# AllentownSchool District

### Mathematics Core and Electives Courses

#### Mathematics (3 credits are required for graduation.)

Algebra I - No. 301
Grade 9       Year 1       5 Periods          1.0 Credit

Algebra I develops basic concepts of reasoning and calculations with symbols. In problem-solving situations, students will apply properties of real numbers, simplify numeric and rational expressions, solve and graph linear equations, inequalities and systems, solve quadratic equations, and analyze patterns and functions. Students are required to take the Algebra I Keystone Exam at the completion of this course.

Developmental Algebra I  -No. 304
Grade 9       Year 1       10 Periods 1.0 Credit Mathematics & 1.0 Credit Elective
Students are assigned to this course based on standardized test scores and teacher/counselor recommendation.

Students will strengthen and extend their understanding of pre-algebra concepts to prepare them for Algebra 1. Additionally, students will be introduced to basic reasoning and calculations with symbols.

Algebra IA - No. 306
Grade 9       Year 1       5 Periods          1.0 Credit

Algebra 1A, designed for the eligible student, develops basic concepts of symbolic reasoning and calculations with symbols. In problem- solving situations, students will learn to solve and graph linear equations solve quadratic equations, analyze patterns and functions, apply concepts of the order of operations, and coordinate geometry. Students will complete the Algebra 1A requirement and take the Keystone exam at the completion of Algebra 1B.

Functional Mathematics - No. 308
Grade 9, 10, 11, 12      Year 1       5 Periods          1.0 Credit

This course is designed for eligible students whose primary identified need is to learn functional skills. This course is aligned to the PA Alternate Standards. This course teaches basic math operations, money skills, and computation skills. In addition, functional measurement, time, estimation, and reading and analyzing tables, charts, and graphs are included for real-life instruction.

Prerequisite:  Algebra I
Grade 9, 10, 11       Year 1       5 Periods          1.0 Credit

Algebra II Advanced continues the study of algebra by presenting new concepts and extending the basic topics of Algebra I.  Topics include systems of equations and inequalities, quadratic, exponential, and logarithmic functions, complex numbers, conic sections, matrices, sequences, series, probability and statistics. This course provides a thorough preparation for trigonometry, college algebra, and other advanced mathematics courses. Students engage in solving a variety of
challenging problems and are encouraged to inquire, hypothesize, investigate, and discover ideas for themselves.

Algebra II - No. 311
Prerequisite: Algebra I
Grade 9, 10, 11, 12       Year 1       5 Periods          1.0 Credit

Algebra II presents new concepts and extends the basic topics of the Algebra I course. Topics include systems of equations and inequalities, quadratic, exponential and logarithmic functions, complex numbers, conic sections, matrices, sequences, series, probability and statistics. This course prepares students for trigonometry, college algebra and other advanced mathematics courses.

Foundations of Algebra II - No. 312
Prerequisite:  Algebra I
Grade 9, 10, 11, 12       Year 1       5 Periods          1.0 Credit

Students are assigned to this course based on standardized test scores and teacher/counselor recommendation.
Foundations of Algebra II strengthens and extends students understanding of Algebra I to prepare them for retaking the Algebra I Keystone Exam. Additionally, students are introduced to Algebra II concepts to support their future success in Algebra II. The topics to be covered in this course include rational expressions, linear equations, systems of equations, inequalities, quadratic equations, probability and statistics, exponential functions, logarithmic functions, and complex numbers.

Algebra IB - No. 316
Prerequisite: Algebra IA
Grade 10       Year 1       5 Periods          1.0 Credit

Algebra IB, designed for eligible student, develops basic concepts of symbolic reasoning and calculations with symbols. In problem- solving situations, students will learn to solve operations with polynomials, linear equations, and apply concepts of data analysis and probability.  Students are required to take the Algebra I Keystone Exam at the completion of this course.

Grade 9, 10, 11     Year 1      5 Periods        1.0 Credit

This course provides students opportunities to develop logical thought, practice critical evaluation, and make intelligent generalizations through the exploration of the mathematical concepts of geometry. Students will analyze and write formal proofs and solve problems involving plane and solid figures.

Geometry - No. 321
Prerequisite:  Algebra II
Grade 9, 10, 11, 12    Year 1      5 Periods        1.0 Credit

Geometry for the college-bound student includes the development of formal, logical reasoning and proofs. Students will apply axioms, theorems, and properties to solve problems involving plane and solid figures.

Applied Geometry - No. 322
Prerequisite: Foundations of Algebra II or Algebra II
Grade 11, 12      Year 1        5 Periods        1.0 Credit

In this course, students develop basic concepts of geometry including the development of formal, logical reasoning and proofs. Students will apply axioms, theorems, and properties to solve problems involving plane and solid figures.

Mathematics of Personal Finance - No. 325
Grade 11, 12      Year 1        5 Periods        1.0 Credit

This course covers the basic personal financial needs of most individuals.  Topics covered included basic budgeting, saving, checking, investments, credit, the wise use of insurance, and paying and preparing income tax returns.  Students taking this course will learn to be better prepare for their financial futures.

Grade 10, 11, 12       Year .5       5 Periods          0.5 Credit

Algebra III Advanced extends the concepts and skills developed in previous algebra courses with emphasis on analytical aspects. Students explore mathematical connections in topics including; sequences, series, functions (exponential, logarithmic, polynomial, and rational) and their graphs. Prepares the student for the rigor of a College Board® Advanced Placement course.

Algebra III - No. 331
Prerequisite:  Geometry and Algebra II
Grade 10, 11, 12       Year .5       5 Periods          0.5 Credit

Students in Algebra III will extend their understanding of the topics introduced in Algebra II and the connections between algebraic and geometric representations. They will solve problems involving systems of equations, matrices, higher degree equations, the binomial theorem, sequences, series, permutations and combinations and conic sections.

Pre-Calculus - No. 335
Prerequisite: Geometry and Algebra II
Grade 10, 11, 12      1 Year        5 Periods          1.0 Credit

Students will extend their knowledge of topics they have covered in both Algebra II and Geometry. Topics to be covered will include: sequences, series, exponential and logarithmic functions, functions and their graphs, trigonometric functions, analytic trigonometry and trigonometric applications.

Grade 10, 11, 12       Year .5       5 Periods          0.5 Credit

In Trigonometry Advanced, students study the elementary properties of the periodic trigonometric functions and their graphs. The student is given opportunities to explore the applications of trigonometry using trigonometric identities. Prepares the student for the rigor of a College Board® Advanced Placement course.

Trigonometry - No. 341
Prerequisite:  Geometry and Algebra II
Grade 10, 11, 12       Year .5       5 Periods          0.5 Credit

This course introduces the properties of the trigonometric functions that students apply to solve practical problems. Trigonometry is particularly important in the study of high school physics, technical courses and many trades.

Grade 10, 11, 12       Year .5       5 Periods          0.5 Credit

Analytic Geometry Advanced applies algebraic and trigonometric concepts to explore the topics of conics, matrices, systems of equations, vectors, polar and parametric equations. Prepares the student for the rigor of a College Board® Advanced Placement course.

Pre-Calculus – DE* - No. 350DE
Prerequisite: COLLEGE SUCCESS Algebra 71 and high school math through Trigonometry
Grade 11, 12        1 Semester       1.0 ASD Credit     3.0 College Credits

Designed for students whose backgrounds are not sufficient to immediately begin the calculus sequence. Serves any student looking for a mature investigation of algebra and trigonometry. This one-semester course covers the topics included in MAT 160 and MAT 165 at a relatively rapid pace. Topics include: polynomials, systems of equations, sequences and series, trigonometric functions and graphs, inverse functions, exponential and logarithmic functions, identities and equations, parametric equations, and polar curves. A graphing calculator is required.

Analytic Geometry - No. 351
Prerequisite:  Algebra III and Trigonometry
Grade 10, 11, 12       Year .5       5 Periods          0.5 Credit

Analytic Geometry applies algebraic and trigonometric concepts to the study of geometry emphasizing theory, analysis, rigorous proof, and applications.

Calculus (AB) – College Board AP*-No. 360AB
Grade 10, 11, 12       Year 1       5 Periods          1 Credit

Advanced Placement Calculus (AB) provides the student the opportunity to study calculus with the theory and rigor necessary to prepare the student to take the College Board® Advanced Placement Calculus (AB) Examination.

Calculus (BC) – College Board – AP*  - No. 360BC
Prerequisite:  Calculus (AB) AP
Grade 11, 12       Year 1       5 Periods          1 Credit

Advanced Placement Calculus (BC) offers students a wider range of topics than Calculus (AB). With an emphasis on theory and application, this course prepares the student to take the College Board® Advanced Placement Calculus (AB or BC) Examination. Students are expected to do independent study of selected BC topics.

Calculus & Analytical Geometry – DE*- No. 360DE
Prerequisite: COLLEGE SUCCESS Algebra 71 and high school math through Trigonometry
Grade 12         1 Semester      1.0 ASD Credit        3.0 College Credits

This course is primarily intended for students majoring in science, mathematics, or engineering. Topics include data analysis, limits, differentiation with applications (optimization and related rates), and integration.  A graphing calculator is required.

Statistics – College Board® AP* - No. 390A
Prerequisite: Algebra II
Grade 11, 12       Year 1       5 Periods          1.0 Credit

The themes of this course include the topics addressed on the Advanced Placement Statistics examination: describing data, sampling and experimentation, using probability and statistics to make predictions, and statistical inference. Students will incorporate technology in activities and projects that include the design, implementation, and presentation of original research. There will be an emphasis on decision-making, validating/justifying statistical hypotheses, and demonstrating the critical connections between the analysis and conclusions of statistical design experiments. This course is designed to prepare students to take the College Board® Advanced Placement Statistics Examination.

Probability and Statistics – DE*- No. 390DE
Prerequisite: COLLEGE SUCCESS Algebra 66 and two years of  high school Algebra

Grade 11, 12       1 Semester      1.0 ASD Credit         3.0 College Credits

This math course is for students in programs where measurements and predictions are made. Topics include the following: tabulation of data, measures of central tendency and dispersion, sampling, types of distributions, probability, hypothesis testing and elementary aspects of correlation. A graphing calculator is required.

Statistics  - No. 391
Prerequisite: Algebra II
Grade 11, 12       Year 1       5 Periods          1 Credit
In Statistics, students explore relationships among variables in real world situations. Students will use probability distributions, simulations, and models to make predictions and draw conclusions based on data. Students engage in group problem-solving and use technology, projects and experiments to develop and demonstrate their understanding of data collection, description, and analysis.

#### Mathematics Electives Courses

For electives that have limited enrollment, priority will be given to upper classmen who need the course to meet graduation, academy or pathway requirements.

Computer Programming I - No. 371
Prerequisite:  Algebra I
Grade 9, 10, 11, 12      Year .5       5 Periods          0.5 Credit

Computer Programming I in Java (LED) or Visual Basic (WAHS) introduces students to the capabilities of computers and provides a fundamental knowledge of programming structures. By writing programs, students will use microcomputers as a problem-solving tool and learn techniques that are transferable to other programming languages.

Computer Programming II - No. 372
Prerequisite:  Computer Programming I
Grade 10, 11, 12      Year .5       5 Periods          0.5 Credit

This rigorous course is designed for students interested in writing programs using Java. Students will expand their sequential and random-access file management, and graphics and audio applications. This course will stress writing programs with applications to fields and a final project.

Computer Science Principles – College Board - AP-No. 375
Prerequisite: Algebra I
Grade 10, 11, 12        Year 1         5 Periods     1.0 Credit

Students will learn the fundamentals of computing, including problem solving, working with data, understanding the Internet, cybersecurity, and programming. The course goal is to broaden their understanding of computer science for use in a diversity of majors and careers. The course is designed to prepare students for the two College Board® Advanced Placement projects and the end-of-year exam: multiple choice.

Computer Science A – College Board*              No 376A
Prerequisite: Computer Science Principles – AP
Grade 10, 11, 12        Year 1         5 Periods     1.0 Credit

Students will learn the fundamentals of programming and problem solving using the JAVA language, with an emphasis on problem solving and algorithm development.  The course goal is to develop skills for future study or a career in computer science or other STEM fields.  This course is meant to be the equivalent of a first-semester course in computer science and helps prepare the student for the College Board Advanced Placement end-of-year exam: multiple choice and free response.

SAT Math - No. 382
Grade 11, 12            Year .5       5 Periods          0.5 Credit

SAT Math is a course designed to prepare students for the geometry, algebra and probability questions on the Scholastic Aptitude Test.  Students will practice test-taking strategies, problem solving skills and methods.