# Math

As a department we strive to meet the needs of a variety of students in a diverse socio-economic culture. One of our top priorities is to adequately prepare both college bound students and students who will enter the work force following graduation. Placement at the freshman level is made to accommodate all students for success throughout their high school mathematics careers. Course offerings begin with Regular Algebra 1 a and continue through Calculus.

We are also currently making changes in our curriculum to align classes with the Common Core Standards. Using these standards as a guide, we expect to promote rigor and relevance in all mathematics courses offered. Through implementation of the Common Core Standards we will also encourage students to use higher order thinking skills in their work.

### Courses Offered

**Algebra 1 **

Level: Academic, Enriched 9, 10, 11, 12

Length of course: One year

Prerequisite: None

Course Description:

In this course, the student will come into contact with symbols and sets, variables and open sentences, equations, and problem solving. Additionally, students will learn the negative numbers, equations, inequalities, problem solving, working with polynomials, special products and factoring, working with fractions, graphs, sentences in two variables, the real numbers, functions and variations, quadratic equations, and inequalities. Emphasis on the structure of algebra is combined with systematic instruction in the techniques of algebra.

**Transitional Math**

Level: Regular 9

Length of course: One year

Prerequisite: None

Course Description:

Students will learn to apply integers, decimals, fractions, and percents in occupational settings. The course will guide students through some of the mathematics necessary for careers such as; Technical trades, culinary arts, cosmetology, medical/dental/veterinary assistant, truck driving, landscaping, graphic design, photography, military and more. Content may also include: budgeting, balancing checkbook and percentages.

**Applied Algebra**

Level: Regular 10

Length of Course: One Year

Prerequisite: Successful completion of Transitional Math

Course Description**:**

Students will learn to set up and solve proportions, convert units of measurements, solve equations using volume, surface area, perimeter, and temperatures.They will learn equations and graphs of lines. Students will learn the coordinate plane. Students will solve real world problems using graphing, substitution, and elimination. The course will guide students through some of the mathematics necessary for careers such as; Technical trades, culinary arts, cosmetology, medical/dental/veterinary assistant, truck driving, landscaping, graphic design, photography, military and more. Content could also include: budgeting, balancing checkbook and percentages.

**Geometry **

Level: Academic, Enriched

Length of course: One year (Enriched Geometry may be taken by freshmen with a MAP Math score of 246 and 70% or higher on the extra enriched placement test.)

Department: Math

Prerequisite: Algebra 1

Course Description:

Geometry is a study of the properties, relations, and construction of such plane figures as the point, lines, angles, straight line figures, and the circle. A careful study is made of ratio and proportion. The meaning of proof is emphasized, and the student is given many opportunities to discover facts and relationships. The student receives training in logical thinking both in the analysis and in the development of a formal proof. Non-geometrical exercises are introduced to provide transfer to the field of non-mathematical reasoning. Emphasis is placed on how a mathematical system is developed. The course also includes some of the essentials of solid geometry. The goal is to develop original and independent thinking.

**Algebra 2**

Level: Regular, Academic, Enriched 10, 11, 12

Length of course: One year

Department: Math

Prerequisite: Algebra 1 and Geometry

Course Description:

In this course, students will encounter sets of numbers, open sentences in one variable, systems of linear open sentences, polynomials and factoring, rational numbers and expressions, relations and functions, irrational numbers and quadratic relations and systems, exponential functions and logarithms, trigonometric functions and complex numbers progressions and binomial expansions, and matrices and determinants. Enriched Algebra 2 also includes polynomial functions, permutations, combinations and probability. Emphasis is on the structure of algebra combined with systematic instruction in the techniques of algebra.

**Pre-Calculus **

Level: Academic, Enriched 11, 12

Length of course: One year

Department: Math

Prerequisite: Academic or Enriched Algebra 2

Course Description:

This course is designed to lay the foundation for the study of calculus. In the first two chapters the curriculum expands on polynomial and rational function. The curriculum then moves to transcendental functions involving exponential growth and decay utilizing the rules of logarithms. The following three chapters involve the study of trigonometry and the unit circle with trigonometric identities expanded only at the enriched level. Other topics beyond trigonometry consist of probability with combinations and permutations, systems of equations solved through Gaussian elimination methods, sequences and series, binomial theorem, mathematical induction and the introduction of the concept of derivative as it applies to calculus. The enriched student should be prepared to take calculus 1 after this course.

Technology utilized in this course: Graphing calculators, while not required, would be very useful in this course. Students that plan to move into fields that require extensive math in college should purchase a Texas Instruments graphing calculator to become familiar with the features for college use. Internet accessibility along with a PC, chromebook, or some other internet based device will be necessary for success in PreCalculus. The majority of the homework assignments are internet based to give students preparedness for similar requirements in college.

**AP Calculus AB**

Level:Enriched 11,12

Length of course: One year

Prerequisite: Pre Calculus a grade of “C-” or better

Course Description:

AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. Students will take the AP Calculus Exam and if they score a 3,4, or 5 on the exam they will earn college credit for the class.

**MATH 099 / Mathematical Literacy - No ICC tuition and fees apply - free to EPCHS students**

Level: Academic 12

Length of course: One semester

Department: Math

Prerequisite: Successful completion of three years of high school math.

Course Description:

This is an ICC course. The course is one semester and is designed for students who do not plan to be math or science majors. The curriculum entails integrating numeracy, proportional reasoning, algebraic reasoning, and functions. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Throughout the course, college success content will be integrated with math topics. Credit earned does not count toward any degree, nor does it transfer. However, upon successful completion of this course, the student will have completed the prerequisite for taking Math 111.

**MATH 111 / General Education Statistics (Dual Credit/Early College 3 college credits) ICC tuition and fees apply**

Level: Enriched 12

Length of course: One semester

Department: Math

Prerequisite: Approved reading placement score and successful completion of Math 099 with a C or better, or successful completion of Algebra II with a C or better. This course may not be taken for a math credit.

Course Description:

This course includes a study of frequency distribution, graphs (histograms, pie charts, etc.) measures of location (mean, median, mode, and percentile), measures of dispersion (variance, standard deviation), probability, estimating and predicting, normal distribution, binomial distribution, and correlation. This course will emphasize the quantitative portion of descriptive statistics -- gathering, analyzing, presenting and interpreting data.

### Math Staff

**Jackie Armich** - 309-698-7595 - jarmich@ep309.org

Jackie Armich received her B.S. in Mathematics Education from Illinois State University in 2002. She is originally from Bradley, Illinois. She began her career at EPCHS in 2004. In 2011 she received her M.S. in Curriculum and Instruction from Illinois State University. Jackie has also worked as an advisor for National Honor Society and is a member of the Illinois Council of Teachers of Mathematics. Geometry is her favorite type of mathematics. When not working, Jackie enjoys spending time with her family, reading, and crafting.

**Kelly Ciocca** - 309-698-7540 - kciocca@ep309.org

Kelly Ciocca graduated from Illinois State University in 1993. She began her first math teaching job immediately after graduation at Morris High School. After several years, she left Morris to use her mathematics and education skills in the business world working for a few companies in Pennsylvania, Georgia and Chicago in their finance and education departments. Moving to Morton in 2011 with her husband (of 19 years) and 3 children (currently senior, sophomore, and 8th grader), she began working for the Morton school district part-time as a teacher in the elementary and high school buildings. This is Mrs. Ciocca's first year at EPCHS and she is super excited to be a Raider!

**Tamara Coughlon** - 309-698-7548 - tcoughlon@ep309.org

Tami Coughlon is a math teacher at East Peoria High School. She teaches Regular, Academic, and Enriched Algebra 2. She has been at EPCHS since August of 1994.

**Joe Hruban** - 309-698-7546- jhruban@ep309.org

I am originally from a suburb south of Chicago called Midlothian. I graduate with a B.A. in Mathematics and a B.A. in Mathematics in Education in 2012 from St. Xavier's University. I started Teaching Delavan Jr/Sr High School that same year until 2019. I am currently working on obtaining my M.S in Mathematics through ISU.

**Laura Moore** - 309-694-8366 - lmoore@ep309.org

Laura Moore joined the math faculty at EPCHS in 2013 after teaching at Brimfield High School from 2010 until 2013. She graduated from Eureka College in 2010 with a B.S. in Mathematics with Teacher Certification and the American College of Education in 2012 with a M.S. in Curriculum and Instruction.

**Matt Plummer** - 309-698-7553 - mplummer@ep309.org - Website

I was married to my wife Anissa in 1994 who teaches 3rd grade at Bolin School in East Peoria. I graduated from Illinois State University with a B.S. in secondary mathematics education in 1995. I began teaching mathematics at East Peoria Community High School in August of 1995. My son Jake was born in 1996 and daughter Haley in 1999. Through my tenure at E.P.C.H.S. I have earned a masters degree in education through Olivet Nazarene University and a masters degree in school administration with a type 75 certificate through St. Xavier University.

**Alex Van Winkle** - 309-698-7547 - avanwinkle@ep309.org

Graduated from NIU in 1994 and have been teaching mathematics since that same year. I have been at EPCHS since 2002.

### Math Resources

Resources coming soon!