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Math Units

Number Sense

1. Represent and describe whole numbers to 1 000 000.

2. Use estimation strategies in problem-solving contexts .

3. Apply mental mathematics strategies and number properties in order to understand and recall basic multiplication facts (multiplication tables) to 81 and related division facts.

4. Apply mental mathematics strategies for multiplication.

5. Demonstrate, with and without concrete materials, an understanding of multiplication (2-digit by 2-digit) to solve problems.

6. Demonstrate, with and without concrete materials, an understanding of division (3-digit by 1-digit), and interpret remainders to solve problems.

7. Demonstrate an understanding of fractions by using concrete, pictorial and symbolic representations to: • create sets of equivalent fractions • compare fractions with like and unlike denominators.

8. Describe and represent decimals (tenths, hundredths, thousandths), concretely, pictorially and symbolically.

9. Relate decimals to fractions and fractions to decimals (to thousandths).

10. Compare and order decimals (to thousandths) by using: • benchmarks • place value • equivalent decimals

11. Demonstrate an understanding of addition and subtraction of decimals (limited to thousandths).

Patterns and Relations

1. Determine the pattern rule to make predictions about subsequent elements.

2. Express a given problem as an equation in which a letter variable is used to represent an unknown number (limited to whole numbers).

3. Solve problems involving single-variable, one-step equations with whole number coefficients and whole number solutions

Shape and Space (Measurement)

1. Identify 90º angles.

2. Design and construct different rectangles, given either perimeter or area, or both (whole numbers), and make generalizations.

3. Demonstrate an understanding of measuring length (mm) by: • selecting and justifying referents for the unit mm • modelling and describing the relationship between mm and cm units, and between mm and m units.

4. Demonstrate an understanding of volume by: • selecting and justifying referents for cm3 or m3 units • estimating volume, using referents for cm3 or m3 • measuring and recording volume (cm3 or m3 ) • constructing right rectangular prisms for a given volume.

5. Demonstrate an understanding of capacity by: • describing the relationship between mL and L • selecting and justifying referents for mL or L units • estimating capacity, using referents for mL or L • measuring and recording capacity (mL or L).

Shape and Space (2D and 3D Shapes)

6. Describe and provide examples of edges and faces of 3-D objects, and sides of 2-D shapes that are: • parallel • intersecting • perpendicular • vertical • horizontal.

7. Identify and sort quadrilaterals, including: • rectangles • squares • trapezoids • parallelograms • rhombuses according to their attributes.

Shape and Space (Transformations)

8. Identify and describe a single transformation, including a translation, rotation and reflection of 2-D shapes.

9. Perform, concretely, a single transformation (translation, rotation or reflection) of a 2-D shape, and draw the image.

Statistics and Probability (Data Analysis)

1. Differentiate between first-hand and second-hand data.

2. Construct and interpret double bar graphs to draw conclusions.

Statistics and Probability (Chance and Uncertainty)

3. Describe the likelihood of a single outcome occurring, using words such as: • impossible • possible • certain.

4. Compare the likelihood of two possible outcomes occurring, using words such as: • less likely • equally likely • more likely.

Math Program of Studies

Here is a link for the Grade 5 Parent Overview of Mathematics Program of Studies.