Measurement and Geometry 62_Problem Solving
(YEAR 6) ACMMG143, NSW MA3-8NA
Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to construct shapes.
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.
 Lola placed a dot on the Cartesian plane with 2 positive coordinates. In which quadrant is the dot?
 Betty placed a dot on the Cartesian plane with 2 negative coordinates. In which quadrant is the dot?
 Jon placed a dot on the Cartesian plane with a positive x coordinate and a negative y coordinate. In which quadrant is the dot?
 Brenda placed a dot on the Cartesian plane with a positive y coordinate and a negative x coordinate. In which quadrant is the dot?
 Karen created a quadrilateral using coordinates in all 4 quadrants of a Cartesian plane. What could the coordinates be?
 Karen created a shape using coordinates in all 4 quadrants of a Cartesian plane. What could the coordinates be?
 Karen created a shape using coordinates in 3 of the quadrants of a Cartesian plane. What could the coordinates be?
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Email: [email protected]
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1
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Lola placed a dot on the Cartesian plane with 2 positive
coordinates.
In which quadrant is the dot?
Make up your own problem!
Website: http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Betty placed a dot on the Cartesian plane with 2
negative coordinates.
In which quadrant is the dot?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Jon placed a dot on the Cartesian plane with a
positive x coordinate and a negative y coordinate.
In which quadrant is the dot?
Make up your own problem!
Website: http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Brenda placed a dot on the Cartesian plane with a
positive y coordinate and a negative x coordinate.
In which quadrant is the dot?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Karen created a quadrilateral using coordinates in all 4
quadrants of a Cartesian plane.
What could the coordinates be?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Karen created a shape using coordinates in all 4
quadrants of a Cartesian plane.
What could the coordinates be?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 62 Explain the Cartesian plane coordinate system using all 4 quadrants to describe location and to
construct shapes.
Karen created a shape using coordinates in 3 of the
quadrants of a Cartesian plane.
What could the coordinates be?
Make up your own problem!
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place