Math - Sophomore
INTEGRATED ALGEBRA I (203)
Grades 9-12: Level 2
(Year) 1.50 credits
The fundamental goal is to extend the mathematics that students learned in 8th Grade. Integrated Algebra focuses on standards within four conceptual categories: (1) Expressions & Equations, (2) Statistics, (3) Linear & Exponential Functions, and (4) Congruence. In Integrated Algebra 1, students will continue to build on linear equations in one and two variables and further their understanding to graph linear inequalities and exponential functions. Additionally, students will be exposed to the Geometric concepts of congruence and proof writing.
INTEGRATED GEOMETRY (205/206)
Grades 9-12: Level 2 and Honors
(Year) 1.50 credits
Level 2 Prerequisites: Successful completion of Integrated Algebra I
Honors Prerequisites:
1. 8th grade performance and teacher recommendation
2. A- or higher in Integrated Algebra I or teacher recommendation
The focus is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Algebra I.
Instructional time will focus on six critical areas: (1) Similarity, Proof, and Trigonometry, (2) Polynomial and Quadratic Expressions, Equations, and Functions, (3) Circles, With and Without Coordinates, (4) Extending to Three Dimensions, (5) Connecting Algebra and Geometry Through Coordinates, (6) Inferences and Conclusions From Data
Honors Option: Students who have met the prerequisites and are able to commit the time and effort to move through the basic concepts at a deeper level of understanding may select the Honors option.
Instructional time will focus on nine critical areas: (1) Solving and Graphing Linear Functions, (2) Descriptive Statistics, (3) Comparing Linear and Exponential Functions, (4) Congruence, Proof, and Constructions, (5) Similarity, Proof, and Trigonometry, (6) Extending to Three Dimensions (7) Connecting Algebra and Geometry Through Coordinates, (8) Circles, With and Without Coordinates, (9) Polynomial and Quadratic Expressions, Equations, and Functions.
INTEGRATED ALGEBRA II & TRIGONOMETRY (207/209)
Grades 10-12: Level 2 and Honors
(Year) 1.50 credits
Level 2 Prerequisite: Successful completion of Integrated Geometry
Honors Prerequisites: B- in Integrated Geometry Honors or an A- or higher in Integrated
Geometry Level 2
Students will integrate and apply the mathematics they have learned from their earlier courses. Instructional time will focus on four critical areas: (1) Develop an ability to model, graph and algebraically solve Quadratic Functions (2) Develop an ability to model, graph and algebraically solve Polynomial, Rational Functions (3) Develop an ability to model and algebraically solve Logarithmic Functions. (3) Develop an ability to model and algebraically solve Coordinate Geometry (4) Develop an ability to model, graph and algebraically solve right triangle trigonometry.
Honors Option: The honors option includes focused work on deriving equations and deeper understanding of coordinate geometry and right triangle trigonometry.
AP STATISTICS (245)
Grades 10 - 12: Advanced Placement
(Year) 1.50 credits
Prerequisite: B- in Integrated Algebra II & Trigonometry Honors or A- in Integrated Algebra II & Trigonometry or A- in Honors Geometry and Teacher Recommendation
Students must be willing to work independently and have an interest in statistics. This course offers students the opportunity to do college level work in mathematics. It is a non-calculus based introduction to statistics exposing students to four broad conceptual themes: exploring data, observing patterns and departures from patterns; planning a study, deciding what to measure and how to measure it; anticipating patterns in advance, introducing probability and simulation; and statistical inference, confirming models for explanations of patterns.
Students are strongly urged to take the Advanced Placement Examination, and those who do will be exempted from the course final examination.