Measurement and Geometry 38_Problem Solving
(Year 4) ACMMG091, NSW MA2 15MG
Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
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 problem solving steps may be followed to solve problems.

Marjorie drew a picture of a shape that tessellates. What shape could Marjorie have drawn?

Mina wrote a letter with 1 line of symmetry. What letter might she have written?

How many lines of symmetry does this letter have?

Which flag design has exactly 2 lines of symmetry?
H
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Email: [email protected]
Twitter: @learn4teach
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Facebook: A Learning Place

Mary uses tiles of one shape to tile her bathroom floor. The tile tessellates.
Which shaped tile could she use?

Which design has zero lines of symmetry?

Kanye makes each of these designs by using the triangle four times.
Which of Kanye’s designs has only two lines of symmetry?

Donald made this design. He then reflected the design over the line of symmetry to the right.
What will the reflected design look like?
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Marjorie drew a picture of a shape that tessellates.
What shape could Marjorie have drawn?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Mina wrote a letter with 1 line of symmetry.
What letter might she have written?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
How many lines of symmetry does this letter have?
H
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Which flag design has exactly 2 lines of symmetry?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Mary uses tiles of one shape to tile her bathroom
floor.
The tile tessellates.
Which shaped tile could she use?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Which design has zero lines of symmetry?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Kanye makes each of these designs by using the
triangle four times.
Which of Kanye’s designs has only two lines of
symmetry?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
MEASUREMENT AND GEOMETRY 38 Create designs by translating, rotating and reflecting shapes, identifying symmetry and tessellation.
Donald made this design.
He then reflected the design
over the line of symmetry to the right.
What will the reflected design look like?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving Steps (back to Problems)
http://www.alearningplace.com.au
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