Strand Overviews
Spatial Sense – Junior Division
OVERALL EXPECTATION E1.
describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them
| Grade 4 | Grade 5 | Grade 6 |
|---|---|---|
| Geometric Reasoning | title |
title |
| E1.1 identify geometric properties of rectangles, including the number of right angles, parallel and perpendicular sides, and lines of symmetry | E1.1 identify geometric properties of triangles, and construct different types of triangles when given side or angle measurements | E1.1 create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry |
| E1.2 identify and construct congruent triangles, rectangles, and parallelograms | E1.2 construct three-dimensional objects when given their top, front, and side views | |
| E1.3 draw top, front, and side views of objects, and match drawings with objects | ||
| Location and Movement | title |
title |
| E1.2 plot and read coordinates in the first quadrant of a Cartesian plane, and describe the translations that move a point from one coordinate to another | E1.4 plot and read coordinates in the first quadrant of a Cartesian plane using various scales, and describe the translations that move a point from one coordinate to another | E1.3 plot and read coordinates in all four quadrants of a Cartesian plane, and describe the translations that move a point from one coordinate to another |
| E1.3 describe and perform translations and reflections on a grid, and predict the results of these transformations | E1.5 describe and perform translations, reflections, and rotations up to 180° on a grid, and predict the results of these transformations | E1.4 describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations |
OVERALL EXPECTATION E2.
compare, estimate, and determine measurements in various contexts
| Grade 4 | Grade 5 | Grade 6 |
|---|---|---|
| The Metric System | title |
title |
| E2.1 explain the relationships between grams and kilograms as metric units of mass, and between litres and millilitres as metric units of capacity, and use benchmarks for these units to estimate mass and capacity | E2.1 use appropriate metric units to estimate and measure length, area, mass, and capacity | E2.1 measure length, area, mass, and capacity using the appropriate metric units, and solve problems that require converting smaller units to larger ones and vice versa |
| E2.2 use metric prefixes to describe the relative size of different metric units, and choose appropriate units and tools to measure length, mass, and capacity | E2.2 solve problems that involve converting larger metric units into smaller ones, and describe the base ten relationships among metric units | |
| Time | title |
title |
| E2.3 solve problems involving elapsed time by applying the relationships between different units of time | ||
| Angles | title |
title |
| E2.4 identify angles and classify them as right, straight, acute, or obtuse | E2.3 compare angles and determine their relative size by matching them and by measuring them using appropriate non-standard units | E2.2 use a protractor to measure and construct angles up to 360°, and state the relationship between angles that are measured clockwise and those that are measured counterclockwise |
| E2.4 explain how protractors work, use them to measure and construct angles up to 180°, and use benchmark angles to estimate the size of other angles | E2.3 use the properties of supplementary angles, complementary angles, opposite angles, and interior and exterior angles to solve for unknown angle measures | |
| Area | title |
title |
| E2.5 use the row and column structure of an array to measure the areas of rectangles and to show that the area of any rectangle can be found by multiplying its side lengths | E2.5 use the area relationships among rectangles, parallelograms, and triangles to develop the formulas for the area of a parallelogram and the area of a triangle, and solve related problems | E2.4 determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas |
| E2.6 apply the formula for the area of a rectangle to find the unknown measurement when given two of the three | E2.6 show that two-dimensional shapes with the same area can have different perimeters, and solve related problems | E2.5 create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas |
| E2.6 determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together |