Math

Math Department

BEGINNING ALGEBRA   

No. 1200 & 1201 | Course Credit: 2 | Grade Level: 9

This class is for the student who needs to develop the skills necessary to move on to Intermediate Algebra.

This course is designed to promote student’s growth in number sense and enable them to master basic algebraic concepts.  Students will review integer and fraction operations, order of operations, simplifying expressions, and proportions.  They will also learn algebraic concepts such as solving equations and inequalities, solving and graphing compound inequalities, absolute value equations, linear graphs and relationships and functions.  After successfully completing this course, students will have the algebraic exposure and skills necessary for completing Intermediate Algebra.  

Careers related to this course:

• Mechanic, Carpenter, Salesman, Secretary, Teller/Cashier, Agriculture

INTERMEDIATE ALGEBRA A

No. 1202 & 1203 | Course Credit: 2 | Grade Level: 9 - 10

This course is designed to provide the foundation of Algebra for students to be ready for

Higher Algebra A. Students in Intermediate Algebra A will move at a faster pace than

students in Intermediate Algebra B. They will learn and master new algebraic concepts

while having exposure to topics that will be covered in more depth in Higher Algebra. Some

of the topics covered include functions, exponents, solving and graphing quadratic and

exponential functions, polynomials, linear vs nonlinear functions, and sequences. Students

will learn algebraic concepts from multiple representations, such as tables, graphs,

equations, and word problems.

Careers related to this course:

• Accounting, Biology, Business, Entrepreneurship, Finance, Construction Management, Radiologic Technology

INTERMEDIATE ALGEBRA B

(Prerequisite: No. 1201)

No. 1210 & 1211 | Course Credit: 2 | Grade Level: 9 - 10

This course is designed to reinforce algebraic topics and standards students were exposed

to in previous math classes as well as learn new concepts as in Intermediate Algebra A.

Students will follow the model of Intermediate Algebra A, but at a slower pace. Students will

learn algebraic concepts using multiple representations such as tables, graphs, equations,

and word problems. Some of these topics include functions, exponents and exponential

functions, quadratics, polynomials, linear vs nonlinear functions, and sequences.

Careers related to this course:

• Accounting, Biology, Business, Entrepreneurship, Finance, Construction Management, Radiologic Tech

GEOMETRY A  

No.  1224 & 1225 | Course Credit: 2 | Grade Level: 9 - 12              

In Geometry, you will develop reasoning and problem solving skills as you study topics such as congruence and similarity, and apply properties of lines, triangles, quadrilaterals, and circles.  You will also develop problem solving skills by using length, perimeter, area, surface area, and volume to solve real-world problems.  In addition, there will be numerous examples and problems involving algebra. 

Careers related to this course:

• Construction Worker, Plumber, Animator, Fashion Designer, Surveyor

GEOMETRY B

(Prerequisite: No. 1211)

No. 1204 & 1205 | Course Credit: 2 | Grade Level: 10-11

Students must have successfully completed Intermediate Algebra B before taking this class.  Concepts covered include logic and reasoning, similarity and congruence, polygons, circles, ratio and proportion, trigonometry, coordinate geometry, and three-dimensional geometry.

Careers related to this course:

• Construction Worker, Plumber, Fashion Designer, Surveyor, Animator

HIGHER ALGEBRA A  

(Prerequisite: No. 1224 and No. 1225) 

No.  1226 & 1227 | Course Credit: 2 | Grade Level:  10 - 12

This course is a continuation of the material covered in algebra and geometry.  The content of Higher Algebra is organized around families of functions, with special emphasis on linear, quadratic, exponential, logarithmic, radical, rational, and trigonometric functions.  As you study each family of functions, you will learn to represent them in multiple ways - as verbal descriptions, equations, tables, and graphs.  You will also learn to model real-world situations using functions in order to solve problems arising from those situations.  Students planning to attend college should consider this course.  Mathematics, science, engineering, and business are a few of the professions for which this course would be very helpful.

Careers related to this course:

• Engineering, Actuary, Financial Advisor, Computer, Scientist, Accountant, Business Management

HIGHER ALGEBRA B     

(Prerequisite:  No. 1204 and No. 1205)

No:  1212 - 1213| Course Credit:  2 | Grade Level:  11-12

This course is a Minnesota State Standards-based Higher Algebra course.  This course will emphasize real world usable skills in design, finance, and life topics.  Math topics will include fraction and decimal operations, linear and higher order functions, exponential equations, and Trigonometry.  This course allows for time to discuss and explore math topics of interest to the students and allows for growth in areas that fit the students needs.  This course is mandatory for any senior who has not completed the state requirement for Higher Algebra.

Careers related to this course:

• Engineering, Actuary, Financial Advisor, Computer, Scientist, Accountant, Business Management

STATISTICS/PROBABILITY A

No. 1231a | Course Credit: .5 | Grade Level 10

This course is designed to analyze and display data sets and probabilities in real life situations.  Students will explore ways to gather, display, and summarize data.  Key concepts include distributions, box and whisker plots, standard deviation, scatter plots, association, correlation, randomness, surveys, probability, simulations, and models.  Students will also interpret scatterplots and lines of best fit to generate meaningful predictions and conclusions.  They will use concepts such as unions, complements and conditional and experimental probability to calculate the likelihood of an event occurring.

Careers related to this course:

• Actuary, Health Care, Financial Analyst, Environmental Scientist, Market Research Analyst, Accountant

STATISTICS/PROBABILITY B

No. 1231b | Course Credit: .5 | Grade Level 11

This course is designed to analyze and display data sets and probabilities in real life situations.  Students will explore ways to gather, display, and summarize data.  Key concepts include distributions, box and whisker plots, standard deviation, scatter plots, association, correlation, randomness, surveys, probability, simulations, and models.  Students will also interpret scatterplots and lines of best fit to generate meaningful predictions and conclusions.  They will use concepts such as unions, complements and conditional and experimental probability to calculate the likelihood of an event occurring.

Careers related to this course:

• Actuary, Health Care, Financial Analyst, Environmental Scientist, Market Research Analyst, Accountant

COLLEGE PRE-CALCULUS      

(Prerequisite: No. 1226 or 1227)

No. 3230 & 3231 | Course Credit: 2 (8 college credits)  | Grade Level: 11 - 12  

This course is highly recommended if you are attending college or a vocational school in a high tech field.  Pre-Calculus provides a review and solidification of Algebra.  Special emphasis is given to graphing with a graphing calculator.  The continuation of this course will cover trigonometry.  It will study radians, the unit circle, trig. functions, and their inverses and trig. identities.  Other topics covered are matrices, sequences, series, and probability.

Careers related to this course:

• Engineering (Civil, Mechanical, Chemical, Software, Aerospace, environmental), Meteorology, Economist, Physics, Architecture, Astronomy, Computer Science

COLLEGE CALCULUS

(Prerequisite: No. 3230 and No. 3231)

No. 3232 & 3233 | Course Credit: 2 (5 college credits) | Grade Level: 12

Must have earned college credit in pre-calc to be eligible to earn college credit in calculus.

This very rigorous college level course incorporates all previously mastered mathematics topics.  The course and its pacing are established in coordination with the CIHS program.  Every concept covered will build upon the previous one; it is very important not to get behind.  Students begin with a quick review of Algebra (function notation and binomial expansion), Geometry (formulas), and Trigonometry (unit circle and trigonometric identities).  Students will work with the Cartesian plane to develop the concept of limits and their properties.  This study leads directly to the concept of differentiation, related to equations of tangent lines to curves, velocity, acceleration, and other rates of change.  Utilizing the Fundamental Theorem of Calculus, the student will study indefinite and definite integrals and their applications.  Areas of study will include logarithmic functions, exponential functions, trigonometric functions, techniques of integration, methods of finding volumes of rotation, and surface area.  Shell and disk methods of integration provide students an opportunity to visualize three-dimensional mathematics.  A major goal for the course is to empower each student to leave with a broad base of interest and knowledge to succeed in future mathematics study at the college level.  A student may also earn college credit, provided that he/she meets these requirements.

Careers related to this course:

• Engineering (Civil, Mechanical, Chemical, Software, Aerospace, environmental), Meteorology, Economist, Physics, Architecture, Astronomy

COLLEGE STATISTICS 

Prerequisite: 1212, 1213, 1231

No. 3234 & 3235 Course Credit: 2 (4 College Credits)  / Grade Level: 11-12

This course uses technology to make inferences about data sets through a variety of methods. This is a very rigorous course that depends heavily on being organized and using a graphing calculator efficiently. We cover descriptive statistics, sampling, probability, probability distributions, normal probability distributions, estimates and sample sizes, hypothesis testing, correlation and regression, inferences of two samples, and process control. A TI-84 calculator is required (Talk to your teacher about extenuating circumstances). A student may also earn college credit, provided that he/she meets these requirements. 

Careers related to this course:

• Actuary, Health Care, Financial Analyst, Environmental Scientist, Market Research Analyst, Accountant