Grade 4 – Mathematics

Course Overview

The Grade 4 Mathematics course represents a significant step in students’ mathematical development as they transition from foundational numeracy toward greater precision, strategy, and analytical thinking. Building on the competencies established in earlier grades, learners apply the four operations with larger numbers while deepening their understanding of fractions, decimals, geometry, and data.

Mathematics is explored through meaningful real world contexts that encourage students to recognize the relevance of quantitative reasoning in everyday decision making. Learners investigate patterns, measurement, financial literacy, and coding while strengthening their ability to approach problems with confidence and flexibility.

As independence continues to grow, students become more strategic thinkers who can justify their reasoning and apply mathematical concepts with increasing accuracy.

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 engage in structured learning experiences designed to deepen mathematical understanding while promoting logical reasoning and problem solving.

Students will:

• Read, represent, compare, and order multi digit numbers
• Apply addition, subtraction, multiplication, and division with increasing fluency
• Develop fractional and decimal understanding
• Analyze numerical relationships and algebraic patterns
• Strengthen spatial reasoning through geometry
• Collect, interpret, and draw conclusions from data
• Measure mass, capacity, volume, and elapsed time
• Apply financial literacy skills to real world scenarios
• Use coding to model mathematical ideas
• Communicate mathematical thinking clearly

These competencies support academic independence while preparing students for more advanced mathematical study.

Course Structure

Learning is organized into carefully sequenced units that promote conceptual understanding while encouraging students to apply mathematics in meaningful ways.

Representing Numbers

Students expand their number sense by reading, writing, comparing, and ordering numbers up to 10 000. They develop a strong understanding of place value and apply rounding strategies in practical situations.

Geometry

Learners investigate geometric relationships by identifying lines of symmetry, classifying quadrilaterals, and examining angles. Students explore reflections and create visual patterns that reinforce spatial reasoning.

Addition and Subtraction

Students refine computational accuracy as they add and subtract multi digit numbers using a variety of strategies, including partial sums and vertical algorithms.

Multiplication and Division

Learners deepen their understanding of multiplicative relationships by multiplying and dividing using mental strategies, tools, and equations. Students explore unit rates, solve multi step problems, and examine how operations relate to one another.

Patterning and Algebra

Students analyze patterns to identify rules and relationships. They investigate properties such as commutativity and distribution while solving equations that involve unknown values.

Fractions and Decimal Numbers

Learners represent, compare, and order fractions while exploring equivalency. They are introduced to decimal notation and examine the relationship between fractions and decimals as they perform operations involving tenths.

Coding

Students write and execute code to create geometric designs while learning about variables and nested events. Debugging activities strengthen logical reasoning and persistence.

Data

Students gather and organize information through surveys before representing findings using charts, tables, graphs, and infographics. They interpret data sets, explore probability, and draw informed conclusions.

Measurement

Learners estimate, measure, and compare attributes such as mass, volume, and capacity. They investigate elapsed time and apply measurement skills to solve practical problems.

Financial Literacy

Students examine methods of payment while learning to estimate costs, calculate change, and evaluate spending decisions. Concepts such as saving, investing, and responsible financial choices are introduced to build long term awareness.

Socio Emotional Learning

Mathematics learning is supported by the development of perseverance, collaboration, and reflective thinking. Students learn to communicate their reasoning, consider multiple strategies, and approach challenges with confidence.

Learning Resources

As a fully online course, Grade 4 Mathematics does not rely on a traditional textbook. Students engage with a combination of digital tools and hands on materials that support active problem solving.

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
• Counters and basic measuring tools
• A calculator for guided activities
• Rulers and geometric tools
• Coins and bills for financial literacy practice
• Creative materials such as paper, markers, scissors, and glue
• Household items that support mathematical investigations

These resources help create an interactive environment where students actively apply mathematical concepts.

Teaching and Learning Approach

The Grade 4 Mathematics program blends structured instruction with inquiry driven exploration so that students develop both procedural fluency and conceptual understanding.

Key features of the learning experience include:

• A balance of direct teaching and problem based learning
• Real world applications that strengthen relevance
• Opportunities to model, explain, and justify solutions
• Integration of technology to support visualization
• Tasks that promote analytical and flexible thinking
• Consistent educator support that encourages independence

Learning coaches and teachers play an important role in facilitating instruction, supporting technical aspects of the course, and guiding students toward increasingly sophisticated mathematical reasoning.

Preparing Students for Junior Mathematics

As students progress through Grade 4 Mathematics, they develop the confidence and precision needed to approach complex problems thoughtfully. Their growing ability to analyze relationships, apply strategies, and communicate reasoning prepares them for the academic rigor of the junior years.

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 4 Mathematics equipped with the skills, discipline, and intellectual curiosity necessary for continued success.