Circle Patterns
Introduction
In today's lesson you will need a pencil, eraser, ruler, compass, protractor (and colour pencils - optional). We will be constructing different circle patterns!
Should you not have the physical tools mentioned above, here are some excellent interactive ones on mathspad and geogebra.
Can you draw the shape on the right by just using a pencil and a compass?
Here are some tips on how to use a compass
Here is a demonstration of how to do it using an interactive tool. Can you work out how to do the equivalent by hand? On mathspad? Geogebra?
If you managed the one on the right, try some more complex ones below:
Here is how you can create different shapes by adding lines to your shape. Can you work out how to do the equivalent on mathspad? Geogebra?
Have a go at constructing these shapes by hand, on mathspad and/or on geogebra.
Further Practice
What are the different types of angles you can think of?
Do you know how to measure it using a protractor?
What about drawing them?
If not, click on the hyperlinks above to remind yourself how to. More interactive demonstrations and worksheets can be found on mathopenref here.
You may also wish to try this Snooker Game or Logo Challenges to practise estimating angles. Also practise Estimating Angles and Measuring Angles: on Transum
Consolidate your understanding on measuring and drawing angles by doing the relevant skills practice on DrFrostMaths, CorbettMaths, MyiMaths and Eedi. Watch any video and/or go through any online lesson as you see fit.
Extension
Have a go at Euclid: The Game. If you enjoy it, you can also get it Euclidea on your phone.
How do you construct 30, 45, 69, 90 degree angles with just a compass and not a protractor? Find out how by clicking here (mathopenref).
Look at the picture on the right, can you explain why?