Thornton Academy Program of Studies 2-24- 25 | Page 26

Pre-Calculus

1 Credit Prerequisite : Algebra II and Geometry

Students will study the unifying natures of functions with an emphasis on trigonometric , exponential , logarithmic , rational , and piecewise functions . Additional topics include six trigonometric functions , triangle solution problems , application of trigonometric concepts as well as probability , sequences , and series .

The following course sequence is designed to provide the necessary mathematical knowledge and skills for students who , following graduation from Thornton Academy , plan to attend a four-year college program and may major in a math or science field , or who may apply to a selective four-year college regardless of major .

Algebra I Honors

1 Credit

Students will gain a thorough and extensive study of linear functions and graphing on the xy-coordinate system . Students will learn to graph linear equations , calculate and identify slope , solve and graph inequalities , and work with systems of linear equations . Students will use equations to model and solve authentic problems , interpret graphs , make predictions based on data , and create graphs from a table of values . The course will also include the study of quadratic functions .

Geometry Honors

1 Credit Prerequisite : Algebra 1 Honors

Students will develop spatial concepts and insight into the relationships between plane figures , such as points , lines , polygons , and circles . Students will apply algebraic principles , including the use of coordinates , to geometric problems , and explore the measurement of two- and threedimensional figures . The concept of proof is a focus of this course , fostering an appreciation of the power of logic as a tool for understanding the world .

Algebra II Honors

1 Credit

Prerequisites : Algebra I Honors and Geometry Honors , or teacher recommendation

This course will focus on the study of functions , including linear , quadratic , polynomial , and rational functions . In addition , students will study exponential and logarithmic functions , as well as study a unit on conic sections .

Pre-Calculus Honors

1 Credit Prerequisite : Algebra II Honors and Geometry Honors

Students will study the unifying nature of functions with an emphasis on trigonometric , exponential , and logarithmic functions . Visualization and analysis of graphs will help students develop insight into mathematical ideas . A study of sequences and series and probability will be incorporated .

AP Pre-Calculus

1 Credit Prerequisite : Geometry and Algebra II

Students will build a deeper understanding of modeling and functions as well as examine scenarios through several representations which will prepare them for college level math and science classes . This course covers content and skills which are common in college precalculus courses and help to build a foundation mathematically for students interested in a career in mathematics fields or the sciences .

Statistics Honors

1 Credit Prerequisite : Pre-Calculus Honors

Honors Statistics is a year-long course that will focus on collecting , organizing , analyzing , and interpreting data . Topics will include exploratory data analysis , study planning , probability , and statistical inference .

AP Statistics

1 Credit Prerequisite : Pre-Calculus Honors

AP Statistics will introduce students to the major concepts and tools for collecting , analyzing , and drawing conclusions from data . Students will be exposed to four broad conceptual themes : exploring data , planning a study , anticipating patterns , and statistical inference . All students are required to take the AP Exam .

Calculus A Honors

1 Credit Prerequisite : Pre-Calculus Honors

Many college majors , particularly technical fields , require the study of calculus . This course is the equivalent of one semester of college calculus curriculum . Studies will include topics of limits , continuity , differential and integral calculus .

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