Geometry


ANGLES AND SHAPES

BIG IDEAS:

(taken from “Big Ideas by Dr. Small”):
  • Some attributes of shapes are quantitative, others are qualitative.
  • Geometric shapes can be classified and sorted according to attributes.
  • The measurement of an angle is defined by how much one arm turns around a vertex relative to the other arm.

STUDENT LEARNING GOALS:

GOAL: I can classify angles and construct them up to 90°
GOAL: I can classify triangles and other polygons based on both angles and side lengths.
GOAL: I can construct a triangle and other polygons based on specified criteria.
GOAL: I can classifying and draw views of a variety of 3D shapes. 

CURRICULUM EXPECTATIONS:

  • sort and classify quadrilaterals by geometric properties related to symmetry, angles, and sides, through investigation using a variety of tools (e.g., geoboard, dynamic geometry software) and strategies (e.g., using charts, using Venn diagrams);
  • sort polygons according to the number of lines of symmetry and the order of rotational symmetry, through investigation using a variety of tools (e.g., tracing paper, dynamic geometry software, Mira)
  • measure and construct angles up to 180° using a protractor, and classify them as acute, right, obtuse, or straight angles;
  • construct polygons using a variety of tools, given angle and side measurements
  • build three-dimensional models using connecting cubes, given isometric sketches or different views (i.e., top, side, front) of the structure
  • sketch, using a variety of tools (e.g., isometric dot paper, dynamic geometry software), isometric perspectives and different views (i.e., top, side, front) of three-dimensional figures built with interlocking cubes.

LOCATION AND TRANSFORMATIONS

BIG IDEAS

(taken from “Big Ideas by Dr. Small”):
  1. Locations can be described using maps, using length and angle measurements, and using coordinate grids.
  2. There are three motions, or transformations, that change the position of a shape or possibly its orientation, but do not change its size and shape.

STUDENT LEARNING GOALS

GOAL: I can locate and plot objects using different grid systems (cardinal directions, coordinates)
GOAL: I can describe and perform transformations (e.g. reflections and translations)

CURRICULUM EXPECTATIONS:

  • explain how a coordinate system represents location, and plot points in the first quadrant of a Cartesian coordinate plane
  • identify, perform, and describe, through investigation using a variety of tools (e.g., grid paper, tissue paper, protractor, computer technology), rotations of 180o and clockwise and counterclockwise rotations of 90°, with the centre of rotation inside or outside the shape
  • create and analyse designs made by reflecting, translating, and/or rotating a shape, or shapes, by 90o or 180o

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