Pre-Algebra builds the critical foundation students need before entering formal algebra. Students develop number sense, ratio reasoning, and early equation skills that set the stage for all future math.
- Integers, fractions, decimals, and rational numbers
- Ratios, proportions, and percentages
- Introduction to variables and expressions
- One- and two-step equations and inequalities
- Geometry basics: area, perimeter, volume
- Introduction to graphing on the coordinate plane
- Basic probability and data analysis
Algebra I introduces the language of mathematics. Students learn to represent, analyze, and solve problems using algebraic reasoning. The Honors track moves at an accelerated pace with deeper problem-solving expectations.
- Expressions, equations, and inequalities
- Linear functions, slope, and graphing
- Systems of equations and inequalities
- Exponents, radicals, and scientific notation
- Polynomials: operations and factoring
- Quadratic functions and the quadratic formula
- Introduction to exponential functions and sequences
- Data analysis and statistical reasoning
Honors Geometry builds spatial reasoning and formal proof-writing skills. Students explore the properties of shapes, transformations, and relationships through both deductive reasoning and algebraic connections.
- Foundations of geometry: points, lines, planes, angles
- Reasoning, logic, and formal two-column proofs
- Parallel and perpendicular lines
- Congruent triangles and triangle proofs
- Similarity, proportionality, and scale
- Right triangles and introduction to trigonometry
- Circles: arcs, chords, tangents, and sector area
- Area, surface area, and volume of 3D solids
- Coordinate geometry and transformations
Honors Algebra II significantly expands on Algebra I concepts and introduces a wide range of new function families. Students who excel here are well-prepared for Pre-Calculus and beyond.
- Advanced quadratics: complex numbers and the discriminant
- Polynomial functions: graphing, division, and theorems
- Rational functions and expressions
- Radical functions and equations
- Exponential and logarithmic functions
- Sequences, series, and the Binomial Theorem
- Systems of equations including matrices
- Introduction to probability and combinatorics
- Conic sections: parabolas, ellipses, hyperbolas
Trigonometry connects geometry and algebra through the study of angles, triangles, and periodic functions. This course is essential preparation for Pre-Calculus and is often paired with statistics or taken concurrently.
- Right triangle trigonometry: SOH-CAH-TOA
- Unit circle: radian measure, degrees, and special angles
- Graphs of sine, cosine, and tangent functions
- Amplitude, period, phase shift, and transformations
- Inverse trigonometric functions
- Trigonometric identities and proofs
- Law of Sines and Law of Cosines
- Polar coordinates and vectors
Pre-Calculus serves as the bridge between Algebra II/Trig and Calculus. Honors Pre-Calculus moves quickly and demands a strong grasp of all prior coursework. Students who succeed here are ready for AP Calculus AB or BC.
- Advanced function analysis and transformations
- Polynomial and rational functions in depth
- Exponential, logarithmic, and logistic functions
- Trigonometric functions and identities review
- Sequences, series, and limits (introduction)
- Parametric equations and polar coordinates
- Vectors in two and three dimensions
- Introduction to the derivative concept
Honors Calculus introduces students to the fundamental concepts of differential and integral calculus. This course follows a rigorous Honors curriculum and prepares students well for college-level math — whether or not they pursue the AP exam.
- Limits: definition, properties, and continuity
- The derivative: definition, rules, and notation
- Differentiation: product, quotient, and chain rules
- Applications of derivatives: optimization and related rates
- Curve sketching using derivatives
- Introduction to antiderivatives and indefinite integrals
- The Fundamental Theorem of Calculus
- Definite integrals and area under a curve
- Integration techniques: substitution and basic methods
AP Calculus AB is equivalent to a first-semester college calculus course. Our tutoring covers all College Board units and exam strategies to help students earn a 3, 4, or 5 on the AP exam.
- Unit 1: Limits and Continuity
- Unit 2: Differentiation — Definition and Fundamental Properties
- Unit 3: Differentiation — Composite, Implicit, and Inverse Functions
- Unit 4: Contextual Applications of Differentiation
- Unit 5: Analytical Applications of Differentiation
- Unit 6: Integration and Accumulation of Change
- Unit 7: Differential Equations
- Unit 8: Applications of Integration
AP Calculus BC covers all of AB plus additional topics equivalent to a second-semester college calculus course. It's one of the most demanding AP exams and requires strong mastery of all prior material.
- All AP Calculus AB units (see above)
- Unit 9: Parametric Equations, Polar Coordinates & Vector-Valued Functions
- Unit 10: Infinite Sequences and Series
- Advanced integration techniques: integration by parts, partial fractions
- Taylor and Maclaurin series
- Convergence tests for infinite series
AP Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. This Honors-level course follows the Avon curriculum and the College Board AP framework.
- Unit 1: Exploring One-Variable Data
- Unit 2: Exploring Two-Variable Data
- Unit 3: Collecting Data — Sampling and Experiments
- Unit 4: Probability, Random Variables, and Probability Distributions
- Unit 5: Sampling Distributions
- Unit 6: Inference for Categorical Data — Proportions
- Unit 7: Inference for Quantitative Data — Means
- Unit 8: Inference for Categorical Data — Chi-Square
- Unit 9: Inference for Quantitative Data — Slopes
This class focuses on the SAT Math section, covering all tested domains with an emphasis on time management, calculator strategy, and the question types students struggle with most.
- Algebra: linear equations, systems, and inequalities
- Advanced Math: quadratics, polynomials, and functions
- Problem Solving & Data Analysis: ratios, statistics, and probability
- Geometry & Trigonometry: area, volume, and right triangles
- Calculator strategy and when not to use it
- Timed practice with real College Board questions
- Test-taking strategies: elimination, plugging in, back-solving
The ACT Math section is fast-paced and covers a wide range of topics. Our prep helps students develop speed and accuracy across all six content categories, with a focus on high-frequency question types.
- Pre-Algebra: fractions, percentages, and number properties
- Elementary Algebra: expressions, equations, and inequalities
- Intermediate Algebra: quadratics, functions, and matrices
- Coordinate Geometry: lines, parabolas, and graphing
- Plane Geometry: angles, triangles, circles, and area
- Trigonometry: SOH-CAH-TOA, unit circle, and identities
- Pacing strategy: 60 questions in 60 minutes