Maths | Year 6 | Position and Direction | Transform Shapes in All Four Quadrants | Lesson 2 of 5: Drawing Coordinates Shapes

Maths

Success Criteria

Aim I can plot coordinates to draw shapes using all four quadrants and identify missing coordinate positions.

• I can extend the x-axis and y-axis backwards into negative numbers to create the four quadrants.

• I can plot shapes on a coordinate grid.

• I can identify the missing coordinate positions of a 2D shape.

Which Quadrilateral? 6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

trapezium

When the following coordinates are plotted on the coordinate grid and joined together with straight lines, which 2D shape is created?

parallelogram

kite

0

rectangle

A=(-4,2)

C=(3,6)

B=(-2,4)

D=(-6,-3)

A

B

C

D

6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

trapezium

When the following coordinates are plotted on the coordinate grid and joined together with straight lines, which 2D shape is created?

parallelogram

kite

0

rectangle

A=(5,-2)

C=(-6,-2)

B=(2,2)

D=(2,-6)

A

B

C

D

Which Quadrilateral?

6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

trapezium

When the following coordinates are plotted on the coordinate grid and joined together with straight lines, which 2D shape is created?

kite

parallelogram

0

rectangle

A=(-1,2)

C=(2,-3)

B=(5,2)

D=(-4,-3)

A

B

C

D

Which Quadrilateral?

Coordinate Shape Reasoning 6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

x-ax

is

y-axis

Shape ABCD is a square.

Vertex D has not been plotted.

In order to plot vertex D and complete drawing the square, we will have to use reasoning.

A

First, identify the length of the sides of the square.

The length of each side of the square is 6. We can use this information to plot vertex D and complete drawing the shape.

D

B C

Coordinate Shape Reasoning x-

axis

y-axis

Shape ABCD is a square.

D C

It has been drawn on a four-quadrant coordinate plane where the axes are not numbered and the grid lines not shown.

Vertices A and C of the square are labelled with their coordinates.

In order to identify the coordinate positions of vertices B and D, we will have to use reasoning. A B ( -1 4 ) ,

2 , 1 )

Coordinate Shape Reasoning x-

axis

y-axis

Vertex A is positioned on line -1 of the x-axis.

D C

( -4 3 )

( -4 , )

,

Vertex D is positioned on the same x-axis line; therefore, we know the x coordinate of D.

Vertex C is positioned on line 2 of the x-axis.

( 2 , -3 )

Vertex B is positioned on the same x-axis line; therefore, we know the x coordinate of B. A B ( 2 , )

Coordinate Shape Reasoning x-

axis

y-axis

D C

( -4 3 )

( -4 , )

,

( 2

, -3 )

A

Vertex A is positioned on line 4 of the y-axis.

B ( 2

,

)

Vertex B is positioned on the same y-axis line; therefore, we know the y coordinate of B.

Vertex C is positioned on line 1 of the y-axis.

Vertex D is positioned on the same y-axis line; therefore, we know the y coordinate of D. 3

-3

Coordinate Squares Dominoes

Coordinate Shape Reasoning

Spot the Mistake 6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

When plotted, the following coordinates should join together with straight lines to create an isosceles trapezium. Which coordinate has been incorrectly plotted?

0 A (-3,-4)

C (2,-1)

D (-4,-1)

B (1,-4)

C

A

D

B

C

Spot the Mistake 6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

1 2 3 4 5 6 -6 -5 -4 -3 -2 -1

When plotted, the following coordinates should join together with straight lines to create a right-angled triangle. Which coordinate has been incorrectly plotted?

0 A (-5,-2)

B (2,-2)

C (2,3)

C

A

B

B

Success Criteria

Aim I can plot coordinates to draw shapes using all four quadrants and identify missing coordinate positions.

• I can extend the x-axis and y-axis backwards into negative numbers to create the four quadrants.

• I can plot shapes on a coordinate grid.

• I can identify the missing coordinate positions of a 2D shape.