Mathematics

Credit: 1.0

Math

In Algebra 1, students will:

Emphasize a balanced combination of procedure and conceptual understanding focusing on four critical areas:

• using functions to model situations where one quantity determines another and can be represented algebraically, graphically, and using tables

• modeling and solving quantitative relationships in the real world using functions • representing expressions in multiple, equivalent forms

• developing solutions to equations, inequalities, and systems of equations using a variety of tools This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

Credit: 1.0

Math

In Algebra 1 IB MYP, students will: Emphasize a balanced combination of procedure and conceptual understanding focusing on four critical areas:

• using functions to model situations where one quantity determines another and can be represented algebraically, graphically, and using tables

• modeling and solving quantitative relationships in the real world using functions

• representing expressions in multiple, equivalent forms

• developing solutions to equations, inequalities, and systems of equations using a variety of tools

This content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

Credit: 1.0

Math

Recommended: Geometry

In Algebra 2, students will: • solve any real linear or quadratic equation in one, two, three, or more variables

• visualize, express, interpret, and graph functions

• extend the use of trigonometry to the laws of sines and cosines and connect right triangle definitions with the trigonometric functions

• apply mathematics to problems in economics, biology, chemistry, and physics

• use elementary statistics and probability to solve problems Courses emphasize a balanced combination of procedure and conceptual understanding focusing on critical areas.

These areas will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

 Credit: 1.0

Math

Recommended: Geometry

In Algebra 2 IB MYP/Honors, students will:

• visualize, express, interpret and graph functions

• solve any real linear or quadratic equation in one, two, three or more variables

• extend the use of trigonometry to the laws of sines and cosines and connect right triangle definitions with the trigonometric functions

• apply mathematics to problems in economics, biology, chemistry and physics

Credit: 1.0 Math – Algebra 2 Honors

Credit: 1.0 Math – Pre-Calculus Honors

Recommended: Geometry

In Algebra 2 Honors and AP Pre-Calculus Honors, students will:

• Students will complete the requirements for each year-long class within a semester by attending two class periods per day.

Credit: 1.0

Math

Recommended: Geometry

In Advanced Algebra with Financial Applications, students will:

• address college preparatory mathematic topics from Advanced Algebra, Statistics, and Probability under seven financial umbrellas: banking, investing, modeling a business, employment and income taxes, automobile ownership, independent living, and retirement planning and household budgeting

• use a variety of problem-solving skills and strategies in real-world contexts

• apply algebraic representation, graphical representations, and verbal representations of mathematical functions as they relate to financial applications

Credit: 1.0

Math

Recommended: Teacher recommendation; Algebra 1 and 2, Geometry and Trigonometry

Functions Fee: Student pays for textbook.

In AP Calculus AB, students will:

• understand properties of functions, limits, the derivative and its applications, anti-derivatives, techniques of integration, and the definite integral and its applications

• study the college curriculum equivalent to one and one-half years of college level Calculus topics

• be able to take the AP test in order to possibly receive college credit for Calculus 1/Calculus 2

Credit: 1.0

Math

Recommended: Teacher recommendation; Algebra 1 and 2, Geometry and Trigonometry

Functions Fee: Student pays for textbook.

In AP Calculus BC, students will:

• continue learning properties of functions, limits, derivative, integral, and applications

• explore finite and infinite sequences and series, approximate functions using power series

• explore the convergence of infinite power series

• explore polar functions with graphing, the derivative, and finding areas

• be able to take the AP Calculus BC test that is comprehensive over all Calculus topics

Credit: 1.0

Math

Recommended: Algebra 2

In Pre-Calculus Pre AP, students will:

Learn the same skills as in Trigonometry/Functions, but at a more advanced and rigorous level. Per the AP Central College Board’s website, “Honors is based on the following two important premises. The first is the expectation that all students can perform well at rigorous academic levels. The second important premise of Honors is the belief that we can prepare every student for higher intellectual engagement by starting the development of skills and acquisition of knowledge as early as possible.” (apcentral.collegeboard.com)

Credit: 1.0

Math

Recommended: Algebra 1

In Geometry IB MYP, student will:

• Emphasize a balanced combination of procedure and conceptual understanding focusing on five critical areas

• using transformations to mathematically analyze and describe objects in the plane

• developing concepts of similarity which are foundational to geometry and its applications

• algebraically describing and analyzing objects in the plane

• measuring and quantifying attributes of two- and three-dimensional objects

• using geometric concepts to model real world objects This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

Credit: 1.0

Math

Recommended: Algebra 1 IB MYP/Honors

In Geometry IB MYP/Honors, students will:

• Emphasize a balanced combination of procedure and conceptual understanding focusing on five critical areas:

• using transformations to mathematically analyze and describe objects in the plane

• developing concepts of similarity which are foundational to geometry and its applications

• algebraically describing and analyzing objects in the plane

• measuring and quantifying attributes of two- and three-dimensional objects

• using geometric concepts to model real world objects

• This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

Credit: 1.0

Math / Career Pathway Elective for each course

This course is designed to take students from Calculus AB or BC to explore higher-level mathematical concepts. The first semester will have an emphasis on discrete mathematics.

In IB DP Mathematics HL/SL, students will:

• develop an appreciation for the nature of mathematical models, their graphs, and their application to optimizing physical and economic systems

• be able to apply research skills in solving mathematical problems

• use reasoning when applying mathematical skills • be able to communicate their process and outcomes both written and orally

Credit: 1.0

Math / Career Pathway Elective for each course

Credit: 1.0 Applied Arts / CTE - Construction

The IB DP Mathematics: applications and interpretation course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. Students are encouraged to solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations. All external assessments involve the use of technology (graphing calculators). The internally assessed exploration allows students to develop independence in mathematical learning.

In IB DP Math Applications and Interpretations 12 HL students will: Students need to complete DP Math 11 (Calculus AB) before enrolling in DP Math Applications and Interpretations HL. The second year of the course will focus primarily on statistics, while also giving students the opportunity to complete their Math Exploration internal assessment.

Credit: 1.0

Math or Career Pathway Elective for each course

The IB DP Mathematics: analysis and approaches course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course has a strong emphasis to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning.

IB DP Math Analysis and Approaches 12 HL Students enrolling in this course must have previously taken IB DP Math 11 (Calculus AB) as well as Statistics either during their 10th, 11th or concurrently during their 12th grade year. The first semester will focus on Calculus BC topics, while the second semester will focus on synthesizing the Calculus, Statistics and other math concepts as well as focusing on the Math Exploration internal assessment.

Credit: 1.0

Math

Math Studies is designed to continue with skills learned by students in their Algebra 2 course. The course uses problem solving strategies in conjunction with knowledge of the inter-connections among algebra, geometry, and functions to analyze problems and formulate appropriate solutions and to extend current knowledge by making new connections.

In Math Studies, students will:

• be able to demonstrate skills in the aforementioned math topics

• be able to apply mathematical principles and terminology

• be able to demonstrate competence in mathematical methods

• be able to apply research skills in solving mathematical problems

• use reasoning when applying mathematical skills

• be able to communicate their process and outcomes both written and orally

Credit: 1.0

Math

Recommended: Algebra 2 (with teacher recommendation)

Fee: Student will pay for textbook

In AP Statistics, students will:

• be introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data

• plan a study: decide what and how to measure

• explore data: observe patterns and departures from data

• anticipate patterns: produce models using probability and simulation

• have the opportunity to test out of college statistics course