Mathematics

Advanced Algebra
Length: Semester
Credit: 1

This course is for 12th grade students who have passed Algebra 2 but have not shown proficiency on the Keystone Algebra 1 exam. This course will fulfill the 4th year math course requirement.

Advanced Algebra & Probability Statistics
Length: Semester
Credit: 1

This is a course for any student who has successfully completed Algebra 1, Geometry, and Algebra II. This course emphasizes data analysis topics such as: analyzing and interpreting data, calculating probability, and making inferences. This course will prepare students for AP Statistics or Elementary Functions; it is not a Calculus-readiness course.

Advanced Topics
Length: Semester
Credit: 1

Major topics include Literature in Mathematics, Social Decision Making, Mathematics in Beauty and Nature, Fractals, Chaos Theory, and Game Theory. This course is recommended for 11th and 12th graders who have successfully completed Algebra 2 and Geometry.  This course can be taken before or after AP math courses.

Algebra 1
Length: Semester
Credit: 1

The course develops and uses students’ understanding of number and operation to build algebraic understanding. It is designed to follow the Middle School math sequence. This course explicitly develops students’ mathematical habits of mind in conjunction with algebraic content and skills. The topics studied include Equations & Expressions, Data Analysis & Probability, Graphs, Linear Functions, Non-Linear Functions, Inequalities and Systems of Equations. Students will receive a 1 math credit and 1 elective credit for the year.

Algebra 2
Length: Semester
Credit: 1

In this Algebra course, students build on and deepen their understanding of Algebra 1, learning mathematical habits of mind and skills in the context of more advanced topics. These topics include quadratic functions, exponential functions, complex numbers, polynomial functions and logarithms. Students also deepen their study of data analysis and probability.

AP Calculus
Length: Year Long
Credit: 1

AP Calculus, the standard college course of first year calculus, is primarily concerned with an intuitive understanding of the concepts of calculus–particularly limits, differentiation and integration–and experience with its methods and applications.. It is intended for accelerated students who wish to pursue their study of mathematics or to try for advanced placement credit when they enter college. Students are prepared for, and expected to take, the Calculus Advanced Placement exam.

AP Calculus BC
Length:  Year
Credit:  2

This accelerated course is intended for students who have a thorough knowledge of analytical geometry and elementary functions in addition to college preparatory algebra, geometry, and trigonometry. The topics covered by the course include functions, differential calculus, integral calculus, and sequences and theory. Graphing utilities (computers and calculators) are used extensively throughout the course. This course reinforces important mathematical concepts that the students have learned throughout high school in an effort to integrate mathematical knowledge and skills. Opportunities for individual student investigation are provided. Many colleges and universities offer advanced placement and/or credit to students who have performed successfully on the AP Calculus BC Exam and students are expected to take the exam.  Students will receive a 1 math credit and 1 elective credit for the year.

AP Statistics
Length: Semester
Credit: 1

This rigorous course is designed for students who have successfully completed Algebra 1, Algebra 2, and Geometry, and if possible Elementary Functions or Probability and Statistics. This course emphasizes technology, analyzing and interpreting data, calculating probability, and making inferences. In addition to learning how statistics is used and found in the world around you, there is an emphasis on communicating  clearly and concisely. Many colleges and universities offer Advanced Placement and/or college credit to students who perform successfully on the AP Statistics Exam and students are encouraged to take the exam.

Biostatistics
Level: Manager/Executive
Length: Quarter
Credit: .5

Students will perform experiments and analyze data culturing bacteria from around SciTech’s campus. Students will also analyze a LD50 bioassay for a toxic substance and will conduct research and data-analysis for a self-directed experiment or biological or medical data set.

There are no mathematical prerequisites as the statistics the students encounter will be based on their prior knowledge. Students who haven’t take a statistics course will learn descriptive statistics (mean, median, standard deviation, etc.) as well as ways of displaying data (histograms, box plots, scatter plots, etc.). Students who have taken AP Stat or Prob/Stat will use more sophisticated methods for exploring their data (hypothesis testing and confidence intervals).

Calculus AB AP
Length: Year
Credit: 2

This year-long block math course is the standard first year AP Calculus program focused primarily on an intuitive understanding of the concepts of calculus.  Students will experience the methods and applications of limits, differentiation and integration.  It is intended for students who wish to pursue their study of higher level mathematics or try for advanced placement credit when they enter college.  Students are prepared for and expected to take the Calculus AB Advanced Placement exam in the spring.  The course carries one mathematics credit towards graduation requirements and one elective credit for the year.

Enhanced Algebra 2
Length: Year
Credit: 1 Math, 1 Elective

This Algebra course is the same as Algebra 2 (Semester) but it allows more time for enrichment activities and individualized support. Enrichment will take place in the context of individualized standards-based assignments and rigorous Pre-AP and technology-based projects.

Elementary Functions
Length: Semester
Credit: 1

This course is designed for students who have successfully completed Algebra 2 and want to prepare for College Level Mathematics. Graphing calculators are used extensively to investigate functions and their behavior. Topics include polynomial, rational, exponential, logarithms, and trigonometric functions. Additional topics are covered. Emphasis is on using concepts and skills to model situations and solve application problems. Elementary Functions is recommended for students who meet the proficiency criteria as detailed in the Math Decision Trees.

Enhanced Algebra 1
Length: Year
Credit: 1 Math, 1 Elective

The course develops and uses students’ understanding of number and operation to build algebraic understanding. This course explicitly develops students’ mathematical habits of mind in conjunction with algebraic content and skills. The topics studied include Equations & Expressions, Data Analysis & Probability, Graphs, Linear Functions, Non-Linear Functions, Inequalities and Systems of Equations. Students will receive a 1 math credit and 1 elective credit for the year. This course has more time for enhancements such as focused activities and support on concepts of Algebra 1. Enrichment will take place in the context of individualized standards-based assignments as well as rigorous technology-based projects.

Enhanced Elementary Functions
Length:  Year
Credit: 1 Math, 1 Elective

This rigorous, year-long block course is designed for students who have successfully completed Algebra 2 and want to prepare for College Level Mathematics. This course provides a rigorous analysis of functions, their behavior and application. Graphing utilities (computers and calculators) are used extensively throughout the course. This course reinforces important mathematical concepts that the students have learned throughout high school in an effort to integrate mathematical knowledge and skills. Opportunities for individual student investigation are provided.  This course carries one mathematics credit toward graduation requirements and one elective credit for the year.

 

Enhanced Geometry
Length: Year
Credit: 1 Math, 1 Elective

This course is the same as semester Geometry.  However, this course has more time for enhancements such as focused activities and support on concepts of Geometry. Enrichment will take place in the context of individualized standards-based assignments and projects, which will allow students to receive extra support when needed. Students will solve real-life Geometry problems that make connections to higher-level mathematics.

Geometry
Length: Semester
Credit: 1

This course is designed to provide a deep investigation of geometry. It is a student centered course incorporating logic and Euclidean geometry while emphasizing student problem solving through the development of Geometry Habits of Mind, which are critical for advanced mathematics courses. Using Habits of Mind, this course investigates the big ideas and skills of Geometry, including mathematical reasoning and proof, plane and solid Geometry topics (including area and volume), similarity and congruence.

Matrix and Linear Algebra
Length: Semester
Credit: 1

This course teaches higher level problem solving skills and techniques using special systems of algebraic notations involving matrices and determinants.  It includes college level preparation in principles of systems of equations in n-dimensional space and incorporates applications in diverse fields of mathematics and science.  Graphic utilities are used extensively.  

Quantitative Ecology
Level: Manager/Executive
Length: Quarter
Credit: .5

Students will analyze data from SciTech’s campus and Schenley Park for biodiversity, species distributions, and habitat diversity. Students will also conduct research and data-analysis for a self-directed experiment or ecological data set.

There are no mathematical prerequisites as the statistics the students encounter will be based on their prior knowledge. Students who haven’t take a statistics course will learn descriptive statistics (mean, median, standard deviation, etc.) as well as ways of displaying data (histograms, box plots, scatter plots, etc.). Students who have taken AP Stat or Prob/Stat will use more sophisticated methods for exploring their data (hypothesis testing and confidence intervals).

 

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