Foundations of Mathematics Academy
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Finally make sense of high school math

Three complete tracks — Algebra, Geometry, and Trigonometry — taught step by step with visual lessons and worked examples, so you walk into college math ready and confident.

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Foundations of Mathematics Academy

Every student I've ever seen 'get it' had one thing in common — someone finally slowed down and showed them the step they were missing.

— Gregory Campbell

What you'll learn

What you'll be able to do

  • Solve linear and quadratic equations confidently and graph their functions accurately on a coordinate plane
  • Write and interpret formal geometry proofs using key theorems about angles, triangles, and parallel lines
  • Calculate area and volume for a full range of 2D and 3D shapes using the correct formulas
  • Navigate coordinate geometry — finding distances, midpoints, slopes, and equations of lines and circles
  • Apply the unit circle, sine and cosine laws to solve real-world triangle and angle problems
  • Simplify and prove trigonometric identities using fundamental trig relationships and algebraic manipulation

How it works

A school that adapts to you

This isn't a set of static videos. Every lesson is generated live and tuned to where you actually are.

We learn your level

A quick placement check tailors your starting point so you're never bored or lost.

Lessons adapt as you go

Each lesson is written for your pace and your goal, adjusting as your skills grow.

Your AI coach keeps you moving

Checkpoints, feedback, and gentle nudges turn progress into a real result.

The curriculum

What's inside your school

7 modules · 32 lessons

1

Algebra – Solving Equations

Builds students' equation-solving skills from one-step linear problems through multi-step and rational equations, creating a rock-solid algebraic foundation.

  • 1.1One- and Two-Step EquationsIncluded
  • 1.2Multi-Step and Literal EquationsIncluded
  • 1.3Solving Inequalities and Absolute Value EquationsIncluded
  • 1.4Systems of EquationsIncluded
2

Algebra – Quadratics

Guides students through every method for working with quadratic expressions and equations, from factoring to the quadratic formula.

  • 2.1Introduction to Quadratic ExpressionsIncluded
  • 2.2Factoring QuadraticsIncluded
  • 2.3Completing the SquareIncluded
  • 2.4The Quadratic Formula and the DiscriminantIncluded
  • 2.5Word Problems with QuadraticsIncluded
3

Algebra – Graphing Functions

Develops students' ability to graph linear and quadratic functions accurately and interpret every feature of those graphs.

  • 3.1The Coordinate Plane and Plotting PointsIncluded
  • 3.2Graphing Linear FunctionsIncluded
  • 3.3Graphing Quadratic FunctionsIncluded
  • 3.4Transformations of FunctionsIncluded
4

Geometry – Proofs and Theorems

Teaches students to reason logically and write formal proofs using foundational theorems about angles, triangles, and parallel lines.

  • 4.1Logic, Conditionals, and Proof StructureIncluded
  • 4.2Angle Relationships and Parallel LinesIncluded
  • 4.3Triangle Congruence TheoremsIncluded
  • 4.4Triangle Similarity TheoremsIncluded
  • 4.5Properties of Quadrilaterals and PolygonsIncluded
5

Geometry – Area, Volume, and Coordinate Geometry

Equips students to calculate area and volume for any common shape and to solve problems on the coordinate plane using key formulas.

  • 5.1Area of 2D FiguresIncluded
  • 5.2Surface Area and Volume of 3D SolidsIncluded
  • 5.3Distance, Midpoint, and Slope on the Coordinate PlaneIncluded
  • 5.4Equations of Lines and CirclesIncluded
  • 5.5Coordinate Geometry ProofsIncluded
6

Trigonometry – The Unit Circle and Triangle Trig

Introduces the unit circle, right-triangle trigonometry, and the Laws of Sines and Cosines for solving real-world triangle problems.

  • 6.1Right-Triangle Trigonometry (SOH-CAH-TOA)Included
  • 6.2The Unit CircleIncluded
  • 6.3Graphing Sine and Cosine FunctionsIncluded
  • 6.4The Law of SinesIncluded
  • 6.5The Law of CosinesIncluded
7

Trigonometry – Identities and Advanced Applications

Deepens trig mastery by teaching students to simplify and prove trigonometric identities and apply them to solve equations.

  • 7.1Fundamental Trigonometric IdentitiesIncluded
  • 7.2Proving Trigonometric IdentitiesIncluded
  • 7.3Sum, Difference, and Double-Angle FormulasIncluded
  • 7.4Solving Trigonometric EquationsIncluded

Who it's for

Is this you?

The student falling behind

He's missed too many building blocks and needs a calm, from-the-ground-up reset before the gap gets any wider.

The college-bound senior

She's headed to college and wants to ace the math placement test so she skips the remedial class and saves money.

The SAT/ACT prepper

He knows the test is coming and wants to drill Algebra and quadratics until the math section feels like easy points.

The visual learner

Textbook explanations leave her cold, but a well-drawn diagram or step-by-step worked example makes everything click instantly.

The self-taught studier

He's motivated and independent but needs a structured, sequenced curriculum — not a pile of random videos to sort through.

The math-anxious returner

She took time away from school and needs a patient, judgment-free environment to rebuild her confidence from scratch.

Questions

Frequently asked

Your teacher

A note from your teacher

GC

Gregory Campbell

Hey — I'm really glad you found this school, and I want you to know something right away: if math has ever made you feel embarrassed, anxious, or just plain stuck, that feeling is not a reflection of your ability. It's a reflection of how the concept was explained to you. And that's something we can fix together.

I've seen so many students sit down with me convinced they "aren't math people," and within a few lessons — once we slow down, draw it out, and actually look at why a step works instead of just demanding they memorize it — something shifts. The panic quiets. The pencil starts moving. That moment is why I do this.

Core Math Mastery is built around one central belief: every student can learn math when it's taught in the right order, at the right pace, with enough visual support to make the abstract concrete. That's why every section here starts from scratch, uses diagrams alongside every explanation, and works through examples the way I'd work through them with you one-on-one — out loud, step by step, no shortcuts that leave you wondering what just happened.

Algebra, Geometry, and Trigonometry aren't three separate islands. They're a connected foundation, and when you understand how they fit together — how the coordinate plane links your algebra to your geometry, how the unit circle grows out of right-triangle trig — math stops feeling like a collection of random rules and starts feeling like a language you actually speak. That's what I want for you.

So whether you're catching up, prepping for a placement test, or just determined to finally get the math that never made sense in class — you're in the right place. Take a breath. Let's start from where you are, and go from there.

— Gregory Campbell

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  • 7 modules, 32 lessons
  • AI-adaptive lessons tuned to your level
  • Quizzes & checkpoints to lock in progress
  • Your own AI learning coach
  • Learn on any device, at your pace
  • Full access for as long as you're subscribed