This course is designed to provide students with the basic mathematical knowledge and problem-solving skills they need to succeed in Pre-Algebra. The course aims to help students master the key concepts and applications of Mathematics and will also provide strategies for studying and taking notes to support their learning. The course will focus on three key areas of development.
This course is designed to give students a strong foundation in algebra, geometry, and problem-solving, which are essential for success in more advanced math courses. The goal is to help students master the concepts and applications necessary for a robust understanding of mathematics. Additionally, students will develop study and note-taking skills to enhance their learning experience. The course will focus on three main areas of developmental learning.
Authorized College Board™ course
This is an official Pre-AP Algebra I course authorized by the College Board™ in 2018. During the two-semester course, students will learn to analyze and understand patterns of change in linear relationships, create various representations of functions and equations, and apply mathematical concepts to real-world scenarios. As per the Pre-AP Algebra 1 syllabus, students will study the writing, solving, and graphing of linear and quadratic equations and functions, systems of linear equations, inequalities, and exponential functions and equations. Additionally, students will also learn to handle monomial and polynomial expressions and functions, rational expressions and functions, and radical expressions and functions. The skills learned in algebra will be utilized to solve a wide range of problems.
This course focuses on helping students develop a strong understanding of geometry through the use of formal mathematical proofs and logical reasoning. Students will learn how to approach problems using different proof techniques, including direct proof, indirect proof, proof by induction, proof by contradiction, and proof by construction. This knowledge will be key to their success in the course. The course will cover topics such as congruence and similarity of triangles and other polygon shapes, properties of parallel and perpendicular lines and the angles associated with them, formulas for different types of plane and solid figures, and coordinate geometry. Additionally, students will be introduced to the basics of triangle trigonometry.
This is a one-year college prep course that meets state graduation requirements. This course includes the following topics: An overview of functions (linear, quadratic, and exponential) in function form, graphs, and tables; Linear equations and inequalities in one and two variables; Geometric constructions; Congruence and rigid motions; Geometric relationships and properties of triangles, parallel lines, quadrilaterals, and circles; Analyzing and interpreting data in one and two variables.
This is a one-year college prep course that meets state graduation requirements. This course includes the following topics: Similarity; Coordinate geometry; Trigonometric ratios; Quadratic functions; Quadratic equations; Probability.
Prerequisite: Math 1/Algebra 1
The following units will be covered in Integrated Math 3: Statistics (Random Processes), Circles and Conics, Trigonometric Functions, Exponential Functions, Functions Capstone, Rational, and Polynomial Expressions. This course will complete the 3-year Integrated Math series and includes remaining High School Common Core Math Standards that are not covered in Math 1 and Math 2.
Prerequisites: Math 2/Geometry Co-requisites: Math 2 equivalent (from middle school)
This course is intended for students who have successfully completed Algebra II and Trigonometry. It will offer an extensive study of all the essential topics required for the AP Calculus AB or BC exam. Throughout the course, students will engage in problem-solving, logical reasoning, connecting ideas, and mathematically communicating as they investigate various families of functions and their properties, including polynomials, rational functions, exponential and logarithmic functions, trigonometric functions, and analytical trigonometry. They will also study matrix operations, analytical geometry and parametric equations, polar equations, vectors, probability, sequences, and the basics of Calculus, such as limits, derivatives, and integrals. The course will culminate with a research project that connects the concepts covered in class to a practical, real-world application.
This course is a comprehensive, year-long program in differential and integral calculus that is equivalent to a college-level Calculus I and Calculus II course. Students will delve into the study of functions, graphs, limits, derivatives, and integrals as described in the AP Calculus course outline. The aim is for students to master the basics of calculus and achieve success on the AP Calculus AB exam, as well as be well-prepared for advanced mathematics courses. This course will cover topics such as a review of crucial precalculus concepts, limits and continuity, derivatives, applications of derivatives in Physics and finance, implicit differentiation, related rates, integration, integration applications in Physics and other areas, slope fields, curve sketching, differential equations, improper integrals, polar and parametric functions, and the convergence of series and polynomial approximation.
The Algebra II/Trigonometry course is designed as a prerequisite for Precalculus H. It covers topics such as the real number system, linear equations and inequalities with two or three variables, polynomials, complex numbers, and rational expressions. The students will delve into the concepts of relations and functions, focusing on linear, quadratic, exponential, logarithmic functions, conic sections, probability, and matrix algebra. Additionally, they will extensively study trigonometric functions, including inverse trigonometry, trigonometric equations, trigonometric identities, and applications of trigonometry.
This course is a branch of mathematics that deals with the properties of functions, limits, derivatives, and integrals. It is also known as Real Analysis or Advanced Calculus and is a higher-level course that is usually taken after Calculus. Math Analysis is a fundamental subject in mathematics that provides a rigorous treatment of the concepts of continuity, smoothness, and infinite processes. The study of Math Analysis is essential for students who plan to pursue careers in mathematics, physics, engineering, or other related fields, as it provides a strong foundation in the mathematical concepts and methods needed for advanced studies.
AP Statistics is a high school course that serves as the equivalent of a college-level introduction to statistics. The course covers four key themes: exploring data, designing studies, using probability models and simulations, and making statistical inferences. Students will learn how to collect, organize, analyze, and interpret data, as well as how to design and conduct surveys and experiments. They will also learn about probability, simulations, sampling distributions, confidence intervals, and hypothesis tests. The course may use a TI-83 graphing calculator, statistical software (Minitab), and online java applets and activities to help students understand statistical concepts. Students will be required to regularly write and present analyses of real data to enhance their communication skills.
This yearlong introductory lab science explores core concepts in biology and the relevancy of these topics to the lives of students. Students will explore basic biochemistry, principles of ecology, conservation biology and the impacts of climate change on ecosystems, cell structure and function, metabolism and energy transformation, cell division and the regulation of the cell cycle, and classical genetics. The second semester will cover topics in molecular biology, evolution and classification, organismal biology, and anatomy and physiology.
This course emphasizes both a conceptual and quantitative understanding of chemistry. Atomic theory, chemical bonding, acid-base behavior, oxidation-reduction and other kinds of reactions are studied. Students conduct many laboratory experiments to develop an understanding of chemical principles as related to everyday life.
This introductory physics course includes the study of motion, forces, momentum, energy, electric charge, circuits, magnetism and waves. The emphasis is on conceptualization and rigorous problem-solving. Analysis of experimental data is used to construct mathematical and conceptual models. Lab activities and demonstrations are major components of the course.
