CHS Math Department Course Offerings
Math Recommended Sequence of CoursesCommunity College, Tech School and/or Work Track
Algebra I Geometry Algebra II Composite Math College Prep - 4 Year Degree Track Algebra I Geometry Algebra II Composite Math Trigonometry AP Statistics Pre-Calculus College Preparatory Advanced Placement Option 4 Year Degree in Math or Science Track Algebra I Geometry Algebra II Trigonometry AP Statistics Pre-Calculus AP Calculus ***Four years of math is HIGHLY recommended by the Math and Counseling Department. “Doubling-up” on math courses will allow students to progress farther in their math curriculum (not finish early)! |
 
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Math Department Course Descriptions
Algebra I
Course Number: 20201 (Semester)
Credit 1.0
Prerequisite: Ability
Grade Level: 9, 10, 11
Max. Size: 16 students
The study of functions and equations is introduced. In addition, functions will be used as models for many real-world applications. Basic geometry concepts are connected to topics in probability and statistics and discrete mathematics. Students will be expected to study math history. There will be a focus on developing student abilities to reason numerically; to communicate by reading, writing, speaking, and listening to others; to model real-world problems mathematically; and to solve problems both individually and by working in groups. Students will use a graphing calculator extensively in solving problems and exploring functions. The calculator that is currently used is the TI-83 and TI-84 from Texas Instruments. A limited supply of these calculators is available for checkout. This class is considered the basic skills class for high school mathematics.
Geometry
Course Number: 20601 (Semester)
Credit 1.0
Prerequisite: Algebra I
Grade Level: 9, 10, 11, 12
Max. Size: 16-18 students
Constructions using compasses will be covered as well as work with protractors, proofs, and formulas. Skill is developed in using formal logic and proof techniques. Project work will be a part of the class structure, as well as group work.
Algebra II
Course Number: 20501 (Semester)
Credit 1.0
Prerequisite: Algebra I
Grade Level: 10, 11, 12
Max. Size: 16-18 students
The study of functions and equations is introduced. In addition, functions will be used as models for many real-world applications. Basic geometry concepts are connected to topics in probability and statistics and discrete mathematics. Students will be expected to study math history. There will be a focus on developing student abilities to reason numerically; to communicate by reading, writing, speaking, and listening to others; to model real-world problems mathematically; and to solve problems both individually and by working in groups. Students will use a graphing calculator extensively in solving problems and exploring functions. The calculator that is currently used is the TI-83 and TI-84 from Texas Instruments. A limited supply of these calculators is available for checkout. This class is considered the basic skills class for high school mathematics.
Composite Math
Course Number: 20610 (Semester)
Credit: 1.0
Prerequisite: Algebra II
Grade Level: 11, 12
This course is for juniors and seniors who plan on attending college and who have completed Algebra, Geometry, and Algebra II. Topics include number theory, application of functions, logic involving a preview of trigonometry, statistics and combinations and probability. Calculators such as TI-83 and TI-84 will be needed to solve the various problems covered. The knowledge of mathematics strengthens the way we know, perceive and understand our surroundings. Problems will be done both individually and in groups.
Trigonometry/Algebra III
Course Number: 20701 (Semester)
Credit 1.0
Prerequisite: Algebra I, II, Geometry
Grade Level: 11, 12
Max. Size: 15-16 students
The following topics will be covered: Solving Equations, Roots & Powers, Polynomial Functions, Exponential & Logarithmic Functions, Laws of Sines & Cosines, Trigonometric Identities & Functions, Complex Numbers and Vectors. Applications to the real world will be introduced as frequently as possible. Students will use a graphing calculator extensively in solving problems and exploring functions.
Advanced Placement (AP) Statistics
Course Number:
Credit: 1.0
Prerequisite: Trigonometry, plus criteria listed below
Grade Level: 11, 12
This course is only offered during the spring semester.
Must meet a criteria of three of the four: ACT Score of 25 or higher in Mathematics, 90th percentile on a norm-referenced test; top 20% of class and teacher recommendation. Parent and Student signatures on statement of understanding is requested.
The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:
- Exploring Data: Describing patterns and departures from patterns
- Sampling and Experimentation: Planning and conducting a study
- Anticipating Patterns: Exploring random phenomena using probability and simulation
- Statistical Inference: Estimating population parameters and testing hypotheses
Several sources are used to explore these four topics, but we’ll rely most heavily on Stats – Modeling the World by Bock, Velleman and De Veaux, 2007.
Students who take the AP Statistics course are strongly encouraged to take the examination (which involves registration and a fee). Students who successfully complete the course and examination may receive credit, advanced placement, or both for a one-semester introductory college statistics course. As always, it is the student’s responsibility to check on specific AP requirements and transferability at the institutions they are considering. A good starting spot is www.collegeboard/apcreditpolicy.
This course is also available for dual credit through Chadron State College (MATH 232/Applied Statistics). Please see the Guidance Counselor if you would like dual credit for this class. Again, it is the student’s responsibility to check on transferability at the institutions they are considering.
Pre-Calculus
Course Number: 21000 (Semester)
Credit 1.0
Prerequisite: Trigonometry/Algebra III
Grade Level: 12
Pre-calculus is a prerequisite for college calculus and AP Calculus. Students will use a graphing calculator extensively in solving problems and exploring functions. The content of this course will include reviewing the study of trigonometry, the use of matrices; the theory and use of polynomial, rational, exponential, and logarithmic functions; and some probability and statistics. Applications to the real world will be introduced as frequently as possible. Pre-Calculus is considered the basic skills class for most college mathematics courses (from technical school, to 2-year programs, to 4-year and university programs).
This course is also available for dual credit through Chadron State College (MATH 142/College Algebra/4 credits). Please see the Guidance Counselor if you would like dual credit for this class. Again, it is the student’s responsibility to check on transferability at the institutions they are considering.
AP Calculus
Course Number: 21002 (Semester)
Credit 1.0
Prerequisite: Pre-Calculus, plus criteria listed below
Grade Level: 12
This course is only offered during the spring semester.
Must meet a criteria of three of the four: ACT Score of 25 or higher in Mathematics, a class ranking of 20 or higher, Scores of 24/21/18 on UNL Placement Test; and Plan Test Score 90% or higher in mathematics. Parent and Student signatures on statement of understanding is requested.
This is a very challenging Advanced Placement mathematics course. It is designed for those students who will need calculus in college/university and who have achieved at a very high level in previous math classes. The class would be useful for students who hope to pursue careers in medicine, engineering, mathematics, science, and business. A major goal of the course is to prepare students to take the Advanced Placement Calculus AB test, which is administered, nationwide in May. Students will use a graphing calculator extensively in solving problems and exploring functions. The calculator that is currently used is the TI-83 Plus and TI-84 from Texas Instruments. A limited supply of these calculators is available for check out.
Students who take the AP Calculus course are strongly encouraged to take the examination (which involves registration and a fee). Students who successfully complete the course and examination may receive credit, advanced placement, or both for a one-semester introductory college Calculus course. As always, it is the student’s responsibility to check on specific AP requirements and transferability at the institutions they are considering. A good starting spot is www.collegeboard/apcreditpolicy
This course is also available for dual credit through Chadron State College (MATH 151/Calculus I/5 credits). Please see the Guidance Counselor if you would like dual credit for this class. Again, it is the student’s responsibility to check on transferability at the institutions they are considering.
Course Number: 20201 (Semester)
Credit 1.0
Prerequisite: Ability
Grade Level: 9, 10, 11
Max. Size: 16 students
The study of functions and equations is introduced. In addition, functions will be used as models for many real-world applications. Basic geometry concepts are connected to topics in probability and statistics and discrete mathematics. Students will be expected to study math history. There will be a focus on developing student abilities to reason numerically; to communicate by reading, writing, speaking, and listening to others; to model real-world problems mathematically; and to solve problems both individually and by working in groups. Students will use a graphing calculator extensively in solving problems and exploring functions. The calculator that is currently used is the TI-83 and TI-84 from Texas Instruments. A limited supply of these calculators is available for checkout. This class is considered the basic skills class for high school mathematics.
Geometry
Course Number: 20601 (Semester)
Credit 1.0
Prerequisite: Algebra I
Grade Level: 9, 10, 11, 12
Max. Size: 16-18 students
Constructions using compasses will be covered as well as work with protractors, proofs, and formulas. Skill is developed in using formal logic and proof techniques. Project work will be a part of the class structure, as well as group work.
Algebra II
Course Number: 20501 (Semester)
Credit 1.0
Prerequisite: Algebra I
Grade Level: 10, 11, 12
Max. Size: 16-18 students
The study of functions and equations is introduced. In addition, functions will be used as models for many real-world applications. Basic geometry concepts are connected to topics in probability and statistics and discrete mathematics. Students will be expected to study math history. There will be a focus on developing student abilities to reason numerically; to communicate by reading, writing, speaking, and listening to others; to model real-world problems mathematically; and to solve problems both individually and by working in groups. Students will use a graphing calculator extensively in solving problems and exploring functions. The calculator that is currently used is the TI-83 and TI-84 from Texas Instruments. A limited supply of these calculators is available for checkout. This class is considered the basic skills class for high school mathematics.
Composite Math
Course Number: 20610 (Semester)
Credit: 1.0
Prerequisite: Algebra II
Grade Level: 11, 12
This course is for juniors and seniors who plan on attending college and who have completed Algebra, Geometry, and Algebra II. Topics include number theory, application of functions, logic involving a preview of trigonometry, statistics and combinations and probability. Calculators such as TI-83 and TI-84 will be needed to solve the various problems covered. The knowledge of mathematics strengthens the way we know, perceive and understand our surroundings. Problems will be done both individually and in groups.
Trigonometry/Algebra III
Course Number: 20701 (Semester)
Credit 1.0
Prerequisite: Algebra I, II, Geometry
Grade Level: 11, 12
Max. Size: 15-16 students
The following topics will be covered: Solving Equations, Roots & Powers, Polynomial Functions, Exponential & Logarithmic Functions, Laws of Sines & Cosines, Trigonometric Identities & Functions, Complex Numbers and Vectors. Applications to the real world will be introduced as frequently as possible. Students will use a graphing calculator extensively in solving problems and exploring functions.
Advanced Placement (AP) Statistics
Course Number:
Credit: 1.0
Prerequisite: Trigonometry, plus criteria listed below
Grade Level: 11, 12
This course is only offered during the spring semester.
Must meet a criteria of three of the four: ACT Score of 25 or higher in Mathematics, 90th percentile on a norm-referenced test; top 20% of class and teacher recommendation. Parent and Student signatures on statement of understanding is requested.
The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:
- Exploring Data: Describing patterns and departures from patterns
- Sampling and Experimentation: Planning and conducting a study
- Anticipating Patterns: Exploring random phenomena using probability and simulation
- Statistical Inference: Estimating population parameters and testing hypotheses
Several sources are used to explore these four topics, but we’ll rely most heavily on Stats – Modeling the World by Bock, Velleman and De Veaux, 2007.
Students who take the AP Statistics course are strongly encouraged to take the examination (which involves registration and a fee). Students who successfully complete the course and examination may receive credit, advanced placement, or both for a one-semester introductory college statistics course. As always, it is the student’s responsibility to check on specific AP requirements and transferability at the institutions they are considering. A good starting spot is www.collegeboard/apcreditpolicy.
This course is also available for dual credit through Chadron State College (MATH 232/Applied Statistics). Please see the Guidance Counselor if you would like dual credit for this class. Again, it is the student’s responsibility to check on transferability at the institutions they are considering.
Pre-Calculus
Course Number: 21000 (Semester)
Credit 1.0
Prerequisite: Trigonometry/Algebra III
Grade Level: 12
Pre-calculus is a prerequisite for college calculus and AP Calculus. Students will use a graphing calculator extensively in solving problems and exploring functions. The content of this course will include reviewing the study of trigonometry, the use of matrices; the theory and use of polynomial, rational, exponential, and logarithmic functions; and some probability and statistics. Applications to the real world will be introduced as frequently as possible. Pre-Calculus is considered the basic skills class for most college mathematics courses (from technical school, to 2-year programs, to 4-year and university programs).
This course is also available for dual credit through Chadron State College (MATH 142/College Algebra/4 credits). Please see the Guidance Counselor if you would like dual credit for this class. Again, it is the student’s responsibility to check on transferability at the institutions they are considering.
AP Calculus
Course Number: 21002 (Semester)
Credit 1.0
Prerequisite: Pre-Calculus, plus criteria listed below
Grade Level: 12
This course is only offered during the spring semester.
Must meet a criteria of three of the four: ACT Score of 25 or higher in Mathematics, a class ranking of 20 or higher, Scores of 24/21/18 on UNL Placement Test; and Plan Test Score 90% or higher in mathematics. Parent and Student signatures on statement of understanding is requested.
This is a very challenging Advanced Placement mathematics course. It is designed for those students who will need calculus in college/university and who have achieved at a very high level in previous math classes. The class would be useful for students who hope to pursue careers in medicine, engineering, mathematics, science, and business. A major goal of the course is to prepare students to take the Advanced Placement Calculus AB test, which is administered, nationwide in May. Students will use a graphing calculator extensively in solving problems and exploring functions. The calculator that is currently used is the TI-83 Plus and TI-84 from Texas Instruments. A limited supply of these calculators is available for check out.
Students who take the AP Calculus course are strongly encouraged to take the examination (which involves registration and a fee). Students who successfully complete the course and examination may receive credit, advanced placement, or both for a one-semester introductory college Calculus course. As always, it is the student’s responsibility to check on specific AP requirements and transferability at the institutions they are considering. A good starting spot is www.collegeboard/apcreditpolicy
This course is also available for dual credit through Chadron State College (MATH 151/Calculus I/5 credits). Please see the Guidance Counselor if you would like dual credit for this class. Again, it is the student’s responsibility to check on transferability at the institutions they are considering.