High School Math

Algebra 1 Learning Guide

At the high school level, students continue
to build on the basic foundation developed in grades K-8 mathematics as they expand their understanding through other mathematical experiences. These foundations, which include the understanding of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics, are essential foundations throughout high school mathematics.

Pre-AP Algebra 1 Learning Guide

At the high school level, students continue
to build on the basic foundation developed in grades K-8 mathematics as they expand their understanding through other mathematical experiences. These foundations, which include the understanding of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics, are essential foundations throughout high school mathematics.

Geometry Learning Guide

Students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. In proof and congruence, students will use deductive reasoning to justify, prove and apply theorems about geometric figures. Students will apply theorems about circles to determine relationships between special segments and angles in circles.

Pre-AP Geometry Learning Guide

Students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. In proof and congruence, students will use deductive reasoning to justify, prove and apply theorems about geometric figures. Students will apply theorems about circles to determine relationships between special segments and angles in circles.

Algebraic Reasoning Learning Guide

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.

Algebra 2 Learning Guide

Students will build on the knowledge and skills for mathematics Algebra I. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study logarithmic, square root, cubic, cube root, absolute value, rational functions and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. In addition, students will extend their knowledge of data analysis and numeric and algebraic methods.

Pre-AP Algebra 2 Learning Guide

Students will build on the knowledge and skills for mathematics Algebra I. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study logarithmic, square root, cubic, cube root, absolute value, rational functions and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. In addition, students will extend their knowledge of data analysis and numeric and algebraic methods.

Precalculus Learning Guide

Precalculus is the preparation for calculus. The course 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 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. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems. Students must successfully complete Algebra 2 prior to enrolling in Precalculus.

Pre-AP Precalculus Learning Guide

Precalculus is the preparation for calculus. The course 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 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. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems. Students must successfully complete Algebra 2 prior to enrolling in Precalculus.

Statistics Learning Guide

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. Students will study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. Students will connect data and statistical processes to real-world situations. In addition, students will extend their knowledge of data analysis.

AQR Learning Guide

In Advanced Quantitative Reasoning, students will develop and apply skills necessary for college, careers, and life. Course content consists primarily of applications of high school mathematics concepts to prepare students to become well-educated and highly informed 21st century citizens. Students will develop and apply reasoning, planning, and communication to make decisions and solve problems in applied situations involving numerical reasoning, probability, statistical analysis, finance, mathematical selection, and modeling with algebra, geometry, trigonometry, and discrete mathematics. This course is designed to prepare students for a variety of future paths in college, including the social sciences, computers, business, and health fields. Students must successfully complete Algebra 2 prior to enrolling in AQR.

Other Math Courses

At the high school level, students continue $Rulers$
to build on the basic foundation developed in grades K-8 mathematics as they expand their understanding through other mathematical experiences. These foundations, which include the understanding of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics, are essential foundations throughout high school mathematics.

Independent Study: Dual Credit College Algebra

This course builds upon students’ algebra skills to prepare them for advanced mathematics courses in college. The focus of the course includes the analysis of absolute value equations and inequalities, graphing skills, functions, and the theory of equations and matrices. Successful completion of the course may result in dual credit for both high school graduation and college coursework. A student interested in this course should contact his/her counselor for details regarding prerequisites, requirements, and testing. Students must successfully complete Algebra 2 prior to enrolling in College Algebra.

Advanced Placement Statistics

AP Statistics Scope and Sequence

This is an Advanced Placement course designed to meet the requirements of statistics as outlined in the Course Description of the Advanced Placement Program in Mathematics. The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, planning a study, anticipating patterns, and statistical inference. At the conclusion of this course, students may take the Advanced Placement Statistics Exam.

Math Models with Applications (MMA)

MMA Scope and Sequence

Mathematical Models with Applications is designed to build on the knowledge and skills for mathematics in Algebra I and Geometry. Students learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Students will select from tools such as physical objects; manipulatives; technology, including graphing calculators, data collection devices, and computers; and paper and pencil and from methods such as algebraic techniques, geometric reasoning, patterns, and mental math to solve problems. This course is not open to students who have received credit for either semester of Algebra 2.

Advanced Placement Calculus AB or BC

Calculus AB Scope and Sequence

Calculus BC Scope and Sequence

Online Textbook Resource

These are Advanced Placement courses designed to meet the requirements of Calculus AB or Calculus BC as outlined in the Course Description of the Advanced Placement Program in Mathematics. This course primarily develops the students’ understanding of the concepts of calculus and providing experience with its methods and applications. Topics include limits, derivatives, integrals, and their applications. Calculus BC is an extension of Calculus AB rather than an enhancement. In addition to the topics covered in Calculus AB, this course expands upon the applications of derivatives and integrals. Calculus BC also covers polynomial approximation, sequences, and series. At the conclusion of these courses, students may take the Advanced Placement Calculus Exam. Students may earn credit in either Calculus AB or Calculus BC but not both.