 # Senior School Mathematics

(MAT092) 1.0 credit

Students use the text "Mathematics for the International Student Pre-Diploma Studies (MYP 5 Plus)" to learn the concepts necessary for future courses in mathematics. The major topics covered are: numeracy, relationships, equation of the line, powers and roots, algebraic operations and equations, polynomials, lines of best fit, trigonometry, measurement, surds, and univariate analysis. This course also allows students the opportunity to create their own unit plans, work at their own pace, and improve their independence as learners. Participation and active learning are key to success in this course. Technology is interwoven throughout the course using the TI-84 Plus Calculator and Khan Academy. Students require a credit in Grade 8 Mathematics (or equivalent) to register for this course.

(MAT101) 1.0 credit

Students in Grade 10 Mathematics use the text "Mathematics for the International Student Pre-Diploma (MYP 5 Plus)" to investigate the following topics: advanced algebra, coordinate and deductive geometry, trigonometry, discrete mathematics, factorization, vectors, exponential functions, bivariate statistics, matrices, and mathematical analysis. Students in this course work toward mastery of many mathematical concepts. This course builds a solid foundation for IB Mathematics 11 SL. Technology is interwoven throughout the course using the TI-84 Plus Calculator and Khan Academy.

Grade 11 IB Mathematics SL, Pre-Calculus 11
(MAT110) 1.0 credit

This is the first course taken in Grade 11 by students following the Science, Engineering or Business Pathway.
Students will study quadratic functions and their applications. They will solve real-world problems involving maxima and minima. They will also further their understanding of functions and their properties. Students will explore domain and range, inverse functions, composite functions, and transformations. Students will demonstrate an understanding of absolute value of real numbers and solve problems that involve radicals and radical equations. Students determine equivalent forms, simplify rational expressions, and solve problems that involve rational equations. They will explore the graphs of rational functions and find their asymptotes. They will explore the laws of exponents and their applications. Students will study exponential growth and decay. They are introduced to logarithms and the product, quotient, and power laws of logarithms, and use these laws and the relationship between logarithmic and exponential functions to solve problems. Polynomial expressions are factored and absolute value functions and quadratic functions are analyzed and graphed. Students solve problems that involve quadratic equations and solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables. They also solve problems that involve linear and quadratic inequalities in two variables, and quadratic inequalities in one variable, as well as the study of sequences and series.

Pre-Calculus 12A
(MAT120A) 1.0 credit

This is the second course taken in Grade 11 by students following the Science, Engineering, or Business Pathway.
Students will study the Binomial Theorem and its applications. Students will further develop their understanding of angles in standard position (0° to 360°) and solve problems for these angles using the three primary trigonometric ratios. Students are introduced to radians and to the unit circle. The three trigonometric ratios, sine, cosine, and tangent functions are used to solve problems. First and second degree trigonometric equations are solved algebraically and graphically with the domain expressed in degrees and radians. Trigonometric identities are proven using reciprocal, quotient, Pythagorean, sum or difference, and double-angle identities. Students are introduced to vectors, vector equations, and angles between lines. Both univariate and bivariate statistics are also studied. Students will learn about standard deviation, measures of central tendency, and linear regression. Finally, students will explore probability, where they will be introduced to sampling with and without replacement. Students will study and apply the laws of probability. All students will complete a mathematical investigation as a part of this course which is meant to further their understanding of one of the topics covered in the curriculum.

Grade 11 IB Mathematics Studies SL
(MAT112) 1.0 credit

This is the only course taken in Grade 11 by students following the Arts Pathway.
Students study quadratic functions and their applications. They will solve real-world problems involving maxima and minima. They will further their understanding of functions and their properties. They will explore number sets, domain, range, and set builder notation. They will explore the laws of exponents and exponential functions. Students will study exponential growth and decay. They will explore descriptive statistics and linear modelling from data. Students will interpret their data using correlation and linear regression models. Students will explore units of measurement and three-dimensional geometry concepts. They will look at right angled trigonometry as well as the laws of sines and cosines. They will solve real-world problems related to trigonometric and geometric concepts. Students will also explore the concepts of sequences and series. They will apply their knowledge of sequences in problems involving compound interest and depreciation. Students will regularly use Math Help Services to support their learning.

Grade 12 IB Mathematics SL, Pre-Calculus 12B
(MAT120B) 1.0 credit

This is the first course taken in Grade 12 by students following the Science, Engineering, or Business Pathway.
Students learn to graph and analyze different types of polynomial functions. They also graph and analyze radical, reciprocal and rational functions, building a function toolkit. Students are introduced to the concept of limits and determine the limit of a function at a point both graphically and analytically. They explore and analyze left and right hand limits, analyze the continuity of a function, and explore limits which involve infinity. They will be introduced to differentiation by first principles. Students will learn the power rule for differentiation and apply it to finding equations of tangent lines, points of intersection, optimization, and curve sketching.

Calculus 12
(CAL120) 1.0 credit

This is the second course taken in Grade 12 by students following the Science, Engineering, or Business Pathway.
This course will introduce derivatives of polynomial, trigonometric, exponential, and logarithmic functions, and the product, quotient, and chain rules. Applications of derivatives will be explored including rates of change, increasing and decreasing functions, maximum and minimum values, optimization problems, concavity and the second derivative, and curve sketching. Integrals will also be explored including interpretations, properties and numerical approximations of definite integrals, applications of integrals, solids of revolution, displacement and techniques, and applications of anti-differentiation. Students will also learn about probability distribution functions and their applications.

Grade 12 IB Mathematics Studies SL
(MAT120B) 1.0 credit

This is the only course taken in Grade 12 by students following the Arts Pathway.
This is the second year of a two-year course that began in Grade 11. Mathematical Studies is designed to build confidence and to encourage an appreciation of mathematics. Students in Mathematical Studies SL use the text “Mathematics for the International Student, Mathematical Studies SL". Students will complete a major mathematical project that will meet the requirements for the IB Diploma. The topics covered in this course will be bivariate statistics, probability distributions, the normal curve, and linear modelling. Students will explore trigonometric functions and their applications, along with geometric problem solving. Financial mathematics, such as currency conversions and compound interest, will be studied in depth. Logic and its applications will be introduced, as will differential calculus. Students require a credit in Grade 11 SL or Math Studies 11 SL to register for this course.