The Art of Angles

Stages

1. Playing with Polygons

EXPLORE

Suggested Learning Intentions

  • To develop vocabulary about the angle and side properties of triangles and quadrilaterals
  • To classify triangles according to their side and angle properties and describe quadrilaterals

Sample Success Criteria

  • I can describe a polygon using its properties
  • I can use side and angle properties of triangles and quadrilaterals to describe their differences and similarities
  • I can identify polygons and non-polygons within a two-dimensional image
  • I can explain and justify my thinking using manipulatives
EXPLORE

2. Assemble your Angles

EXPLORE

Suggested Learning Intentions

  • To investigate the way that angles in shapes relate to each other
  • To manipulate angles to improve understanding of angle properties in polygons

Sample Success Criteria

  • I can estimate the size of an angle when turning an object
  • I can identify polygons and angles made when lines cross
  • I can prove the sum of the internal angles in a triangle or quadrilateral
  • I can use a range of manipulatives to explain and justify my solutions 
EXPLORE

3. Dancing Between the Lines

EXPLORE

Suggested Learning Intentions

  • To explore the properties of angles where a transversal crosses parallel lines
  • To make connections between line and angle forms in artwork and line and angle properties in mathematics
  • To use properties of lines and angles to discuss visual elements in artworks

Sample Success Criteria

  • I can identify angles using mathematical language used in relation to a transversal crossing parallel lines
  • I can use technology to create visual representations of angle problems
  • I can identify parallel lines in two-dimensional images
EXPLORE

4. Untangle Polygons and Angles

EXPLORE

Suggested Learning Intentions

  • To develop logical reasoning to solve problems involving lines, angles, and polygons
  • To articulate mathematical reasoning through providing justifications of steps in problem solving
  • To use visual representations to support problem solving

Sample Success Criteria

  • I can provide justifications for mathematical reasoning when problem solving
  • I can use a range of manipulatives to explain and justify my thinking
  • I can match justifications to a visual representation of a problem
  • I can reference mathematical facts when proving an answer in problem solving
EXPLORE
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