The Grade 4 Spatial Sense curriculum in the Kawartha Pine Ridge District School Board includes two main clusters of learning: Geometric Reasoning and Location and Movement. The focus is on helping students describe and represent shape, location, and movement by applying geometric properties and spatial relationships to navigate the world around them.
Key Concepts:
Identifying geometric properties of shapes.
Constructing and describing two-dimensional shapes and three-dimensional objects.
Specific Expectations:
Identifying Properties:
Students learn to identify geometric properties of triangles and construct different types of triangles when given side or angle measurements.
Congruent Shapes:
Students identify and construct congruent triangles, rectangles, and parallelograms.
They also identify congruent lengths and angles in two-dimensional shapes.
Sample Problem:
Problem: Construct a triangle with one right angle and two sides of equal length.
Solution: Use a ruler and protractor to draw a right triangle where the two legs (sides adjacent to the right angle) are of equal length.
Sample Video:
Key Concepts:
Plotting and reading coordinates in the first quadrant of a Cartesian plane.
Describing translations and movements.
Specific Expectations:
Coordinates and Translations:
Students learn to plot and read coordinates in the first quadrant of a Cartesian plane.
They describe translations that move a point from one coordinate to another.
Maps and Directions:
Students create and interpret simple maps of familiar places.
They give and follow multi-step instructions involving movement from one location to another, including distances and turns.
Sample Problem:
Problem: Plot the points (3, 4) and (6, 7) on a Cartesian plane. Describe the translation needed to move the point (3, 4) to (6, 7).
Solution: Move 3 units to the right and 3 units up.
Sample Video:
Key Concepts:
Comparing, estimating, and determining measurements such as volume and capacity.
Specific Expectations:
Volume and Surface Area:
Students represent cylinders as nets and determine their surface area by adding the areas of their parts.
They show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height.
Sample Problem:
Problem: Calculate the volume of a cylinder with a base area of 20 cm² and a height of 10 cm.
Solution: Volume = base area × height = 20 cm² × 10 cm = 200 cm³.
Sample Video:
By focusing on these key areas, the Grade 4 Spatial Sense curriculum aims to build a solid foundation in geometric reasoning, spatial awareness, and measurement skills, enabling students to apply these concepts in various real-world contexts.
Note: For more detailed information, refer to the full curriculum document from the Kawartha Pine Ridge District School Board.