Shape and Space

Achievement Indicators

Specific Outcome 1

• Provide examples of angles found in the environment.
• Classify a given set of angles according to their measure; e.g., acute, right, obtuse, straight, reflex.
• Sketch 45°, 90° and 180° angles without the use of a protractor, and describe the relationship among them.
• Estimate the measure of an angle, using 45°, 90° and 180° as reference angles.
• Measure, using a protractor, given angles in various orientations.
• Draw and label a specified angle in various orientations, using a protractor.

Specific Outcome 2

• Explain, using models, that the sum of the interior angles of a triangle is the same for all triangles.
• Explain, using models, that the sum of the interior angles of a quadrilateral is the same for all quadrilaterals.

Specific Outcome 3

• Explain, using models, how the perimeter of any polygon can be determined.
• Generalize a rule (formula) for determining the perimeter of polygons, including rectangles and squares.
• Explain, using models, how the area of any rectangle can be determined.
• Generalize a rule (formula) for determining the area of rectangles.
• Explain, using models, how the volume of any right rectangular prism can be determined.
• Generalize a rule (formula) for determining the volume of right rectangular prisms.
• Solve a given problem involving the perimeter of polygons, the area of rectangles and/or the volume of right rectangular prisms.

Achievement Indicators

Specific Outcome 4

• Identify the characteristics of a given set of triangles according to their sides and/or their interior angles.
• Sort a given set of triangles, and explain the sorting rule.
• Identify a specified triangle from a given set of triangles; e.g., isosceles.
• Draw a specified triangle; e.g., scalene.
• Replicate a given triangle in a different orientation, and show that the two are congruent.

Specific Outcome 5

• Sort a given set of 2-D shapes into polygons and non-polygons, and explain the sorting rule.
• Demonstrate congruence (sides to sides and angles to angles) in a regular polygon by superimposing.
• Demonstrate congruence (sides to sides and angles to angles) in a regular polygon by measuring.
• Demonstrate that the sides of a given regular polygon are of the same length and that the angles of a regular polygon are of the same measure.
• Sort a given set of polygons as regular or irregular, and justify the sorting.
• Identify and describe regular and irregular polygons in the environment

Achievement Indicators

Specific Outcome 6

• Demonstrate that a 2-D shape and its transformation image are congruent.
• Model a given set of successive translations, successive rotations or successive reflections of a 2-D shape.
• Model a given combination of two different types of transformations of a 2-D shape.
• Draw and describe a 2-D shape and its image, given a combination of transformations.
• Describe the transformations performed on a 2-D shape to produce a given image.
• Model a given set of successive transformations (translations, rotations and/or reflections) of a 2-D shape.
• Perform and record one or more transformations of a 2-D shape that will result in a given image.

Specific Outcome 7

• Analyze a given design created by transforming one or more 2-D shapes, and identify the original shape(s) and the transformations used to create the design.
• Create a design using one or more 2-D shapes, and describe the transformations used.

Specific Outcome 8

• Label the axes of the first quadrant of a Cartesian plane, and identify the origin.
• Plot a point in the first quadrant of a Cartesian plane, given its ordered pair.
• Match points in the first quadrant of a Cartesian plane with their corresponding ordered pair.
• Plot points in the first quadrant of a Cartesian plane with intervals of 1, 2, 5 or 10 on its axes, given whole number ordered pairs.
• Draw shapes or designs, given ordered pairs, in the first quadrant of a Cartesian plane.
• Determine the distance between points along horizontal and vertical lines in the first quadrant of a Cartesian plane.
• Draw shapes or designs in the first quadrant of a Cartesian plane, and identify the points used to produce them.

Specific Outcome 9

• Identify the coordinates of the vertices of a given 2-D shape (limited to the first quadrant of a Cartesian plane).
• Perform a transformation on a given 2-D shape, and identify the coordinates of the vertices of the image (limited to the first quadrant).
• Describe the positional change of the vertices of a given 2-D shape to the corresponding vertices of its image as a result of a transformation (limited to the first quadrant).

Specific Outcome 9

Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole number vertices).