Math Elective 3H (367)
Prerequisite: Teacher Recommendation or permission of Department Head
This course is designed to give students the foundation necessary for success in Integrated Math 3H. Integrated Math 2 students must take this before entering Integrated Math 3H. It should also be considered for Integrated Math 2H students that need more time with the concepts developed in Integrated Math 2H. This course will focus on key areas such as linear functions that are extended to develop and connect the concepts of slope, the derivative, exponential functions and logarithms. Geometry topics include congruence and similarity in terms of transformations and constructions. Students will investigate geometry theorems about triangles, parallel lines, and circles and prove them by writing deductive and coordinate proofs. This course is taken concurrently with Integrated Math 3H.
Integrated Math 3H: Algebra 2, Trigonometry, Geometry, Probability and Statistics (369)
Prerequisite: A minimum of grade of C- in Integrated Math 2H, or Math Elective 3H concurrently or by permission of Department Head
Units examine and connect topics in these areas: Algebra 2, Trigonometry, Geometry, and Probability and Statistics. Students will also investigate a number of long-term non-routine problems. The definitions of the trigonometric functions will be extended to include all angles. Students will graph the trigonometric functions, define the inverse trigonometric functions, and develop the trigonometric identities. Students will also define polar coordinates. Students will develop a quadratic expression for the height of free-falling objects, based on the principle of constant acceleration. Geometry topics will include coordinate geometry, points of concurrency, distance formula and the equation of a circle. In Algebra, students will study families of functions, combining and modifying functions, end behavior of functions, and fitting functions data to model situations. Topics in Probability and Statistics will include developing and using the concepts of combinations and permutations. Students will explore the defining pattern and other properties of Pascal’s triangle using the meaning of combinatorial coefficients, and develop and explain the binomial theorem.
Possible Next Courses: IMP 4, Trigonometry/Introduction to Statistics 1, Introduction to Statistics 1 & 2 (honors)