Mathematics
Mathematics Department
Mathematics
GHS Student at a desk
We provide an opportunity for all students to participate in an innovative mathematics curriculum which fosters an understanding of mathematics, develops thinking skills for practical applications, and while nurturing an interest in the field of mathematics, prepares students for a rapidly changing technological society. 

Student Resources

  • Teacher website: www.schultzjen.weebly.com (contains Algebra thru Calculus on there, but Geometry is most up-to-date)
  • Regents Prep: http://www.regentsprep.org/
  • Land of Math: http://landofmath.com/
  • Math Open Reference: http://www.mathopenref.com/ (for Geometry)
  • Virtual Nerd: http://www.virtualnerd.com/ - contains video lessons
  • Khan Academy: https://www.khanacademy.org/
  • Cool Math.com: http://www.coolmath.com/
  • Math is Fun! http://www.mathisfun.com/
  • Purple Math: http://www.purplemath.com/ (primarily for the Algebras; also contains Trig)
  • WyzAnt: http://www.wyzant.com/resources/lessons/math
  • InterAct Math: http://interactmath.com/
  • MathBits: http://mathbits.com/MathBits/TISection/Openpage.htm (graphing calculator website)
  • Hotmath.com: http://hotmath.com/help/gt/miniprecalcgt/index.html (for pre-calculus)
  • Calculus-Help: http://www.calculus-help.com/tutorials/ (Limits through derivatives; ends at chain rule - great mini tutorials!)

  • Math Club

    The GHS Math Club is devoted to learning and sharing mathematics. The competitions provide our students with an opportunity to measure their abilities and knowledge of mathematics with others throughout the nation.

    Meetings: Wednesdays at 2:30pm in room 2708 (Mrs. Peterson's room).The club will prepare for competitions with mini-lessons and by devising strategies.

    The GHS Math Club competes in number of math competitions including the AMC, Math League and State Mathematics Test.

    Curriculum

    MA200/201 ALGEBRA IA/ALGEBRA IB
    Grades:9, 10, 11, 12       1 Year   1 Credit
    This course must be taken to fulfill math graduation requirements.
    This course fulfills Arizona university entrance requirements.

    This course will focus on linear, quadratic, and exponential functions, including sequences, and also explore absolute value, and piecewise-defined functions. Students will develop fluency writing, interpreting and comparing functions given graphically, numerically, symbolically, and verbally and use them to solve problems. Students will also explore a formal means of assessing how a model fits data.

    MA205W/206W HONORS ALGEBRA IA/ALGEBRA IB
    Grades:9          1 Year   1 Credit-Weighted Grade
    Prerequisite:
    Placement may be based on recommendation and review.
    This course must be taken to fulfill math graduation requirements.
    This course fulfills Arizona university entrance requirements.

    This course will conduct an in-depth study of linear, quadratic, and exponential functions, including sequences, and also explore absolute value, and piecewise-defined functions. Students will develop fluency writing, interpreting and comparing functions given graphically, numerically, symbolically and verbally, and use them to solve problems. Students will also explore a formal means of assessing how a model fits data.

    MA300/301 GEOMETRY A/GEOMETRY B
    Grades:9, 10, 11, 12       1 Year   1 Credit
    Prerequisite:
    Algebra I
    This course must be taken to fulfill math graduation requirements.
    This course fulfills Arizona university entrance requirements.
     

    This course will focus on the study of congruence, similarity, right triangle trigonometry, circles, expressing geometric properties with equations, coordinate geometry, geometric measurement and dimension, and conditional probability with an emphasis on real-world modeling contexts. Concepts will be developed through investigation of rigid and non-rigid transformation, constructions, and proof.

    MA305W/306W HONORS GEOMETRY A/GEOMETRY B
    Grades:9, 10     1 Year   1 Credit-Weighted Grade
    Prerequisite:
    Honors Algebra I, placement may be based on recommendation and review
    This course must be taken to fulfill math graduation requirements.
    This course fulfills Arizona university entrance requirements.

    The course will conduct an in-depth study of congruence, similarity, trigonometry, circles, expressing geometric properties with equations, coordinate geometry, geometric measurement and dimension, and conditional probability with an emphasis on real-world modeling contexts. Concepts will be developed through investigation of rigid and non-rigid transformations, constructions and proof.

    MA314 INTERMEDIATE ALGEBRA
    Grades:11, 12    1 Year   1 Credit
    Prerequisite:
    Algebra I, Geometry
    This course fulfills Arizona university entrance requirements.

    This course will include an analysis of polynomial, radical, rational, exponential with real exponents, and logarithmic functions. Students will continue to develop fluency in writing, comparing, solving (including complex solutions), and interpreting problems represented by the above function families as well as explore the effects of transformations on their graphs. Students will examine data on two quantitative variables to choose functions and make conclusions in context of the data. This course will prepare students for College Math or College Algebra.

    MA400/401 ALGEBRA IIA/ALGEBRA IIB
    Grades:10, 11, 12           1 Year   1 Credit
    Prerequisite:
    Algebra I (recommended C or better),Geometry
    This course, Algebraic Functions I or a Math personal curriculum plan must be successfully completed as part of Math graduation requirements.
    This course fulfills Arizona university entrance requirements.

    This course will extend algebraic and geometric concepts and apply these to polynomial, radical, rational, exponential with real exponents, logarithmic, and trigonometric functions, as well as piecewise defined functions. Students will continue to develop fluency in writing, comparing, solving (including complex solutions), and interpreting problems represented by the above function families as well as explore the effects of transformations on their graphs. Students will examine data on two quantitative variables to choose functions and make conclusions in context of the data.

    MA405W/406W HONORS ALGEBRA IIA/ALGEBRA IIB
    Grades:9, 10, 11, 12       1 Year   1 Credit-Weighted Grade
    Prerequisite: Honors Algebra I (recommended C or better)
    Honors Geometry, placement may be based on recommendation and review
    This course fulfills Arizona university entrance requirements.

    This course will extend algebraic and geometric concepts and apply these to an in-depth study of polynomial, radical, rational, exponential with real exponents, logarithmic, and trigonometric functions, as well as piecewise defined functions. Students will continue to develop fluency in writing, comparing, solving (including complex solutions), and interpreting problems represented by the above function families as well as explore the effects of transformations on their graphs. Students will examine data on two quantitative variables to choose functions and make conclusions in context of the data.

    MA408 COLLEGE MATHEMATICS
    Grades:11, 12    1 Year   1 Credit
    Prerequisite:
    Algebra II, Intermediate Algebra,or Algebraic Functions 1
    Can be taken for dual credit
    This course fulfills Arizona university entrance requirements.

    Students that plan to pursue a college degree in science, technology, engineering or math, should take MA410 Pre-Calculus. Consult your counselor or math teacher for more details.

    This course will develop students’ working knowledge of college-level mathematics and its application to real-life problems. Topics will include set theory, probability, statistics, finance, and geometry.

    MA409 COLLEGE ALGEBRA
    Grades:12         1 Year   1 Credit
    Prerequisite:
    Algebra II, Intermediate Algebra
    Can be taken for dual credit
    This course fulfills Arizona university entrance requirements.

    This course will cover analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions, as well as systems of equations, modeling and solving real world problems.

    MA410 PRE-CALCULUS
    Grades: 11, 12    1 Year   1 Credit
    Prerequisite:
    AlgebraII
    Can be taken for dual credit
    This course fulfills Arizona university entrance requirements.

    This course will cover analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, and piecewise defined functions, as well as solving systems of equations, with an emphasis on modeling and solving real world problems. In addition, it will include a study of measures of angles, properties of graphs of trigonometric functions, fundamental identities, addition and double-angle formulas, inverse trigonometric functions, solutions of trigonometric equations, complex numbers, properties of triangle solutions, and conics.

    MA415W HONORS PRE-CALCULUS
    Grades:9, 10, 11, 12       1 Year   1 Credit-Weighted Grade
    Prerequisite:
    Completion of Honors Algebra II, placement may be based on recommendation and review Can be taken for dual credit
    This course fulfills Arizona university entrance requirements.
     

    This course will conduct an in-depth study of analysis and interpretation of the behavior and nature of functions including polynomial, rational, exponential, logarithmic, power, and piecewise defined functions, as well as solving systems of equations, with an emphasis on modeling and solving real world problems. In addition it will include a study of measures of angles, properties of graphs of trigonometric functions, fundamental identities, addition and double-angle formulas, inverse trigonometric functions, solutions of trigonometric equations, complex numbers, properties of triangle solutions, and conics.

    MA416W AP CALCULUS AB
    Grades:10, 11, 12           1 Year               1 Credit-Weighted Grade
    Prerequisite:
    Pre-Calculus or application and approval.
    Can be taken for dual credit
    This course fulfills Arizona university entrance requirements.

    This course will center around the foundational concepts of calculus: limits, derivatives, and integrals and the Fundamental Theorem of Calculus. These concepts will be developed through mathematical practices for AP Calculus: (1) Reasoning with definitions and theorems; (2) Connecting concepts; (3) Implementing algebraic/computational processes; (4) Connecting multiple representations; (5) Building notational fluency; and (6) Communicating. This course is designed to prepare students to successfully complete the Advanced Placement Exam in May.

    MA417W AP CALCULUS BC
    Grades:10, 11, 12           1 Year   1 Credit-Weighted Grade
    Prerequisite:
    Honors Pre-Calculus or application and approval
    Can be taken for dual credit
    This course fulfills Arizona university entrance requirements.

    This course will center around the foundational concepts of calculus: limits, derivatives (including planar motion), integrals and the Fundamental Theorem of Calculus (including improper integrals, integration by parts, lengths of curves, and logistic growth), and series. These concepts will be developed through mathematical practices for AP Calculus: (1) Reasoning with definitions and theorems; (2) Connecting concepts; (3) Implementing algebraic/computational processes; (4) Connecting multiple representations; (5) Building notational fluency; and (6) Communicating. This course is designed to prepare students to successfully complete the Advanced Placement Exam in May.

    MA419W CALCULUS III
    Grades:11, 12    1 Semester (1st) 1/2 Credit-Weighted Grade
    Prerequisite:
    AP Calculus BC
    Can be taken for dual credit

    This course will include the study vector-valued functions of several variables, multiple integration and is an introduction to vector analysis.

    MA420W DIFFERENTIAL EQUATIONS
    Grades:11, 12    1 Semester (2nd)             1/2 Credit-Weighted Grade
    Prerequisite:
    Calculus III
    Can be taken for dual credit

    This course will examine ordinary differential equations with applications including Laplace transformations with numerical methods.

    MA500 FINANCIAL APPLICATIONS FOR LIFE I
    Grades:11, 12    1 Semester (1st)             1/2 Credit

    This course will introduce valuable financial management skills. Topics will include the principles of savings, the effect money has on relationships, budget/cash flow planning, dangers of debt, consumer awareness, and bargain shopping. Students will experience applications that will support the Arizona Mathematics Standards to include the following: defining quantities, interpreting parameters, evaluating graphical models, writing and solving equations that represent the relationships between two quantities, investigating the effects of exponential growth and decay including continuous can compound interest, and using a variety of formulas and statistical displays to represent data. Functions that will be modeled will include linear, piecewise, exponential, rational, and radical. Mathematical Practice Standards are utilized throughout the course.

    MA501 FINANCIAL APPLICATIONS FOR LIFE II
    Grades:11, 12    1 Semester (2nd)             1/2 Credit  

    This course will further examine valuable financial management skills. Topics will include career choices, taxes, investment principles and options, funding your retirement, college funding, credit bureaus and collection practices, insurance, real estate and mortgages to include amortization. Students will experience applications that will support the Arizona Mathematics Standards to include the following: defining quantities, interpreting parameters, evaluating graphical models, writing and solving equations that represent the relationships between two quantities, investigating the effects of exponential growth and decay including continuous and compound interest, and using a variety of formulas and statistical displays to represent data. Functions that will be modeled will include linear, piecewise, exponential, rational, and radical. Mathematical Practice Standards are utilized throughout the course.

     


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