# Mathematics

Algebra 1 | 10 credits/year |
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This course introduces students to variable expressions and their use in representing variable quantities in real world situations. Students learn to manipulate and evaluate the expressions and to solve for the variable when the value of a variable expressions unknown. They also learn two-dimensional graphing and to solve quadratic equations. Each student must have and maintain his/her own scientific calculator. Meets the University of California “c” and California State University requirements.

* Prerequisites: Adequate score on the Mercy High School Mathematics Placement Examination or a grade of “B” or better in Pre-Algebra or a grade of “C” in Pre-Algebra combined with an adequate score on the Mercy High School Mathematics Placement Examinations and instructor’s/department chair’s approval. Note: It is recommended that students do not take this course for the first time in summer school.*

Geometry | 10 credits/year |
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Students will study angles, parallel lines, polygons, congruent and similar triangles, circles, right triangle trigonometry, and some three-dimensional figures. Inductive reasoning is used to form conjectures, and deductive reasoning is used in proofs. Meets the University of California “c” and California State University requirements.

* Prerequisite: A grade of C or better in Algebra 1.*

Algebra 2 | 10 credits/year |
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Students will learn various classes of complex numbers and functions and– linear, quadratic, exponential, logarithmic, and rational – and their use in mathematical modeling. They also will learn functional graphing and systems of equations. Each student must have and maintain his/her own scientific calculator for the course. Meets the University of California “c” and California State University requirements.

* Prerequisites: A grade of C in both Algebra 1 and Geometry or Instructor’s/Department Chair’s approval. Note: It is recommended that students do not take this course for the first time in summer school.*

Pre-Calculus | 10 credits/year |
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Welcome! This class is designed in both content and workload to prepare you for an introductory college course in calculus. It will be review and expand upon the topics introduced in Algebra 2. In addition, it will thoroughly cover trigonometric functions and identities. Concepts, results, and problems will be expressed geometrically, numerically, analytically, and verbally. The connections between these representations will be emphasized. This class meets both state and Diocesan standards.

* Prerequisite: A grade of B or better in both Algebra 2 and Geometry or a grade of C in Geometry and sufficient scores on the appropriate CSU/UC tests and Instructor’s/Department Chair’s approval.*

Advanced Placement Calculus AB | 10 credits/year |
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This course covers the necessary fundamentals of a university calculus course for mathematics, science or engineering majors. It prepares students for the Advanced Placement Calculus AB test by covering both differential and introductory integral calculus with an emphasis on limits, continuity, derivatives, rates of change, Reimann integrals, and applications. Each student must have and maintain his/her own TI-89 graphics calculator for the course. Fulfills the University of California “c” and California State University requirement.

* Prerequisite: A grade of “B” or better in Pre-Calculus.*

Advanced Placement Calculus AB and BC | 10 credits/year |
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Welcome! This class is designed in both content and workload after an introductory level college course sequence in calculus. Most students taking this course are enrolled in Calculus AB. For them, the first semester of this course will focus primarily on the study of derivatives. The second semester of this course will focus primarily on the study of integrals. For those students taking Calculus BC, your curriculum will be further enriched with study in ordinary differential equations. This class meets both state and Diocesan standards.

* Prerequisite: Pre-Calculus.*

Advanced Placement Calculus BC | 10 credits/year |
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The Calculus BC course develops students’ understanding of the concepts of calculus and provides experience with its methods and applications. The course emplasizes a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. This is an extension of Calculus AB, with common topics requiring a similar depth of understanding.

* Prerequisites: Calculus AB*

Ag Business Math | 10 credits/year |
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This course is designed as a practical math course for students who have completed Algebra 2 but, for a variety of reasons, do not want to prepare for Calculus. While the same mechanics, formulas, standard methodology and vocabulary found in any college level introductory statistics course are present in this course, the emphasis is on real life situations, problems and studies and how statistics can help make sound decisions in health care, business, industry, politics, and everyday life. The skill most transferable to real life is that of developing the ability to think critically about what you hear, read, and see in books, magazines, newspapers and other media. The universal expected student learning outcome is that each student will possess the tools necessary to think critically about this information - and misinformation - and be able to distinguish between the two.In order to make sound business decisions in the complex world of Agribusiness, students need to find ways to integrate responsible, sustainable agricultural practices that will benefit agriculture and the environment now and in the future. This course seeks to build mathematical connections in making those sound business decisions and build structure for real world applications of math. Upon completion of this course, students will understand how local, regional and global agricultural influences can translate into a process of using mathematics and statistics to analyze and drive decision making.

* Prerequisites: Algebra 2*