Master Advanced Algebra — One Confident Step at a Time
Built for 11th graders who are ready to go beyond the basics: short daily lessons, real-world connections, and hands-on projects take you from exponent rules all the way through the quadratic formula — so you never just memorize a procedure, you truly understand why it works.
"I don't move on until the footing is firm — because real confidence in math isn't built by rushing through it, it's built one solid step at a time."
— Diving Deeper Academy
What you'll learn
What you'll be able to do
- Apply product, quotient, power, and negative exponent rules fluently to simplify complex expressions and rational expressions
- Classify, add, subtract, multiply, and factor polynomials completely — including GCF, trinomials, grouping, and multi-step factoring
- Simplify radical expressions with and without variables, perform all four operations on radicals, and rationalize denominators with confidence
- Use the Pythagorean Theorem and the Distance and Midpoint formulas to solve coordinate geometry problems accurately
- Graph quadratic equations by identifying the vertex, axis of symmetry, and maximum or minimum values from any form of the equation
- Solve quadratic equations using three methods — graphing, factoring, and the quadratic formula — and choose the most efficient strategy for a given problem
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
6 modules · 28 lessons
Exponents and Polynomials
Students master all exponent rules and build fluency classifying, operating on, and factoring polynomials completely.
- 1.1Product, Quotient, and Power Rules of ExponentsIncluded
- 1.2Negative and Zero ExponentsIncluded
- 1.3Classifying and Adding or Subtracting PolynomialsIncluded
- 1.4Multiplying PolynomialsIncluded
- 1.5Daily Warm-Up and Exit Ticket RoutineIncluded
Factoring Polynomials
Students develop a complete factoring toolkit — from GCF and trinomials to grouping and multi-step factoring — and apply it to simplify rational expressions.
- 2.1Factoring Out the Greatest Common FactorIncluded
- 2.2Factoring Trinomials with a Leading Coefficient of 1Included
- 2.3Factoring Trinomials with a Leading Coefficient Greater Than 1Included
- 2.4Factoring by GroupingIncluded
- 2.5Factoring Completely and Simplifying Rational ExpressionsIncluded
Radical Expressions
Students simplify, operate on, and rationalize radical expressions — with and without variables — building toward confident algebraic manipulation.
- 3.1Simplifying Radical ExpressionsIncluded
- 3.2Radicals with VariablesIncluded
- 3.3Adding and Subtracting Radical ExpressionsIncluded
- 3.4Multiplying Radical ExpressionsIncluded
- 3.5Rationalizing the DenominatorIncluded
The Pythagorean Theorem, Distance, and Midpoint
Students apply the Pythagorean Theorem and derive the Distance and Midpoint formulas to solve real-world and coordinate geometry problems.
- 4.1The Pythagorean TheoremIncluded
- 4.2The Distance FormulaIncluded
- 4.3The Midpoint FormulaIncluded
- 4.4Hands-On Coordinate Geometry ProjectIncluded
Graphing Quadratic Equations
Students graph parabolas in multiple forms and identify key features — vertex, axis of symmetry, and maximum or minimum — with accuracy.
- 5.1Introduction to Quadratic Functions and ParabolasIncluded
- 5.2Vertex, Axis of Symmetry, and Maximum or MinimumIncluded
- 5.3Graphing Quadratics from Standard and Vertex FormIncluded
- 5.4Interpreting Graphs of Quadratic FunctionsIncluded
Solving Quadratic Equations
Students solve quadratic equations using three methods — graphing, factoring, and the quadratic formula — and develop strategy for choosing the most efficient approach.
- 6.1Solving Quadratics by GraphingIncluded
- 6.2Solving Quadratics by FactoringIncluded
- 6.3Solving Quadratics with the Quadratic FormulaIncluded
- 6.4Choosing the Best Strategy and Mixed PracticeIncluded
- 6.5Quadratics Capstone Project and Family ShowcaseIncluded
Who it's for
Is this you?
The rising 11th grader
She's completed Algebra I and II and wants to stay sharp, build real mastery, and walk into pre-calculus without any gaps.
The student who hit a wall
He got through Algebra II but never felt fully confident — structured step-by-step lessons and frequent check-ins are exactly what he needs to rebuild trust in his own abilities.
The homeschool parent
She's directing her teen's education and wants a rigorous, clearly structured algebra course she can follow along with and confidently support at home.
The involved school parent
He wants to understand what his 11th grader is actually learning so he can offer real help at the kitchen table — not just tell them to 'check YouTube.'
The advanced 10th grader
She's accelerating through her math sequence and is ready for 11th-grade algebra a year early — this course gives her a rigorous, self-paced path to get there.
The credit-recovery student
He needs to fill specific algebra gaps before moving forward in his math sequence, and the course's unit-by-unit structure lets him focus on exactly what he needs.
Questions
Frequently asked
Your teacher
A note from your teacher
Diving Deeper Academy
If your student has made it through Algebra I and II, they've done something genuinely hard. They've wrestled with variables, equations, and functions that didn't always make immediate sense — and they kept going. That's worth celebrating. And now, standing at the door of 11th grade, they're ready for the next level.
But here's what I've seen happen too often: students arrive at advanced algebra feeling like the math is suddenly moving faster than they can keep up. The procedures pile up. The connections between topics feel invisible. And somewhere between factoring trinomials and the quadratic formula, confidence quietly slips away. I built this course to make sure that doesn't happen to your student.
Algebra III is structured so that every concept has room to breathe. We start with exponents and polynomials — not as a quick review, but as a real foundation — and we don't move on until the footing is firm. From there, we move deliberately through factoring strategies, radical expressions, coordinate geometry, and quadratic equations. Each unit connects to the one before it. Each lesson opens with a warm-up that activates what was just learned, and closes with an exit ticket that tells both of us whether it's time to move forward or spend one more day cementing the idea.
I also know that many of you are homeschool families or parents who want to support your student at home but didn't sign up to re-teach algebra from scratch. This course is designed so that you're always in the loop — you know what's being covered, you know what mastery looks like, and you have enough context to have real conversations with your student about what they're learning. The family showcase at the end of the course isn't just for the student — it's for everyone who supported them along the way.
My promise is this: every student who works through this course will finish it knowing how to simplify a complex radical expression, factor a polynomial completely, graph a parabola from any form, and solve a quadratic equation three different ways — and actually understand which method to reach for and why. That's not just Algebra III mastery. That's the foundation for everything that comes next. I'd love for your student to be a part of it.
— Diving Deeper Academy
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- 6 modules, 28 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