# Course Catalog

Mathematics

• Talk to your current teacher for a recommendation
• Make sure you have strong skills in the prerequisite knowledge areas
• Assess the difficulty, time & effort needed to succeed in the next class
• Think about what you want to do after high school; do you need a strong mathematics background?

Expected average workload by course level:

Credit Hours:

College Prep

½ -1 hour of homework

Full Year Class

2 math credits

Honors

1-2 hours of homework

½ Year/Semester Class

1 math credit

1 ½ - 2 ½ hours homework

Daily Single Class

2 math credits AND

2 elective credits

Dual Enrollment (DE)

1-2 hours of homework

Daily Double Class

4 math credits

Graduation Requirement of 6 credits/3 UP in Math

Mathematics Course Offerings with Progression and Prerequisites

Honors AMP 1

Honors AMP 2

Calculus AB

Calculus BC

Honors Algebra 1

Honors Algebra 2

Honors Geometry

Honors PreCalculus

Honors Algebra 1

Honors Geometry

AND

Honors Algebra 2

Honors PreCalculus

Dual Enrollment (DE) Honors Calculus

OR

Calculus AB

College Prep

Algebra 1

College Prep

Algebra 2

College Prep Geometry

College Prep Functions, Statistics, Trig (FST)

Pre-Algebra

College Prep Algebra 1

College Prep Algebra 2

College Prep Geometry

Honors PreCalculus

OR

College Prep FST

(one can be concurrent with Honors Statistics)

Dual Enrollment (DE) Honors Statistics

College Prep Functions, Statistics, Trig (FST) AND Honors Statistics

OR

Honors PreCalculus AND Honors Statistics

### Pre-Algebra

Course Number:  2414 (every other day all year)

Prerequisite:  Teacher recommendation

Credit: 2 math credits

This course is designed to reinforce numeracy skills including operations with fractions, decimals and percents. Students will be assessed on problem solving and data analysis: the ability to create a representation of a problem, attend to the meaning of quantities, and know and use different properties of operations and objects, quantitative reasoning about ratios, rates, and proportional relationships and understanding and applying unit rates.

### College Prep Algebra 1 (9)

Course Number:  2417D1-9 and 2417D2-9 (daily year long)

Credit:  2 Math Credits awarded at the end of the year /2 UP

This course uses the John Hopkins model to reinforce and encourage students’ conceptual understanding of key ideas that underlie all high school mathematics and sharpen their overall basic mathematical skills. The course challenges students to think through and understand what they are doing, learn from one another, communicate and respect ideas, and make connections between mathematics and the world. Students will learn the key Algebra concepts that are most essential for success in college and career and will be assessed on solving equations and inequalities, operations of polynomials and systems of equations.

### Honors Algebra 1

Course Number:  2411-9 (every other day all year)

Credit:  2 Math Credits, full year / 1 UP

This course focuses, strongly and moves quickly through Algebra and the key concepts that are most essential for success in college and career.  Students will be assessed on their ability to analyze, fluently solve, and create linear equations and inequalities. Students will also be expected to analyze and fluently solve equations and systems of equations using multiple techniques.

### Honors AMP 1 - Route to Calculus BC (Honors Algebra 2 w/ advanced functions)

Course Number:  2410 (every other day all year)

Prerequisite:  Completion of Algebra 1 standards and 8th grade teacher recommendation

Students must have excellent numeracy skills as well as deep prior knowledge in the algebra 1 skills of linear expressions, equations and inequalities, (including absolute values) systems of equations, polynomial operations, 1 and 2 variable statistics, graphical representations and symbolic manipulations.Students must have a passion for mathematics, as well as the ability to comprehend at a rapid pace.

Credit: 2 Math Credits, full year / 1UP

This course is designed to move rapidly and rigorously through an advanced Algebra 2 curriculum. This course is for the student who is planning on going into a STEM major in college and desires to take Calculus BC during high school. The course extends the concepts and skills developed in Algebra 1 and emphasizes the study of number sets, systems of equations, augmented matrices, exponentiation, properties of logs, inverse relationships, factoring and solving higher degree polynomials, polynomial division, simplifying rational expressions, functions and relations including: linear, quadratic, absolute value, exponential, logarithmic, and rational. There is a heavy emphasis on graphing and modeling functions. Graphing calculators will be utilized extensively.

### College Prep Algebra 1 (10-12)

Course Number:  2412D1 and 2412D2 (daily year long)

Prerequisite:  Pre-Algebra

Credit:  2 Math Credits awarded at the end of the year / 2 UP

This course uses the John Hopkins model to reinforce and encourage students’ conceptual understanding of key ideas that underlie all high school mathematics and sharpen their overall basic mathematical skills. The course challenges students to think through and understand what they are doing, learn from one another, communicate and respect ideas, and make connections between mathematics and the world. Students will learn the key Algebra concepts that are most essential for success in college and career and will be assessed on solving equations and inequalities, operations of polynomials and systems of equations.

### College Prep Algebra 2

Course Number:  2432

Prerequisites:   Algebra 1

Credit:   2 Math Credits, full year / 1 UP

This course extends the concepts and skills learned in Algebra 1. Students will have an understanding of the structure of expressions and the ability to analyze, manipulate, and rewrite these expressions. Reasoning with more complex equations (quadratic), and interpreting and building functions. Students will understand the relationship between zeros and factors of polynomials, use function notation, and interpret statements using function notation, as well as understand the relationship between zeros and factors of polynomials.

### Honors Algebra 2

Course Number:  2431

Prerequisites: Algebra I

Credit:  2 Math Credits, full year / 1 UP

A student should be able to learn at a quick pace as well as excel in the areas of manipulating expressions, solving equations and systems of equations, functions, exponent rules, polynomials and factoring quadratics. Students should also have an understanding of radicals. This course emphasizes facility with algebraic expressions and forms, especially linear and quadratic forms, powers and roots, and functions based on these concepts. Students will study in depth linear, quadratic, exponential and piecewise defined functions, inverse functions, logarithms, rational expressions, polynomials and other functions both for their abstract properties and as tools for modeling real-world situations.

### College Prep Geometry

Course Number:  2422

Prerequisites:    Algebra 1 & 2

For a student to be successful in this course they should be proficient in the areas of manipulating algebraic expressions and formulas, solving more complex equations, graphing, and radicals.

Credit: 2 Math Credits, full year / 1 UP

This course uses the concepts and skills learned throughout Algebra to explore the unknowns of geometry. Topics include: the Pythagorean theorem to solve applied problems involving right triangles, theorems about circles to find arc lengths, angle measures, chord lengths, and areas of sectors, concepts and theorems about congruence and similarity to solve problems about lines, angles, and triangles, relationships between similarity and right triangles to create an equation and properties of an equation of a circle and the  property of the circle’s graph.

### Honors Geometry

Course Number:  2421

Prerequisites:  Algebra 1 & Honors Algebra 2

For a student to be successful in this course they should be able to learn at a quick pace as well as excel in the areas of solving linear equations, solving systems of linear equations, solving quadratic equations, and simplifying exponents and radicals.

Credit:  2 Math Credits, full year / 1 UP

This course is a rigorous Euclidean geometry course with an introduction to proofs and a strong emphasis on analytic solutions. Topics include parallel and perpendicular lines, congruent and similar figures, right triangle geometry and trigonometry, circles, areas and volumes, and linear coordinate geometry. Scientific calculators are needed.

### College Prep Algebra 2 and Geometry

Course Number:  2432D1 and 2422D2 (Daily year long)

Prerequisites: Completion of Algebra 1

For a student to be successful in this course they should be proficient in order of operations, simplifying expressions, solving equations, graphing linear equations, and have some knowledge of exponent rules and factoring

Credit:  2 Math credits per semester/ meets daily /2 UP

This course is an everyday class that is designed to help students who need to work methodically through the material.This course is available to juniors or seniors who need to catch up with their math credit. In the first semester students will develop their skills in the areas of solving equations, relations, functions and polynomials. Students will explore quadratic functions and their graphs, synthetic division, imaginary numbers, complex numbers.  In the second semester, students will explore topics such as the points, lines and planes, congruent and similar triangles, polygons, circles, area, volume, and right triangle modeling

### College Prep FST Functions, Statistics, & Trigonometry

Course Number:  2442

Prerequisites: Algebra 1, Algebra 2, Geometry

For a student to be successful in this course they should be proficient in all topics covered in Algebra 1, Algebra 2 & Geometry, with a good work ethic.

Credit: 2 Math Credits, full year /1UP

This course is designed to give students a look into three areas of mathematics. The first half of the year is a concentration on trigonometry. Topics include the unit circle, trig functions, their inverses and graphs, special right triangles, angles of depression & elevation, law of sine and cosine. The third quarter is an extension of Algebra 2 looking more in depth at rational expressions, exponents, equations & functions, logarithms, sequences and series.  The final quarter is an introduction to statistics. Learning the basics in collecting data, basic graphs and describing raw data.

### Honors Pre-Calculus

Course Number:  2441

Prerequisites:  Honors Algebra 1, Honors Algebra 2 & Honors Geometry

For a student to be successful in this course they should be able to learn at a quick pace as well as excel in the areas of algebraic expressions, linear and quadratic forms, powers and roots, linear, quadratic, exponential functions, right triangle geometry and circles (topics covered in H. Algebra 1, H. Algebra 2 & H. Geometry).

Credit: 2 Math Credits, full year

Students will study the unifying nature of functions with an emphasis on trigonometric, exponential and logarithmic functions. Visualization and analysis of graphs will help students develop insight into mathematical ideas. The course will encourage students to appreciate the importance of mathematics in daily life by connecting mathematical principles to situations in the natural world. Study of sequences and series and probability will be incorporated.

### Honors AMP 2 - Honors Geometry & Honors Pre-Calculus w/extended topics

Course Number:  2420

Prerequisites: AMP 1

For a student to be successful in this course they should have a passion for mathematics, as well as the ability to endure a rigorous course load. Students should excel in the areas of systems of equations, augmented matrices, exponentiation, properties of logs, inverse relationships, factoring and solving higher degree polynomials, polynomial division, simplifying rational expressions, functions and relations including: linear, quadratic, absolute value, exponential, logarithmic, and rational. (Topics covered in AMP 1)

Credit: 4 Math Credits, full year/meets daily / 2 UP

This class is a combination of a Euclidean Geometry and Pre-Calculus course with a strong emphasis on proofs and analytic solutions. Geometry topics include parallel and perpendicular lines and planes, congruent and similar polygons, right triangle geometry and trigonometry, circles, areas, volumes and linear coordinate geometry.  Pre-Calculus topics include exponential, logarithmic, rational, radical, higher order polynomial, trigonometric and           circular functions; sequence and series, conic equations and probability. Graphing calculators (TI-84 and up) are required as students will be expected to become proficient in their use. Graphing utility technology provided on school-issued devices will also be employed. This is a challenging course that will prepare successful students for enrollment in AP Calculus AB.

### Dual Enrollment (DE) Honors Statistics, USM MAT 120 (Capstone Class)

Course Number:  2452

Prerequisites:  FST or Honors Precalculus ( or concurrent enrollment in either)

Credit:   2 Math Credits, full year  Dual Enrollment: 4 credits @USM if signed up on: explorec.maine.edu

This course is designed to show students how statistics is used to picture and describe the world to make informed decisions. The course will take students through the different techniques of collecting and organizing data into tables, distributions and graphs.  It will then proceed to analyze raw data as well as standardized data using formulas and theorems. Students will perform hypothesis testing and make inferences from them. This course will also cover theoretical, empirical, binomial, geometric and Poisson probability distributions, correlation and Regression data. This course will integrate technology and a TI-84 Plus calculator is mandatory.

### Dual Enrollment (DE) Honors Calculus, USM MAT 152

Course Number:  2451

Prerequisites:  Honors PreCalculus

For a student to be successful in this course they must be proficient in trigonometric, circular, rational, radical, higher order polynomial, exponential and logarithmic functions.

Credit: 2 Math Credits, full year  Dual Enrollment: USM MAT 152  4 credits @USM if signed up on:explorec.maine.edu

This is an introductory Calculus course that will study limits, continuity, differential, and integral calculus of a single variable. Topics include rules of differentiation and integration, related rates of change, curve- sketching, finding area between curves, and finding volumes and surface areas of rotation. Graphing calculators (TI-84 and up) are highly recommended.

### Advanced Placement (AP) Calculus AB, Dual Enrollment (DE) USM MAT 152

Course Number: 2430 (Daily year long)

Prerequisites:   AMP 2

For a student to be successful in this course they must excel in exponential and logarithmic functions, rational, radical, higher order polynomial, trigonometric and circular functions.

Credit: 4 Math Credits; Dual Enrollment: USM MAT152, 4 credits @USM if signed up on: explorec.maine.edu

The AP Calculus AB course is equivalent to a one and ½ semesters of college Calculus curriculum. In this demanding course, the student will study the cornerstones of calculus: the derivative, the definite and the indefinite integral. Students will approach ideas through the concept of functions, continuity      and limits, the differential and advanced techniques of integration as well as learning application for these concepts.

### Advanced Placement (AP) Calculus BC

Course Number:  2440

Prerequisites: AP Calculus AB

For a student to be successful in this course they must excel in the derivative, the definite and the indefinite integral, functions, continuity and limits, the differential.

Credit:   2 Math Credits, full year