K-12 Math Series (Grade 6)
About Course
🍁 Canadian Curriculum · K–12 Math Series
Grade 6 Mathematics — Complete Course
Built for Canadian students · Aligned to provincial curriculum standards across Canada
Welcome to Grade 6 Mathematics — a complete, Canadian-built math course designed to help your child truly understand the math they are learning in school, build lasting problem-solving skills, and walk into any provincial assessment with confidence. Every lesson, every example, and every practice question in this course was written specifically for Canadian students.
Every province in Canada assesses student achievement in mathematics. This course prepares Grade 6 students for all major provincial assessments through consistent practice with the question formats, reasoning skills, and multi-step problem solving these assessments demand.
Ontario — EQAO Grades 3, 6, 9
The Education Quality and Accountability Office (EQAO) assessment tests all five curriculum strands covered in this course. The Grade 6 assessment includes both multiple choice and open-response questions requiring students to show their work and explain their reasoning — the exact skills practised throughout every lesson in this course.
British Columbia — FSA Grades 4, 7
The Foundation Skills Assessment (FSA) evaluates numeracy alongside literacy for BC students. The numeracy component emphasises applying math to real-world situations — exactly the approach taken throughout this course with Canadian real-world contexts in every lesson.
Alberta — PAT Grades 6, 9
The Provincial Achievement Test (PAT) for Grade 6 covers Number, Patterns and Relations, Shape and Space, and Statistics and Probability — all directly addressed in this course. The PAT uses multiple-choice and numerical-response questions, both practised extensively in every lesson quiz.
Saskatchewan — SLA Grades 4, 7
The Student Learning Assessments (SLA) evaluate foundational numeracy skills. The problem-solving and reasoning focus of this course aligns directly with the competencies SLA assessments measure.
Atlantic Provinces — School-Based Assessments NS · NB · PEI · NL
Atlantic provinces use school and district-based assessments aligned to the Atlantic Canada mathematics curriculum framework. The core number, algebra, data, geometry, and financial literacy content in this course maps directly to Atlantic curriculum outcomes at Grade 6.
Every lesson is broken into short, focused concept blocks designed for the way today’s students actually learn. Rather than presenting all the information at once and testing at the end, this course builds understanding step by step — each concept is explained, demonstrated, and checked before the next one begins.
Inside every concept block:
1 Concept explanation — clear, plain-language explanation with a Canadian real-world context
2 Worked example — a fully solved problem with every step clearly explained
✓ CHECK YOUR UNDERSTANDING
After each concept block, 2 quick questions appear right inside the lesson. Read the question, think it through, then click Reveal Answer to check. If you struggle — re-read the concept before moving on. This keeps learning active and immediately shows any gaps before the next idea is introduced.
After all concept blocks:
3 Common mistakes — the errors that appear most often on provincial assessments, explained so students can avoid them
📝 PRACTICE CHALLENGE
Every lesson ends with 2 multi-step Practice Challenge questions written in the style of EQAO, FSA, and PAT assessments. These require students to show their work and explain their thinking — exactly as provincial assessments require. Attempt each question on paper first, then click Reveal Model Answer to see the full solution with marking guide.
To complete the lesson:
4 End-of-lesson quiz — 13 auto-graded questions with instant results and full explanations (see below)
5 Printable worksheet — downloadable PDF with 6 practice problems for paper-based practice
Every end-of-lesson quiz contains 13 auto-graded questions with instant results — no waiting, no manual marking. Two question formats are used:
🔵 10 multiple choice — one correct answer, three carefully designed wrong options that reflect the most common errors students make
🔵 3 true/false — testing deep conceptual understanding, not just calculation ability
What makes our explanations different: Every single question — including the ones students get right — comes with a full explanation covering why the correct answer is right AND specifically why each wrong option is wrong. Students who read all explanations develop deeper understanding than those who only review their mistakes.
💡 Tip: Always read every explanation after a quiz — even for questions you answered correctly. The reasoning behind each answer is where the real learning happens, and it is exactly the kind of thinking that scores marks on provincial assessments.
Unit 1 — Number · 10 lessons
Multiplication and division · Factors, multiples, prime and composite · Fractions: comparing, ordering, equivalence · Fractions and ratios · Decimals: place value, comparing, ordering · Decimal operations · Integers · Percents · Order of operations (BEDMAS)
Unit 2 — Algebra · 7 lessons
Patterns: identifying, extending, describing rules · Variables and expressions · Solving one-step equations · Inequalities · Tables of values · Linear and non-linear patterns · Applying algebra to real-world problems
Unit 3 — Data · 6 lessons
Data collection, surveys, bias, sampling · Displaying data: bar, line, circle graphs · Mean, median, mode, range · Interpreting and analysing data · Theoretical probability · Experimental probability and predictions
Unit 4 — Spatial Sense · 6 lessons
Angle measurement · Area and perimeter · Volume and surface area · Coordinate grids · Transformations: translations, reflections, rotations · Geometric nets and 3D shapes
Unit 5 — Financial Literacy · 4 lessons Unique to this course
Interest and discounts · Budgeting basics · Income and expenses · Real-world Canadian financial decision making
Most online math platforms use American examples. Every worked example and practice problem in this course uses contexts that Canadian students actually recognise:
🏒 Hockey statistics and tournament scoring
🍁 Maple syrup production in Ontario and Quebec
🏔️ Skiing and outdoor recreation in BC and Alberta
☕ Tim Hortons, school fundraisers, and community events
🌾 Farming and agriculture from PEI to Saskatchewan
🏙️ Cities and landmarks from Vancouver to Halifax
🌡️ Weather, environment, and Canadian geography
Financial Literacy is one of the most underserved areas in Canadian K–12 math education — most tutoring platforms either skip it or treat it as an afterthought. This course dedicates a full unit to it, teaching students how money actually works through real Canadian scenarios: calculating discounts at Canadian stores, understanding how interest grows savings, building a personal budget, and making smart financial decisions. These are skills students will use for the rest of their lives.
✅ Grade 6 students who want to strengthen their understanding during or before the school year
✅ Students preparing for a provincial math assessment — EQAO, FSA, PAT, or SLA
✅ Students who have gaps from earlier grades affecting their Grade 6 progress
✅ Students who find classroom explanations move too fast and want to learn at their own pace
✅ Parents who want to support their child at home with clear, Canadian, curriculum-aligned content
Prerequisites: A basic understanding of multiplication, division, and simple fractions from Grade 5. No prior experience with online learning is required — the course is designed to be used completely independently.
1 Read each concept block carefully — the explanations are short and precise. Do not skim.
2 Try each worked example yourself before reading the solution — the attempt matters more than the answer.
3 Answer the Check Your Understanding questions honestly — if you struggle, re-read the concept before moving on to the next block.
4 Attempt the Practice Challenge on paper — then reveal the model answer to check your reasoning step by step.
5 Complete the end-of-lesson quiz on your own, then read every explanation — even for questions you got right.
6 Download and complete the worksheet on paper — provincial assessments are written on paper, so practising on paper builds the right habits.
Each lesson takes approximately 25–40 minutes to complete including the quiz. There is no rush — understanding matters more than speed.
Your child can work through this course completely independently — every concept is explained in plain language at a Grade 6 reading level. However, the single most effective thing you can do alongside this course is simple: ask your child to explain what they learned after each lesson. If they can teach it back to you, they understand it. If they struggle to explain it, that is the signal to revisit the lesson together.
The downloadable worksheet for each lesson is ideal for paper practice at the kitchen table. Provincial assessments are completed with pencil and paper — practising that way at home makes the real thing feel familiar and manageable.
📌 The Most Important Habit for Provincial Assessment Success
Throughout this course, the Practice Challenge questions at the end of each lesson are written in the style of EQAO, FSA, PAT, and SLA assessments — with multi-step problems requiring students to show their work and explain their thinking.
Always show your working, even when you know the answer in your head. Provincial assessments award marks for method — a student who shows correct reasoning but makes a small arithmetic error can still receive partial marks. A student who writes only the final answer receives nothing if it is wrong.
🍁 K–12 Math Series · Canadian Curriculum Aligned · Grade 6 Mathematics · 33 Lessons · 5 Units · EQAO · FSA · PAT Ready
Course Content
UNIT 1: NUMBER
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Lesson 1: Multiplication and Division of Whole Numbers
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Lesson 1: Multiplication and Division of Whole Numbers
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Lesson 2: Properties of Numbers – Factors, Multiples, Prime and Composite
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Lesson 2: Properties of Numbers – Factors, Multiples, Prime and Composite
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Lesson 3: Fractions: Comparing, Ordering, and Equivalent Fractions
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Lesson 3: Fractions – Comparing, Ordering, and Equivalent Fractions
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Lesson 4: Fractions and Ratios
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Lesson 4: Fractions and Ratios
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Lesson 5: Decimal Numbers: Place Value, Comparing, and Ordering
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Lesson 5: Decimal Numbers – Place Value, Comparing, and Ordering
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Lesson 6: Operations with Decimals: Addition and Subtraction
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Lesson 6: Operations with Decimals – Addition and Subtraction
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Lesson 7: Multiplying and Dividing Decimals
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Lesson 7: Multiplying and Dividing Decimals
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Lesson 8: Introduction to Integers
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Lesson 8: Introduction to Integers
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Lesson 9: Percents – Meaning, Conversions, and Simple Applications
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Lesson 9: Percents – Meaning, Conversions, and Simple Applications
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Lesson 10: Order of Operations — BEDMAS
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Lesson 10: Order of Operations (BEDMAS)
UNIT 2: ALGEBRA
UNIT 3: DATA
UNIT 4: SPATIAL SENSE
UNIT 5: FINANCIAL LITERACY
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