Prerequisites
Algebra I, Geometry, Algebra II
Grade Level
Grade12
Teacher Info
Mr. Donnil Dignos
Mr. Donnil Dignos is a passionate mathematics teacher with fifteen (15) years of experience working with students in grades 2-12, specializing in mathematics, physical education, scheince and performing Arts. Adept in creating a powerful curriculum in accordnace with educaitonal standards. Able to create and foster positive relationshops with students, staff, and family members of students. knowledgable and experienced in various educational philosophies, which best promote the overall experience of a student. A committed faculty member, experienced in organizing school events, trips, and fundraisers.
Course Syllabus（For Reference Only）
This course gives an in-depth understanding of the concepts and mathematic thinking as preparation for students in taking Calculus or AP Calculus. Students shall learn the properties, algebra, graphs, and language of functions. These functional concepts are continually reinforced throughout this course and applied to advanced topics, such as analytic geometry and polar equations.
Course Design
Week 1: Introduction to Trigonometry, definition of terms, angle in standard position.
Week 2: Converting Radian to degree and vice-versa, solving radian measure using the formula s = r? and finding co-terminal angles.
Week 3: Finding the supplement and complement of an angle, and solving the six trigonometric functions.
Week 4 – 5: Sines, cosines, and tangents of special angles, and solving trigonometric functions using trigonometric identities.
Week 6 – 7: Right triangle and Pythagorean Theorem, and application of SOH-CAH-TOA.
Week 8: Trigonometric functions of any angle, reference angles, and solving trigonometric equations.
Week 9: Review and Midterm exams.
Week 10: Derivation of Law of Cosine and solving oblique triangles using the law of cosine with Bearings.
Week 11: Derivation of the Law of Sine and the Law of Tangent, and problems involving those laws with Bearings.
Week 12: Verifying/proving trigonometric identities.
Week 13 – 14: Sum and Difference Formulas for Sine, Cosine, and Tangent, and evaluating trigonometric functions.
Week 15: Follow-up for sum and difference formulas.
Week 16: Double-angle and half-angle formulas, and their applications.
Week 17: Product to Sum and Sum to Product Identities.
Week 18: Review and Final Exams.
Week 1-2: Remainder and Factor theorems, and their application.
Week 3-4: Roots and Zeros – complex conjugates theorem, and Des Cartes’ Rule of signs.
Week 5: Rational Zero theorem and definition of quadratic form.
Week 6: Composition of functions, and inverse functions and relations.
Week 7: Rational expressions and rational equations.
Week 8: Review for Midterm Exams.
Week 9-10: Midterm Exams
Week 11: Introduction, Definition – Exponential and Logarithmic functions.
Week 12: Exponential Growth and Decay
Week 13: Properties of Exponential equation and solving exponential equations
Week 14: Properties of Logarithmic Function and solving logarithmic equations
Week 15 – 18: Introduction to Calculus, and Limits
Week 2: Converting Radian to degree and vice-versa, solving radian measure using the formula s = r? and finding co-terminal angles.
Week 3: Finding the supplement and complement of an angle, and solving the six trigonometric functions.
Week 4 – 5: Sines, cosines, and tangents of special angles, and solving trigonometric functions using trigonometric identities.
Week 6 – 7: Right triangle and Pythagorean Theorem, and application of SOH-CAH-TOA.
Week 8: Trigonometric functions of any angle, reference angles, and solving trigonometric equations.
Week 9: Review and Midterm exams.
Week 10: Derivation of Law of Cosine and solving oblique triangles using the law of cosine with Bearings.
Week 11: Derivation of the Law of Sine and the Law of Tangent, and problems involving those laws with Bearings.
Week 12: Verifying/proving trigonometric identities.
Week 13 – 14: Sum and Difference Formulas for Sine, Cosine, and Tangent, and evaluating trigonometric functions.
Week 15: Follow-up for sum and difference formulas.
Week 16: Double-angle and half-angle formulas, and their applications.
Week 17: Product to Sum and Sum to Product Identities.
Week 18: Review and Final Exams.
Week 1-2: Remainder and Factor theorems, and their application.
Week 3-4: Roots and Zeros – complex conjugates theorem, and Des Cartes’ Rule of signs.
Week 5: Rational Zero theorem and definition of quadratic form.
Week 6: Composition of functions, and inverse functions and relations.
Week 7: Rational expressions and rational equations.
Week 8: Review for Midterm Exams.
Week 9-10: Midterm Exams
Week 11: Introduction, Definition – Exponential and Logarithmic functions.
Week 12: Exponential Growth and Decay
Week 13: Properties of Exponential equation and solving exponential equations
Week 14: Properties of Logarithmic Function and solving logarithmic equations
Week 15 – 18: Introduction to Calculus, and Limits