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# Mathematics

#### Department Description

Students must successfully complete one level of a sequence before moving to the next level

Students are placed in their next math course by teacher recommendation based on student aptitude.

##### Algebra I

2 – CRHS/TFHS – 9/10/11/12
M – NCAA

Algebra I focuses on expressions, equations, functions, and rational numbers. Solving, graphing, and analyzing linear equations and inequalities, operations with polynomials, factoring, quadratic equations, radical expressions, and the quadratic formula are studied. Fundamental statistics with a linear focus is also included.

##### Integrated Math I

2 – CRHS/TFHS – 9/10/11/12
M
Algebra I

Students will deepen and extend understanding of linear relationships by applying linear models to data that exhibit trends and use properties and theorems involving congruent figures to extend geometric knowledge. Students will integrate algebraic and geometric concepts studies.

##### Informal Geometry

2 – CRHS/TFHS – 10/11/12
M
Algebra I & Recommendation

This course is designed for the student who passed both semesters of Algebra I but found Algebra I challenging. The emphasis will be on understanding basic geometric concepts without the use of formal proofs. Algebra I skills are reinforced and applied to geometric situations. The sequential course for Informal Geometry will be Algebra Topics.

##### Geometry

2 – CRHS/TFHS – 9/10/11/12
M – NCAA
C or higher in Algebra I & Recommendation

Geometry is the application of algebraic concepts in terms of geometric figures. Material includes extensive study of the triangle, parallel lines, formal proofs, the Pythagorean Theorem, quadrilaterals and other polygons, circles, two and three dimensional relationships, introduction to trigonometry, proportions, area, volume, and applications of mathematical formulas.

##### Integrated Math II

2 – CRHS/TFHS – 10/11/12
M
(Will be offered starting the 2021-22 school year)
Integrated Math I or Algebra and Geometry

Students will study similarity to understand right triangle trigonometry and connections to quadratics through Pythagorean relationships, and explore circles with their quadratic algebraic representations. Students will study quadratic expressions, equations and functions, comparing their characteristics to linear and exponential relationships, explore the use of real and complex numbers to solve quadratic equations, and the link between probability and data. Students will integrate algebraic and geometric concepts studied.

##### Algebra Topics

2 – CRHS/TFHS – 10/11/12

M

(Will no longer be offered after the 2020-21 school year)

Informal Geometry or Geometry & Recommendation

The purpose of this course is to reinforce Algebra skills and to better prepare students to be successful in Algebra II. Upon successful completion of this course, a student may elect to register for Algebra II.

##### Algebra II

2 – CRHS/TFHS – 9/10/11/12
M – NCAA
C or higher in Geometry or Integrated Math II & Recommendation

This advanced mathematics course deals with algebraic expressions, functions and their graphs, inequalities, linear and quadratic equations and functions, polynomials and factoring, exponents, basic trigonometry, logarithms, theory of polynomial equations, real and complex numbers, and elementary statistics and probability.

##### College Algebra

2 – CRHS/TFHS – 11/12
M – DC (CSI: MATH 143) – NCAA
Algebra II & Recommendation

This course includes fundamental concepts of Algebra; equations and inequalities; functions and graphs; polynomial, rational, exponential and logarithmic functions; systems of equations and inequalities; conics; the Binomial Theorem.

##### Trigonometry

1 – CRHS – 11/12
M – DC (CSI MATH 144)
College Algebra & Recommendation

This course covers right triangle and circular function approaches to trigonometry, graphs of trig functions, trig identities, conditional equations, right and non-right triangle applications of trigonometry, inverse trig functions, trigonometry of complex numbers including DeMoivre’s Theorem, polar coordinates and equations, parametric equations.

##### Precalculus

2 – CRHS/TFHS – 10/11/12
M – DC (CSI: MATH 147) – NCAA
C or higher in Algebra II & Recommendation

This course covers the study of functions (linear, polynomial, rational, exponential, logarithmic), conic sections and sequences/series. Right triangle and circular approaches to trigonometry are studied in depth. This course is required for students intending to take Calculus. This course is equivalent to taking both College Algebra (Math 143) and Trigonometry (Math 144).

##### AP Calculus I

2 – TFHS – 11/12
M – DC (CSI: MATH 170) – NCAA
C or higher in Precalculus

The first course in the calculus sequence . It covers algebraic and transcendental functions; rate of change; limits; continuity; differentiation of algebraic, trigonometric, exponential, logarithmic and hyperbolic functions; differentials, applications of differentiation, definite and indefinite integrals, area between curves, volumes and other applications of integration. Alternatively, students may opt to take the AP exam for Calculus to earn possible college credits (based on score).

##### Calculus I

2 – CRHS – 11/12
M – DC (CSI: MATH 170) – NCAA
C or higher in Precalculus

The first course in the calculus sequence. It covers algebraic and transcendental functions; rate of change; limits; continuity; differentiation of algebraic, trigonometric, exponential, logarithmic and hyperbolic functions; differentials, applications of differentiation, definite and indefinite integrals, area between curves, volumes and other applications of integration.

##### Brief Calculus

1 – CRHS/TFHS – 12
M – NCAA
Precalculus previous year & Recommendation

A review of functions and their graphs, rates of change, a thorough study of limits, continuity, maxima and minima of functions, and differentiation rules and applications will be studied in this course which is intended for the student who would like an introduction to both Calculus I and Statistics. One (1) math credit can be earned from this semester course.

##### Statistics and Probability

1 – CRHS/TFHS – 12
M – CRHS only DC (CSI: Math 153) – NCAA
College Algebra or Pre-Calculus & Recommendation

This advanced course deals with collecting, organizing, analyzing and interpreting numerical information. Students will use and apply statistical methods that are relevant to today’s world in business, science, medicine and everyday life. An intensive study of probability is included.

##### Math in the Modern World

2 – CRHS – 12
M
Completion of Algebra I & Geometry pathway or Integrated Math I & Integrated Math II pathway

This course requires students to use critical thinking to solve real world problems by experiencing firsthand the mathematics used in adult life. Students will increase their foundation of math skills by covering a variety of topics, such as, checking, saving, types of credit, managing credit, paying for college, budgeting, investing, financial pitfalls, career, taxes, insurance, and other financial issues if time permits.

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