Geometry
Lines, Lines, and more Lines
Quadrilaterals
Quadrilateral means 4 sides.
Here is a great website for more information: https://www.mathsisfun.com/quadrilaterals.html
Edges, Faces, Vertices
Here is another website to see it: www.mathsisfun.com/geometry/vertices-faces-edges.html
Shapes verse Objects
Shapes are 2 dimensional while objects are 3 dimensional.
Shapes include: Triangles, circles, squares, rectangles, lines, pentagons, hexagons, heptagon, octagon, nonagon, decagon, etc.
Objects are usually pyramids or prisms with shapes as their base.
Shapes include: Triangles, circles, squares, rectangles, lines, pentagons, hexagons, heptagon, octagon, nonagon, decagon, etc.
Objects are usually pyramids or prisms with shapes as their base.
Shapes!!!
Objects!!!
Pyramid verse Prism
Pyramid
One base shape with each vertices meeting at one point, the apex. |
Prism
Two base shapes with the vertices of one shape meeting with the identical shape's vertices. |
Examples of PyramidsHere is website to help you understand pyramids.
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Examples of PrismsHere is website to help you understand prisms.
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Program of Studies
Geometry: Shapes are defined and related by geometric attributes.
In what ways might symmetry characterize shape?
Students investigate symmetry as a geometric property.
Knowledge
-A 2-D shape has reflection symmetry if there is a straight line over which the shape reflects and the two halves exactly match.
-A 3-D shape has reflection symmetry if there is a plane over which the shape reflects and the two halves exactly match. -A 2-D shape has rotation symmetry if it exactly overlaps itself one or more times within a rotation of less than 360° around its centre point. -Order of rotation symmetry describes the number of times a shape coincides with itself within a rotation of 360° around its centre point. -Central symmetry is the rotational symmetry by 180°. -The straight line that connects a point with its image in the central symmetry passes through the centre of rotation. -Symmetry can be found in First Nations, Métis, and Inuit designs, such as basket weaving wampum belts quilts First Nations beadwork, Inuit beadwork, or Métis floral beadwork architecture such as tipis or longhouses -In a regular polygon, the number of sides equals the number of reflection symmetries and the number of rotation symmetries. A circle has infinitely many reflection and rotation symmetries. |
Understandings
Symmetry is a property of shapes.
Symmetry can be created and can occur in nature. Symmetry is related to other geometric properties. |
Skills and Procedures
Recognize symmetry in nature.
Recognize symmetry in First Nations, Métis, and Inuit designs. Investigate symmetry in familiar 2-D and 3-D shapes using hands-on materials or digital applications. Show the line of symmetry of a 2-D shape. Describe the order of rotation symmetry of a 2-D shape. Compare the number of reflection and rotation symmetries of a 2-D shape to the number of equal sides and angles. Classify 2-D shapes according to the number of reflection or rotation symmetries. |