What does the word coordinate

mean?

To coordinate means to do

something in a set order.

So coordinates are a way of

ordering things exactly

Monday 6th July

Examples

Key words

Quadrant

Coordinates•Used to show a position on a coordinate plane or map

•shown as a pair of letters and/or numbers

•The first coordinate is the horizontal position (x axis)

•The second coordinate is the vertical position (y axis)

•Any quarter of a plane divided by an x and y axis.

Examples Coordinates

(4,2) - 4 in the horizontal and 2 in the vertical

(x,y) - x is horizontal, y is the vertical

We read and write coordinates in a particular order. Remember the rule, along the corridor and up the stairs!

(1,6)= n

(3,2)= e

(1,3) = g

(5,3)= a

(6,0)= t

(1,4)= i

(0,2)= v

Plenary: These four points are the

corners of a rectangle.

How long are the sides of the rectangle?

What are the coordinates of the remaining corner?

What are the coordinates of the middle?

(7,3)

(-4,-1)

Co-ordinates

in all 4 quadrants

Tuesday 7th July

Quadrant 1Quadrant 2

Quadrant 3 Quadrant 4

eg: (2,2)eg: (-2,2)

eg: (-2,-2) eg: (2,-2)

origin(0,0)

x axis

1st

y axis

2nd

Co-ordinates in the 1st Quadrant

(2,2)

(5,2)

(9,5)

(6,7)

Co-ordinates in the 2nd Quadrant

(-2,2)(-3,8)(-7,7)(-9,4)

Co-ordinates in the 3rd Quadrant

(-3,-2)(-9,-5)(-7,-9)(0,-6)

Co-ordinates in the 4th Quadrant

(4,-1)(9,-7)(5,-5)

(9,0)

Co-ordinates in all 4 Quadrants

(2,6)(6,2)

(-3,0)(-6,4)

(-9,-3)

(-1,-6)

(5,-1)

(9,-7)

For the next couple of days, if you would prefer to watch a video, Y5 have had some WRM

work based on translations and reflection during lockdown.

Even though your work is of a Y6 level, the videos at the link below may be useful as a

reminder.

https://whiterosemaths.com/homelearning/year-5/

For Wednesday’s lesson on translation, use the video Week 11 (6th July) lesson 4.

For Thursday’s lesson on reflection, use the video Week 11 (6th July) lesson 3.

If you prefer, use the following slides to help you!

What Is a Translation?A translation is when a

shape moves from one

position to another

without being rotated or

flipped.

On this grid, rectangle A has

been moved to position B.

A

B

x

y

Wednesday 8th July

This is not a translation

because the shape has

been rotated.

What Is a Translation?

A

B

x

y

Translating Shapes

Is this a translation?

A

B

Yes

This is a

translation.x

y

Translating Shapes

Is this a translation?

No

This is not a

translation

because the

shape has

been rotated.

A

x

y

Translating Shapes

Is this a translation?

No

This is not a

translation

because the

shape has

been rotated.

A

B

x

y

How Do We Describe a Translation?

To describe a translation, you

have to say how many squares

it has moved to the left or right,

and how many squares it has

moved up or down.

AB

The shape has been translated

4 squares to the right. Then

3 squares up.

The coordinates of the black point

on shape A are (1,4).

What are the coordinates of the

point shown on shape B?

(5,7)x

y

AB

How Do We Describe a Translation?

The shape has been translated

4 squares to the left.

Then 5 squares up.

The coordinates of the black

point on shape A are (5,4).

What are the coordinates of

the point shown on shape B?(1,9)

x

y

B

How Has This Shape Been

Translated From A to B?

This shape has been

translated 3 squares to the

right and

4 squares down.Can you work out the coordinates of

the black point on shape A and shape

B?

(1,7) (4,3)

Can you work out all the

coordinates of shape B?

(4,3) (8,3) (8,5) (4,5)

A

B

A

x

y

B

How Has This Shape Been

Translated From A to B?

This shape has been

translated 2 squares to the

left and

5 squares down.Can you work out the coordinates of

the black point on shape A and shape

B?

(8,6) (6,1)

Can you work out all the

coordinates of shape B?

(6,1) (3,1) (3,4)

A

B

A

x

y

B

How Has This Shape Been

Translated From A to B?

This shape has been

translated 3 squares to the

left and

3 squares up.Can you work out the coordinates of

the black point on shape A and shape

B?

(5,5) (2,8)

Can you work out all the

coordinates of shape B?

(2,8) (4,8) (3,5) (1,5)

B

AA

x

y

Diving

Reflect these shapes in the mirror lines.

Reflection

Diving

Which is the odd one out and why? Discuss with your Learning Partner.

Reflection

This is the odd one out. The trapezium has not been

reflected; it has been translated.

DeeperReflection

Jack is reflecting a triangle in two perpendicular mirror lines.

Where has he made a mistake? What should this triangle look like? Draw on your white

board.

The highlighted triangle was incorrect.

It should look like this if it has been reflected

correctly.

DeepestReflection

When reflecting through two mirror lines,

although the triangles are congruent, they

look ‘upside down’ to each other.

Which of these shapes, when reflecting

through two mirror lines, will look

identical in all four reflections?

The square, rectangle and circle will all look

identical in each quadrant.

The isosceles triangle, semi-circle and

parallelogram will look ‘upside down’ in two

quadrants.

Can you identify any other shapes that would

look the same in all four quadrants?

DeepestReflection

You might have thought of a rhombus regular hexagon and an oval.

Are there any other regular polygons that look identical in all four quadrants once reflected?

Can you and your learning partner make a generalisation about reflected regular polygons

and which look identical and which don’t?

DeepestReflection

You might have noticed that only regular polygons with an even number of sides look identical

when reflected across two perpendicular mirror lines.