Relationships Between Quantities & Expressions
Students focus on building a foundational understanding of algebraic expressions and real-world problem solving using quantities and units. Students 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
Student will develop skills in solving, graphing, and interpreting linear equations and inequalities. Learners explore one-variable and two-variable equations, analyze systems of equations, and apply problem-solving strategies to real-world scenarios. The unit also introduces function notation, domain and range, and arithmetic sequences as linear functions.

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

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

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

Describing Data (Statistical Reasoning)
Students focus on collecting, representing, and interpreting data using statistical tools. Students create and analyze dot plots, histograms, and box plots, and summarize data using measures of center and spread. They 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
Students will strengthen algebraic reasoning by performing operations with single-variable polynomials, including addition, subtraction, and multiplication. They will also 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. This foundation links algebraic and geometric thinking through algebraic proofs.

Transformations (Translations, Reflections, and Rotations) and Congruence of Triangles
Students will use regular polygons to understand the definitions and applications of geometric transformations such as translations, reflections, and rotations. They will 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
Students focus on dilations and similarity criteria. Students will learn how to use dilation properties to scale figures on a coordinate plane and apply similarity theorems to solve problems involving triangles. They will use these criteria to prove relationships and solve for missing values in geometric figures.

Right Triangle Trigonometry with Trigonometric Ratios and the Unit Circle
Students will apply trigonometric ratios (sine, cosine, and tangent) and the Pythagorean Theorem to solve for unknown side lengths and angles in right triangles. They will also 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
This covers the geometry of circles, including identifying and applying angle relationships formed by chords, tangents, secants, and radii. Students will study circle theorems and solve problems involving arcs, angles, and segment lengths. They’ll also work with the equation of a circle and solve geometric problems involving circles.

Geometric Measurements
Students will 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.

Probability
Students will explore probability concepts including independent and dependent events, as well as mutually exclusive events. They will 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.

Quadratics Revisited
Students will revisit quadratic equations with a deeper focus on solving for complex solutions. They'll work with complex numbers, extend their understanding of the laws of exponents to include rational exponents, and apply various strategies to solve quadratic equations efficiently.

Operations with Polynomials
This week covers multiplying and dividing polynomials, including long division of polynomials by integers. Students will apply properties of operations such as the distributive property to simplify complex expressions and build fluency in manipulating polynomials.

Polynomial Functions
Students will study polynomials in-depth by identifying zeros of functions and applying the Fundamental Theorem of Algebra. They'll 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
Students will explore how to graph rational and radical functions, identifying their key features and transformations. They’ll solve rational and radical equations under a variety of conditions, enhancing their ability to analyze and solve non-linear equations.

Exponential & Logarithms
This week focuses on revising exponential functions and extending them to solve equations using logarithms. Students will explore the relationship between exponential and logarithmic functions and learn the key logarithmic rules needed to solve equations and real-world problems.

Matrices
Students will work with matrices beyond basic 2x2 dimensions. They’ll perform operations such as addition, subtraction, multiplication, and finding the inverse of a matrix. This week also includes solving systems of equations using matrix methods, preparing them for advanced algebraic applications.

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