WPGA Math 10 Final Review 西点格雷学院 10 年级数学期末复习
📌 Course at a glance
· 6 units · key topics drilled across the official outline
· Next exam: 2026-06-19 · 23 days to exam
📝 Full chapter-by-chapter lecture walkthroughs are being written. This page is the course outline — every unit 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.
What you can already do today (free)
- 📺 Watch curated YouTube videos on every topic (links from the chapter pages as they release)
- 🎯 Take 1 free diagnostic quiz 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 MCQ / FRQ practice
- 📑 Mock exams and progress analytics
Course outline
Unit 1 · Operations 数的运算
Exam weight: Core
1.1 — Rational Number Operations 有理数运算（整数·分数·根号·小数）
· Whole numbers, fractions, decimals, square roots · Add, subtract, multiply, divide · Negative numbers · Mixed numbers and improper fractions
1.2 — Order of Operations 运算顺序（BEDMAS）
· BEDMAS / PEMDAS · Brackets and exponents · Square roots in expressions · Fractions and decimals together
Unit 2 · Exponents 指数
Exam weight: Core
2.1 — Exponential to Standard Form 指数形式化为标准形式（含零次幂）
· Evaluating powers · The power of zero · Negative bases vs. negatives outside the power · Powers of fractions
2.2 — Exponent Laws 指数运算法则
· Product law, quotient law · Power of a power · Power of a product / quotient · Zero exponent
2.3 — Simplifying with Variable Bases 含字母底数的化简
· Combining variable powers · Coefficients vs. exponents · Multiple variables · Quotients with variables
Unit 3 · Polynomials 多项式
Exam weight: Core
3.1 — Classifying Polynomials 多项式的分类（单项式·二项式·三项式）
· Monomial, binomial, trinomial · Counting terms · Degree of a polynomial · Number of terms vs. degree
3.2 — Like Terms and Simplifying 合并同类项与化简
· Identifying like terms · Combining like terms · Coefficients and signs · Multiple variables
3.3 — Polynomial Operations 多项式的加减乘除
· Adding and subtracting polynomials · Distributing a monomial · Multiplying binomials (FOIL) · Dividing a polynomial by a monomial
3.4 — Volume and Surface Area with Polynomials 用多项式求体积与表面积
· Surface area of prisms / boxes · Volume as a polynomial · Expanding to a polynomial · Substituting a value
Unit 4 · Algebra 代数（解方程）
Exam weight: Core
4.1 — Distributive Property in Equations 用分配律解方程
· Expanding brackets · Collecting like terms · Solving after distributing · Negative distribution
4.2 — Variables on Both Sides 未知数在等号两边
· Moving variables to one side · Keeping the equation balanced · Negative coefficients · Checking the solution
4.3 — Multi-Step Equations (Decimals & Fractions) 多步方程（小数与分数）
· Clearing fractions (LCD) · Equations with decimals · Multiple steps · Isolating the variable
4.4 — Translating Phrases to Expressions 把文字翻译成代数式
· Sum, difference, product, quotient · More than / less than · Twice, half, consecutive · Order of subtraction
4.5 — Word Problems (Let Statements & Equations) 应用题（设未知数、列方程、求解）
· Writing a let statement · Building the equation · Solving algebraically · Answering in context
Unit 5 · Graphing 图象（直线）
Exam weight: Core
5.1 — Table of Values from an Equation 由方程填值表
· Substituting x-values · Evaluating to find y · Negative inputs · Reading ordered pairs
5.2 — Slopes of Diagonal, Horizontal and Vertical Lines 斜线、水平线、竖直线的斜率
· Slope = rise / run · Horizontal line slope 0 · Vertical line slope undefined · Positive vs. negative slope
5.3 — Tables for Horizontal and Vertical Lines 水平线与竖直线的值表
· y = c is horizontal · x = c is vertical · Constant coordinate · Recognizing from a table
5.4 — Rearranging into Slope-Intercept Form 化为斜截式 y = mx + b
· Isolating y · Identifying m and b · Dividing every term · Sign of the slope
5.5 — Equation of a Graphed Line 由直线图象写方程
· Reading the y-intercept · Counting slope from the graph · Writing y = mx + b · Negative slopes
5.6 — Patterns to Equations 由规律写方程并求解
· Finding the common difference · Writing a rule for term n · Using the rule to extend · Linear patterns
5.7 — Graphing Lines from Equations 由方程画直线
· Plotting the y-intercept · Using slope to plot points · Points on a line · Matching equation to graph
Unit 6 · Beyond BC Math 10 — Supplemental 超纲补充（BC 大纲未覆盖）
Exam weight: Bonus
6.1 — Sets and Set Notation 集合与集合符号
· Set definition and roster notation · Set-builder notation · Element membership ∈ and ∉ · Empty set ∅ and common number sets ℕ, ℤ, ℚ, ℝ · Subset ⊆ vs proper subset ⊊
6.2 — Complex Numbers 复数
· Imaginary unit i, i² = -1 · Standard form z = a + bi, real and imaginary parts · Equality of complex numbers · Addition, subtraction, multiplication · Conjugate z̄ and its properties