Math

Number Sense; Counting; Comparing; Even and Odd Numbers; Place Value; Basic Operations (addition, subtraction, multiplication, division); Multiplication Table and Facts; Divisibility Rules;

Mental Calculations; Rounding numbers; Estimating Numbers; Number Line; Factors and Multiples; Prime and Composite numbers; Basic Algebraic Expressions; Simple Equations; Introduction to Fractions and Decimals;
Basic Geometry Shapes, Perimeter and Area; Classifying Triangles; Basic Measurements and Units; Time; Money; Simple Pattern Recognition; Displaying Data using Graphs; Simple and Multi-Step Word Problems connecting Math to real-world situations.

Operations with Whole Numbers; Classification of Numbers; Factors and Multiples; Prime Factorization; Greatest Common Factor (GCF); Least Common Multiple (LCM); Operations with Integers, Fractions, and Decimals; Powers and Roots; scientific Notation; Properties of Real Numbers
Order of Operations; Ratio; Rate; Proportion; Percent; Variables; Expressions; Exponents; Radicals; Translating words to Mathematical Statements; Basic Equations and Inequalities; Coordinate Plane; Graphing lines, slope, intercepts; Measurements and Unit Conversions; Geometry foundations including Lines, Planes, Angles,
Polygons; Area; Volume; Pythagorean Theorem;
Data Representation, Graphing; Data Analysis; Basic Statistics and Simple Probability; Scatter Plots; Stem-and-Leaf Plots; Box-and-Whisker Plots; Real-world applications like Interest, Taxes, Discounts; Word problems involving all operations and concepts.

Algebra I

Multi-Step Linear Equations; Multi-Step Inequalities; Graphs of Linear Equations and Inequalities;  System of Equations in Two Variables; Absolute Value Equations; System of Inequalities; Algebraic, Radical and Rational Expressions and Equations; Estimation of Square Roots; Exponents; Polynomial Operations; Introduction to Relations and Functions; Quadratic Functions and Equations; Graphs of Parabolas; Data Analysis; Probability and Statistics; Word problems that focus on using variables to solve, graph, and model real-world situations.

Algebra II / Algebra 3-4 / College Algebra

Quadratic Functions and Equations: Vertex, Standard, Factored forms, Complex solutions, Quadratic Formula, Graphing; Polynomial Functions: Operations, Factoring, Zeros, Roots, End Behavior; Radical Functions and Equations; Rational Functions and Equations; Rational Exponents; Graphs of Rational Functions and Asymptotes; Exponential Functions and Equations: Properties, Modeling Growth and Decay, Compound Interest; Logarithmic Functions and Equations: Properties, Graphs; Introduction to Trigonometry: Unit Circle, Graphs of Sine, Cosine and Tangent, Special Triangles; Systems of Equations and Inequalities: Linear and Non-Linear Systems; Sequences and Series: Arithmetic, Geometric, Summation Notation, Binomial Theorem; Probability and Statistics: Permutations, Combinations, Conditional Probability, Data Analysis, Graphical Analysis: Understanding Transformations and Features of Graphs; Conic Sections: Parabolas, Circles, Ellipses, Hyperbolas; Application of Functions to real-world scenarios.

Geometry I

Foundational Concepts: Points, Lines, Planes, Segments, Rays, Distance Formula, Midpoint Formula, Angles, Angle Pairs, Postulates, Conditional Statements, Inductive/Deductive Reasoning; Proofs and Logic: Developing Logical Arguments, Algebraic Proofs, Two-Column Proofs, and CPCTC (Corresponding Parts of Congruent Triangles are Congruent); Parallel and Perpendicular Lines: Transversals, Slope, Equations of lines (point-slope, slope-intercept, standard); Transformations: Translations, Reflections, Rotations, Dilations; Triangles: Types, Special Segments, Congruence, Similarity, Inequalities; Right Triangles and Trigonometry: Pythagorean Theorem, Special Right Triangles, Basic Trigonometric Ratios; Quadrilaterals and Polygons: Properties of Parallelograms, Trapezoids, Kites, Classification, Area, Perimeter; Circles: Arcs, Chords, Tangents, Central and Inscribed Angles, Circumference, Area, Sectors; Area, Surface Area and Volume: Area of Plane Figures, Surface Area and Volume of 3D Solids (Prisms, Cylinders, Cones, Spheres); Application of algebraic concepts to geometry. 

Geometry II

Transformations and Dilations: Translation, Reflection, Rotation, Dilation; Similarity: Triangle Similarity, Properties of Similar Figures, Proportionality; Right Triangles and Trigonometry: Pythagorean Theorem, special Right Triangles, Trigonometric Identities, Applications involving Angles of Elevation/Depression; Circles: Properties of Chords, Tangents, Secants, Inscribed Angles, Central Angles, Arc/Sector Area, Equations of Circle; Analytic (Coordinate) Geometry: Theorems using coordinates, Distance Formula, Midpoint Formula, Equations of Lines, Properties of Polygons; Area and Volume: Area of Polygons, Perimeter and Circumference, Surface Area and Volume of Prisms, Cylinders, Cones, Pyramids, and Spheres; Probability and Statistics: Conditional Probability, Sample Spaces, Permutations, and Combinations

Honors Geometry

Foundations and Reasoning: Points, Lines, Planes, Angles, Conditional Statements, Deductive Reasoning, Paragraph Proof, Two-Column Proof, Geometric Constructions; Lines and Angles: Parallel and Perpendicular Lines, Transversals and Angle Relationships; Triangles: Triangle Sum Theorem, Exterior Angles, Triangle Congruence and Proofs; Relationships in Triangles: Midsegments, Medians, Altitudes, Angle Bisectors, Perpendicular bisectors, Inequalities in Triangles; Similarity: Proportional Reasoning and Dilations, similar Polygons and Triangles; Right Triangles and Trigonometry: Pythagorean Theorem and its Converse, Special Right Triangles, Trigonometric Ratios and Applications, Law of Sines, Law of Cosines; Circles: Tangents, Chords, Secants, Arcs, Angles, Equations of Circles; Area and Volume: Area of Polygons, Perimeter and Circumference, Surface Area and Volume of Prisms, Cylinders, Cones, Pyramids, and Spheres; Transformations: Translations, Reflections, Rotations, Dilations; Coordinate Geometry: Using Coordinate Plane to Prove Theorems.

Polynomial and Rational Functions: Modeling, Roots, Polynomial Division, Complex Numbers, Graphs of Rational Functions, Rational Inequalities; Exponential and Logarithmic Equations and Functions; Arithmetic and Geometric Sequences; Modeling; Exponential Growth and Decay Applications; Compound Interest;

Trigonometry: Unit circle, Special Angles, Trigonometric Identities, Graphs of Sine and Cosine, Inverse Trigonometric Functions and Applications, Sum and Difference Identities, Law of Sines, Law of Cosines, Trigonometric Equations, Polar Coordinates and the Complex Plane; Polar Functions and their Graphs; Vectors in the XY Plane: Vector Operations, Unit Vectors, Dot Product and its Applications;

Parametric Functions: Vector-Valued Functions, Implicit Functions, Parametric Equations; Matrix Algebra: Matrix Operations, Determinant and its Applications, Linear Systems and Transformations; Conic sections: Circle, Parabolas, Ellipses, and Hyperbolas; Introduction to Calculus: Limits, Instantaneous Rates of Change, Difference Quotient, Basic Derivatives and Integrals

Limits and Continuity: Limits of functions using Numerical, Algebraic, and Graphical Techniques, One-Sided Limits, Limits at Infinity, Infinite Limits, Continuity, types of Discontinuities, Intermediate Value Theorem, Extreme Value Theorem; Differentiation: Definition of the derivative as an instantaneous rate of change and slope of the tangent line, Relationship between Differentiability and Continuity, Basic Derivative Rules; Chain Rule, Implicit Differentiation, Derivatives of Transcendental Functions,

Derivatives of Inverse Functions; Contextual Applications of Differentiation: Linear approximations, Related Rates Problems, Optimization Problems; Analyzing motion, L’Hôpital’s Rule; Analytical Applications of Differentiation: Mean Value Theorem, First and Second Derivative Tests for Local Extrema; Concavity and Points of Inflection; Integration and Accumulation of Change: Antiderivatives, Indefinite Integrals, Basic Integration Rules, Riemann Sums and approximating Integrals, The Fundamental Theorem of Calculus, Properties of Definite Integrals, Integration Techniques;

Differential Equations: Slope Fields, Euler’s Method, Separation of Variables, Logistic Growth Models; Applications of Integration: Area between Curves, Volumes using Disk, Washer, and Shell methods, Arc Length; Parametric, Polar and Vector Functions: Parametric Equations, Polar Equations, Area in Polar Coordinates, Derivatives of Vector Functions, Motion along a Curve, Integrals of Vector Functions; Infinite Sequences and Series: Convergence and Divergence Tests using Integral, Comparison, Ratio, Root, Alternating series, Geometric Series, Taylor and Maclaurin Polynomials, Power Series.