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Measurement and Geometry 66_Problem Solving
(Year 6) ACMMG141, NSW MA3-16MG
Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown angles.
PROBLEM SOLVING
Problems allow children to investigate concepts in new and varied situations. Any problem worth solving takes time and effort
– that’s why they’re called problems!
Problems are designed to develop and use higher order thinking. Allowing children to grapple with problems, providing minimal
support by asking strategic questions, is key. Differentiating problems allows children to solve simpler problems, before solving
more complex problems on a concept.
Problems may not always be solved the first time they are presented. Returning to a problem after further learning, develops
both resilience and increased confidence as children take the necessary time and input the necessary effort.
After solving problems, children also create their own problems.
The formulation of a problem is far
more essential than its solution,
which may be merely a matter of
mathematical or experimental skills.
It’s not that I’m
so smart
– I just stay with
problems longer.
The problem solving steps may be followed to solve problems.

Toby measured an angle on a straight line as 125ᴼ. What is the size of the remaining angle?

There were 3 angles on a straight line. The sum of two of the angles is 132ᴼ. What is the size of the remaining angle?

Tim measured an angle in a right angle as 65ᴼ. What is the size of the remaining angle?

There were 3 angles in a right angle. The sum of two of the angles is 78ᴼ. What is the size of the remaining angle?

Bette measured an angle in a revolution as 65ᴼ. What is the size of the remaining angle?

There were 3 angles in a revolution. The sum of two of the angles is 278ᴼ. What is the size of the remaining angle?

Alex tried to turn a revolution in a single leap. He only managed to turn 325ᴼ. How many more degrees did he need to turn to turn a revolution?

During a single leap, a dancer made 2 and a half full rotations of his body. By how many degrees did the dancer rotate his body in this leap?
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
Toby drew two intersecting lines and measured one of the angles. It was 65ᴼ. What is the size of the vertically opposite angle?

Bobby drew two intersecting lines and measured one of the angles. It was 65ᴼ. What is the size of the vertically adjacent angle on the straight
line?

Bette drew two intersecting lines and measured one of the angles. It was 65ᴼ. What was the size of the other 3 angles?

Barbara drew two intersecting lines and measured one of the angles. It was 65ᴼ. What was the sum of the other angles?

The sum of four angles around a point is 360°. Two of these angles each measure 95ᴼ. What is the size of each of the other two angles?

What is the size of the other angles?

What is the size of the other angles?
110ᴼ
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Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Toby measured an angle on a straight line as 125ᴼ.
What is the size of the remaining angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
There were 3 angles on a straight line.
The sum of two of the angles is 132ᴼ.
What is the size of the remaining angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Tim measured an angle in a right angle as 65ᴼ.
What is the size of the remaining angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
There were 3 angles in a right angle.
The sum of two of the angles is 78ᴼ.
What is the size of the remaining angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Bette measured an angle in a revolution as 65ᴼ.
What is the size of the remaining angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
There were 3 angles in a revolution.
The sum of two of the angles is 278ᴼ.
What is the size of the remaining angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Alex tried to turn a revolution in a single leap.
He only managed to turn 325ᴼ.
How many more degrees did he need to turn to turn a revolution?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
During a single leap, a dancer made 2 and a half full rotations of his
body.
By how many degrees did the dancer rotate his body in
this leap?
Make up your own problem
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Toby drew two intersecting lines and measured one of the angles.
It was 65ᴼ.
What is the size of the vertically opposite angle?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Bobby drew two intersecting lines and measured one of the
angles.
It was 65ᴼ.
What is the size of the vertically adjacent angle on the
straight line?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Bette drew two intersecting lines and
measured one of the angles.
It was 65ᴼ.
What was the size of the other 3 angles?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
Barbara drew two intersecting lines and
measured one of the angles.
It was 65ᴼ.
What was the sum of the other angles?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
The sum of four angles around a point is 360°.
Two of these angles each measure 95ᴼ.
What is the size of each of the other two angles?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
What is the size of the other angles?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Measurement and Geometry 66 Angles on straight line, at a point, adjacent angles, vertically opposite angles, use the results to find unknown
angles.
What is the size of the other angles?
110ᴼ
Make up your own problem!
http://www.alearningplace.com.au
Problem solving steps (back)
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