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10th Grade Integrated Math III
Instructor: Edward Estrada
East House - Room 1034
Estrada_Edward@ipolyhighschool.org
Integrated Math III integrates advanced algebra concepts with algebraic applications of geometric concepts. Concepts include triangles, quadrilaterals, chords, sectors, areas, compass and straight-edge constructions. Students will interpret and analyze linear, quadratic, rational, logarithmic and exponential functions. Trigonometric functions and identities are introduced using the unit circle. Additional statistics and probability concepts are introduced to complete the course.
Course Description
We begin the semester with polynomial arithmetic and the graphical and algebraic analysis of their functions. Students will then continue their exploration of exponential, rational and logarithmic function. Students will use equations to transform abstract mathematical patterns into captivating visual designs; specifically, their assigned country flag and national animal. By plotting equations as graphs, students will generate intricate shapes and images. This unique fusion highlights the inherent beauty of mathematics and offers a creative medium for exploring complex numerical relationships.
We begin the second semester with geometric constructions using a compass and straightedge alongside their corresponding proofs. We then delve into circles, chords, tangent lines, sectors, radians, inscribed angles and their applications. These analytical skills are highly useful in their second semester Mock Trials project. We end the semester with the introduction to the unit circle and derive all trigonometric functions and properties. Throughout the year, students are exposed to arithmetic and geometric sequences using spreadsheets as well as an introduction to combinatorics.
