Grade 5 – Mathematics

Course Overview

The Grade 5 Mathematics course represents an important stage in students’ mathematical development as they deepen conceptual understanding, strengthen problem solving abilities, and apply mathematical reasoning with greater independence. Building on prior learning, students explore more advanced numerical relationships while developing the confidence to approach increasingly complex challenges.

Mathematics is presented as both a practical and analytical discipline. Through real world contexts such as technology, construction, environmental studies, and financial decision making, students learn to view mathematics as a meaningful tool for interpreting and navigating everyday life.

As learners refine accuracy, flexibility, and strategic thinking, they become more capable of selecting appropriate methods, explaining their reasoning, and communicating mathematical ideas clearly.

Important Information

• No prerequisites are required for elementary courses
• Ontario elementary programs do not issue transcript credits
• Facilitated and independent learning pathways are available to support diverse learning needs

What Students Will Develop

Throughout the course, students engage in structured learning experiences that promote logical reasoning, mathematical communication, and analytical thinking.

Students will:

• Work confidently with whole numbers up to 100,000
• Strengthen multiplication and division strategies
• Apply decimal and fraction concepts with accuracy
• Analyze geometric relationships and spatial reasoning
• Recognize, extend, and model mathematical patterns
• Interpret and represent data to support conclusions
• Solve measurement problems using appropriate units
• Apply financial literacy skills to real world scenarios
• Develop coding logic and computational thinking
• Communicate mathematical reasoning using precise language

These competencies support academic independence while preparing students for the expectations of the junior mathematics years.

Course Structure

Learning is organized into carefully sequenced units that balance conceptual understanding with practical application.

Numbers Up to 100,000

Students expand their understanding of place value while reading, writing, comparing, and ordering large numbers. They solve multi step problems that require accuracy and strategic thinking.

Multiplication and Division

Learners refine operational fluency by working with multi digit numbers and exploring numerical relationships. Emphasis is placed on flexible strategies, mental math, and algebraic reasoning to solve increasingly complex equations.

Geometry

Students classify angles and triangles, construct geometric figures, and analyze congruent shapes. They explore coordinate systems and perform transformations while strengthening spatial visualization skills.

Working with Decimal Numbers

Students investigate place value within decimal numbers, compare and order decimals, and apply rounding strategies. Operations involving decimals support precision in mathematical reasoning.

Fractions

Learners represent and compare proper and improper fractions, convert between mixed numbers and improper fractions, and explore equivalency. Students perform operations with fractions while examining their relationship to decimals.

Patterning and Algebra

Students identify and extend numeric and geometric patterns while modeling relationships through tables and expressions. Early algebraic thinking is strengthened as learners evaluate expressions and solve inequalities.

Coding

Students develop computational thinking by working with conditional statements and control structures. They analyze existing code, modify it, and design solutions to mathematical problems through programming logic.

Data

Students collect, organize, and interpret data using charts, tables, and graphs. They calculate mean, median, and mode while investigating probability and predicting outcomes through experimentation.

Measurement

Learners estimate and calculate perimeter and area while solving real world measurement problems. They convert units, measure mass, and apply formulas to determine the area of geometric shapes.

Financial Literacy

Students explore responsible financial decision making by designing budgets, analyzing transactions, and examining concepts such as credit, debt, taxation, and value comparison using unit rates.

Social Emotional Learning Connections

Mathematics learning is supported through collaboration and reflective thinking. Students are encouraged to explain their reasoning, learn from multiple perspectives, and approach challenges with persistence and confidence.

Learning Resources

As a fully online course, Grade 5 Mathematics does not rely on a traditional textbook. Students utilize digital tools alongside hands on materials that support interactive learning.

Recommended resources include:

• A device capable of capturing written work
• Audio recording tools
• Access to a printer
• A binder, folder, or notebook for offline activities
• A calculator and basic geometry tools such as a protractor and ruler
• Grid and dot paper
• Manipulatives including dice, cards, and coins
• Scissors, glue, and sticky notes
• Household materials that support problem solving activities

These resources help create a dynamic environment where students actively engage with mathematical concepts.

Teaching and Learning Approach

Our approach combines direct instruction with inquiry based exploration so that students develop both procedural fluency and conceptual understanding.

Key features of the learning experience include:

• A balance of guided teaching and independent problem solving
• Real world applications that deepen relevance
• Technology enriched instruction paired with offline practice
• Interactive storylines, videos, and digital tools
• Opportunities to model thinking and explain solutions
• Consistent teacher support that promotes confidence and academic growth

A learning coach may assist younger students by supporting technical aspects of the course and encouraging engagement in collaborative activities.

Preparing Students for Continued Mathematical Growth

By the end of Grade 5, students demonstrate stronger reasoning skills, improved precision, and greater independence in mathematical thinking. Their ability to analyze problems, justify solutions, and apply knowledge across contexts prepares them for the increased rigor of junior mathematics.

At Trinity Ontario Elementary School, every learning experience reflects the vision of Trinity Ontario Global Academy by combining academic excellence with character development and global perspective. Students complete Grade 5 Mathematics equipped with the confidence and capability needed for continued success in their academic journey.