Grade 5 Mathematics

In Grade 5 Mathematics, our students continue to develop their understanding of math by exploring numbers and operations found in technology and in the rainforest. They return to construction sites to learn more about geometry and shape, then travel around the planet solving problems with fractions, learning about patterns through music, and exploring measurements in the new wonders of the world. Our students will also continue to learn about budgets in their financial literacy, and how code is controlled in different ways. This course is designed to be 200-300 instructional hours. 

Curriculum Information: Mathematics (2020)

Developed by: D2L

Development Date: 2020

Please note that elementary courses do not have prerequisites, and Ontario schools do not issue transcript credits at the elementary level. All courses are available in the facilitated and independent pathways.



Numbers Up to 100 000  

In the Numbers Up to 100 000 unit, students learn to read and write numbers up to 10 000, explore place value up to 100 000, and represent numbers up to 100 000. Students also compare and order whole numbers and solve problems up to 100 000. 

Multiplication and Division  

In the Multiplication and Division unit, students solve addition and subtraction problems, multiply two-digit numbers, and solve multiplication whole numbers by 0.1 and 0.01 mentally. Students also investigate relationships involving whole number rates, divide with concrete materials and algorithms, and divide three-digit whole numbers with standard algorithms. Students also find the missing number in addition, subtraction, multiplication, and division equations. 


In the Geometry unit, students identify acute, right, obtuse, and straight angles, and measure and construct angles up to 180°. Students identify and classify triangles from their angle and side properties, and they construct triangles. Students identify and construct two-dimensional congruent shapes and draw objects from different views. Furthermore, students plot and read coordinates on a Cartesian plane and identify, describe, and perform transformations on a grid. 

Working with Decimal Numbers  

In the Working with Decimal Numbers unit, students explore place value of decimal numbers and represent, compare, and order decimal numbers. Students round decimal numbers to the nearest tenth. Students show equivalent decimal numbers, and add and subtract decimal numbers. 


In the Fractions unit, students represent proper and improper fractions, represent mixed numbers, convert improper fractions and mixed numbers, and show equivalent fractions. Students also compare proper and improper fractions and compare and order fractions and mixed numbers. Furthermore, students explore equivalent fractions and decimal numbers and investigate the relationship between fractions and decimal numbers. Students add and subtract fractions with like denominators. They multiply and divide whole numbers by fractions. 

Patterning and Algebra  

In this unit, students identify, extend, and create geometric and numeric patterns, and build models from a table to show numeric patterns. Students make tables of values by adding or subtracting a rule in words and make a table of values for a pattern generated by multiplying or dividing. Students also make predictions related to growing and shrinking geometric and numeric patterns. Students extend and create repeating patterns using translation and explore patterns among whole numbers and decimals. Students explore equivalent relationships and evaluate algebraic expressions. They solve inequalities with whole numbers. 


In the coding unit, students learn about conditional students and practice coding using them and other control structures. Students solve problems involving code and read and alter code involving various control structures. 


In the Data unit, students explore samples of larger populations, collect and record data, organize data in charts, tables and graphs, as well as read, interpret, and draw conclusions from data. Students create infographics to represent data. Students calculate the mean, median, and mode and use them to describe data and compare sets of data. To investigate probability, students explore possible outcomes in a probability experiment, represent probability using fractions, and perform a probability experiment. 


In the measurement unit, students estimate and measure the perimeter of polygons, find unknown side lengths, estimate and measure the area of polygons, and create 2D shapes with the same perimeter or area. Students learn how to calculate the area of triangles and parallelograms. Students solve problems by converting metres into centimetres, and converting kilometres into metres. Furthermore, students investigate measuring the mass of an object using the appropriate unit. 

Financial Literacy  

In this unit, students describe how money can be transferred and estimate and calculate the cost of different transactions. Students learn how to design a budget and explore the concepts of credit and debt. Students learn how to use unit rates to find the best value and learn about tax and its applications. 

Socio-Emotional Learning 

Throughout the course, students will be encouraged to build their social emotional learning skills by focusing specifically on their unique understandings and ways of interpreting problems. They will be encouraged to observe how other people solve problems and what they can learn from one another. Students will be given the tools and language to share their mathematical knowledge with others so they can work cooperatively to solve problems in a variety of different ways. 

This course is entirely online and does not require nor rely on any textbook. Students will require the following resources:

  • A scanner, smartphone camera, or similar device to digitize handwritten or hand-drawn work
  • A device to record audio
  • A printer
  • A physical binder, folder, or notebook for offline activities
  • A calculator, protractors, sticky notes, ruler, scissors, glue, dice, cards, coins, grid paper 
  • Dot paper
  • Various household items to complete offline activities

Through a balance of problem-solving and direct instruction, students develop a strong foundation of mathematical processes, knowledge, and skills to apply in real-world contexts. The course engages multiple learning styles by combining technology and offline activities that provide opportunities to develop an understanding of skills and concepts in interactive and concrete ways. The lessons feature a variety of intriguing storylines, videos, graphics, and interactive games to reinforce students’ learning. The activities also build a foundation of mathematical models and strategies that students will use throughout their elementary grades.

The course relies on the assistance of a learning coach who supports young students as they move through the content. The learning coach will be involved in facilitating technical aspects of the course and in participating in discussion-based activities to assist students in developing communication skills.

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