Grade 9 Courses

Mathematics Foundations 1 (5141y)

One year – 1 credit

Grades 9

Prerequisite: Teacher Recommendation

Foundations 1 Topic List

The purpose of this course is to develop the foundations of students’ mathematical understandings. Topics in this course include: number sense (factors, negative numbers, and fractions); patterns and algebra; linear functions; measurement (perimeter, area, and volume); coordinate geometry; and statistics and probability. Topics and schedules will be adjusted as necessary to meet the needs of the students as they become apparent throughout the course.

Students who are successful in the Mathematics Foundations pathway in grades 9 and 10 can enter the IB program through SL Applications and Interpretation in grades 11 and 12, or the AP program through AP Precalculus in grade 12.

Mathematics 1 (5142y)

One year – 1 credit

Grades 9

Prerequisite: Teacher Recommendation

Mathematics 1 Topic List

This course continues the integrated study of algebra and geometry, focusing on the core content to allow more time for consideration and consolidation, before proceeding to more advanced topics. We start with linear functions, systems of linear equations, and coordinate geometry. We then move to quadratic functions, exponents, inequalities, triangles and similarity, probability, and an introduction to descriptive statistics. Investigations and questions involving real-world applications are an integral part of the course.

Honors Mathematics 1 (5143y)

One year – 1 credit

Grades 9

Prerequisite: Teacher Recommendation

Honors 1 Topic List

This course continues the integrated study of algebra and geometry, extending each topic for greater depth while necessarily proceeding faster. Advanced topics include: linear functions, systems of linear equations and inequalities, quadratic functions, exponential functions and operations on exponents, inequalities, triangles and similarity, two-column proofs, measurement (including interior/exterior angles of a polygon, SA and Volume, and circle theorems including chords and tangent lines), probability, and an introduction to descriptive statistics. Investigations and questions involving real-world applications are an integral part of the course.

Grade 10 Courses

Mathematics Foundations 2 (5144y)

One year – 1 credit

Grades 10

Prerequisite: Mathematics Foundations 1 or Mathematics 1

Foundations 2 Topic List

The Foundations 2 course proceeds at a slower pace than Mathematics 2 and will be tailored to specific gaps in students’ foundational understanding. Topics in this course include continuations of those from Foundations 1 such as number sense, measurement, statistics and probability, and newer topics such as functions, linear equations and systems, quadratic functions, and right-triangle trigonometry.

Students in Foundations 2 take Math 2, Pre-College Math or Math in Decision-Making, or IB SL Applications Year 1 in the following year.

Mathematics 2 (5145y)

One year - 1 credit

Grades 10 and 11

Prerequisite: Mathematics 1, Honors Mathematics 1 or Foundations 2 with teacher recommendation.

Mathematics 2 Topic List

This course continues the study of the algebraic concepts developed in Mathematics 1 by emphasizing the concept of a function and how functions are transformed numerically, graphically, and algebraically, and also introduces core trigonometric concepts and statistics. Types of functions include: linear, quadratic, exponential, rational, and trigonometric. The course is designed to prepare students for either the two-year IB Standard Level courses (SL Applications and Interpretation or SL Analysis and Approaches) or the AP path: Pre-calculus followed by Calculus AB in years 11- and 12. Students who excel in Math 2 will be able to access IB HL Applications and Interpretation.

Honors Mathematics 2 (5146y)

One year – 1 credit

Grade 10

Prerequisites: Honors Mathematics 1 or Mathematics 1 with teacher recommendation 

Honors 2 Topic List

This course both continues the development of topics covered in Honors Mathematics 1 and covers new topics that are prerequisites for IB Higher Level and/or AP Calculus AB. The course emphasizes the combination of multiple content standards in single problems, multiple problem-solving skills, finding general solutions, as well as using multiple representations (numeric, algebraic, graphical, and verbal). In addition to extending topics from Honors 1, the course also introduces: logarithmic, polynomial, rational, radical, and trigonometric functions, and focuses on exploring domain and range, and asymptotic and end behaviours. Students will be well prepared to take IB HL Applications and Interpretations,  HL Analysis and Approaches, or AP Calculus AB upon completion of this course.

Grade 11/12 JIS Courses

Mathematics in Decision Making (5148y) 

This course alternates with Pre-College Math and is offered at the start of every odd School year (2023-24, 2025-26, 2027-2028 etc)

One year - 1 credit

Grade 11, 12

Prerequisite: Mathematics Foundations 2  or Mathematics 2

This course enables students to broaden their understanding of mathematics as it is applied to life after high school. Units engage students with real-world financial applications while maintaining mathematical rigor. Each of the course’s units blends one core application with one relevant math concept: Taxes & Percentages, Banking & Linear Functions, Investing & Exponential Functions. Students will strengthen their mathematical decision-making skills and their use of tools such as spreadsheets.

Pre-College Math (51481y) 

This course alternates with Mathematics in Decision Making and is offered at the start of every even school year (2024-25, 2026-27, 2028-2029 etc)

One year - 1 credit

Grade 11, 12

Prerequisite: Mathematics Foundations 2 or Mathematics 2

This course enables students to broaden their understanding of mathematics as it is applied to life after high school. Units engage students with real-world financial applications while maintaining mathematical rigor. Each of the course’s units blends one core application with one relevant math concept: Credit & Modeling, Paying for College & Statistics, Insurance & Probability. Students will strengthen their applied mathematical skills and tools such as spreadsheets.

FST (Functions, Statistics, Trigonometry) (51482y)

One year - 1 credit

Grade 11, 12

Prerequisite: Mathematics 2

This course is designed to integrate functions, statistics, and trigonometry and apply the algebra and geometry that students have studied in prior years. Supplementing the material presented in Math 2, FST completes the study of the following functions: linear, quadratic, exponential, logarithmic, and trigonometric. Additionally, the course develops some material from finite mathematics, including an introduction to probability and statistics with the intent to significantly enhance a student's ability to undertake the study of advanced statistical applications. This course contains some of the topics of traditional precalculus courses, and throughout the course, the modelling of real phenomena is emphasized. This course will help students prepare for AP Precalculus and/or AP Statistics in grade 12.

Grade 11/12 AP Courses

AP Pre-Calculus (53201y)

One year – 1 credit

Grades 11, 12

Prerequisites: Mathematics 2 or FST (B or higher required (or teacher recommendation)) or Honors Mathematics 2

College Board AP Precalculus Student Page

This course prepares students who have taken Mathematics 2 or Honors Mathematics 2 to take AP Calculus AB in year 12. It is also designed to function as a final high school math course in preparation for studying college-level calculus in university. In this course, students study a broad spectrum of function types, including polynomials, logarithmic, inverse trigonometric, rational, and piecewise functions. In addition, the course covers additional topics including complex numbers, polar and parametric functions, conic sections, vectors and matrices. All students are required to sit the external AP Pre-Calculus examination in May.

AP Calculus AB (5410y)

One year – 1 credit

Grades 11, 12

Prerequisites: Honors Mathematics 2 (with a B or more required (or teacher recommendation)) or AP Pre-Calculus

NEW STUDENTS to JIS in G11 ONLY:  New students wishing to take Calculus AB are required to have completed a Pre-Calculus level course that includes the study of trigonometric functions and equations, as well as logarithmic and exponential functions.

College Board AP Calculus AB Student Page

This course introduces students to the fundamental ideas and application of differential and integral calculus, modelled after the first semester of US college-level calculus. Topics studied in the first semester include: continuity and limits, derivatives of polynomial, trigonometric, exponential and logarithmic functions, including applications of derivatives to optimization and related rates. The second semester focuses on integral calculus including applications to area, volume and differential equations. All students are required to sit the external AP Calculus AB examination in May.

AP Calculus BC (5420y)

One year – 1 credit

Grade 12

Prerequisite: AP Calculus AB

College Board AP Calculus BC Student Page

This course will begin by covering all the material that is prerequisite to Calculus BC but not covered in Calculus AB. Following that is the additional material of the BC syllabus, the second semester of US college-level calculus, which includes extensions such as: areas bounded by polar coordinates, vector functions, tangents to parametric curves, repeated integration by parts, improper integrals, path length, and sequences and series (convergence, Power, and Taylor series). Students are required to sit the external AP Calculus BC exam in May.

AP Statistics (5850y)

One year – 1 credit

Grades 11, 12

Prerequisites: Math 2 or FST (a grade of A or higher required (or teacher recommendation)),  or AP Precalculus

College Board AP Statistics Student Page

This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics include exploring and analyzing uni- and bi-variate data; sampling methods and the design of experiments; probability and simulation; probability distributions (including the binomial, geometric, normal, and Student’s t distributions); and statistical inference (confidence intervals and significance tests). Students will use computers and graphing calculators extensively. All students are required to sit the external AP Statistics examination in May. 

Students have an option to graduate in Statistics with a WE certification from the College Board: where they work on an individual project that focuses on using the statistical procedures learned in class to benefit the community. 

Grade 11/12 IB Courses

The IB Mathematics program offe2rs two different streams: (1) Applications & Interpretation, and (2) Analysis & Approaches. Both courses are offered at both HL and SL, for four total options. 

Applications & Interpretation is designed for students who enjoy applying mathematics in a practical context to describe the world, thus has greater emphasis on the statistical tools used in a variety of natural and human sciences. Analysis & Approaches is designed for students who enjoy mathematics itself and proving how and why mathematics works as it does.

Mind Maps of IB Curriculum (Years 1 and 2 Combined)

IB SL Applications and Interpretation Covers Common Content and SL AI Content

IB HL Applications and Interpretation Covers Common Content, SL AI Content, and HL AI Content

IB SL Analysis and Approaches Covers Common Content and SL AA Content

IB HL Analysis and Approaches Covers Common Content, SL AA Content, and HL AA Content

Detailed Curriculum Guides

IB SL/HL Applications and Interpretation 

IB SL/HL Analysis and Approaches 

IB S1 Applications and Interpretation  (51441y) 

One Year – 1 credit

Grade 11

Prerequisites: Mathematics Foundations 2 or Mathematics 2 or Honors Mathematics 2

Applications and interpretation S1 is the first year of a two-year program aimed at students who enjoy applying mathematics in a practical context. Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry, Calculus, and Statistics and Probability.  There is a strong focus on Statistics and Probability.  A calculator is allowed throughout all of the curriculum and exams. This subject is aimed at students who will go on to study subjects such as social sciences, natural sciences, statistics, business, some economics, psychology, and design.  This course is appropriate for students who are interested in developing their mathematics for describing our world and solving practical problems. They will also be interested in harnessing the power of technology alongside exploring mathematical models.

IB S2 Applications and Interpretation (51442y)

One Year - 1 credit

Grade 12

Prerequisites: IB S1 Applications and Interpretation

Applications and interpretation S2 is the second year of a two-year program aimed at students who enjoy applying mathematics in a practical context.  Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry, Calculus, and Statistics and Probability.  There is a strong focus on Statistics and Probability. A calculator is allowed throughout all of the curriculum and exams. This subject is aimed at students who will go on to study subjects such as social sciences, natural sciences, statistics, business, some economics, psychology, and design.  This course is appropriate for students who are interested in developing their mathematics for describing our world and solving practical problems. They will also be interested in harnessing the power of technology alongside exploring mathematical models.  Students are required to sit the external IB examination in May.

IB H1 Applications and Interpretation (51451y)

One Year – 1 credit

Grade 11

Prerequisites: Mathematics 2 (a grade of B or higher required (or teacher recommendation)) or Honors Mathematics 2

Applications and Interpretation H1 is the first year of a two-year program aimed at students who enjoy applying mathematics in a practical context. Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry, Calculus, and Statistics and Probability.  There is a strong focus on Statistics and Probability.  A calculator is allowed throughout all of the curriculum and exams. This subject is aimed at students who will go on to study subjects such as social sciences, natural sciences, statistics, business, economics, psychology, and design. In addition, many universities are accepting HL Applications for their engineering and phsyical science programs.  This course is appropriate for students who are interested in developing their mathematics for describing our world and solving practical problems. They will also be interested in harnessing the power of technology alongside exploring mathematical models.  The HL curriculum is an extension of the SL Curriculum through increased rigor, pace and content. Extra topics in HL include Graph theory for computer programming, Hypothesis testing for scientific research, and using Matrices as a tool to model and solve problems. In this course the students are assumed to be independent and motivated learners who desire to be consistently challenged and extended.

IB H2 Applications and Interpretation (51452y)

One Year – 1 credit

Grade 12

Prerequisites: IB H1 Applications and Interpretation

Applications and Interpretation H2 is the second year of a two-year program aimed at students who enjoy applying mathematics in a practical context. Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry, Calculus, and Statistics and Probability.  There is a strong focus on Statistics and Probability.  A calculator is allowed throughout all of the curriculum and exams. This subject is aimed at students who will go on to study subjects such as social sciences, natural sciences, statistics, business, some economics, psychology, and design. In addition, many universities are accepting HL Applications for their engineering and physical science programs. This course is appropriate for students who are interested in developing their mathematics for describing our world and solving practical problems. They will also be interested in harnessing the power of technology alongside exploring mathematical models.  The HL curriculum is an extension of the SL Curriculum through increased rigor, pace and content. Extra topics in HL include Graph theory for computer programming, Hypothesis testing for scientific research, and using Matrices as a tool to model and solve problems. In this course, the students are assumed to be independent and motivated learners who desire to be consistently challenged and extended.  Students are required to sit the external IB examination in May.

IB S1 Analysis and Approaches (51461y)

One year - 1 credit

Grade 11

Prerequisites: Mathematics 2 or Honors Mathematics 2

Analysis and Approaches S1 is the first year of a two-year program and is appropriate for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking.  Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and much more emphasis on Calculus than in the applications curriculum.  This subject is aimed at students who will go on to study subjects with substantial mathematics content such as mathematics itself, engineering, physical sciences, or economics.  This course is appropriate for students that are fascinated by exploring real and abstract applications of these topics, with and without the use of technology.

IB S2 Analysis and Approaches (51463y)

One year - 1 credit

Grade 12

Prerequisites: IB S1 Analysis and Approaches

Analysis and Approaches S1 is the second year of a two-year program and is appropriate for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking.  Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and much more emphasis on Calculus than in the applications curriculum.  This subject is aimed at students who will go on to study subjects with substantial mathematics content such as mathematics itself, engineering, physical sciences, or economics.  This course is appropriate for students that are fascinated by exploring real and abstract applications of these topics, with and without the use of technology.  Students are required to sit the external IB examination in May.

IB H1 Analysis and Approaches (51462y) 

One Year – 1 credit

Grade 11

Prerequisite: Honors Mathematics 2 (B or higher is required (or teacher recommendation))

Analysis and Approaches H1 is the first year of a two-year program and is appropriate for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking.  Topics that are included through the 2-year course are Number and Algebra, Functions, Geometry and Trigonometry,  Statistics and Probability, and much more emphasis on Calculus than in the applications curriculum.  This subject is aimed at students who will go on to study subjects with substantial mathematics content such as mathematics itself, engineering, physical sciences, or economics.  This course is appropriate for students that are fascinated by exploring real and abstract applications of these topics, with and without the use of technology.  The HL curriculum is an extension of the SL Curriculum through increased rigour, pace and content.  Extra topics in HL include complex numbers, polynomials, vectors and much more calculus than SL.  In this course the students are assumed to be independent and motivated learners who desire to be consistently challenged and extended.

IB H2 Analysis and Approaches (51464y) 

One Year – 1 credit

Grade 12

Prerequisite: IB H1 Analysis and Approaches

Analysis and Approaches H2 is the second year of a two-year program and is appropriate for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking.  Topics that are included through the 2-year course are: Number and Algebra, Functions, Geometry and Trigonometry,  Statistics and Probability, and much more emphasis on Calculus than in the applications curriculum.  This subject is aimed at students who will go on to study subjects with substantial mathematics content such as mathematics itself, engineering, physical sciences, or economics.  This course is appropriate for students that are fascinated by exploring real and abstract applications of these topics, with and without the use of technology.  The HL curriculum is an extension of the SL Curriculum through increased rigour, pace and content.  Extra topics in HL include complex numbers, polynomials, vectors and much more calculus than SL.  In this course, the students are assumed to be independent and motivated learners who desire to be consistently challenged and extended.  Students are required to sit the external IB examination in May.