Grade 6 – Mathematics

Course Overview

The Grade 6 Mathematics course marks the culmination of the junior mathematics journey as students prepare for the increased rigor of intermediate learning. Building on the strong numerical foundation established in earlier grades, learners engage with larger numbers, more advanced operations, and multi step problem solving while strengthening analytical thinking.

Students explore how mathematical concepts apply to authentic contexts such as financial decision making, scientific reasoning, data interpretation, and real world measurement. Through structured instruction and strategic practice, learners refine their ability to approach problems logically, justify their reasoning, and communicate mathematical thinking with clarity.
As independence continues to grow, students become more confident problem solvers who are prepared to navigate complex mathematical challenges.

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 different learning needs

What Students Will Develop

Throughout the course, students participate in learning experiences designed to strengthen mathematical fluency while promoting strategic reasoning and intellectual independence.

Students will:

• Work confidently with whole numbers up to one million
• Strengthen operational fluency with decimals and multi digit calculations
• Apply fractions, ratios, percentages, and rates in practical contexts
• Analyze data and interpret probability using multiple representations
• Solve equations and explore algebraic relationships
• Identify geometric properties and construct mathematical models
• Convert metric measurements and calculate area and surface area
• Develop coding skills that support logical sequencing
• Build financial literacy through goal setting and resource management

These competencies prepare students to approach mathematics with confidence while supporting readiness for more abstract mathematical thinking.

Course Structure

Learning is organized into thoughtfully designed units that deepen conceptual understanding while encouraging flexible problem solving.

Numbers

Students read, represent, compare, and order numbers up to one million while solving real world problems. Instruction includes identifying prime and composite numbers, determining prime factors, and strengthening place value understanding for both whole numbers and decimals.

Geometry

Learners classify polygons and quadrilaterals, construct angles, and determine unknown angle measures. Students create three dimensional models and interpret isometric drawings while plotting coordinates on a Cartesian plane.

Operations

Students extend their operational fluency by multiplying and dividing multi digit numbers and performing precise calculations with decimals to the thousandths using a variety of strategies and algorithms.

Fractions, Percentages, Ratios, and Unit Rates

Students deepen their understanding of fractional relationships while comparing mixed numbers and solving applied problems. Instruction emphasizes connections among fractions, decimals, and percentages as well as the practical use of ratios and unit rates.

Data Management and Probability

Learners collect and organize data, select appropriate graphical representations, and evaluate how accurately data reflects a population. Students express probability as fractions, decimals, and percentages while predicting outcomes of experiments.

Algebra

Students explore algebraic thinking by working with variables, solving equations, verifying solutions, and graphing inequalities. These experiences support the transition toward more abstract mathematical reasoning.

Patterning

Students analyze repeating, growing, and shrinking patterns while representing relationships algebraically. Patterning activities help illustrate connections between whole numbers and decimals.

Coding

Learners develop efficient code using control structures, debug programs, and refine logical processes that support computational thinking.

Measurement

Students estimate, measure, and convert metric units while calculating area for polygons and surface area for prisms. Emphasis is placed on selecting appropriate measurement tools and applying them accurately.

Financial Literacy

Students compare payment methods, establish financial goals, and examine factors that influence financial outcomes. Instruction introduces interest and encourages responsible decision making related to resource management.

Social Emotional Learning in Mathematics

Students strengthen perseverance and adaptability by approaching problems from multiple perspectives. Collaborative tasks encourage learners to communicate reasoning clearly while recognizing that mathematical challenges can be solved in diverse ways.

Learning Resources

As a fully online course, Grade 6 Mathematics does not rely on a traditional textbook. Students utilize digital tools and hands on materials that support active problem solving.

Recommended resources include:

• A device capable of capturing written work
• Audio recording tools when required
• Access to a printer
• A binder, folder, or notebook for offline activities
• A ruler, protractor, and calculator
• Grid paper and measurement tools
• Cards or manipulatives for probability activities
• Household materials that support mathematical investigations

These resources help create an interactive learning environment where students apply mathematical concepts with increasing independence.

Teaching and Learning Approach

Our approach balances conceptual understanding with procedural fluency so that students develop both accuracy and strategic thinking.

Key features of the learning experience include:

• A balance of direct instruction and inquiry based problem solving
• Real world applications that enhance relevance
• Opportunities to explain and justify mathematical reasoning
• Integration of technology to support visualization and analysis
• Tasks that promote perseverance and flexible thinking
• Consistent learning coach support that guides academic progress

Students engage with interactive lessons, visual models, and applied challenges that reinforce mathematical understanding while preparing them for future coursework.

Educators and learning coaches play an essential role in supporting students as they refine their strategies, strengthen communication, and develop confidence in tackling complex problems.

Preparing Students for Intermediate Mathematics

Grade 6 represents a defining transition as students move from foundational computation toward abstract reasoning and strategic analysis. By the end of the course, learners demonstrate stronger independence, improved accuracy, and the ability to approach unfamiliar problems with confidence.

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 6 Mathematics equipped with the knowledge, discipline, and problem solving abilities needed for success in the intermediate years and beyond.