Mathematics

“It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.”

― Carl  Friedrich Gauss

Mathematics: Grade 5

Number Sense and Numeration

• Representing and ordering numbers to 100 000.

• Representing money amounts to $1000.

• Developing the concept of place value to hundredths.

• Comparing and ordering fractional amounts with like denominators.

• Adding and subtracting decimal amounts to hundredths.

• Multiplying two-digit whole numbers by two-digit whole numbers.

• Dividing three-digit whole numbers by one-digit whole numbers.

• Relating simple fractions to decimals.

Measurement

• Measuring time intervals to the nearest second.

• Determining elapsed time.

• Measuring temperature.

• Converting from metres to centimetres and from kilometres to metres

• Relating the 12-hour clock to the 24-hour clock

• Developing and applying area and perimeter relationships for a rectangle

• Relating capacity and volume.

• Developing and applying the volume relationship for a right rectangular prism.

Geometry and Spatial Sense

• Distinguishing among polygons and among prisms.

• Identifying acute, right, obtuse, and straight angles.

• Measuring angles to 90° with a protractor.

• Constructing triangles.

• Constructing nets of prisms and pyramids.

• Locating objects using the cardinal directions.

• Performing and describing translations.

Patterning and Algebra

• Representing a pattern using a table of values.

• Predicting terms in a pattern.

• Determining the missing numbers in equations involving addition, subtraction, multiplication, or division and one- or two-digit numbers.

• Investigating variables as unknown quantities.

• Demonstrating equality using multiplication or division in equations with unknown quantities on both sides.

Data Management and Probability

• Representing and ordering numbers to 1 000 000.

• Developing the concept of place value to thousandths.

• Comparing and ordering fractional amounts with unlike denominators.

• Estimating 10%, 25%, 50%, and 75% of a quantity; adding and subtracting decimal amounts to thousandths.

• Multiplying and dividing four-digit whole numbers by two-digit whole numbers.

• Multiplying and dividing decimals to tenths by whole numbers and two-digit by two-digit whole numbers.

• Dividing three-digit whole numbers by one-digit.

• Whole numbers.

• Applying order of operations in expressions without brackets.

• Relating simple fractions, decimals, and percents.

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Mathematics: Grade 6

Number Sense and Numeration

• Representing and ordering numbers to 1 000 000.

• Developing the concept of place value to thousandths.

• Comparing and ordering fractional amounts with unlike denominators.

• Estimating 10%, 25%, 50%, and 75% of a quantity.

• Adding and subtracting decimal amounts to thousandths.

• Multiplying and dividing four-digit whole numbers by two-digit whole numbers.

• Multiplying and dividing decimals to tenths by whole numbers and two-digit by two-digit whole numbers.

• Dividing three-digit whole numbers by one-digit whole numbers.

• Applying order of operations in expressions without brackets.

• Relating simple fractions, decimals, and percents.

Measurement

• Measuring quantities using metric units.

• Converting from larger to smaller metric units, including square metres to square centimetres.

• Developing and applying area relationships for a parallelogram and a triangle.

• Developing and applying the volume relationships for a triangular prism.

• Determining and applying surface area relationships for rectangular and triangular prisms.

• Relating square metres and square centimetres.

Geometry and Spatial Sense

• Classifying quadrilaterals by geometric properties.

• Sorting polygons by lines of symmetry and by rotational symmetry.

• Measuring angles to 180° with a protractor.

• Constructing polygons; representing figures using views and isometric sketches.

• Performing and describing rotations.

• Plotting points in the first quadrant.

Patterning and Algebra

• Representing patterns using ordered pairs and graphs.

• Describing pattern rules in words.

• Calculating any term when given the term number.

• Investigating variables as changing quantities.

• Solving equations using concrete materials and guess and check.

Data Management and Probability

• Collecting and organizing discrete and continuous data.

• Displaying data using continuous line graphs.

• Selecting appropriate graphical representations.

• Using continuous line graphs and mean to compare sets of data.

• Finding theoretical probabilities.

• Predicting the frequency of an outcome based on the theoretical probability.

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