Mathematics

 

“The laws of nature are but the mathematical thoughts of God”

― Euclid

Grade 3

 

Number Sense and Numeration

• Representing and ordering numbers to 1000.

• Representing money amounts to $10.

• Decomposing and composing three-digit numbers.

• Investigating fractions of a set.

• Counting by 1’s, 2’s, 5’s, 10’s, 25’s, and 100’s.

• Adding and subtracting three-digit numbers in a variety of ways.

• Relating one-digit multiplication, and division by one-digit divisors, to real-life situations.

Measurement

• Measuring distance using kilometres.

• Telling time to the nearest 5 minutes.

• Identifying temperature benchmarks.

• Measuring perimeter using standard units.

• Measuring mass in kilograms and capacity in litres.

• Measuring area using grid paper.

• Comparing the length, mass, and capacity of objects using standard units.

• Relating minutes to hours, hours to days, days to weeks, and weeks to years.

Geometry and Spatial Sense

• Using a reference tool to identify right angles and to compare angles with a right angle.

• Classifying two-dimensional shapes by geometric properties (number of sides and angles).

• Classifying three-dimensional figures by geometric properties (number of faces, edges, and vertices).

• Relating different types of quadrilaterals.

• Naming prisms and pyramids.

• Identifying congruent shapes.

• Describing movement on a grid map.

• Recognizing transformations.

Patterning and Algebra

• Creating and extending growing and shrinking patterns.

• Representing geometric patterns with a number sequence, a number line, and a bar graph.

• Determining the missing numbers in equations involving addition and subtraction of one- and two-digit numbers.

• Investigating the properties of zero and one in multiplication.

Data Management and Probability

• Organizing objects into categories using two or more attributes.

• Collecting and organizing categorical and discrete data.

• Reading and displaying data using vertical and horizontal bar graphs.

• Understanding mode.

• Predicting the frequency of an outcome.

• Relating fair games to equally likely events.

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Grades 4

 

Number Sense and Numeration

• Representing and ordering numbers to 10 000.

• Representing money amounts to $100.

• Developing the concept of place value to tenths.

• Representing and comparing fractions using fractional notation.

• Adding and subtracting three-digit numbers in a variety of ways.

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

• Relating halves, fifths, and tenths to decimals

Measurement

• Measuring length using millimetres.

• Measuring time intervals to the nearest minute.

• Determining elapsed time.

• Measuring mass in grams and capacity in millilitres.

• Measuring volume using concrete materials.

• Determining area and perimeter relationships for rectangles.

• Comparing the mass and capacity of objects using standard units.

• Relating years to decades and decades to centuries.

Geometry and Spatial Sense

• Identifying geometric properties of parallelograms.

• Classifying two-dimensional shapes by geometric properties (number of sides, angles, and symmetry).

• Identifying a straight angle, a right angle, and half a right angle.

• Classifying prisms and pyramids by geometric properties.

• Constructing three-dimensional figures in a variety of ways.

• Describing location using a grid system.

• Performing and describing reflections.

Patterning and Algebra

• Relating the term and the term number in a numeric sequence.

• Generating patterns that involve addition, subtraction,multiplication, and reflections.

• Determining the missing numbers in equations involving multiplication of one- and two-digit numbers.

• Using the commutative and distributive properties to facilitate computation.

Data Management and Probability

• Collecting and organizing discrete data.

• Reading and displaying data using stem-and-leaf plots and double bar graphs.

• Understanding median.

• Comparing two related sets of data.

• Predicting the frequency of an outcome.

• Investigating how the number of repetitions of a probability experiment affects the conclusion drawn.

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