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.
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.