Relationships Between Quantities & Expressions
Focus on building a foundational understanding of algebraic expressions and real-world problem solving using quantities and units. Learn to interpret, simplify, and manipulate expressions, apply the properties of operations, and reason with numerical values—including rational and irrational numbers. Emphasis is placed on understanding units, dimensional analysis, and developing fluency with polynomials and exponents. 

Reasoning with Linear Equations & Inequalities
Develop skills in solving, graphing, and interpreting linear equations and inequalities. Explore one-variable and two-variable equations, analyze systems of equations, and apply problem-solving strategies to real-world scenarios. Introduces function notation, domain and range, and arithmetic sequences as linear functions.

Modeling & Analyzing Quadratic Functions
Explore quadratic functions in various forms—standard, vertex, and factored—to analyze and model real-world situations. Learn to identify key features of parabolas, such as the vertex, axis of symmetry, and intercepts. Learn to solve quadratic equations using factoring, completing the square, and the quadratic formula, and interpret solutions in mathematical and applied contexts. 

Modeling & Analyzing Exponential Functions
Introduces students to exponential functions through real-world contexts involving growth and decay. Learn to apply the laws of exponents to simplify expressions, represent geometric sequences, and distinguish exponential models from linear and quadratic ones. Analyze graphs, identify key features, and interpret the meaning of exponential change in practical situations. 

Comparing and Contrasting Functions
Analyze and compare different types of functions—linear, quadratic, and exponential—using graphs, tables, and equations. Examine key features such as rate of change, intercepts, domain, range, and end behavior to determine the most appropriate model for a given context. Emphasizes recognizing patterns and understanding the relationships between different function families. 

Describing Data (Statistical Reasoning)
Focus on collecting, representing, and interpreting data using statistical tools. Learn to create and analyze dot plots, histograms, and box plots, and summarize data using measures of center and spread. Examine relationships between two variables using scatter plots and lines of best fit, and interpret slope, intercept, and correlation in real-world contexts while distinguishing between correlation and causation.

Polynomials, Construction of Line Segments and Angles
Strengthen algebraic reasoning by performing operations with single-variable polynomials, including addition, subtraction, and multiplication. Study the properties of angles, including the sum and exterior angles of triangles, and explore angle relationships formed when parallel lines are intersected by a transversal. Links algebraic and geometric thinking through algebraic proofs.

Transformations (Translations, Reflections, and Rotations) and Congruence of Triangles
Use regular polygons to understand the definitions and applications of geometric transformations such as translations, reflections, and rotations. Explore how these transformations help establish the congruence of triangles, learning how to map one shape onto another to prove their congruence.

Similarity Between Triangles Using Dilations on Coordinate Planes
Focus on dilations and similarity criteria. Learn how to use dilation properties to scale figures on a coordinate plane and apply similarity theorems to solve problems involving triangles. Use these criteria to prove relationships and solve for missing values in geometric figures.

Right Triangle Trigonometry with Trigonometric Ratios and the Unit Circle
Apply trigonometric ratios (sine, cosine, and tangent) and the Pythagorean Theorem to solve for unknown side lengths and angles in right triangles. Explore the relationship between sine and cosine for complementary angles and build an introductory understanding of the unit circle, preparing them for advanced trigonometry.

Circles
Covers the geometry of circles, including identifying and applying angle relationships formed by chords, tangents, secants, and radii. Study circle theorems and solve problems involving arcs, angles, and segment lengths. Work with the equation of a circle and solve geometric problems involving circles.

Geometric Measurements
Use volume formulas to solve problems involving three-dimensional figures such as prisms, cylinders, pyramids, cones, and spheres. They will solve for the volume of both right and oblique solids, applying these formulas to real-world measurement problems with the mass and density of a solid shape.

Probability
Explore probability concepts including independent and dependent events, as well as mutually exclusive events. Solve probability problems using models like tree diagrams, two-way tables, and Venn diagrams, and apply these strategies to solve both theoretical and practical probability problems. Also includes Permutations and Combinations of the different events.

Quadratics Revisited
Revisit quadratic equations with a deeper focus on solving for complex solutions. Work with complex numbers, extend the understanding of the laws of exponents to include rational exponents, and apply various strategies to solve quadratic equations efficiently.

Operations with Polynomials
Covers multiplying and dividing polynomials, including long division of polynomials by integers. Apply properties of operations such as the distributive property to simplify complex expressions and build fluency in manipulating polynomials.

Polynomial Functions
Study polynomials in-depth by identifying zeros of functions and applying the Fundamental Theorem of Algebra. Learn to graph polynomial functions and analyze key characteristics such as intercepts, degree, and end behavior to interpret and describe polynomial functions.

Rational & Radical Relationships
Explore how to graph rational and radical functions, identifying their key features and transformations. Solve rational and radical equations under a variety of conditions, enhance the ability to analyze and solve non-linear equations.

Exponential & Logarithms
Focuses on revising exponential functions and extend to solve equations using logarithms. Learn to graph logarithmic functions with transformations and inverse of those graphs with domain restrictions. Explore the relationship between exponential and logarithmic functions and learn the key logarithmic rules needed to solve equations and real-world problems.

Matrices
Work with matrices beyond basic 2x2 dimensions. Perform operations such as addition, subtraction, multiplication, and finding the inverse of a matrix. Includes solving systems of equations using matrix methods, preparing them for advanced algebraic applications.

Inferences and Conclusions from Data
Introduces data analysis concepts including visual displays, summary statistics, and probability distributions. Learn how to interpret data collected through surveys, experiments, and simulations, and draw conclusions based on different types of data.