Solve problems involving missing coordinates

Maths

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.

Area, perimeter, position and direction

The vertices of a square have been plotted. What is the missing x value? 

The vertices of a square have been plotted. What is the missing y value?

If you know the x and y coordinates of vertex a, what other coordinates do you know? 

No. You can't work out either side length of the rectangle from one coordinate.

No. You can't work out the long side of the rectangle from one coordinate.

No. You can't work out the short side of the rectangle from one coordinate.

Two congruent rectangles have been placed on a coordinate grid. Is there enough information to work out the missing coordinates? 

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

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

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

Increasing or decreasing the side lengths of a shape.

Moving a shape horizontally and/or vertically without changing its size.

Transforming a shape using a mirror line.

Which of these best describes translation?

Subtract 5 from 2 and complete the equation 2 − 5 = {{ }}

Add 10 to −4 and complete the equation − 4 + 10 = {{ }}

This lesson will be removed by end of Summer Term 2025.

Solve problems involving missing coordinates

Lesson outcome

This lesson will be removed by end of Summer Term 2025.