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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 Department is committed to the integration of technology into the learning process. Graphing calculators are used as a tool to enhance the curriculum in all classes at all levels. Problems are solved algebraically, graphically, and numerically to give each student the opportunity to find his or her best learning style. 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. Graphing calculators are required for all courses, with the Ti-84 plus series preferred.
Students will be able to manipulate mathematical functions and formulas.(Grad at Grad: Concern for Poor and Social Justice, Excellence in Education, Respect for All People)
Students will:
Determine when and how a mathematical formula can be applied
Identify the characteristics of a variety of mathematical functions
Understand how to use mathematical functions to model real world situations
Students will be able to recognize mathematical patterns, and analyze data.(Grad at Grad: Concern for Poor and Social Justice, Excellence in Education)
Students will:
Analyze patterns and trends in data to make future predictions
Recognize patterns that occur in the solving process of many types of equations
Students will be able to recognize and use appropriate solution methods.(Grad at Grad: Excellence in Education, Participation within Inclusive Community)
Students will:
Use commonly accepted practices to solve a variety of equations
George began working at Mullen in 2015 after retiring from Jefferson County Public Schools where he taught mathematics and coached baseball. He has experience teaching all ages from the 5th grade classroom through calculus for both the University of Colorado at Denver and Red Rocks Community College. George enjoys most all sports and outdoor activities, especially racquetball and fly-fishing and he is an avid fan of all Denver sports teams! He also enjoys cooking, movies, theater and attending concerts. He and his wife Linda have two kids, Annie and Jake... along with two great Danes, a miniature therapy horse and a goat!
Marjorie Ader
marjorie.ader@mullenhigh.com BS Secondary Math, Minor Biology, Louisiana Tech University MA in Art and Science of Teaching, Grand Canyon University
Marjorie’s first year at Mullen High School was 2017 after having retired from Jefferson County Schools. She has 38 years experience teaching secondary math (Algebra 1 through Calc BC) in Arkansas and Louisiana before settling in Colorado. She enjoys spending time with her 3 daughters (Lauren, Hayley and Alex) and her husband Bob. The favorite Friday night family activity when her daughters were in high school was to watch episodes of Numbers while eating pizza and popcorn.
Heidi Capek
heidi.capek@mullenhigh.com BS in Mathematics, Doane College MA in Curriculum and Instruction, Doane College
Heidi has taught at Mullen from 2010-2016 and 2017-present. Prior to Mullen, Mrs. Capek taught 3 years at Fremont High School in NE and 3 years at Sheridan High School here in Denver. She is originally from Johnson, NE and enjoys traveling back to see family at least once a year. When not at Mullen, Heidi loves to spend time with her family and enjoys the occasional concert or music festival.
Lorraine has taught at Mullen from 1994-1998 and 2005- present. She was head girls basketball coach from 94-98 and also played collegiately. She has one son Gianmarco who graduated from Mullen in 2017.
Leah Leddin began her career at Mullen in 2011. Prior to coming to Mullen Leah taught at Arvada West High School and Sheridan Middle School. She graduated from Mullen in 2000 and went to state all four years in swimming and tennis. Leah spent 2 years as the girls head swim coach and the boys assistant swim coach at Mullen, before giving birth to her first child. She and her Colorado native husband Andy have been married since 2010. When not at Mullen, Leah loves to spend time with her husband, kids, and family. She enjoys traveling, reading and participating in 5ks.
Pam Paulus
pam.paulus@mullenhigh.com Clemson University BS in Industrial Engineering DePaul University MA in Mathematics Education
Pam Paulus began her teaching career at an all boys Catholic school in Chicago. After moving around and living in Atlanta, Chicago and Annapolis, she and her family settled in Colorado. Ms. Paulus taught in Jeffco Public Schools before arriving at Mullen in 2016. She has 3 very active children: John (attending CU Boulder starting in the fall of 2017); Abby (attending Mullen-Class of 2021) and Brad (a competitive swimmer who will graduate high school in 2023). When not at Mullen, Pam loves to spend time with her family and friends, enjoys the outdoors, traveling, and watching Clemson football. Go Tigers!.
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)
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)
This course includes the following topics: solving systems of equations and inequalities, exponential properties and functions, polynomials and factoring, solving and graphing quadratic functions, solving rational and 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)
This course includes the following topics: a brief review of solving linear equations and linear inequalities, followed by graphing linear functions, writing equations for linear functions, writing and graphing arithmetic sequences as functions, solving and graphing linear inequalities, solving and graphing absolute value functions and inequalities, and solving systems of linear equations and inequalities. 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)
This course includes the following topics: exponential properties and functions, solving exponential equations, writing and graphing geometric sequences as functions, operations with polynomials, factoring and solving polynomial equations, solving and graphing quadratic functions, applications of quadratic functions, graphing and applications of square root functions, solving radical equations, and inverse of a function. 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)
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)
This course studies rational exponents, power functions, solving radical equations, finding inverse relations, solving and graphing exponential functions and logarithmic functions, inverse and inverse and direct variation, simplifying rational expressions, solving and graphing rational equations, solving quadratic systems. 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)
This is a full year course. Topics include writing equations for linear functions, solving systems of linear equations, exponential properties and functions, solving exponential equations, writing and graphing geometric sequences as functions, operations with polynomials, factoring and solving polynomial equations, solving and graphing quadratic functions, applications of quadratic functions, graphing and applications of square root functions, solving radical equations, and inverse of a function. The geometry portion begins with 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. In addition, quadrilaterals, similar polygons, right triangles, introduction to trigonometry, circles, areas of plane figures, and areas and volumes of solids will be covered. There will be 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)
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)
This course studies rational exponents, power functions, solving radical equations, finding inverse relations, solving and graphing exponential functions and logarithmic functions, inverse and inverse and direct variation, simplifying rational expressions, solving and graphing rational equations, solving quadratic systems. 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)
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)
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)
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)
This course is a continuation of the concepts studied in Calculus A H. Additionally; students will study integration, applications of the definite integral, and integration techniques. 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)
This course includes first and second order differential equations, linear algebra, Laplace transforms and systems of equations. Emphasis will be on modeling and applications. 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)
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)
This course emphasizes the integration of logical reasoning and spatial visualization skills. Deductive reasoning is used in the approach to similar polygons, right triangles, introduction to trigonometry, circles, areas of plane figures, and areas and volumes of solids. There will be 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)
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)
This course emphasizes the integration of logical reasoning and spatial visualization skills. Deductive reasoning is used in the approach to similar polygons, right triangles, introduction to trigonometry, circles, areas of plane figures, and areas and volumes of solids. There will be 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)
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)
This course emphasizes the integration of logical reasoning and spatial visualization skills. Deductive reasoning is used in the approach to quadrilaterals, similar polygons, right triangles, introduction to trigonometry, circles, areas of plane figures, and areas and volumes of solids. There will be 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)
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)
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 the 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. 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)
In Multivariable Calculus, students extend their study of calculus from the xy-plane into 3-dimensional space. After an initial examination of geometry and algebra of 3D-space, students will use differential and integral calculus to study the nature of curves and surfaces in 3D-space. Topics include linear approximations of curves and surfaces in 3D-space, optimization of functions in several variables, use of integral calculus to study area, volume, and other applications, and an examination of the calculus of vector fields. 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.
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)
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)
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.
This course is an introduction into statistics and probability. Students will conduct simulations to better understand the complex world of data analysis. Students will then use a critical eye to create a multitude of summary statistics. Students will also look at applicable probabilities that they will see in their everyday life and into college. This is an interactive class, great for students looking into business or analysis in the future. 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. Graphing calculator required. (NCAA Course)
This course is a continuation of the concepts studied in Statistics A CP. Additionally, students will study inferential statistics, hypothesis testing, and regressions analysis. 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)
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)
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)