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Curriculum

# Mathematics

The Mathematics Department strives to give students the tools necessary to succeed at the college level. Each course helps the student to develop logical thinking and problem solving skills.
The Mathematics Department endeavors to provide an environment which empowers students to become confident, competent, problem solvers. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. Our goal for students is to gain confidence in their ability to learn and apply mathematical knowledge in new situations, and be competent in using available technology as tools as they develop conceptual understanding.

## Essential Outcomes

### List of 5 items.

• #### ALGEBRA & FUNCTIONS

Understand that pattern sense gives students a lens with which to understand trends and commonalities. Understand that structures of algebra allow complex ideas to be expressed succinctly.
Students will:
1. Make both relative (multiplicative) and absolute (arithmetic) comparisons between quantities.
2. Multiplicative thinking underlies proportional reasoning
3. Make claims about relationships among numbers, shapes, symbols, and data and defend those claims by relying on the properties that are the structure of mathematics
• #### DATA, STATISTICS & PROBABILTY

Understand that data and probability sense provides students with tools to understand information and uncertainty. Understand that mathematicians ask questions and gather and use data to answer them.Understand that probability provides the foundation for collecting, describing, and interpreting data.
Students will:
1. Recognize and make sense of the many ways that variability, chance, and randomness appear in a variety of contexts
2. Solve problems and make decisions that depend on understanding, explaining, and quantifying the variability in data
3. Understand that equivalence is a foundation of mathematics represented in numbers, shapes, measures, expressions, and equations
4. Make sound predictions and generalizations based on patterns and relationships that arise from numbers, shapes, symbols, and data
5. Apply transformation to numbers, shapes, functional representations, and data
• #### GEOMETRY

Understand that geometric sense allows students to comprehend space and shape. Understand that geometry and measurements are useful in representing and solving problems in the real world as well as in mathematics.
Students will:
1. Communicate effective logical arguments using mathematical justification and proof.
2. Mathematical argumentation involves making and testing conjectures, drawing valid conclusions, and justifying thinking
3. Use critical thinking to recognize problematic aspects of situations, create mathematical models, and present and defend solutions
• #### MATHEMATICAL PRACTICES

Understand that mathematical practices provide the processes and proficiencies for a prepared graduate in mathematics. They describe ways students engage with mathematics and make connections between practice and content.
Students will:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively; construct viable arguments and critique the reasoning of others.
3. Model real-world situations with mathematics.
4. Use appropriate tools strategically; attend to precision.
5. Look for and make use of structure; look for and express regularity in repeated reasoning.
• #### NUMBER & QUANTITY

Understanding quantity, ways of representing numbers, relationships among numbers, and number systems. Understand that numbers are governed by properties and understanding these properties leads to fluency with operations.
Students will:
1. Understand quantity through estimation, precision, order of magnitude, and comparison. The reasonableness of answers relies on the ability to judge appropriateness, compare, estimate, and analyze error
2. Are fluent with basic numerical and symbolic facts and algorithms, and are able to select and use appropriate (mental math, paper and pencil, and technology) methods based on an understanding of their efficiency, precision, and transparency

## Faculty

### List of 8 items.

• #### George Dinwiddie

Department Chair
george.dinwiddie@mullenhigh.com
BS Mathematics, Metropolitan State University
MA Ed- Use of technology in education, Lesley College

• BS Secondary Math, Minor Biology, Louisiana Tech University
MA in Art and Science of Teaching, Grand Canyon University
• #### Heidi Capek

heidi.capek@mullenhigh.com
BS in Mathematics, Doane College
MA in Curriculum and Instruction, Doane College
• #### Lorraine Capra

lorraine.capra@mullenhigh.com
BA in Education minor in Mathematics, Metro State University

• #### Leah Leddin '00

leah.leddin@mullenhigh.com
BS in Mathematics, Metro State University
• #### Pam Paulus

pam.paulus@mullenhigh.com
Clemson University
BS in Industrial Engineering
DePaul University
MA in Mathematics Education
• ## Course Offerings

### List of 19 items.

• #### Algebra I

This is a full year course that combines the content from Algebra I A CP and Algebra I B CP. This course includes the following topics: simplifying variable expressions, order of operations, properties of algebra, solving linear equations, solving proportions, graphing and writing linear equations, solving linear inequalities, solving absolute value equations and inequalities, solving systems of equations and inequalities, exponential properties and functions, polynomials and factoring, solving and graphing quadratic functions, solving rational functions, and solving radical functions. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)

• #### Algebra I College Prep

This course includes the following topics: simplifying variable expressions, properties of algebra, solving linear equations, solving proportions, graphing and writing linear equations, solving linear functions and linear inequalities, and solving systems of equations. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA course)
• #### Algebra II College Prep

This course is an in-depth review of important Algebra I concepts. It covers problem solving, linear equations and inequalities, solving absolute value equations and inequalities, graphing and writing linear equations and functions, graphing and solving systems of equations and inequalities, solving systems of equations using matrices, solving and graphing quadratic equations using several methods, complex numbers, simplifying polynomial expressions, properties of exponents, solving and graphing polynomial equations. In depth regression analysis of all functions is included. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Algebra II Honors

This course is an in-depth review of important Algebra I concepts. It covers problem solving, linear equations and inequalities, solving absolute value equations and inequalities, graphing and writing linear equations and functions, graphing and solving systems of equations and inequalities, solving systems of equations using matrices, solving and graphing quadratic equations using several methods, complex numbers, simplifying polynomial expressions, properties of exponents, solving and graphing polynomial equations. In depth regression analysis of all functions is included. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Calculus AB AP®

This is a three-trimester course leading to the Advanced Placement® Examination. Students will study limits and continuity, derivatives, applications of derivatives, integration, applications of the definite integral, transcendental functions, and techniques of integration. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. All students will take the Advanced Placement® exam at the end of the year. (NCAA Course)
• #### Calculus BC AP®

This is a three-trimester course leading to the Advanced Placement® BC examination. Students will do an in-depth study of limits and continuity, derivatives, applications of derivatives, integration, applications of the definite integral, transcendental functions, techniques of integration, improper integration, parametric, polar, and vector functions, convergence and divergence of series, Taylor and Maclaurin series. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. A graphing calculator is required. All students will take the Advanced Placement® examination at the end of the year. (NCAA Course)
• #### Calculus Honors

This is the first trimester course of a two-trimester series. The second trimester is called Calculus B Honors. In this first trimester, students will study limits and continuity, derivatives, related rates and applications of derivatives. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Geometry

This course emphasizes the integration of logical reasoning and spatial visualization skills. Deductive reasoning, theorems and proofs are used to study relationships of points, lines, planes, angles, congruent triangles, and quadrilaterals. The inequality relationships that exist between these figures will also be studied. There will continued use of algebraic equations and graphing calculators with respect to geometry. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. (NCAA Course)
• #### Geometry College Prep

This is a course enhanced by emphasizing and integrating logical reasoning and spatial visualization skills. Deductive reasoning, theorems, and proofs are used to study relationships of points, lines, planes, angles, congruent triangles, and quadrilaterals. The inequality relationships that exist between these figures will also be studied. There will continued use of algebraic equations and graphing calculators with respect to geometry. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. (NCAA Course)
• #### Geometry Honors

This is a course enhanced by emphasizing and integrating logical reasoning and spatial visualization skills, deductive reasoning, theorems, and proofs are used to study relationships of points, lines, planes, angles and congruent triangles. The inequality relationships that exist between these figures will also be studied. There will continued use of algebraic equations and graphing calculators with respect to geometry. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. (NCAA Course)
• #### Math Analysis

This course is designed to provide students a strong foundation of pre-calculus concepts, techniques, and applications that will prepare students for more advanced work in mathematics. The course will include study of the following types of functions: polynomial, exponential, and logarithmic. Conic sections and imaginary numbers will also be studied. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Pre-Calculus College Prep

This course is the study of functions and the nature of their graphs, matrices, solving equations, systems of equations, logarithms, and limits. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Pre-Calculus Honors

This course is an in-depth study of functions leading to AP Calculus. Students will fine tune and expand their problem solving skills through the study of the nature of graphs of functions. Students will solve problems involving exponential and rational functions, logarithms, limits, and conic sections. Students will be introduced to the derivative and integral functions from calculus. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Statistics AP®

The AP® Statistics course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  The four themes evident in the AP® Statistics course include exploring data, sampling and experimentation, probability and simulation, and statistical inference.  Students use technology, investigation, problem solving, and writing as they build conceptual understanding.This AP® course is a two trimester course.
• #### Trigonometry College Prep

This course is the study of trigonometry with emphasis on applications. Students will develop the unit circle, graphs of the six trigonometric functions, applications of the law of sines and cosines, and trigonometric identities. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)
• #### Trigonometry Honors

This course is an in-depth study of trigonometry. Students will develop the unit circle, graphs of the six trigonometric functions, applications of the law of sines and cosines, and trigonometric identities. Students will also study parametric and polar equations. Math courses at Mullen build conceptual understanding, procedural fluency of skills, and application of concepts in real-world situations at a level appropriate for the course content. A graphing calculator is required. (NCAA Course)