## Math Department

Mater Dei students are required to complete six credits of math courses during high school beginning with the Class of 2010. Each student will be expected to access MATHXLforschool.com for homework and other class activities. Each student is required to have a graphing calculator; the TI 83 or TI 84.

#### Key

Mater Dei Graduation Requirement

Elective

Core 40 Required

Academic Honors Required

NCAA Approved

### 2520 ALGEBRA I

**Grade 9**

Two Semesters, 2 Credits

Students who are ready for high school Algebra but do not have prior exposure to Algebra; took 8th-grade math or Pre-Algebra in 8th-grade. (Transcript reads "Algebra 1")

Two Semesters, 2 Credits

Students who are ready for high school Algebra but do not have prior exposure to Algebra; took 8th-grade math or Pre-Algebra in 8th-grade. (Transcript reads "Algebra 1")

Algebra IA provides a formal development of the algebraic skills and concepts necessary for students who will take other advanced college-preparatory courses in math and science. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course.

Topics include:

- operations with real numbers
- linear equations and inequalities
- relations and functions
- Polynomials
- algebraic fractions
- quadratic, cubic, and radical equations
- mathematical reasoning and problem-solving

### 2510 ALGEBRA I LAB

**Grade 9**

Two Semesters, 2 Elective Credits

A student taking Algebra I Lab must also be enrolled in Algebra IE during the same academic year.

Two Semesters, 2 Elective Credits

A student taking Algebra I Lab must also be enrolled in Algebra IE during the same academic year.

Algebra I Lab is a support course for Algebra I. The course provides the student with additional time to build the foundations necessary for high school math courses, while concurrently having access to rigorous, grade-level appropriate courses.

The five critical areas of Algebra Enrichment align with the critical areas of Algebra I:

- Relationships between Quantities and Reasoning with Equations
- Linear and Exponential Relationships
- Descriptive Statistics
- Expressions and Equations
- Quadratic Functions and Modeling

Algebra Enrichment combines standards from high school courses with the foundational standards from the middle grades.

### 2520 ALGEBRA IE

**Grade 9**

Two Semesters, 2 Credits

Students who find math especially difficult will benefit from having an Algebra block every day. (Transcript reads "Algebra 1 and Algebra lab")

Two Semesters, 2 Credits

Students who find math especially difficult will benefit from having an Algebra block every day. (Transcript reads "Algebra 1 and Algebra lab")

Algebra I provides a formal development of the algebraic skills and concepts necessary for students who will take other advanced college-preparatory courses in math and science. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course.

Topics include:

- operations with real numbers
- linear equations and inequalities
- relations and functions
- Polynomials
- algebraic fractions
- quadratic, cubic, and radical equations
- mathematical reasoning and problem-solving

### 2520 ALGEBRA IA

**Grade 9**

Two Semesters, 2 Credits

Students who are ready for high school Algebra and who have taken an Algebra course in 8th-grade. Since these students have already been exposed to many Algebra concepts, they can delve deeper into the Algebra 1 topics. (Transcript reads "Algebra 1")

Two Semesters, 2 Credits

Students who are ready for high school Algebra and who have taken an Algebra course in 8th-grade. Since these students have already been exposed to many Algebra concepts, they can delve deeper into the Algebra 1 topics. (Transcript reads "Algebra 1")

Algebra IA provides a formal development of the algebraic skills and concepts necessary for students who will take other advanced college-preparatory courses in math and science. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course.

Topics include:

- operations with real numbers
- linear equations and inequalities
- relations and functions
- Polynomials
- algebraic fractions
- quadratic, cubic, and radical equations
- mathematical reasoning and problem-solving.

### 2532 GEOMETRY

**Grades 9-12**

Two Semesters, 2 Credits

Two Semesters, 2 Credits

Geometry provides students with experiences that deepen the understanding of shapes and their properties. Deductive reasoning, as well as investigative strategies in drawing conclusions, are stressed.

Properties and relationships of geometric figures include the study of:

- Angles
- Lines
- Planes
- congruent and similar triangles
- trigonometric ratios
- Polygons
- Circles
- tessellations and transformations

An understanding of proof and logic is developed.

### 2522 ALGEBRA II

**Grades 10-12**

Two Semesters, 2 Credits

Prerequisite: Geometry or doubling with Algebra II & Geometry.

To double up, students need a grade of B+ or better in Algebra I.

Two Semesters, 2 Credits

Prerequisite: Geometry or doubling with Algebra II & Geometry.

To double up, students need a grade of B+ or better in Algebra I.

Algebra II is a course which expands on the topics of Algebra I and provides further development of the concept of a function.

The expanded topics of this course include:

- the theorems and algorithms of algebra
- polynomials and polynomial functions
- rational exponents
- the complex numbers, sequences, and series
- the properties and graphs of conic sections
- permutations, combinations, probability
- Matrices
- exponential and logarithmic functions

### 2514 CCR BRIDGE: MATH READY

**Grade 12**

Two Semesters, Two Credits

Two Semesters, Two Credits

CCR Bridge: Math Ready will include and reinforce the Algebra I, Geometry, Algebra II, and Statistics skills necessary to be ready for an entry-level college math course. This course emphasizes understanding math concepts rather than just memorizing procedures. Math Ready students learn the context behind the procedure: why to use a certain formula or method to solve a problem, for example. This equips them with higher-order thinking skills in order to apply math skills, functions, and concepts in different situations. The course is intended for students who currently have achieved the minimum math requirements for college entry. The content of this course is designed to enhance students' math skills so that they are ready for college-level math assignments. It is not designed to prepare students for college-level math in STEM majors.

### 2550 QUANTITATIVE REASONING

**Grade 12**

Two Semesters, 2 Credits

Two Semesters, 2 Credits

This course is a mathematics course focused on the study of numeracy, ratio, and proportional reasoning, modeling, probabilistic reasoning to assess risk, and statistics.

Students build knowledge of and confidence with basic mathematical/ analytical concepts and operations required for problem-solving, decision making, and economic productivity in real-world applications and prepare for an increasingly information-based society in which the ability to use and critically evaluate information, especially numerical information, is essential.

Technology, such as computers and graphing calculators, should be used frequently. This higher-level mathematics course is designed to align with college-level quantitative reasoning courses for dual secondary/college credit.

### 2562 AP CALCULUS AB

**Grade 12**

Two Semesters, 2 Credits

Prerequisite: Grade 'C' or better in Pre-Calculus or currently enrolled in Pre-Calculus (with teacher's approval).

Two Semesters, 2 Credits

Prerequisite: Grade 'C' or better in Pre-Calculus or currently enrolled in Pre-Calculus (with teacher's approval).

AP Calculus is an advanced math class generally including topics such as

- Limits
- Continuity
- Derivatives
- definite integrals
- techniques of integration involving rational, trigonometric, logarithmic, and exponential functions

This course also includes applications of the derivative, the integral, and theory of calculus.

### 2564 CAP PRE-CALCULUS/ TRIGONOMETRY

**Grades 11-12**

Two Semesters, 2 Credits

Prerequisite: Grade of 'C' or better in Algebra II

4 Dual College Credit Course - USI

Two Semesters, 2 Credits

Prerequisite: Grade of 'C' or better in Algebra II

4 Dual College Credit Course - USI

Pre-Calculus blends together all of the concepts and skills that must be mastered prior to enrollment in a college-level calculus course.

Topics include:

- relations and functions
- logarithmic and exponential functions
- trigonometry in triangles
- trigonometric functions
- identities, and equations
- polar coordinates and complex numbers
- sequences and series
- data analysis
- math reasoning and problem-solving

The TI graphing calculator is used extensively in this class.

### 2564 PRE-CALCULUS/ TRIGONOMETRY

**Grades 11-12**

Two Semesters, 2 Credits

Prerequisite: Grade of 'C' or better in Algebra II

Two Semesters, 2 Credits

Prerequisite: Grade of 'C' or better in Algebra II

Pre-Calculus blends together all of the concepts and skills that must be mastered prior to enrollment in a college-level calculus course. Topics include the following: relations and functions; logarithmic and exponential functions; trigonometry in triangles; trigonometric functions, identities, and equations; polar coordinates and complex numbers; sequences and series; data analysis; math reasoning and problem-solving. The TI graphing calculator is used extensively in this class.

### 2570 AP STATISTICS

**Grade 11-12**

Two Semesters, 2 Credits

Two Semesters, 2 Credits

AP Statistics is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.

There are four themes in the AP Statistics course:

- exploring data
- sampling and experimentation
- Anticipating patterns
- statistical inference.

Students use technology, investigations, problem-solving, and writing as they build conceptual understanding. This course develops appreciation for, and skill in, applying statistical techniques in the decision-making process.

Topics may include methods of data collection, organization of data, and graphical techniques for exhibiting data together with measure of central tendency and variation. Basic laws of probability, sampling theory, hypothesis testing, and making inferences from samples are also included. Practical examples based on real experimental data are used throughout. Students will plan and conduct research and analyze the resulting data.

### 4568 AP COMPUTER SCIENCE PRINCIPLES

**Grade 12**

Two Semesters, 2 Credits

Two Semesters, 2 Credits

AP Computer Science introduces the students to the essential ideas of computer science and shows how computing and technology can influence the world around them. Students will creatively address real-world issues and concerns while using the same processes and tools as artists, writers, computer scientists, and engineers to bring ideas to life.