# Math

*Math Courses offered at Argyle Alternative High School:*

Argyle offers three math courses for students to obtain their math credit at each grade level: Essential Math, Applied Math, and Pre-Calculus Math. See below for course descriptions.

**Essential Math 20S, 30S, and 40S**

Essential math is intended for students whose post-secondary planning does not include a focus on mathematics and science-related fields. Topics range from geometry to vehicle finance with a focus on real-life practicality. There are 10 modules in each grade. 20S and 30S have a school-based final exam while 40S has a provincial exam. Technology is widely used and there are several projects in each grade based on student interests.

Course Outline - Essential math 20S.pdfCourse Outline - Essential math 30S.pdf

Course Outline - Essential math 40S.pdf

**Introduction to Applied & Pre-Calculus Mathematics 20S**

**Pre-requisite**** **** ****Mathematics 10F**

**Credit Value**** ****1 Credit**

**Textbook**** ****Foundations and Pre-Calculus Mathematics 10 (Pearson)**

**Course Description and Content**

Introduction to Applied and Pre-calculus Mathematics (20S) is intended for students considering post-secondary studies that require a math pre-requisite. It provides students with the mathematical understanding and critical-thinking skills that have been identified for specific post-secondary programs of study. The topics studied form the foundation for topics to be studied in both Grade 11 Applied Mathematics and Grade 11 Pre-calculus.

Students will engage in experiments and activities that include the use of technology, problem solving, mental mathematics, and theoretical mathematics to promote the development of mathematical skills. These experiences will provide opportunities for students to make connections between symbolic mathematical ideas and the world around us.

There are 7 units in this course: Measurement; Trigonometry; Factors and Products; Roots and Powers; Relations and Functions; Linear Functions; and, Systems of Linear Equations

Course Name APPLIED MATHEMATICS 30S (APMR3S)

Credit Value 1 Credit

Pre-Requisite Introduction to Applied & Pre-Calculus Mathematics 20S

Course Descripti**on and Content**

Grade 11 Applied Mathematics (30S) is intended for students considering post-secondary studies that do not require a study of theoretical calculus. It is context driven and promotes the learning of numerical and geometrical problem-solving techniques as they relate to the world around us. It builds upon the foundation knowledge and skills from Grade 10 Introduction to Applied and Pre-calculus Mathematics and builds a foundation for Grade 12 Applied Mathematics.

Technology is an integral part of both learning and assessment in Applied Mathematics. Graphing calculators, spreadsheets, or other computer software will be used by students for mathematical explorations, modelling, and problem solving.

There are eight units in this course: Inductive and Deductive Reasoning; Properties of Angles and Triangles; Acute Triangle Trigonometry; Oblique Triangle Trigonometry; Statistical Reasoning; Systems of Linear Inequalities; Quadratic Functions and Equations; and, Proportional Reasoning.

**Course Name**** ****APPLIED MATHEMATICS 40S (APMR4S)**

**Credit Value**** ****1 Credit**

**Pre-Requisite**** ****Applied Mathematics 30S**

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**Course Description and Contents**

Applied Mathematics 40S is one of two courses available for students planning to pursue post-secondary studies in Mathematics and Science. The other is Pre-Calculus 40S. Applied Mathematics 40S is primarily data driven, and promotes the learning of numerical and geometrical problem learning techniques. Students collect data in experiments and activities and develop mathematical concepts by analyzing that data.

This course is designed to promote student flexibility and responsibility. Flexibility is encouraged by having students work both individually and in co-operative groups with non-routine problems and projects. Responsibility is encouraged as students work both independently and explore connections with other mathematical areas, other school subjects, and real-life applications.

Technology is an integral part of Applied Mathematics. Graphing calculators and/or computers are used by students for mathematical explorations, modeling, and problem solving. Technology is an integral part of both teaching and assessment in Applied Mathematics.

There are 8 units in this course: Sinusoidal Functions; Probability; Polynomial Functions; Design and Measurement; Permutations and Combinations; Exponential & Logarithmic Functions; Research Project and, Personal Finance.

**Course Name**** ****Pre-Calculus 30S **

**Credit Value**** ****1 Credit**

**Pre-Requisite**** ****Introduction to Applied & Pre-Calculus ****20S**

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**Course Description and Contents**

course descriptions

Grade 11 Pre-calculus Mathematics (30S) is designed for students who intend to study calculus and related mathematics as part of post-secondary education. It builds on the topics studied in Grade 10 Introduction to Applied and Pre-calculus Mathematics and provides background knowledge and skills for Grade 12 Pre-calculus Mathematics.

The course comprises a high-level study of theoretical mathematics with an emphasis on problem solving and mental mathematics.

There are nine units in this course: Sequences and Series; Trigonometry; Quadratic Functions; Quadratic Equations; Radical Expressions and Equations; Rational Expressions and Equations; Absolute Value and Reciprocal Functions; Systems of Equations and Inequalities; and, Linear and Quadratic Inequalities.

**Course Name**** ****Pre-Calculus 40S **

**Credit Value**** ****1 Credit**

**Pre-Requisite**** ****Pre-Calculus**** 30S**

**Course Description and Contents**

Pre-Calculus 40S is one of two courses available for students planning to pursue post-secondary studies in Mathematics and Science. It builds on the topics studied in Grade 11 Pre-calculus Mathematics and provides background knowledge and skills for the study of calculus in post-secondary institutions.

Pre-Calculus 40S comprises, primarily, of a high level study of theoretical mathematics with emphasis on problem solving and mental mathematics, supported by cumulative exercises and testing. The topics include study of transformations of functions, trigonometric functions, exponential functions, logarithmic functions, polynomial functions, radical functions, rational functions, and the binomial theorem. Students are required to learn mathematical concepts through practice and regular homework. Many of the questions and problems on exercises, tests, and examinations can be expected to be different from those presented in class.

There are 10 units (modules) in this course: Function Transformations; Radical Functions; Polynomial Functions; Trigonometry & the Unit Circle; Trigonometric Functions & Graphs; Trigonometry Identities; Exponential & Logarithmic Functions; Rational Functions; Function Operations; and, Permutations and Combinations.