Math

Ms. Aguilar, Mr. Bohan, Ms. Clark, Ms. Greig, Ms. Pierce, Ms. Scanlan, Ms. Serrano, Ms. Sills, Ms. Simbides, Ms. Vitek, Mr. Zeka –

Algebra IB (year 2)

Code: 5087-5088

Credit: 1 credit

Elective/Required: Required 9-12

Prerequisite: Algebra 1A or some Algebra 1, but not successful completion of Algebra 1, 2nd semester.

Course Description: This course is the bridge from the concrete to the abstract study of mathematics. This course is designed to emphasize the study of multiple representations of linear and nonlinear functions. It includes mathematical concepts for working with multiple types of expressions, analyzing and solving equations and inequalities, data analysis, probability, statistics, and polynomials.

Skills needed to be Successful in the Class

Students must be competent in math basic skills: addition, subtraction, multiplication, and division of integers, fractions and decimals, and the use of the order of operations.

Learning Goals: The student will be able to:

Simplify expressions.
Solve both simple and complex equations and inequalities.
Use various strategies to write and apply the equation of a line.
Use various strategies to solve systems of equations and inequalities.
Simplify exponential expressions and graph exponential functions.
Work with polynomials, including factoring.
Simplify quadratic expressions and solve quadratic equations.
Complete basic data analysis and calculate probability.

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine,family and consumer service, statistics, actuary science

Algebra 1/Honors Algebra 1

*Honors Section(s) are for those students who have a passion and commitment to mastery of mathematical concepts. ISASP proficiency or approval of the instructor is necessary to enroll in honors.

Code: 5069-5070

Credit: 1 credit

Elective/Required: Required 9-12

Prerequisite: None. Teacher recommendation

Course Description: This course is the bridge from the concrete to the abstract study of mathematics. This course is designed to emphasize the study of multiple representations of linear and non-linear functions. It includes mathematical concepts for working with rational numbers, multiple types of expressions, analyzing and solving linear equations & inequalities, data analysis, probability, statistics, and polynomials.

Skills needed to be Successful in the Class

Students must be competent in math basic skills: addition, subtraction, multiplication, and division of integers, fractions and decimals, and the use of the order of operations.

Learning Goals: The student will be able to:

Simplify expressions.
Solve both simple and complex equations and inequalities.
Use various strategies to write and apply the equation of a line.
Use various strategies to solve systems of equations and inequalities.
Simplify exponential expressions and graph exponential functions.
Work with polynomials, including factoring.
Simplify quadratic expressions and solve quadratic equations.
Complete basic data analysis and calculate probability.

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Algebra 2/Honors Algebra 2

*Honors Section(s) are for those students who have a passion and commitment to mastery of mathematical concepts. Algebra I grade of B- or better or approval of the instructor to enroll in honors is needed.

Code: 5071-5072

Credit: 1 credit

Elective/ Required: Elective 10-12

Prerequisite: Successful completion of Algebra 1 and Geometry or parent meeting and teacher approval

Course Description: Algebra 2 provides a review and extension of the concepts taught in Algebra 1. Topics covered will include equations and inequalities, linear, quadratic, polynomial, radical, rational, exponential and logarithmic functions, sequences and series, probability and statistics, and matrices. Throughout this course, students will develop learning strategies, critical thinking skills, and problem solving techniques to prepare for future math courses and college entrance exams.

Skills Needed to be Successful in the Class

Students must be able to solve simple and complex equations.

Learning Goals: The student will be able to:

Solve equations and inequalities.
Solve linear systems.
Solve quadratic equations.
Simplify and solve polynomial expressions and equations.
Simplify and solve radical expressions and equations.
Simplify and solve logarithmic and exponential expressions and equations.
Simplify and solve rational expressions and equations.
Identify and extend arithmetic and geometric sequences and series.

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Algebra 2- Block

Code: 5074 (RAI Approved)

Credit: 1 credit (2 Period Block Course) Intended for students that took Geometry Block 1st Semester.

Elective/ Required: Elective 10-12

Prerequisite: Successful completion of Algebra 1 and Geometry

Course Description: This course is taught during a 2 period block session. Algebra 2 provides a review and extension of the concepts taught in Algebra 1. Topics covered will include equations and inequalities, linear, quadratic, polynomial, radical, rational, exponential and logarithmic functions, sequences and series, probability and statistics, and matrices. Throughout this course, students will develop learning strategies, critical thinking skills, and problem solving techniques to prepare for future math courses and college entrance exams.

Skills Needed to be Successful in the Class

Students must be able to solve simple and complex equations.

Learning Goals: The student will be able to:

Solve equations and inequalities.
Solve linear systems.
Solve quadratic equations.
Simplify and solve polynomial expressions and equations.
Simplify and solve radical expressions and equations.
Simplify and solve logarithmic and exponential expressions and equations.
Simplify and solve rational expressions and equations.
Identify and extend arithmetic and geometric sequences and series.

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Advanced Algebra

Code: 5033 (RAI Approved)

Credit: ½ credit

Elective/Required: Elective 11-12

Prerequisite: Successful completion of Algebra 2

Course Description: Advanced Algebra is a course in which emphasis is placed on advanced algebra, functions and combinations of these topics. The student will spend time studying algebraic expressions, linear functions, polynomial functions, logarithmic functions, exponential functions, rational functions, theory of equations, and the nature of graphs.

Skills Needed to be Successful in the Class

Students must be able to solve equations, linear functions, systems of equations, and quadratic equations, as well as graph functions, work with exponents and exponential functions.

Learning Goals: The student will be able to:

Solve polynomial, rational and exponential equations.
Graph linear, polynomial, exponential, and logarithmic functions.
Perform mathematical operations on polynomials.
Write equations of lines, circles, and parabolas.

Careers Related to Content

Education, accounting, engineering, architecture, medicine, technology, computer, marketing, actuary science, business, financial analyst, insurance, management

Calculus I (Concurrent Course)

Code: 5037 (RAI Approved)

Credit: ½ credit

Elective/Required: Elective 11-12

Prerequisite: Proficiency on Iowa Assessments; Successful completion of Pre-Calculus or instructor’s approval. Grade of C- or better in Pre-Calculus.

Course Description: Calculus I is the study of algebraic, trigonometric, and logarithmic functions; the introduction to and development of limits and their properties; the derivatives of algebraic, trigonometric, and logarithmic functions and the applications to maximum and minimum values of the functions; the introduction to and development of the basic integration formulas and rules.

Skills Needed to be Successful in the Class

Students must be skilled in algebraic and trigonometric manipulations and techniques.

Learning Goals: The student will be able to:

When studying the algebraic, trigonometric, and logarithmic functions: sketch their graphs, find the limit or limit at infinity of the functions, determine if they are continuous and differentiable on an interval, determine derivatives of the functions.
Apply the concept of derivatives to find critical values, applied maximum and minimum functions, and business and economic problems.
Begin basic integration theory and rules.

Careers Related to Content

Education, mathematics, engineering, science, business, architecture, statistics, industrial technology, advanced degrees in most areas

Calculus II (Concurrent Course)

Code: 5038 (RAI Approved)

Credit: ½ credit

Elective/Required: Elective 11-12

Prerequisite: Proficiency on Iowa Assessments; Successful completion of Calculus I or instructor’s approval. Grade of C- or better in Calculus I.

Course Description: Calculus II is the continued study of algebraic, trigonometric, and logarithmic functions; development of limits and their properties; development of integration formulas and rules for the algebraic, trigonometric, and logarithmic functions. Studies also include inverse functions, exponential and trigonometric functions: the development of area and volume of solids revolving around an axis; the refinement of all integration techniques, introduction to series and the various tests associated with series, and the conics and their applications.

Skills Needed to be Successful in the Class

Students must be skilled in differentiation and algebraic manipulation of functions.

Learning Goals: The student will be able to:

When studying the algebraic, trigonometric, and logarithmic functions: find the limit or limit at infinity of the functions and find the integrations of the functions.
Integrate exponential and the inverse trigonometric functions.
Choose the proper method of evaluating an integral: by parts, trigonometric substitution, partial fractions, and formulas.
Apply integration to find area, volume, work, or force.

Careers Related to Content

Education, mathematics, engineering, science, business, architecture, statistics, industrial technology, advanced degrees in most areas

Prep for College Math I

Code: 5079

Credit: ½ credit

Elective/Required: Elective 11-12 (may be used for 3rd year graduation requirement)

Prerequisite: completion of Algebra I and Geometry and counselor’s approval

Course Description: This course is intended to assist students who struggle in mathematics. Topics covered will be a review of broad topics in Algebra I and Geometry.

Skills Needed to be Successful in the Class:

Students must be competent in math basic skills: addition, subtraction, multiplication, and division of integers, fractions and decimals, and the use of the order of operations.

Intended outcome:

Achieve skills necessary to be successful in college level math (may be measured by Accuplacer assessment).

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Prep for College Math II

Code: 5080

Credit: ½ credit

Elective/Required: Elective 11-12 (may be used to fulfill 3rd year graduation requirement)

Prerequisite: Attempts to complete Algebra 2 or counselor’s approval

Course Description: This course is an extension of College Pre Math I. Topics covered will include broad topics from Geometry and Algebra 2.

Skills Needed to be Successful in the Class:

Students must be able to solve simple and complex equations.

Intended outcome:

Achieve skills necessary to be successful in college level math (may be measured by Accuplacer assessment)

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Geometry/ Honors Geometry

Code: 5075-5076 (RAI Approved)

Credit: 1 credit

Elective/Required: Elective 9-12

Prerequisite: Successful completion of Algebra 1 or parent meeting and teacher approval

Course Description: This is a one year course to develop and practice problem-solving skills using inductive and deductive reasoning. Students are guided through all the conceptual and working levels of the process using geometry. It uses two and three-dimensional geometric shapes (points, lines, planes, triangles, polygons, circles, and solids) and examines their properties, measurements, and mutual relations in space. Geometric proofs are used as a vehicle to systematically develop these problem solving skills by relating geometric shapes.

Skills Needed to be Successful in the Class

Students must be able to solve equations and have a basic understanding of algebra.

Learning Goals: The student will be able to:

Identify basic figures and angle relationships.
Use inductive and deductive reasoning. Apply proofs to business and mathematical situations.
Prove statements using parallel lines and triangles.
Identify and use parts of polygons and use facts in proofs.
Work with similar triangles.
Use coordinate geometry to solve algebraic problems.
Calculate area of various polygons.
Use circles, arcs and tangents to solve problems.
Work with 3-dimensional objects.
Use isometrics and trigonometry to solve problems.
Calculate probability of multiple and conditional events.
Use statistical methods to analyze data.

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer sciences, medical sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Geometry- Block

Code: 5073 (RAI Approved)

Credit: 1 credit (2 Period Block Course) Intended for students to take Algebra 2 Block second semester

Elective/Required: Elective 10-12

Prerequisite: Successful completion of Algebra 1 or parent meeting and teacher approval

Course Description: This course is taught during a 2 period block session. This course is taught to develop and practice problem-solving skills using inductive and deductive reasoning. Students are guided through all the conceptual and working levels of the process using geometry. It uses two and three-dimensional geometric shapes (points, lines, planes, triangles, polygons, circles, and solids) and examines their properties, measurements, and mutual relations in space. Geometric proofs are used as a vehicle to systematically develop these problem solving skills by relating geometric shapes.

Skills Needed to be Successful in the Class

Students must be able to solve equations and have a basic understanding of algebra.

Learning Goals: The student will be able to:

Identify basic figures and angle relationships.
Use inductive and deductive reasoning. Apply proofs to business and mathematical situations.
Prove statements using parallel lines and triangles.
Identify and use parts of polygons and use facts in proofs.
Work with similar triangles.
Use coordinate geometry to solve algebraic problems.
Calculate area of various polygons.
Use circles, arcs and tangents to solve problems.
Work with 3-dimensional objects.
Use isometrics and trigonometry to solve problems.
Calculate probability of multiple and conditional events.
Use statistical methods to analyze data.

Careers Related to Content

Math Center

Code: 5061/5062

Credit: 1 credit

Elective/Required: required for students in Algebra IA, optional for students in Algebra IB

Course Description: Math center is a course designed to help students to build number sense, expand basic skills and receive specialized math help for Algebra 1A. This course reinforces the concepts from Algebra 1A, including mathematical concepts for working with rational numbers, multiple types of expressions, analyzing and solving learn equations and inequalities, data analysis, probability, statistics, and polynomials.

Skills Needed to be Successful in the Class:

Students must come with a positive attitude. They must be willing to work hard and stay on task.

Learning Goals: The student will be able to:

Make progress in gap areas.
Continue to build their understanding of Algebra IA concepts.

Careers Related to Content

Education, mathematics, science, engineering, business, drafting, graphic design, seismologist, mechanic, machinist, technical fields, computer science, medical sciences, social sciences, forestry, insurance, agriculture, natural resources, health care, construction science, manufacturing, transportation, medicine, family and consumer service, statistics, actuary science

Math 9

Code: 8511-8512

Credit: 1 credit

Elective/Required: Required

Prerequisite: Counselor Approval

Course Description: This course reinforces fundamental math skills not mastered in previous math classes in the common core areas of Number and Operations, Geometry and Measurement, Algebra, and Data Analysis and Probability. The ultimate goal is for students to achieve an adequate level of performance where they can be successful in a math general education environment.

Skills Needed to be Successful in the Class

Students need to be willing to try to improve math skills.

Learning Goals: The student will be able to:

Expand basic math skills.
Make progress in math areas covered according to abilities.

Careers Related to Content

Cashier, store clerk, cabinet makers, construction, fire prevention, meter reader, taxi driver, chauffer, teaching assistant, nurses aid, cosmetologist, library assistant, waiter/waitress, business

Math 10

Code: 8513-8514

Credit: 1 credit

Elective/Required: Required

Prerequisite: Counselor Approval

Course Description:This course reinforces fundamental math skills not mastered in previous math classes in the common core areas of Number and Operations, Geometry and Measurement, Algebra, and Data Analysis and Probability. The ultimate goal is for students to achieve an adequate level of performance where they can be successful in a math general education environment.

Skills Needed to be Successful in the Class

Students need to be willing to try to improve math skills.

Learning Goals: The student will be able to:

Expand basic math skills.
Make progress in math areas covered according to abilities.

Careers Related to Content

Cashier, store clerk, cabinet makers, construction, fire prevention, meter reader, taxi driver, chauffer, teaching assistant, nurses aid, cosmetologist, library assistant, waiter/waitress, business

Math 11

Code: 8515-8516

Credit: 1 credit

Elective/Required: Required

Prerequisite: Counselor Approval

Skills Needed to be Successful in the Class

Students need to be willing to try to improve math skills.

Learning Goals: The student will be able to:

Expand basic math skills.
Make progress in math areas covered according to abilities.

Careers Related to Content

Cashier, store clerk, cabinet makers, construction, fire prevention, meter reader, taxi driver, chauffer, teaching assistant, nurses aid, cosmetologist, library assistant, waiter/waitress, business

Math 12

Code: 8517-8518

Credit: 1 credit

Elective/Required: Required

Prerequisite: Counselor Approval

Course Description This course reinforces fundamental math skills not mastered in previous math classes in the common core areas of Number and Operations, Geometry and Measurement, Algebra, and Data Analysis and Probability. The ultimate goal is for students to achieve an adequate level of performance where they can be successful in a math general education environment.

Skills Needed to be Successful in the Class

Students need to be willing to try to improve math skills.

Learning Goals: The student will be able to:

Expand basic math skills.
Make progress in math areas covered according to abilities.

Careers Related to Content

Cashier, store clerk, cabinet makers, construction, fire prevention, meter reader, taxi driver, chauffer, teaching assistant, nurses aid, cosmetologist, library assistant, waiter/waitress, business

Math 13

Code: 8519-8520

Credit: 1 credit

Elective/Required: Required

Prerequisite: Counselor Approval

Skills Needed to be Successful in the Class

Students need to be willing to try to improve math skills.

Learning Goals: The student will be able to:

Expand basic math skills.
Make progress in math areas covered according to abilities.

Careers Related to Content

Cashier, store clerk, cabinet makers, construction, fire prevention, meter reader, taxi driver, chauffer, teaching assistant, nurses aid, cosmetologist, library assistant, waiter/waitress, business

Math 14

Code: 8537-8538

Credit: 1 credit

Elective/Required: Required

Prerequisite: Counselor Approval

Skills Needed to be Successful in the Class

Students need to be willing to improve math skills.

Learning Goals: The student will be able to:

Expand basic math skills.
Make progress in math areas covered according to abilities.

Careers Related to Content

Cashier, store clerk, cabinet makers, construction, fire prevention, meter reader, taxi driver, chauffer, teaching assistant, nurses aid, cosmetologist, library assistant, waiter/waitress, business

Technical Mathematics

Code: 5100-5101

Credit: 1 credit

Elective/Required: Elective 11-12

Prerequisite: Successful completion of Algebra 1, or Algebra 1A and Algebra 1B

Course Description: Technical Mathematics extends students’ proficiency in mathematics and applies these skills to technical and/or industrial situations and problems. Technical Mathematics topics include rational numbers; systems of measurements; and topics from algebra, geometry, trigonometry, and statistics. Technology is integrated as appropriate. Both the content standards and the standards in mathematical practices will be assessed.

* This course is designed to provide a strong foundation for middle-skill jobs, which require some amount of education and training beyond high school, but less than a Bachelor’s Degree.

* This course may not count for Regents Admissions Index (RAI) consideration.

Skills needed to be Successful in the Class

Students must be competent in math basic skills: addition, subtraction, multiplication, and division of integers, fractions and decimals, and the use of the order of operations.

Learning Goals: The student will be able to:

Apply knowledge of basic math concepts to real world scenarios.
Work with precise measurements.
Solve equations with decimals, fractions, ratios, proportions, percents, and exponents.
Graph linear functions.
Calculate the measures of central tendency, and use distributions to find probability.
Sketch, read, and interpret different types of graphs.
Calculate surface area and volume of three-dimensional shapes.
Use right triangle trigonometry to calculate length and angle measures.

Careers Related to Content:

Carpentry, electrician, construction, dental hygienist, registered nurse, head cook, technicians in multiple industries, paralegal, police officer

Precalculus (Concurrent Course)

Code: 5034 (RAI Approved)

Credit: ½ credit

Elective/Required: Elective 11-12

Prerequisite: Proficiency on Iowa Assessments; Precalculus-Advanced Algebra and Compass score of at least 51 or PLAN test score of at least 19 or ACT score of 25

Course Description: Precalculus is a course in which emphasis is placed on trigonometry, advanced algebra, analytic geometry, functions and combinations of these topics. In Pre-calculus, the student will spend time studying functions, theory of equations, nature of graphs, trigonometric functions, trigonometric identities and equations, graphs and inverses of the trigonometric functions, application of trigonometry.

Skills Needed to be Successful in the Class

Students must be able to solve equations, linear functions, systems of equations, and quadratic equations, as well as graph functions, understand conic sections, work with exponents and exponential functions.

Learning Goals: The student will be able to:

Solve polynomial, rational, trigonometric, and exponential equations.
Graph linear, polynomial, circular, trigonometric, polar, exponential, and logarithmic functions.
Solve triangles and applications using triangles.
Perform mathematical operations on polynomials, vectors, and trigonometric expressions.
Write equations of lines, circles, parabolas, ellipses, and hyperbolas.

Careers Related to Content

Education, accounting, engineering, architecture, medicine, technology, computer, marketing, actuary science, business, financial analyst, insurance, management

High School Precalculus

Code: 5039-5040 (RAI Approved)

Credit: 1 credit

Elective/Required: Elective 11-12

Prerequisite: Successful completion of Algebra 2

Course Description: Precalculus is a course in which emphasis is place on trigonometry, advanced algebra, analytic geometry, functions and combinations of these topics. In High School Precalculus, the student will spend time studying functions, theory of equations, nature of graphs, trigonometric functions, trigonometric identities and equations, graphs and inverses of the trigonometric functions, application of trigonometry.

Skills Needed to be Successful in the Class

Learning Goals: The student will be able to:

Solve polynomial, rational, trigonometric, and exponential equations.
Graph linear, polynomial, circular, trigonometric, polar, exponential, and logarithmic functions.
Solve triangles and applications using triangles.
Perform mathematical operations on polynomials, vectors, and trigonometric expressions.
Write equations of lines, circles, parabolas, ellipses, and hyperbolas.

Careers Related to Content

Education, accounting, engineering, architecture, medicine, technology, computer marketing, actuary science, business, financial analyst, insurance, management

Statistics & Probability

Code: 5057 (RAI Approved)

Credit: ½ credit

Elective/Required: Elective 11-12, may be used to meet graduation requirements

Prerequisite: Successful completion of Geometry

Course Description: Students will work with data collection, descriptive statistics, and technological tools to analyze statistics. The main foci of the course will be exploring and understanding data, exploring relationships between variables, and gathering data. Students will work with statistical measures of central tendency and spread, create and compare displays of data, and analyze normal distributions, linear regression and types of samples and studies. Students will use multiple representations to present data including written descriptions, numerical statistics, formulas, and graphs.

Skills Needed to be Successful in the Class:

Students must be able to solve equations, work with linear functions, and work with data.

Learning Goals: The student will be able to:

Understand the data analysis process and the characteristics of well-designed statistical studies.
Demonstrate the use of distributional thinking to reason about and summarize distributions of data, identify trends, and judge the fit of a model.
Demonstrate an ability to use appropriate statistical evidence.

Careers Related to Content

Business, education, engineering, actuary science, marketing, medicine, financial analyst, insurance, social and physical sciences

Intro to Statistics (Concurrent)

Code: 5090

Credit: 1/2 credit

Elective/Required: elective 11/12

Prerequisite: Successful completion Algebra II

Course Description: Descriptive statistics, probability and probability distributions, confidence intervals, hypothesis testing, correlation and bivariate regression, analysis of variance. Applications involving the use of microcomputer software are an integral part of the course.

Skills Needed to be Successful in the Class:

Students must be able to solve equations, work with linear functions, and work with data.

Learning Goals: The students will be able to:

Explain basic concepts of statistics such as the mean, mode, variance, standard deviation, types of sampling, etc.
Calculate basic statistical values.
Understand random sampling.
Describe a normal distribution and binomial distribution.
Collect, critically analyze, and present the results of a statistical survey.
Calculate confidence intervals and test a hypothesis.
Calculate the different sum of squares values and understand their use in performing linear regression analysis and an analysis of variance.

Careers Related to Content

Business, education, engineering, actuary science, marketing, medicine, financial analyst, insurance, social and physical sciences

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