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 placement by instructor
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 .
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 .
AP Calculus AB
2 Credits Prerequisite : Pre-Calculus Honors
In this course , students will study the cornerstones of single variable calculus : the derivative , the definite and indefinite integral , continuity and limits , as well as the differential and advanced techniques of integration . This course is the equivalent of 1.5 semesters of college calculus . The class meets daily , and all students are required to take the AP exam .
AP Calculus BC
1 Credit Prerequisite : AP Calculus AB This course continues the study of calculus of functions of a single variable . Students ’ understanding of functions will expand to polar and parametric functions . Derivatives and definite integrals will be studied in greater depth to solve a variety of application problems . In addition , other advanced topics in mathematics may be introduced ( e . g ., differential equations and linear algebra ). All students are required to take the AP exam .
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