Totino-GraceA Catholic High School in the Lasallian Tradition
The Math Department seeks to provide each student with a challenging and rewarding math experience. Since we offer a variety of courses at each grade level, we work carefully with students to properly place them in the courses that best fit their needs.
Each course strives to develop and/or enhance students' critical and analytic thinking skills along with improving strategies for problem solving. The Math Department continually strives to keep pace with current math technology and incorporates that technology into the teaching and learning process. In addition, each course enables students to obtain the skills necessary to be successful in math courses in their post secondary education.
Students are required to successfully complete six semesters of mathematics. All courses offered at Totino-Grace are intended to be full year courses.
All math courses except Geometry and Honors Geometry require students to have a graphing calculator.
Beginning with the class of 2019, the following math sequence will be followed.
GeometryAlgebra 2Algebra 3Pre-calculus/Calculus AND/OR Statistics
GeometryAlgebra 2FST *Pre-calculus/Calculus AND/OR Statistics
Honors GeometryHonors Algebra 2 / TrigonometryHonors Analysis AND/OR AP Statistics +AP Calculus/Calculus AND/OR AP Statistics +Calculus 2 OR AP Calculus 2 (BC)+ Students at this level may take two math courses during the academic year* FST = Functions, Statistics and Trigonometry
This course in the elements of plane geometry is designed to develop an understanding of the structures of geometry and their relation to the real world. Students will develop a thorough understanding of the deductive method, strengthen the algebraic skills developed in Algebra 1, demonstrate the ways in which algebra and geometry complement each other, and foster an appreciation of the clear and creative thinking of mathematics.Prerequisite: Algebra 1All Student Elective 2 semesters - 2 credits
This course serves as an alternative to Algebra 2/ Trigonometry and is for the students who need additional practice in learning the concepts or frequent review to maintain their skills. It concentrates primarily on Algebra 2 concepts and includes an introduction to both right triangle trigonometry and logarithms. Prerequisite: Algebra 1 and Geometry.Sophomore/Junior/Senior Elective 2 semesters - 2 credits
The Functions, Statistics, and Trigonometry course develops concepts of functions, statistics, and trigonometry throughout. It provides materials for students to learn to display, describe, transform, and interpret numerical information in the form of data, graphs, or equations. Throughout the course, statistical concepts are integrated with graphical and algebraic ones through the construction of mathematical models of relationships in data sets. Generating models is facilitated using a statistical package on a computer [or calculator], so that students are exposed to a wide range of models including linear, quadratic, higher-order polynomial, exponential, logarithmic, and trigonometric functions. Statistical modeling extends through binomial and normal distributions, and gives students some exposure to hypothesis testing.Sophomore/Junior/Senior Elective2 semesters- 2 credits
An understanding of statistics is required in many fields of study. This elective course for juniors and seniors may be taken concurrently with other mathematics courses. Topics include elements of statistics, measures of tendency, introduction to statistical probability, and decision theory. Prerequisite: Algebra 2/ Trigonometry or Algebra 2.Junior/Senior Elective 2 semesters - 2 credits
This mathematics course is for students who wish to continue in the math sequence after completing Algebra 2 or Algebra 2/Trigonometry. This course is a continuation of the concepts taught in these courses and covers topics from college algebra such as functions and graphs, logarithms, trigonometry, matrices, probability, mathematical modeling and problem solving techniques. Junior/Senior Elective 2 semesters - 2 credits
This college preparatory mathematics course is for the student who wishes to continue in the math sequence after Algebra 2/Trigonometry and intends to take Calculus. It begins with a comprehensive review of Algebra 2 and continues into other topics including functions, graphing, and logarithms. It also includes a continuation of the study of trigonometry. This course is a must for students pursuing careers in math, science, engineering, and medicine.Prerequisite: At least a 'B-' in Algebra 2/Trigonometry.Junior/Senior Elective 2 semesters - 2 credits
This beginning course in calculus covers differential calculus. An extensive and continuous review of algebra and analytic geometry is integrated with the concepts of differential calculus in order to give the student advanced preparation for a college Calculus 1 course. Prerequisite: At least a 'B-' in Pre-CalculusJunior/Senior Elective 2 semesters - 2 credits
Entrance requirements for Honors Mathematics:9th grade: Placement Exam scores plus an additional Algebra Assessment10th - 12th grade: an 'A' in previous math courses and recommendation of the instructorCriteria for continuing (semester to semester) in Honors Mathematics: 'B-' each semester, adherance to expectations and requirements of each course
This course is a full year of Euclidean Geometry with review and integration of algebra topics. It is intended for our most capable and highly motivated math students who have completed Algebra 1.Freshman/Sophomore Elective 2 semesters - 2 credits
This is a second year algebra course with an emphasis on trigonometry during the second semester. It is designed for students who have taken Honors Geometry or who have been recommended by their geometry instructor.Freshman/Sophomore/Junior Elective 2 semesters - 2 credits
This third course in the honors sequence includes the study of pre-calculus concepts and more in-depth study on various sectional topics. Students receive the immediate background necessary for calculus. Sophomore/Junior/Senior Elective 2 semesters - 2 credits
This course is the fourth course in the honors sequence. Topics covered are differential calculus and some beginning integral calculus. Successful completion of this course will prepare students to enter a college Calculus 2 course. 2 semesters - 2 credits
These courses will be offered only if there is sufficient enrollment as determined by the Administration on an annual basis. Honors Calculus 2 is equivalent to the second semester of a college calculus course, and is a continuation of Honors Calculus 1. It covers integral techniques, and the applications of integral calculus including finding areas and volumes of defined regions and solids of revolution. Honors Calculus 3 is the continuation of Calculus 2 and covers such topics as infinite sequences and series, vectors and limits of infinite sequences along with the applications of those ideas. Honors Calculus 2 students can take the Advanced Placement Calculus AB Exam and Honors Calculus 3 students can take the Advanced Placement Calculus BC Exam in May. Junior/Senior Elective 2 semesters - 2 credits
AP Calculus AB is an advanced calculus course to seniors with advanced math skills who are interested in gaining knowledge of differential calculus. The course includes study and application of differentiation and integration, and graphical analysis including limits, asymptotes, and continuity. Students will take the AP Calculus AB exam. Prerequisite: 'A' in Honors Analysis A/B and signature of Honors Analysis instructorSenior Elective 2 semesters - 2 credits
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:1. Exploring Data: Describing patterns and departures from patterns2. Sampling and Experimentation: Planning and conducting a study3. Anticipating Patterns: Exploring random phenomena using probability and simulation4. Statistical Inference: Estimating population parameters and testing hypothesesPrerequisite: 'B' or higher in Algebra 2/Trigonometry and signature of current Math instructor Sophomore/Junior/Senior Elective 2 semesters - 2 credits Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course.
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