Isometric means distances between points stay the same. In this lesson we use isometric paper which has equally spaced dots or points.

A solid is a shape that has three dimensions (e.g. width, height and depth).

Representing 3D shapes in 2D

Maths

Checking and securing understanding of accurate drawings

Drawing the plan and elevations of a solid

Drawing the solid from the plan and elevations

Problem solving with plans and elevations

In the prior unit, pupils considered different views of a 3-D shape in order to understand how to calculate the surface area and volume. In this unit, pupils will be considering a 3-D shape from different viewpoints in order to draw the side and front elevations as well as the plan.

In this unit, pupils will be considering a 3-D shape from different viewpoints in order to draw the side and front elevations as well as the plan view.

Plans and elevations

{{}} paper contains dots or points which are all equally spaced, such as in the diagram.

The image shows a photograph and an isometric drawing of a pencil sharpener. The value of $$a$$ is {{ }}.

The image shows a photograph and an isometric drawing of a pencil sharpener. The value of $$c$$ is {{ }}.

The image shows a solid that is constructed with two congruent cuboids and an isometric drawing of the solid. The value of $$a$$ is {{ }}.

The image shows a solid that is constructed with two congruent cuboids and an isometric drawing of the solid. The value of $$d$$ is {{ }}.

Which isometric drawing shows a cuboid with lengths 2 units, 3 units and 5 units?

If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are __________.

The image is a 2D representation of a 3D shape. What is the shape?

The image is a 2D representation of a 3D shape. The shape is a {{ }}.

Jacob has got his pair of compasses ready to draw a circle. Which statements will be true?

Representing 3D shapes in 2D

Lesson outcome