A reflection is an image or shape as it would be seen in a mirror.

The x and y lines that cross at right angles to make a graph or grid are called axes, which is the plural of axis.

Reflect simple shapes in the axes on a full coordinate grid

Maths

Explain how to calculate the area of a parallelogram

Use the area of a parallelogram formula to calculate unknown measurements

Explain how to calculate the area of a triangle

Use the area of a triangle  to calculate unknown measurements

Solve problems involving area and perimeter

Describe the relationship between scale factors and perimeters of two shapes

Draw and complete simple shapes by plotting positions on the full coordinate grid

Draw and translate simple shapes on the full coordinate grid

Solve problems involving missing coordinates

In this unit pupils will explain how to calculate the area of a parallelogram and a triangle describing the relationship between scale factors and side lengths. They will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes In the future unit pupils extend their knowledge of plotting coordinates by now plotting non-integer values.

In the prior unit pupils used knowledge of shape properties to draw, sketch and identify shapes. In this unit pupils will explain how to calculate the area of a parallelogram and a triangle. They will describe the relationship between scale factors and side lengths of two shapes. They will describe positions in all 4 quadrants drawing and translating simple shapes and reflecting them in the axes.

In this unit pupils will explain how to calculate the area of a parallelogram and a triangle. They will describe the relationship between scale factors and side lengths. They will describe positions in all 4 quadrants.

Area, perimeter, position and direction

Which of these correctly shows the reflection of the unshaded shape in the y-axis?

Which of these correctly shows the reflection of the unshaded shape in the x-axis?

One of the vertices of a shape is (−4,1). If the shape is reflected in the y-axis, what is the coordinate of the reflected vertex?

One of the vertices of a shape is (−4,1). If the shape is reflected in the x-axis, what is the coordinate of the reflected vertex?

One of the vertices of a shape is (−4,1). If the shape is reflected in both axes, what is the coordinate of the reflected vertex?

One of the vertices of a shape is (−4,0). If the shape is reflected in both axes, what is the coordinate of the reflected vertex? 

Match the coordinate to the quadrant where it can be found.

What is the coordinate that has been plotted on the grid?

Yes, as long as their side lengths are the same as each other. 

No, because two congruent shapes must be identical. 

Can a rectangle and a square be congruent to each other?

Which other number on a number line showing positive and negative numbers would be the same distance from zero as 5?

Which of these is closest in meaning to ‘vertex’?

Which of these best describes a trapezium?

Reflect simple shapes in the axes on a full coordinate grid

Lesson outcome