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AMC 10AMC 12

AMC 10/12 Preparation

Connect algebra, geometry, number theory, counting, and probability. Extend your toolkit with clearly marked AMC 12 lessons.

Before you begin: Introductory algebra and basic geometry. AMC 12 topics are introduced after the shared foundations.

Your learning plan

20 hr · 30 lessons

10 modules, with explanations, worked examples, and practice.

0 min of planned learning completed

Start learning

9 complete lessons (6 hr) are ready to study. The outline below shows the full course plan; upcoming lessons are clearly marked.

Study shared AMC 10/12 lessons in order. Lessons marked AMC 12 extension add topics and depth for AMC 12 preparation.

Shared lessons: 0 / 26 complete · AMC 12 extensions: 0 / 4 complete

01

Algebraic Structure

2 hr · 0 / 3 complete

  1. Factor Expressions and Simplify Radicals

    Recognize identities

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study

  2. Systems and Equation Restrictions

    Combine equations

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study

  3. Bounds and Extrema

    Derive useful inequalities

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study
02

Functions and Polynomials

2 hr · 0 / 3 complete

  1. Domains, Composition, Inverses, and Graphs

    Determine valid inputs

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study

  2. Quadratics, Discriminants, and Intersections

    Connect quadratic forms

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study

  3. Polynomial Roots and Symmetric Relationships

    Apply factor and remainder reasoning

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study
03

Number Theory

2 hr · 0 / 3 complete

  1. Prime Powers and Divisor Structure

    Analyze prime exponents

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study

  2. Congruences, Cycles, and Remainders

    Calculate congruences

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study

  3. Integer Equations and Place Value

    Factor integer equations

    AMC 10AMC 12
    40 minDifficulty 4/10Ready to study
04

Combinatorics

2 hr · 0 / 3 complete

  1. Ordered Choices, Selections, and Binomial Coefficients

    Distinguish counting models

    AMC 10AMC 12
    40 minDifficulty 4/10Upcoming

  2. Restrictions, Complements, and Inclusion-Exclusion

    Organize overlapping cases

    AMC 10AMC 12
    40 minDifficulty 4/10Upcoming

  3. Distributions and Recursive Counting

    Model allocations

    AMC 10AMC 12
    40 minDifficulty 4/10Upcoming
05

Probability Models

2 hr · 0 / 3 complete

  1. Conditional Probability and Independence

    Restrict sample spaces

    AMC 10AMC 12
    40 minDifficulty 4/10Upcoming

  2. Expected Value through Indicators

    Define random quantities

    AMC 10AMC 12
    40 minDifficulty 4/10Upcoming

  3. Geometric Probability

    Model continuous outcomes

    AMC 10AMC 12
    40 minDifficulty 4/10Upcoming
06

Euclidean Geometry

2 hr · 0 / 3 complete

  1. Triangle Ratios, Similarity, and Areas

    Identify similar triangles

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming

  2. Chords, Tangents, and Circle Power

    Identify circle relationships

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming

  3. Angle Constraints and Cyclic Figures

    Recognize cyclic configurations

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming
07

Coordinate and Spatial Geometry

2 hr · 0 / 3 complete

  1. Lines, Circles, and Coordinate Equations

    Choose coordinates

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming

  2. Coordinates for Area and Distance

    Compute areas

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming

  3. Solids and Cross-Sections

    Visualize sections

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming
08

Sequences and Growth

2 hr · 0 / 3 complete

  1. Arithmetic and Geometric Sequences

    Identify sequence models

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming

  2. Telescoping and Recurrences

    Expose cancellation

    AMC 10AMC 12
    40 minDifficulty 5/10Upcoming

  3. Exponentials and Logarithmic Equations

    Interpret logarithms as inverses

    AMC 12 extension
    40 minDifficulty 5/10Upcoming
09

AMC 12 Extensions

2 hr · 0 / 3 complete

  1. Unit-Circle Trigonometry

    Interpret radians

    AMC 12 extension
    40 minDifficulty 6/10Upcoming

  2. Trigonometric Equations and Triangle Geometry

    Solve within stated intervals

    AMC 12 extension
    40 minDifficulty 6/10Upcoming

  3. Complex Numbers and Polynomial Roots

    Calculate with complex numbers

    AMC 12 extension
    40 minDifficulty 6/10Upcoming
10

Strategic Synthesis

2 hr · 0 / 3 complete

  1. Mixed Algebra and Geometry

    Compare representations

    AMC 10AMC 12
    40 minDifficulty 6/10Upcoming

  2. Mixed Number Theory, Counting, and Probability

    Identify structural constraints

    AMC 10AMC 12
    40 minDifficulty 6/10Upcoming

  3. Timed Practice, Diagnosis, and Review

    Prioritize a short timed set

    AMC 10AMC 12
    40 minDifficulty 6/10Upcoming

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