Math

MAT 101: Algebra 1
Full-year course (1 credit)
College Prep
This course includes the solution of linear equations and inequalities, graphing, factoring, rational expressions, real numbers, and higher degree polynomials. This course will culminate in an introduction to the Quadratic Equation. Throughout the course, students will gain knowledge and harness skills from a wide range of mathematical concepts, primarily the ones aforementioned, that will enable their success in the topics covered in this course and in their math courses ahead. Students will be given opportunities to display creativity by demonstrating different ways of reaching a solution, to develop collaboration skills by regularly working with classmates, to practice critical-thinking by taking what we learn and applying it outside of our classroom, and to communicate effectively by participating in class discussions and explaining one’s thinking. Adversity is often a part of math, so each student’s character will evolve as they will be expected to strengthen their resiliency. Students will also reflect on their learning through engagement self-assessments and post-test surveys about their study habits.

MAT 201: Geometry
Full-year course (1 credit) 
College Prep
Geometry is a year-long course that introduces Kents Hill students to geometric reasoning as a process for problem-solving. In this course, students will explore the theorems and properties of geometric figures such as circles, triangles, lines, and many other polygons. While gaining knowledge of and speaking a new mathematical language, students will learn to think critically and rationally. While later adding trigonometry, material will become more visual and the course will explore problem-solving methods that are more formal and concept based. Prerequisite: MAT 101: Algebra 1.

MAT 211: Honors Geometry
Full-year course (1 credit) 
Honors
Honors Geometry is a year-long course that delves more deeply, at an accelerated pace than topics covered in College Prep Geometry. This course introduces Kents Hill students to geometric reasoning as a process for problem solving. In this course, students will explore the theorems and properties of geometric figures such as circles, triangles, lines, and many other polygons. While gaining knowledge of and speaking a new mathematical language, students will learn to think critically and rationally. While later adding trigonometry, surface area, and volume, material will become more visual and the course will explore problem solving methods that are more formal and concept based. Prerequisite: MAT 101: Algebra 1.

MAT 301: Algebra 2
Full-year course (1 credit)
College Prep
This course includes the study of second-degree equations and inequalities, factoring, the quadratic formula, exponents, complex numbers, logarithms, functions, right triangle trigonometry and conic sections. Prerequisite: Algebra 1 and Geometry. The first half of this course delves deeper into the concepts that were introduced in MAT 101.  Students will continue to work collaborative work and explore alternative methods of solving problems. Discussions of core values and how they relate to academic work will be included. During the second half of the course, students will begin the exploration of higher-level math concepts.  Developing the ability to communicate and reflect on one’s solutions and the process used are practiced. Prerequisite: MAT 101: Algebra 1.

MAT 311: Honors Algebra 2
Full-year course (1 credit) 
Honors
Honors Algebra 2 is a rigorous course that includes the study of second-degree equations and inequalities, factoring, the quadratic formula, exponents, complex numbers, logarithms, functions, right triangle trigonometry and conic sections with a greater emphasis on functions and graphing than the college prep level course. Students will become proficient at using a graphing calculator and being able to explain the process they have used for problem solving. Through a project-based unit, students will also conduct research and apply their skills to design a small house that is accessible and affordable. Prerequisite: MAT 101: Algebra 1.

MAT 411: Statistics and Probability
Full-year course (1 credit) 
College Prep
Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four major components of the course are: describing data, finding ways to display and explain what one or more variable data means; collecting data, looking at how to gather data randomly and without bias to the extent that is possible; probability, looking at the mathematical rules that govern the behavior of random events; and those three culminate with the study of statistical inference, estimating population parameters and testing hypotheses. The pace of this course may vary and will allow for deeper investigation of topics that interest the class and will include a larger focus on utilizing technology. Prerequisites: MAT 201: Geometry and MAT 301: Algebra 2.

MAT 421: Precalculus
Full-year course (1 credit) 
College Prep
Precalculus builds on the skills students have gained in Algebra 1, Geometry, and Algebra 2 as they increase their knowledge of graphing inverse, quadratic, and higher degree functions. Throughout the course, they will analyze exponential and logarithmic functions and culminate with a deep dive into the study of Trigonometry. In Precalculus students will work to communicate clearly through words, numbers, and graphs and think critically about where these topics will help them in the real world. Prerequisites: MAT 201: Geometry and MAT 301: Algebra 2.

MAT 431: Honors Precalculus
Full-year course (1 credit) 
Honors
In preparation to take AP Calculus, this honors-level Precalculus course is conducted at an accelerated pace compared with that of College-Prep Precalculus. There is an expectation that students will have previously mastered graphing of functions, polynomial functions, and transformations. Students will gain knowledge of exponential and logarithmic functions, Trigonometry, and Analytic Geometry while incorporating skills gained in prior math courses. The Honors course will cover additional topics over that of College-Prep, including Sequences, Series, & Probability and Limits & an Intro to Calculus. Throughout the course, students will work to communicate clearly through words, numbers, and graphs and think critically about where these topics will help them in the real world. Prerequisites: MAT 201 Geometry and MAT 311: Honors Algebra 2.

MAT 501: Calculus
Full-year course (1 credit)
College Prep
This course is designed as an introduction to Calculus before entering higher-level math in college. Students will incorporate both skills and knowledge from Algebra 2 and Precalculus as they build connections with new mathematical topics of limits, derivatives, and integrals. Because this course is not driven by the external AP Curriculum, this class gives students great flexibility in depth and breadth of topics. Calculus will require students to make connections with the outside world and think critically about how each of the topics helps them to better understand the world around them. Prerequisite: MAT 421: Precalculus and Instructor permission.

MAT 521: AP Calculus (AB)
Full-year course (1 credit)
Advanced Placement
This course follows the Advanced Placement (AP) Calculus AB syllabus, designed to prepare the students for the AP exam in May. Topics include limits, derivatives, integrals, and the Fundamental Theorem of Calculus. Students will learn to use these techniques for solving instantaneous rate of change, deepen understanding of exponential growth and decay, finding areas of regions, and volumes of solids.  Students are required to sit the AP Exam in May. Prerequisites: MAT 431: Honors Precalculus. Instructor permission required.

MAT 541: AP Statistics
Full-year course (1 credit) 
Advanced Placement
This course follows the Advanced Placement (AP) Statistics syllabus and introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four major components of the course are: describing data, finding ways to display and explain what one or more variable data means; collecting data, looking at how to gather data randomly and without bias to the extent that is possible; probability, looking at the mathematical rules that govern the behavior of random events; and those three culminate with the study of statistical inference, estimating population parameters and testing hypothesis. A Tl calculator is required. Students are required to sit the AP Exam in May. Prerequisites: MAT 301 Algebra 2. Instructor permission required.