Welcome to Math

Department Liaison: Sheri Bain

Here you will find the course description for each math class at Flagstaff High School.
Algebra I (Prerequisite: Completion of 8th Grade Math or Accelerated 7/8 Math)(Algebra 1 is open to students in grades 8 and 9): This course focuses on the formal definition of functions with particular emphasis on deepening and extending the understanding and application of linear, quadratic and exponential functions. Students will also graph these functions, identify key features, and make use of function transformations. The Arizona Standards for Algebra 1 also include applying linear models to data that exhibit a linear trend as seen through statistics. Appropriate technology will be used to enhance mathematical understanding and problem solving skills.
PreAP Algebra I (Prerequisite: Completion of Accelerated 7/8 Math or 8th Grade Math and teacher recommendation)(PreAP Algebra 1 is open to students in grades 8 and 9): This course focuses on the formal definition of functions with particular emphasis on deepening and extending the understanding and application of linear, quadratic and exponential functions. Students will also graph these functions, identify key features, and make use of function transformations. The Arizona Standards for Algebra 1 also include applying linear models to data that exhibit a linear trend as seen through statistics. Appropriate technology will be used to enhance mathematical understanding and problem solving skills. Beyond the standard Algebra 1 curriculum, students in PreAP Algebra 1 will synthesize skills from critical areas to complete complex application tasks as well as adhere to a higher expectation of understanding and justification of their work in preparation for future Advanced Placement coursework in mathematics.
Geometry (Prerequisite: 1 credit of Algebra 1 (MA50 A/B)(Geometry is open to grades 9 and 10): This course aligns with the Arizona Standards for Geometry by extending the informal geometry work from grade 8 along with the formal mathematics of Algebra 1 in a rich and rigorous learning experience. The geometry course focuses on five critical areas: congruence of geometric figures based on rigid motions, similarity of geometric figures based on dilations and proportional reasoning, develop understanding of informal explanations of circumference, area, and volume formulas, proving geometric theorems, and solve problems involving right triangles. Students will be expected to explain their reasoning and critique the reasoning of others through discourse, writing and modeling. Appropriate tools and technology will be used to enhance mathematical understanding.
PreAP Geometry (Prerequisite: 1 credit of Algebra 1 and teacher recommendation)(PreAP Geometry is open to grades 9 and 10): This course aligns with the Arizona Standards for Geometry by extending the informal geometry work from grade 8 along with the formal mathematics of Algebra I in a rich and rigorous learning experience. The Geometry course focuses on five critical areas: congruence of geometric figures based on rigid motions, similarity of geometric figures based on dilations and proportional reasoning, develop understanding of informal explanations of circumference, area, and volume formulas, proving geometric theorems, and solve problems involving right triangles. Students will be expected to explain their reasoning and critique the reasoning of others through discourse, writing and modeling. Appropriate tools and technology will be used to enhance mathematical understanding. Beyond the standard Geometry curriculum, students in PreAP Geometry will synthesize skills from critical areas to complete complex application tasks as well as adhere to a higher expectation of understanding and justification of their work in preparation for future Advanced Placement coursework in mathematics.
Algebra II (Prerequisite: 1 credit of Algebra 1 and 1 credit of Geometry {or preAP Geometry/PreAP Algebra 1} and teacher recommendation)(Algebra 2 is open to students in grades 10, 11, 12): Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, radical, logarithmic, exponential, and trigonometric functions. The Algebra II course focuses on four critical areas: extending the real number system to the complex number system, solving and interpreting 10 solutions to a variety of equations, inequalities, and systems of equations, demonstrating competency in graphing and interpreting the functions referenced above, and extending simple and compound probability calculations to conditional probability. The Mathematical Practice Standards apply throughout the course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
PreAP Algebra II (Prerequisite: 1 credit of Algebra 1 and 1 credit of PreAP Geometry and a teacher recommendation)(PreAP Algebra II is open to students in grades 9, 10 and 11): Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, radical, logarithmic, exponential, and trigonometric functions. The Algebra II course focuses on four critical areas: extending the real number system to the complex number system, solving and interpreting solutions to a variety of equations, inequalities, and systems of equations. Demonstrating competency in graphing and interpreting the functions referenced above, and extending simple and compound probability calculations to conditional probability. The Mathematical Practice Standards apply throughout the course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. Beyond the standard Algebra II curriculum, students in PreAP Algebra II will synthesize skills from critical areas to complete complex application tasks as well as adhere to a higher expectation of understanding and justification of their work in preparation for future Advanced Placement coursework in mathematics.
Advanced Mathematics Concepts (Prerequisite: C or better in Algebra II or in PreAP Algebra II) (Advanced Mathematics Concepts is open to students in grades 11, 12): This advanced mathematics course extends the learning from Algebra II. Students will focus on deepening their understanding of polynomial, rational, radical and logarithmic and trigonometric functions. Additionally students will learn to use matrices to solve advanced systems of equations. There is an emphasis on the standards for mathematical practice as students build the skills, both in content and in practice for continuing onto Precalculus or College Algebra.
Foundation in Mathematics Concepts (Prerequisite: Personal Curriculum and 1 credit each for Algebra 1 and Geometry)(Survey of Math is open to students in grade 12): This course is designed to fulfill the senior year math requirement for students who have a Personal Curriculum on file at the school. This course will integrate traditional advanced algebra topics with real world applications and technology. A variety of skills from the areas of financial mathematics, applied mathematics, probability, and statistics will be included. Students may be expected to complete projects incorporating many of the concepts addressed throughout the year.
Survey of Mathematics (Prerequisite: Personal Curriculum and 1 credit each for Algebra I and Geometry)(Survey of Mathematics is open to students in grade 12): This course is designed to fulfill the senior year math requirement for students who have a Personal Curriculum on file at the school. This course will integrate traditional advanced Algebra topics with real world applications and technology. A variety of skills from 11 the areas of financial mathematics, applied mathematics, probability, and statistics will be included. Students may be expected to complete projects incorporating many of the concepts addressed throughout the year.
(DE) College Math (Prerequisite Successful completion of Algebra II)(DE College Math is open to students in grade 12): This course is designed to build student awareness and develop a positive attitude, understanding, and confidence using mathematics in the content areas of finance, growth, probability, statistics, and common applications encountered in society. This class is not recommended for students who intend to take PreCalculus the following year. A passing score on the mathematics placement test from Coconino Community College, a score of 450 on the SAT, or a score of 17 on the ACT mathematics sections is required to qualify for dual enrollment credit with CCC (MAT 140).
(DE) PreAP PreCalculus (Prerequisite: Successful completion of PreAP Algebra II or Algebra II and teacher recommendation)(DE PreAP PreCalculus is open to students in grades 11 and 12): Students will extend their understandings of previously studied topics in the Algebra II curriculum such as complex numbers, functions, polynomials and rational functions, translations, exponential and logarithmic functions, the trigonometry unit circle. Additionally, students will explore concepts in trigonometry (including analytic trig, and additional topics in trigonometry), conic sections, matrices and determinants, binomial expansion, vectors and applications, sequences and series. The Mathematical Practice Standards apply throughout the course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. Students will synthesize skills from critical areas to complete complex application tasks as well as adhere to a deeper level of understanding and justification of their work in preparation for future Advanced Placement coursework in mathematics.
AP Calculus 1 A/B (Prerequisite successful completion of PreAP PreCalculus)(AP Calculus & DE AP Calculus is open to students in grades 11 and 12): This course will cover first semester College Calculus and provides a study of the concepts of function, limit, continuity, derivative, integral and their applications to realworld situations. Students will synthesize skills from critical areas to complete complex application tasks as well as adhere to a higher expectation of understanding and justification of their work. Students may earn 36 hours college credit based on the score received on the National Advanced Placement Calculus A/B exam. All students are expected to take the exam.
AP Calculus 2 B/C (Prerequisite: successful completion of AP Calculus 1)(AP Calculus 2 & DE Calculus is open to students in grades 11 and 12): This course will review the entire year of AP Calculus the first semester, and then will cover the second semester college calculus topics such as integration by parts, improper integrals, partial fractions, infinite series, and conics. Students will synthesize skills from critical areas to complete complex application tasks as well as adhere to a higher understanding of explanation and justification of their work. Students may earn 36 hours college credit based on the score received on the National Advanced Placement Calculus B/C exam. All students are expected to take the exam.
AP Statistics (Prerequisite: successful completion of Algebra II or PreAP Algebra II)(AP Statistics is open to students in grades 11 and 12): This course is equivalent to a noncalculus based college course in statistics. The graphical and quantitative description of data we will explore include: binomial, normal and tdistributions, one and twosample hypothesis tests and confidence interval and simple regression and correlation. Students will be expected to plan and conduct a study from which they will do an analysis and make statistical inferences. Students may earn 3 hours college credit depending on their score on the National Advanced Placement Statistics test. All students are expected to take the AP exam.
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