Academic Handbook 2022-2023 | Page 107

Academic Handbook 2022-2023 107

Foundations of Mathematics 11 Foundations of Mathematics 12

Foundations 11 focuses on the Big Ideas of proportional relationships , optimization , logical reasoning , and statistical analysis . These Big Ideas and the content areas are connected through the competencies of reasoning , understanding , communicating , and connecting ; in addition , students ’ mathematical habits of mind are strengthened through these competencies . Topics include forms of mathematical reasoning , angle relationships , linear inequalities , quadratic functions , systems of equations , optimization , applications of statistics , scale models , financial literacy , and extensions . This course is intended for students with a strong mathematics background who are interested in social sciences and applied mathematics .

Pre-Calculus 11

Foundations 12 focuses on the Big Ideas of probabilistic thinking , modeling data , financial decisions , and geometrical relationships . These Big Ideas and the content areas are connected through the competencies of reasoning , understanding , communicating , and connecting ; in addition , students ’ mathematical habits of mind are strengthened through these competencies . Topics include constructions , conicis , fractals , graph of functions ( polynomial , exponential , logarithmic , and sinusoidal ), regression analysis , combinatorics , probability , statistics , financial planning , and extensions . This course is intended for students with a strong mathematics background who are interested in social sciences and applied mathematics .

Pre-Calculus 12

Pre-Calculus 11 focuses on the Big Ideas of generalized algebraic relationships ; extending operational processes to powers , radicals , and polynomials ; application of quadratic relationships ; and , proportional reasoning . These Big Ideas and the content areas are connected through the competencies of reasoning , understanding , communicating , and connecting ; in addition , students ’ mathematical habits of mind are strengthened through these competencies . Topics include radicals , rationals , powers with rational exponents , quadratic equations and functions , systems of equations , trigonometry , financial literacy , and extensions . This course is intended for students with a strong mathematics background who are interested in both theoretical and applied mathematics .

Pre-Calculus 12 focuses on the Big Ideas of inverse operations , mathematical modeling , and transforming functions . These Big Ideas and the content areas are connected through the competencies of reasoning , understanding , communicating , and connecting ; in addition , students ’ mathematical habits of mind are strengthened through these competencies . Topics include transformations , trigonometry , logarithms , rational functions , polynomial functions , geometric sequences and series , and extensions . This course is intended for students with a strong mathematics background who are interested in both theoretical and applied mathematics .