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Section VIII: Course descriptions
Mathematics
Mathematics courses from Algebra I through AP Calculus and Statistics.
On this page 15 topics
Mathematics Courses
These are courses offered by Harmony campuses across Texas. Campus course offerings may vary.
| Course | Grade Level | Prerequisite | Credit |
|---|---|---|---|
| Algebra I | 9 | 8th Grade Math or equivalent | 1 |
| Algebra I Honors/Pre-AP | 8-9 | 8th Grade Math or equivalent | 1 |
| Geometry | 10-11 | Algebra I | 1 |
| Geometry Honors/Pre-AP | 10-11 | Algebra I | 1 |
| Algebraic Reasoning | 10-12 | Algebra I | 1 |
| Algebra II | 11-12 | Algebra I | 1 |
| Algebra II Honors/Pre-AP | 10-12 | Algebra I | 1 |
| Pre-Calculus Honors/Pre-AP | 11-12 | Algebra I, Geometry, Algebra II | 1 |
| AP Pre-Calculus | 10-12 | Algebra 1, Geometry, Algebra II | 1 |
| AP Statistics | 11-12 | Algebra I, Geometry, Algebra II | 1 |
| AP Calculus AB | 11-12 | Pre-Calculus | 1 |
| AP Calculus BC | 11-12 | Pre-Calculus | 1 |
| College Prep Math Course | 12 | Algebra I | 1 |
| Statistics | 11-12 | Algebra I | 1 |
| Digital Electronics (PLTW DE) | 11 | PREQ: Algebra I and Geometry CREQ: None | 1 |
| Robotics II | 12 | Robotics I | 1 |
| Accounting II | 11-12 | Accounting I | 1 |
| Statistics and Business Decision Making | 12 | Alegebra II | 1 |
Algebra I
Prerequisites: 8th grade math or equivalent
This course serves as the foundation for all upper level mathematics courses, and covers the following topics: Solving Equations and Inequalities, Introduction to Functions, Linear Functions, Systems of Equations and Inequalities, Exponents and Radicals, Sequences, Polynomials and Factoring, Quadratic Functions and Equations, Exponential Functions and Equations. Students will connect functions and their associated solutions in both mathematical and real-world situations. They will use technology to collect and explore data and analyze statistical relationships; they will generate and solve linear systems with two equations and two variables, and will create new functions through transformations. Students will also use mathematical relationships to generate solutions and make connections and predictions.
Algebra I Honors/Pre-AP
Prerequisites: 8th grade math or equivalent
This course serves as the foundation for all upper level mathematics courses, and covers the following topics: Solving Equations and Inequalities, Introduction to Functions, Linear Functions, Systems of Equations and Inequalities, Exponents and Radicals, Sequences, Polynomials and Factoring, Quadratic Functions and Equations, Exponential Functions and Equations. Students will connect functions and their associated solutions in both mathematical and real-world situations. They will use technology to collect and explore data and analyze statistical relationships; they will generate and solve linear systems with two equations and two variables, and will create new functions through transformations. Students will also use mathematical relationships to generate solutions and make connections and predictions. Honors Algebra I will include a more in depth study of the topics covered in Algebra I. A strong emphasis is placed on increasing the development of critical thinking and problem solving skills. The intention of this course is to prepare students for AP level math course.
Geometry
Prerequisites: Algebra I
In this course, students will study Transformational Geometry, Parallel and Perpendicular Lines, Relationships within Triangles, Polygons and Quadrilaterals, Congruent Triangles, Surface Area and Volume, Right Triangles and Trigonometry, Probability, Coordinate
Geometry, Similarity, Circle Measurement, Tools of Geometry, Area, Theorems about Circles, Reasoning and Proofs. Students use geometric methods, properties, and relationships as a means to recognize, draw, describe, connect, and analyze shapes and representations in the physical world. Geometry offers students many opportunities to explore geometric situations, properties of two- and three-dimensional objects, and to develop and prove conjectures using a variety of methods.
Geometry Honors/Pre-AP
Prerequisites: Algebra I
In this course, students will study Transformational Geometry, Parallel and Perpendicular Lines, Relationships within Triangles, Polygons and Quadrilaterals, Congruent Triangles, Surface Area and Volume, Right Triangles and Trigonometry, Probability, Coordinate Geometry, Similarity, Circle Measurement, Tools of Geometry, Area, Theorems about Circles, Reasoning and Proofs. Students use geometric methods, properties, and relationships as a means to recognize, draw, describe, connect, and analyze shapes and representations in the physical world. Geometry offers students many opportunities to explore geometric situations, properties of two- and three-dimensional objects, and to develop and prove conjectures using a variety of methods. In Honors Geometry students will extend their work with proofs to include additional theorems and alternative proof approaches. Emphasis will be placed on connections among Geometry and Algebra along with student’s justification of reasoning. This course is intended to prepare students for AP level course work.
Algebra II
Prerequisites: Algebra I
In this course, students will study Functions, Absolute Value Equations and Functions, Systems of Linear Equations, Quadratic Functions and Equations, Square Root Functions and Equations, Exponential and Logarithmic Functions and Equations, Polynomials, Radical Expressions, Cubic and Cube Root Functions and Equations, Rational Functions and Equations, Data. This course reviews and builds on those concepts learned in Algebra I and Geometry by placing more emphasis on applying the basic concepts of Algebra to rational and irrational numbers. The course expands techniques in analytical geometry and trigonometry learned in Geometry as a preview of the next two courses offered. Algebra II is a course which extends the content of Algebra I and provides further development of the concept of a function.
Algebra II Honors/Pre-AP
Prerequisites: Algebra I
In this course, students will study Functions, Absolute Value Equations and Functions, Systems of Linear Equations, Quadratic Functions and Equations, Square Root Functions and Equations, Exponential and Logarithmic Functions and Equations, Polynomials, Radical Expressions, Cubic and Cube Root Functions and Equations, Rational Functions and Equations, Data. This course reviews and builds on those concepts learned in Algebra I and Geometry by placing more emphasis on applying the basic concepts of Algebra to rational and irrational numbers. The course expands techniques in analytical geometry and trigonometry learned in Geometry as a preview of the next two courses offered. Algebra II is a course which extends the content of Algebra I and provides further development of the concept of a function. Honors Algebra II will include a more in depth study of the topics covered in Algebra II. The intent of this course is to prepare students for AP level course work. Algebra II is the required pre-requisite for many fourth year math courses.
Pre-Calculus Honors/Pre-AP
Prerequisites: Algebra I, Geometry, Algebra II
Honors Pre-Calculus is a preparation course for calculus that approaches topics from a function point of view, where appropriate, and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. The study of Honors Pre-Calculus deepens students’ mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. In this course, students will study Equations and Inequalities, Graphs and Functions, Polynomial and Rational Functions, Inverse. Exponential, and Logarithmic Functions, Trigonometric Functions, the Circular Functions and Their Graphs, Trigonometric Identities and Equations, Applications of Trigonometry, Systems and Matrices, Analytic Geometry.
AP Pre-Calculus
Prerequisites: Algebra I, Geometry, Algebra II
In AP Precalculus, students explore everyday situations and phenomena using mathematical tools and lenses. Through regular
practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to observe, explore, and build mathematical meaning from dynamic systems, an important practice for thriving in an ever-changing world. AP Pre-Calculus prepares students for other college-level mathematics and science courses. The framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science. Students study each function type through their graphical, numerical, verbal, and analytical representations and their applications in a variety of contexts.
College Prep Math Course
Prerequisites: Algebra I
This course is designed to support students who do not meet college readiness indicators for mathematics. Course content will focus on strengthening numeracy, algebraic reasoning, and developing understanding of functional relationships. This course is available for seniors only, and aims to prepare seniors for college before they graduate high school. Topics include real numbers, basic geometry, polynomials, factoring, linear equations, inequalities, quadratic equations, rational expressions, factoring techniques, radicals, and algebraic fractions, complex numbers, graphing linear equations and inequalities, quadratic equations, systems of equations, graphing quadratic equations, and an introduction to functions. Algebraic techniques are emphasized in order to successfully complete an entry-level college mathematics course.
Statistics
Prerequisites: Algebra I
In Statistics, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. Students will broaden their knowledge of variability and statistical processes as they study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. They will connect data and statistical processes to real-world situations. In addition, students will extend their knowledge of data analysis. In this course, students will study: statistical process sampling and experimentation, variability, categorical and quantitative data, probability and random variables, inference, bivariate data.
Algebraic Reasoning
Prerequisites: Algebra I
In Algebraic Reasoning, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I, continue with the development of mathematical reasoning related to algebraic understandings and processes, and deepen a foundation for studies in subsequent mathematics courses. Students will broaden their knowledge of functions and relationships, including linear, quadratic, square root, rational, cubic, cube root, exponential, absolute value, and logarithmic functions. Students will study these functions through analysis and application that includes explorations of patterns and structure, number and algebraic methods, and modeling from data using tools that build to workforce and college readiness such as probes, measurement tools, and software tools, including spreadsheets.
AP Statistics
Prerequisites: Algebra I, Geometry, Algebra II
Students are introduced to major concepts and tools for collecting, analyzing, and drawing conclusions from data, and are engaged in collecting, organizing, analyzing, interpreting, and reporting data using statistical formulas and processes. Students distinguish between random and biased sampling, and use statistical measures to analyze real-world phenomena. This course prepares students for the College Board’s Advanced Placement (AP) Statistics Examination for possible college (one-semester, non-calculus based statistics) credit.
AP Calculus AB
Prerequisites: Pre-Calculus
Students explore functions, graphs, limits, derivatives, and integrals. This course prepares students for the College Board’s Advanced Placement (AP) Calculus AB Examination for possible college credit (first semester calculus). Students are advised to take a Calculus course in which they will be challenged, yet will perform successfully. Students may not take Calculus AB followed by Calculus BC.
AP Calculus BC
Prerequisites: Pre-Calculus
Students explore all topics covered in AP Calculus AB plus additional topics including parametric, polar, and vector functions, and polynomial approximations and series. This course prepares students for the College Board’s Advanced Placement (AP) Calculus BC Examination for possible college credit (a full year of calculus). This exam also has a Calculus AB sub-score grade for students to receive first semester college calculus credit. . Students are advised to take a Calculus course in which they will be challenged, yet will perform successfully. Students may not take Calculus AB followed by Calculus BC.