Plan and Elevation Drawings of 3D shapes

Being able to construct plan and elevation drawings of 3D shapes is a key skill which often leads on to topics such as nets, isometric drawings, volume and surface area.

An elevation drawing is the view that you would see in real life as you stand looking at either the front or side of the solid.  The plan is what you would see if you were looking directly down.   A set of elevation and plan drawings gives you the chance to see all of the object from the multiple viewpoints.

Prior knowledge of 3D shapes

To construct a set of elevation and plan drawings students need to know the properties of a 3D shape and how a solid can be presented on isometric paper.

The starter recaps both of these by asking students to arrange a set of cuboids.  The point of the activity is for students to discuss alternative methods of arrangement. By doing this is they remind themseleves of the various properties of a solid.  How they arrange the cuboids is left open.  Some choose to arrange by volume, surface area or area of cross-section.

Plan and elevation drawings of 3D shapes

To create a set of plan and elevation drawings of 3D shapes it is important to lay out the front, side and plan views so they align with each other.  The height of the front should align with the height of the side and the width of the plan should align to that of the front as you can see from the diagram.

Plan and Elevation Drawings of 3D shapes

When the students practise drawing the front and side elevations and plan view I ask them to draw sketches on mini-whiteboards rather than attempting accurate constructions.  This helps maintain the pace of the lesson as time is not wasted with handing out rulers, sharpeners, pencils and so on…

When students can accurately sketch the plan and elevations I hand out a collection of objects either bought from home or found in school.

Plan and Elevation Drawings of 3D shapes
Plan and Elevation Drawings of 3D shapes
t
Plan and Elevation Drawings of 3D shapes

I ask the students to construct the elevation and plan drawings as accurately as possible in their books.  Each table gets a different object and they pass it on to the next pair when finished.

Creating a solid from the elevation and plan drawings

In the plenary the class are challenged to sketch a multi-coloured 3D object from its plan and elevation drawings.

Plan and Elevation Drawings of 3D shapes

I hand out a set of colours and isometric paper so students can present their work to me and each other at the end.   Students tend to really enjoy this plenary as it reverses what they have just learned.

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Mr Mathematics Blog

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]

Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]