Maths - Amazon Web Services · Maths. Success Criteria Aim I can plot coordinates to draw shapes...
Transcript of Maths - Amazon Web Services · Maths. Success Criteria Aim I can plot coordinates to draw shapes...
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.