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- Year 2 -- Year 2 -The Australian Curriculum:
Mathematics
Measurement and Geometry
Location and Transformation –
Identify and describe half and quarter turns
(ACMMG046)
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Geometry
Consolidated by two Greek words
‘geo’ – meaning earth, and
‘metron’ – meaning measure
(Booker, Bond, Sparrow, Bond, 2010, p. 395)
Over time geometry is much more than
‘earth measuring’, today it is regarded to
be the ‘mathematics of space’
(Booker et al.,2010)
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Location and Transformation
Location in geometry terms –
knowing where we and other
objects are.
(Siemon et al.)
Transformation is the process by
which an object or figure is
changed in shape, size or position
(ACARA)
What is it…
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Foundation Year, Year 1,
Year 2 and Year 3
• By the end of Foundation Year learners are
able to describe position and movement
• By the end of year one learners aim to give
and follow directions to familiar locations
• By the end of year two, learners aim to
interpret simple maps of familiar locations and
identify the relative positions of key features,
investigate the effect of one step slide flips and
identify and describe half and quarter turns
• In year 3 learners go on to create and interpret
simple grid maps to show position and
pathways, and identify symmetry in the
environment
(ACARA, Scope and Sequence, 2012)
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- Classroom issues
- Understanding position and
orientation – quarter and half turns
(the concept of angles)
(Booker et al., 2010, p.466)
Understanding language of position
such as, ‘above’ and ‘next to’ have a
range of interpretations
(Booker et al., 2010, p.466)
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Treasure
Island
Maths Chest• Word wall language cards
• 6 x Quarter Turn Half Turn Shading sets
• 6 x Quarter Turn Half Turn Treasure
Hunting game cards, markers and dice
• 6 x Geometry Bingo sets
• 24 x Transformation language
bookmarks
What is
included
…
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Geometry Word Wall
• Initial work with young children revolves
around the use and understanding of the
many words associated with location.
Children need to be introduced to and use
everyday language for position such as
beside, behind, in front, next to, on top,
under and over of concepts
(Siemon, et al., 2011, p. 465 & Booker et al, 2010 p. 465).
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Quarter Turn Half Turn
Shading sets
• Excellent in establishing prior knowledge of
quarter and half turns
• When teachers link new information to the
student's prior knowledge, they activate
the student's interest and curiosity, and
infuse instruction with a sense of purpose
(Moses, 1990,)
• Information gathered will inform future
lesson planning
• Students work individually to complete
• Can use to scaffold learners requiring
additional exposure to the concept of
quarter and half turn as the unit
progresses
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Quarter Turn Half Turn
Treasure Hunt
• Rules of the game
• Incorporating hands on educational games in
the classroom provide a fun and engaging
avenue for learning in the classroom
(Washington, 2010)
The only way to learn
maths is to do maths
Paul Halmos
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Geometry Bingo
• This activity is designed to provide the
opportunity for learners to engage with the
language of geometry
• The language of geometry plays a vital
role in developing spatial sense.
Language has a dual function for children
learning shape and space ideas. It allows
them to describe concepts and
communicate ideas and findings so that
others might hear their thinking and
reasoning (and vice versa) and helps ideas
to form in their minds as they grapple with
words and images.
(Booker et al., 2010, p.466)
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Digital Resource
• Thorough research has identified a digital
resource to assist learners in being hands
on with the concept of quarter and half turn
in an online simulation environment
Aris Tetris
A digital version of the classic puzzle
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Transformation
Bookmark
• A handy resource for students
to have in their desk for easy
reference of the concepts of
‘enlargement’, reflection,
rotation and translation.
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Summing Up
• A major aim of the study of geometrics is to
develop an appreciation of its place
• Not a matter of passing on information
• Assist children to develop processes of
observation, analysis, description,
classification, visualisation, representation,
exploration and inference.
• Teachers need to listen to and observe
children carefully so they become aware of
how children learn
• Will enable introduction to appropriate
activities suited to each individual’s level of
functioning
(Booker et al., 2010, p.469)
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• Treasure Island Maths Chest will be
an extremely useful resource as you
implement it into your Year 2
classroom for the study of Location
and Transformation.
• The Treasure chest is available
today for $29.99, this item is on
sale now, come up and get
treasure now!
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References
Australian Curriculum Assessment and Reporting Authority (ACARA).
(2012). The Australian curriculum: Mathematics scope and sequence:
Foundation to year 6. Retrieved from
http://www.australiancurriculumedu.au/Download
Bana, J., Marhsall, L., & Swan, P. (2009). Maths terms and tables.
Greenwood, Western Australia: R.I.C Publications.
Booker, G., Bond, D., Sparrow, L., & Swan, P. (2010). Teaching primary
mathematics (4th ed.). Frenchs Forrest: NSW, Pearson Australia.
Hamos, P. (n.d.) NRICH: Teacher guide. Retrieved from
http://nrich.maths.org/teachers
Moses, A. (1990). Restructuring to promote learning. Retrieved from
http://www.ncrel.org/sdrs/areas/issues/students/learning/lr100.htm
Siemon, D., Beswick, K., Brady, K., Clark, J., Faraher, R., & Warren, E.
(2011). Teaching mathematics foundations to middle years. South
Melbourne, Victoria: Oxford University Press.
Washington, E. (2010). Why we should incorporate educational games into
the classroom. Retrieved from http://ezinearticles.com/?Why-We-
Should-Incorporate-Educational-Games-Into-the-
Classroom&id=5381227
