Math Fast-Track (Grade 5 → Gauss 7) 数学直通车 · 五年级 → Gauss 7
📌 Course at a glance
· 8 themes (专题) · 37 topics · CORE 核心 + OPTION 选修(→Gauss 7)
· A friendly, Grade-5-paced on-ramp from the BC Grade 5 baseline up to CEMC Gauss 7 readiness.
📝 Full chapter-by-chapter lecture walkthroughs are being written. This page is the course outline — every theme and topic that will be covered, with key concepts you can already start to recognise. Use it as a study map; the chapter notes drop in over the coming weeks.
Who is this for? 适合谁
A bright, curious BC Grade 5 student (~10–11) who is ready to reach beyond grade level toward the University of Waterloo CEMC Gauss 7 contest. Bilingual (English + 中文). It assumes the BC Grade 5 baseline and gently builds everything Gauss 7 needs but Grade does not formally teach.
为一名学有余力、对数学好奇的 BC 五年级学生设计，目标是衔接到滑铁卢 CEMC Gauss 7 竞赛。双语授课，从 BC 五年级基线出发，循序渐进补齐 Gauss 7 所需、而五六年级课内不正式教的内容。
- 核心 CORE — 五年级能力范围内、必须掌握的主线。
- 选修 OPTION (→Gauss 7) — 进阶拉伸内容，准备好了再挑战。
What you can already do today (free)
- 📺 Watch curated YouTube videos on every topic (links from the chapter pages as they release)
- 🎯 Take a free diagnostic to see your starting level
- 📊 Browse the full course outline below to plan your study path
With All-Access (free 7-day trial):
- 🧠 Memory Curve spaced review with email reminders
- 📝 Unlimited practice problems
- 📑 Progress analytics — and a clear path into the Gauss 7 contest-prep course
The bridge in one line
BC Grade 5 baseline (whole numbers to 1,000,000 · decimals · equivalent fractions · one-step equations · area of rectangles · single transformations · single-outcome probability) → Gauss 7 readiness (GCF/LCM · prime factorization · percent chains · two-stage ratios · multi-step algebra & cryptarithms · angle chasing · scaling laws k→k²→k³ · mean/median/range · systematic counting · two-stage probability).
Course outline
专题一 · Whole Numbers, Place Value & Mental Math 整数、位值与心算
Exam weight: 核心 Core — Place value to millions · mental ±/×/÷ · order of operations (BEDMAS) · estimation & rounding.
专题二 · Factors, Multiples & Divisibility 因数、倍数与整除
Exam weight: 核心 + 选修 Core + Option — Factors & multiples · primes vs composites · divisibility rules · GCF/LCM and prime factorization (选修→Gauss 7).
专题三 · Fractions, Decimals & Percent 分数、小数与百分数
Exam weight: 核心 + 选修 Core + Option — Equivalent fractions · ±/× fractions · decimals ↔ fractions ↔ percent · percent chains (选修→Gauss 7).
专题四 · Ratios, Rates & Word Problems 比、速率与应用题
Exam weight: 核心 + 选修 Core + Option — Ratios · equivalent ratios & tables · unit rates & speed · two-stage ratio problems (选修→Gauss 7).
专题五 · Patterns & Pre-Algebra 规律与代数启蒙
Exam weight: 核心 + 选修 Core + Option — Sequences · variables & expressions · one-step → multi-step equations · word-to-equation · cryptarithms (选修→Gauss 7).
专题六 · Geometry — Angles, Shapes & Symmetry 几何：角、图形与对称
Exam weight: 核心 + 选修 Core + Option — Angles & protractor · triangles/quadrilaterals · angle sums & angle chasing (选修→Gauss 7) · symmetry & transformations.
专题七 · Measurement — Area, Perimeter & Scaling 测量：面积、周长与缩放
Exam weight: 核心 + 选修 Core + Option — Perimeter · area of rectangles & triangles · composite figures · scaling laws k→k²→k³ (选修→Gauss 7).
专题八 · Data, Counting & Probability 数据、计数与概率
Exam weight: 核心 + 选修 Core + Option — Reading/making graphs · mean/median/mode/range · systematic counting · simple & two-stage probability (选修→Gauss 7).
Ready for the contest itself? Continue into the CEMC Gauss 7 course for past-paper-grounded, timed contest practice.