The following are highlights of student learning in Grade 5. They are provided to give teachers and parents a quick overview of the mathematical knowledge and skills that students are expected to acquire in each strand in this grade. The expectations on the pages that follow outline the required knowledge and skills in detail and provide information about the ways in which students are expected to demonstrate their learning, how deeply they will explore concepts and at what level of complexity they will perform procedures, and the mathematical processes they will learn and apply throughout the grade.
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: collecting and organizing discrete and continuous data; displaying data using broken-line graphs; sampling data from a population; understanding mean; comparing two related sets of data; representing probability using fractions
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: collecting and organizing discrete and continuous data; displaying data using broken-line graphs; sampling data from a population; understanding mean; comparing two related sets of data; representing probability using fractions