STEMB: Math

This course is an introduction to the math connections curriculum. It reinforces arithmetic skills, developing the algebra concepts of variable recognition, signed numbers, formulas and single variable equations. Students will be introduced to algebraic symbolism, simplifying expressions, solutions to elementary equations, and the graphic representations associated with variables. This course emphasizes the concepts necessary to be successful in Integrated Algebra I. 

Prerequisite: Successful completion of Pre-Algebra 

At Bow High School, Integrated Algebra I is the first of a sequence of three courses that will cover the curriculum of a traditional Algebra I, Geometry, and Algebra II sequence using a non-traditional approach. The philosophy of the sequence is that algebraic thought, geometric thought, and data analysis are naturally connected. Successful completion of the three-year sequence will prepare students to pursue Pre-Calculus. Throughout the course of this three year sequence, students will explore linear, absolute value, probability topics, and exponential relationships through data collection and analysis. In Integrated Algebra I, the emphasis will be on linear relationships. In addition, students will learn techniques for solving the types of equations listed above both graphically and algebraically (excluding exponential, which will be covered in Integrated Algebra II). Also, students will become proficient in traditional symbol manipulation which is characteristic of algebra. In addition, problem solving strategies and communication of mathematics in both written and oral form, and the appropriate use of technology such as graphing calculators and computer programs are strands which will permeate the entire course. 

Prerequisite: Successful completion of Integrated Algebra I 

At Bow High School, Integrated Geometry is the second of a sequence of three courses that will cover the curriculum of a traditional Algebra I, Geometry, and Algebra II sequence using a non-traditional approach. The philosophy of the sequence is that algebraic thought, geometric thought, and data analysis are naturally connected. Successful completion of the three-year se-quence will prepare students to pursue Pre-Calculus. Integrated Geometry is a course in which students will study the relationships among shapes and solids with the primary focus on Euclidean geometry and coordinate geometry. Topics include perimeter, area, volume, probability topics, ratio and proportion, similarity, congruence, trigonometry, circles, properties of two and three dimensional shapes, and introductory logical reasoning. In addition, problem solving strategies, probability, and communication of mathematics in both written and oral form, and the appropriate use of technology such as graphing calculators, animations, and online simulations are strands which will permeate the entire course.

Pre-requisites: Successful completion of Integrated Algebra 1 and Integrated Geometry

This year-long course is designed to review linear algebra topics and expose the student to an introduction in non-linear algebra topics. The topics covered include: graphing and solving linear functions; systems of linear equations and inequalities; rules and applications of exponents; operations on polynomial expressions; factoring first and second degree polynomials; and an introduction to quadratic equations.  Applications are emphasized throughout the course. 

Prerequisites: Successful completion of Integrated Algebra I and Integrated Geometry 

At Bow High School, Integrated Algebra II is the third of a sequence of three courses that will cover the curriculum of a traditional Algebra I, Geometry, and Algebra II sequence using a non-traditional approach. The philosophy of the sequence is that algebraic thought, geometric thought, and data analysis are naturally connected. Successful completion of the three-year sequence will prepare students to pursue Pre-Calculus. Integrated Algebra II is a course in which students will explore linear, absolute value, polynomial, exponential, and rational relationships and functions through data collection and analysis. Students will create techniques for solving and graphing the functions listed above. The focus will be on non-linear relationships. In addition, the number system will be extended to include complex numbers, which are needed to solve quadratic equations. In addition, problem solving, data analysis, communication of mathematics in both written and oral form, and the appropriate use of technology such as  TI-84/84+ graphing calculator and desmos are strands which will permeate the entire course. 

Prerequisite: Successful completion of Integrated Algebra II 

Students will extend, integrate, and apply Algebra II and Geometry related skills and concepts in preparation for Calculus. Topics include: conic sections, composition of functions & inverse of a function, higher order inequalities, exponential & logarithmic function, the nature of graphs (transformations, asymptotes, symmetry, etc.). Trigonometric topics include: right triangle trigonometry, circular functions, graphs of the periodic functions, laws of sines and cosines, solving trigonometric equations, inverse trigonometric functions, identities, polar coordinates. In addition, problem solving, data analysis, communication of mathematics in both written and oral form, and the appropriate use of technology are strands, which will permeate the entire course. The Bow High School mathematics department encourages pre-calculus students to purchase their own  TI-84/84+ graphing calculator, or an equivalent thereof.

Prerequisite: Successful completion of Integrated Algebra II 

This course is an introduction to formal mathematics. In this course the study of formal logic is used to write rigorous proofs of mathematical statements. Concepts from Sets, Logic, formal Proofs, and an introduction to other topics in higher mathematics will be studied. It will stress the development of proof writing skills and includes techniques like direct proof, proof by contradictions, proof by contrapositive, rules of inference, induction and more! Q.E.D. an abbreviation of the latin phrase quod erat demonstrandum, loosely translated to “what was to be demonstrated” is a declaration that one has established a mathematical truth. Explore the wonderful world of formal mathematics and you too can declare Q.E.D! 

Prerequisite: Successful completion of Integrated Algebra II 

Dual Enrollment Option Available for Juniors and Seniors 

This course is designed to expose the student to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include: number theory and systems; functions and modeling; finance; geometry; measurement; probability; statistics; selected subtopics related to the student’s major field of study. Course Requirement: Students must complete Integrated Algebra II in order to complete Quantitative Reasoning for dual enrollment credit. TI-84 Plus graphing calculator is recommended. 

Prerequisite: Successful completion of Integrated Algebra II with Teacher Recommendation 

Dual Enrollment Option Available for Juniors and Seniors 

AP Statistics immerses students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will frequently work on projects involving the hands-on gathering and analysis of real world data. Ideas and computations presented in this course have immediate links and connections with actual events, experiments and research. Computers and calculators will assist students in their deepened work on the concepts involved in statistics. Students may receive college credit for this course by successfully passing the AP Exam in May (a course expectation). Summer work is required. TI-84 Plus graphing calculator is recommended. 

Prerequisite: Successful completion of Pre-Calculus with Teacher Recommendation

Dual Enrollment Option Available for Juniors and Seniors 

Teacher recommendation is suggested for this course. Summer work is required. In this course we will build conceptual understanding of topics by combining graphical, numerical, and algebraic viewpoints. This strategy will permeate all areas of study so that you will gain a deep and useful understanding of the topics of differential and integral calculus. The spectrum of applications will be broad, ranging from the life & social sciences to business & economics to science & engineering. Topics will include limits and continuity; derivatives of algebraic, trigonometric, and transcendental functions; applications of the first and second derivative; integrals of algebraic, trigonometric, and transcendental functions; applications of integrals; and separable differential equations. Students are expected to successfully conquer the Calculus AB AP exam in May. Students should own a TI-84 Plus graphing calculator. 

Prerequisite: Successful completion of Advanced Placement Calculus I with Teacher Recommendation

Dual Enrollment Option Available for Juniors and Seniors 

In this course we will build upon the knowledge gained in Advanced Placement Calculus I, by extending those concepts in the consideration of a broader spectrum of equations and to introduce the topic of sequences and series. Topics include: indefinite integration; the definite integral; the Fundamental Theorem of Calculus; integrals of elementary transcendental functions; techniques of integration; polar coordinates; and power series including Taylor series. Applications will be stressed throughout the course including: area; volumes of revolution; centroids; and moments of inertia. Students should own a TI-84 Plus graphing calculator. 

Prerequisite:  Successful completion of Integrated Algebra II

This course provides students with the fundamental concepts of statistical analysis and probability through looking at sports data and application. Topics will include descriptive statistical concepts and methods, inferential statistical concepts and methods, probability, and probability distributions.