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Transcript
STRAND:
Geometry and Measurement
LEVEL:
5
In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically.
They will solve problems and model situations that require them to:
GM4-5: Identify classes of two- and
three-dimensional shapes by their
geometric properties.
GM5-5: Deduce the angle properties of intersecting and
parallel lines and the angle properties of polygons and apply
these properties.
GM6-4: Deduce and apply
the angle properties related
to circles.
LEARNING INTENTION:
SUCCESS CRITERIA: Know, understand and do.
I am learning to deduce and apply the angle properties of intersecting lines.
I am learning to deduce and apply the angle properties of parallel lines (with a
transversal).
I am learning to deduce and apply the angle properties of polygons.
I am able to find the unknown angle of intersecting lines.
I am able to find the unknown angle of parallel lines.
I am able to give the correct geometric reason for finding the unknown angle.
I can correctly find the unknown angles in polygons.
I can use the sum of the interior angles rule to find unknown angles.
I can use the sum of the exterior angles rule to find unknown angles.
PRIOR KNOWLEDGE: GM4-5
LINKED OBJECTIVES: GM5-6
VOCABULARY: parallel, intersecting, transversal, polygons, interior, exterior, sum, vertically opposite, alternate, co-interior, corresponding,
symmetry, translation, rotation, regular, irregular, supplementary, complementary
DIAGNOSTIC SNAPSHOT:
GM5-5: Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and
apply these properties.
KEY COMPETENCIES:
Thinking Relating to others Using language, symbols and texts Managing self Participating and contributing
INTRODUCING:
 Angles at a point
 Angles on a straight line
 Vertically opposite angles
Draw intersecting (and parallel) lines
and measure angles.
EXPLORING:
 Angle properties in parallel
lines
 The sum of the exterior angles
of a polygon
*angles in “Maths and learning through
language”
*sharp corners “figure it out geometry”
EXTENDING:
 Deducing the rule for finding
the interior angle sum of a
polygon
 Finding an unknown angle
using at least 2 reasons
*angle statements in “Maths and
learning through language”