Folding Paper
Introduction
You will be finding different angles in this lesson.
Take a piece of paper, fold it twice along the red dotted lines.
With a protractor measure the angle "a" and "b".
Now without a protractor, can you calculate ALL the other angles?
Make sure you label your angles AND lay out your working carefully.
Check your answers are correct by measuring them.
Support
If you need to, you are encouraged to look at the relevant skills on DrFrostMaths, CorbettMaths, MyiMaths and Eedi. Watch any video and/or go through any online lesson as you see fit. The skills that you will need are:
K103: "Angles on a line."
K104: "Angles about a point."
K107: "Angles in a triangle."
K108: "Angles in a triangle where one side is extended."
K307: "Vertically opposite angles."
K309: "Angles in a quadrilateral."
Practice
Now repeat the above by folding another piece of paper twice slightly differently (see the right).
What is the least number of angles you need to measure in order to find what ALL the other angles are?
Choose different ones to measure than the last question.
Calculate ALL the other angles.
Check your answers are correct by measuring them
Parallel lines
Look here at the angles with parallel lines. Move the red dots about, what rules can you deduce with parallel lines?
Now take a look at the picture on the right. If the red-dotted angle is 60 degrees. What are ALL the other angles?
Make sure you label your angles AND lay out your working carefully.
Support
If you need to, you are encouraged to look at the relevant skills on DrFrostMaths, CorbettMaths and MyiMaths. Watch any video and/or go through any online lesson as you see fit. The skills that you will need are:
K303: "Identify pairs of perpendicular and parallel lines."
K304: "Recognise alternate, corresponding and cointerior (allied) angles."
K305: "Alternate angles on parallel lines."
K306: "Corresponding angles on parallel lines."
K308: "Cointerior (allied) angles on parallel lines."
Practice
Without measuring at all, what are ALL the angles in the hexagon on the right?
Further Practice
On top of consolidating your understanding of the relevant skills on DrFrostMaths, CorbettMaths, MyiMaths and Eedi, here are some further self-marked practices on transum:
Angle Theorems - this is not a practice exercise, it simply lists out all the theorems you need to know. You will learn about the the last 2 in Year 8.
If you would like a print out worksheet on angles with parallel lines, then try the one below:
Parallel Lines.pdfExtension
Transum
Try these two more challenging self-marked activities on transum:
Angles Mixed - this is as an extension as some levels include contents that you will learn in Year 8.
nRich
Here is a collection of activities to do with "angles - points, lines and parallel lines".
Take a look at the challenging problem on the right:
