41: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The circle has 10 equally spaced points on its circumference.

Q. If the arrow moves

around all ten points and ends back where it started how many degrees has it turned through?

Q. If the arrow moves to

the next point on the circumference how many degrees has it turned through? What is the angle of turn?

Page 42: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The circle has 10 equally spaced points on its circumference.

Q. If the arrow moves

around all ten points and ends back where it started how many degrees has it turned

through? 360°Q. If the arrow moves to

the next point on the circumference how many degrees has it

turned through? 36°

The angle of turn if the arrow moves to

the next point is 360° ÷ 10 = 36°

Page 43: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The line is a RADIUS.

It connects the centre of the circle in a straight line to a point on the circumference.

Where should I draw another radius to make

an angle of 72° ?

Page 44: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Either of the dotted lines will give an

angle of 72°.

36° x 2 = 72°

One is clockwise from our original radius and the other is anti-clockwise.

72°72°

Page 45: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Where should I draw another radius to make

an angle of 108° ?

Page 46: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Either of the dotted lines will give an

angle of 108° .

36° x 3 = 108°

One is clockwise from our original radius and the other is anti-clockwise.

108°

108°

Page 47: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Where should I draw another radius to make

an angle of 144° ?

Page 48: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Either of the dotted lines will give an

angle of 144° .

36° x 4 = 144°

One is clockwise from our original radius and the other is anti-clockwise.

144°

144°

Page 49: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

This circle has 9 equally spaced points on its circumference.

Q. If the arrow

moves to the next point on the circumference how many degrees has it moved through?

Q. What is the angle of turn?

Page 50: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

This circle has 9 equally spaced points on its circumference.

Q. If the arrow

moves to the next point on the circumference how many degrees has it moved

through? 40°Q. The angle of turn if the arrow

moves to the next point is

360° ÷ 9 = 40 °

Page 51: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Calculate and write down the following angles of turn moving clockwise:

from A to C

from C to F

from B to G

from D to G

from C to I

from A to G

from H to E

A

B

C

D

F E

H

G

I

Page 52: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The points are joined in order. How many sides has the shape?

1

2

3

4

5 6

7

8

9

Page 53: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The shape has 9 sides so is called a NONAGON.

1

2

3

4

5 6

7

8

9

The sides are the same length, the angles are the same so it is REGULAR.

Page 54: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

There are 9 internal angles. They are all the same.

1

2

3

4

5 6

7

8

9

Each internal angle is 140°.

Page 55: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The points are joined differently. What is this shape called?

1

2

3

4

5 6

7

8

9

Page 56: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

It has 18 straight edges so it must be a polygon.

1

2

3

4

5 6

7

8

9

Some of the edges turn inwards so it is a CONCAVE POLYGON

Page 57: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

There is a regular nonagon inside the shape!

1

2

3

4

5 6

7

8

9

What size are the angles on the circumference of the circle?

Page 58: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Using a corner of paper we see the angles are about 100°.

1

2

3

4

5 6

7

8

9

Estimate then measure the size of some other angles.

Page 59: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The circles are in pairs.

Number the points round each circle. Start at the top with 1. Go clockwise. Be accurate. Use a sharp pencil.

For column A join each point to THE NEXT ONE.

For column B join each point to

THE NEXT BUT ONE

i.e. 1→3, 3→5 and so on.

A B

Page 60: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

You should have something like this.

What can we say about the shapes we have made?

A B

Page 61: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Copy and complete this table

Number of points and

name of shape

Angle at centre of circle

3

4

5

6

7

8

9 nonagon 360° ÷ 9 = 40°

10 decagon 360° ÷ 10 = 36°

Page 62: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Number of points and

name of shape

Angle at centre of circle

3 triangle 360° ÷ 3 = 120°

4 square 360° ÷ 4 = 90°

5 pentagon 360° ÷ 5 = 72°

6 hexagon 360° ÷ 6 = 60°

7 heptagon 360° ÷ 7 = 51°

8 octagon 360° ÷ 8 = 45°

9 nonagon 360° ÷ 9 = 40°

10 decagon 360° ÷ 10 = 36°

Page 63: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

By the end of the lesson children should be able to:

Begin to identify, estimate and calculate acute, obtuse and right angles.

Identify acute, obtuse and right angles in

2-D shapes

Estimate the size of angles and begin to use a protractor to measure angles.

Page 64: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

L.O.1

To be able to recall the 7 times table and use it to derive associated number facts.

Page 65: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

7

Page 66: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

7 70

Page 67: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

.

7

63 1 14

9 2

56 8 x7 clock 3 21

49 7 4 28

6 5

42 35

Page 68: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Answer these in your books:

1.Q. What is 40 x 7?

2.Q. What is 6 x 70?

3.Q. What is 3 x 0.7?

4.Q. What is 90 x 7?

5.Q. What is 5 x 70?

6.Q. What is 8 x 0.7?

7.Q. What is 7 x 0.07?

Page 69: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Q. What is the outer number divided by the inner number?

1.Q. What is 280 ÷ 7?

2.Q. What is 6.3 ÷ 7?

3.Q. What is 490 ÷ 70?

4.Q. What is 420 ÷ 7?

5.Q. What is 3.5 ÷7?

Page 70: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

L.O.2

To be able to calculate angles in a straight line

To be able to use a protractor to measure and draw acute and obtuse angles to 5°

Page 71: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

Number of points and

name of shape

Angle at centre of circle

3 triangle 360° ÷ 3 = 120°

4 square 360° ÷ 4 = 90°

5 pentagon 360° ÷ 5 = 72°

6 hexagon 360° ÷ 6 = 60°

7 heptagon 360° ÷ 7 = 51°

8 octagon 360° ÷ 8 = 45°

9 nonagon 360° ÷ 9 = 40°

10 decagon 360° ÷ 10 = 36°

The angle for the heptagon is really 51.428571° but we’ll call it 51°!

NOTICE how the angle reduces as the number of points grows

Page 72: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

We are going to look at the pentagon

Draw lines between two adjacent points on the circumference to the centre of the circle to make an angle.

Q. What did we calculate this angle to be?

A B

Page 73: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

You should have something like this.

Measure the angle to check it is 72°.

Q. What type of angle is this?

Now draw in the angle at the centre for each of the other shapes in column A.

Measure each of the angles and compare them with those in the table.

What do you notice?

72°

Page 74: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

There are 5 interior angles in the regular pentagon.

Q. What type of angles are these?

Measure and record these angles.

Q. What size is each angle?

Measure and record the interior angles of the other regular polygons.

Q. Are all their interior angles obtuse?

What do you notice about them?

X

X

X

X

X

Page 75: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

The second shape looks like a regular pentagon at the centre with triangles on the outside.

The outside edge makes a concave polygon.

Q. How many sides has this concave polygon?

Measure and record the angles on the circle.

Do the same for the other concave polygons in column B. What do you notice?

What shapes do you recognise?

Page 76: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

-

Q. What size do you think these two angles are?

Q. What must be the sum of the two angles?

A B

Page 77: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

In your book draw two diagrams with angles like the ones on the previous slide.

Measure and record your angles.

Check the angles on your partner’s diagrams.

Page 78: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

REMEMBER…

When you are measuring angles with a

protractor it is helpful if you first

ESTIMATE the size of the angle

then have a way of checking.

Page 79: L.O.1 To be able to recall the 9 times table and use it to derive associated number facts

By the end of the lesson children should be able to:

Begin to identify, estimate, order, measure and calculate acute, obtuse and right angles;

Calculate angles on a straight line.