Course Descriptions
Algebra 1
In Algebra I, students begin to study number properties more generally and become fluent at manipulating symbols with multiple step methods. We teach Algebra 1 using IB Middle Years Programme (MYP) philosophy.
IB MYP (Middle Years Programme) encourages and enables students to use the language, symbols and notations of mathematics. Our curriculum encourages students voice, active learning, and critical thinking. The skills learned in this course will develop the knowledge and skills necessary to succeed in future studies in mathematics.
Course Units:
Unit 1: Sequences
Unit 2: Linear and Exponential Functions
Unit 3: Features of Functions
Unit 4: Equations and Inequalities
Unit 5: Systems of Equations and Inequalities
Unit 6: Quadratic Functions
Unit 7: Structures of Quadratic Expressions
Unit 8: More Functions, More Features
Unit 9: Modeling Data
Geometry
This course encourages and enables students to use the language, symbols and notation of mathematics, to be confident using mathematics to analyze and solve problems both in and out of school, and to develop the knowledge and skills necessary to pursue further studies in mathematics.
We teach Geometry using IB Middle Years Programme (MYP) philosophy. Our curriculum encourages students voice, active learning, and critical thinking.
Unit 1: Transformations and Symmetry
Unit 2: Congruence, Construction, and Proof
Unit 3: Geometric Figures
Unit 4: Similarity and Right Triangle Trigonometry
Unit 5: Circles – A Geometric Perspective
Unit 6: Measuring Circles, Angles and Geometry
Unit 7: Connecting Algebra and Geometry
Unit 8: Modeling with Geometry
Unit 9: Probability
Advanced Algebra
We teach Advanced Algebra using IB Middle Years Programme (MYP) philosophy. Our curriculum encourages students voice, active learning, and critical thinking.
The course incorporates the MYP fundamental concepts of holistic learning, intercultural awareness and communications, in that connections between mathematics and other subjects are emphasized. The IB learner profile is used as a guide in developing and implementing the curriculum. Focus will be placed on inquiry and reflection, which enables students to better develop, understand, and apply and algebraic concepts. This course will prepare students for the diploma level IB mathematics courses.
Course Units:
Unit 1: Functions and Their Inverses
Unit 2: Logarithmic Functions
Unit 3: Number Systems and Operations
Unit 4: Polynomial Functions
Unit 5: Rational Functions and Expressions
Unit 6: Modeling Periodic Behavior
Unit 7: Trigonometric Functions, Equations, and Identities
Unit 8: Modeling with Functions
Unit 9: Statistics
Unit 10: Matrices Revisited
IB SL Analysis and Approaches
IB SL Analysis encourages and enables students to use the language, symbols and notation of mathematics, to be confident using mathematics to analyze and solve problems both in and out of school, and to develop the knowledge and skills necessary to pursue further studies in mathematics.
Some topics from MYP Math 9 are revisited to develop further understanding.
Unit 1: Sequences, series and proof
Unit 2: Introducing functions
Unit 3: Linear and Quadratic Functions
Unit 4: Rational Functions
Unit 5: Differentiation
Unit 6: Statistics for univariate data
Unit 7: Statistics for bivariate data
Unit 8: Probability
Unit 9: Exponentials and Logarithms
IB SL Applications and Investigation
This is the standard level of the IB diploma level testing course. It is a two-year course.
As mathematicians, we will broaden our view in how and why mathematics is used in our lives, recognize the increasing role that mathematics and technology play in a diverse and data-rich world, utilize the broad topics of the course to prepare for the ACT, complete the MN Academic Standards in Mathematics grades 9, 10, 11 and complete 120 hours of SL content and 30 hours of investigation, inquiry and problem-solving activities.
Topics (over two years)
Unit 1: Accuracy and 2D geometry
Unit 2: Non-right angled trigonometry and volumes
Unit 3: Descrpritive statistics
Unit 4: Coordinate geometry, lines, Voronoi diagrams
Unit 5: Linear functions
Unit 6: Linear correlation of bivariate data
Unit 7: Probability, binomial and normal distributions
Unit 8: Spearman's, hypothesis testing and χ² test for independence
Unit 9: Power functions
Unit 10: Exponential and logarithmic functions
Unit 11: Trigonometric functions
Unit 12: Differential calculus
Unit 13: Integration
IB HL Applications and Investigation
The two-year course concentrates on mathematics that can be applied to contexts related as far as possible to other subjects being studied, to common real-world occurrences and to topics that relate to home, work and leisure situations.
This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling.
To give this understanding a firm base, this course includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. Students are encouraged to solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations.
Students should expect to develop strong technology skills, and will be intellectually equipped to appreciate the links between the theoretical and the practical concepts in mathematics. All external assessments involve the use of technology. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments.
Topics (over two years)
Unit 1: Accuracy and geometry
Unit 2: Descriptive statistics
Unit 3: Coordinate geometry, Voronoi diagrams, vectors, lines
Unit 4: Linear functions and regressions
Unit 5: Probability
Unit 6: Power and polynomial functions
Unit 7: Exponential and logarithmic functions
Unit 8: Trigonometric functions and complex numbers
Unit 9: Storing and analysing data
Unit 10: Differential calculus
Unit 11: Integration and differential equations
Unit 12: Modelling motion and change in two and three dimensions
Unit 13: Random variables and probability distributions
Unit 14: Spearman's, hypothesis testing and χ² test for independence
Unit 15: Graph theory