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Math

Below are the 2020-2021 syllabus for our Mathematics Department. For questions or more information, please contact the teacher either using the student's TRUSD Gmail account or through your Aeries Parent Portal communication feature.

 

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Sergei Borushko
 
 
Kathleen Kees
 
 
Sarah Lanning
 
 
Christopher Mills
 
 
 
Mark Nickel
 
Eric Saltzen
 

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Math_Courses Card IconMath Courses

Integrated Math 1

Integrated Math 1
Prerequisite: None
Integrated Mathematics 1 is the first of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics has been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 1 deepens and extends understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Integrated Mathematics 1 uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. Units within the course include standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability, and present them in an interconnected and coherent sequence. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

Integrated Math 2

Integrated Math 2
Prerequisite: Integrated Math 1
Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics has been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 2 focuses on quadratic expressions, equations and functions, and on comparing the characteristics and behavior of these expressions, equations, and functions to those of linear and exponential relationships from Mathematics I. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of real world problem situations.
 
Integrated Math 2 Honors
Prerequisite: Integrated Math 1
Honors Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends mathematics to prepare students for Advanced Placement courses after Honors Integrated Math 3.

Integrated Math 3

Integrated Math 3
Prerequisite: Integrated Math 2
Integrated Mathematics 3 is the third of a three course sequence that extends the mathematics learned in earlier grades. Students completing Integrated Mathematics 3 will be prepared for a fourth year college preparatory math course. CCSS for mathematics has been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 3 focuses on extending knowledge of polynomials that culminates in the Fundamental Theorem of Algebra. Students learn that arithmetic of rational expressions has the same rules as the arithmetic of rational numbers. Students synthesize what they learned about a variety of function families and extend work with exponential functions to use of logarithms. They explore the effects of transformations on graphs of diverse functions. Students develop the Laws of Sines and Cosines in order to find missing measures of general triangles. Trigonometry applied beyond the right triangle builds to the idea of radian measure for angles and extend the domain of the trigonometric functions to all real numbers. Students relate to different types of data, probability distributions, and different ways of collecting data from previous courses. Students extend their understanding of modeling in the context of functions, parameters and domains of functions. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of real world problem situations.
 
Integrated Math 3 Honors
Prerequisite: Integrated Math 2
The Honors Integrated Mathematics pathway is designed for students who have shown they are ready for an advanced course sequence that includes Plus Standards as well as Pre-Calculus Standards. In addition to topics taught in Integrated Mathematics 3, this honors course presents more extensive work in trigonometric functions and identities, inverse functions and representations of functions. Students completing Honors Integrated Mathematics 3 will be prepared for AP Calculus.

Advanced Algebra w/ Financial App

Advanced Algebra with Financial Applications
Prerequisite: Algebra 1/ Integrated Math 1
This course employs math concepts to solve financial problems that occur in everyday life. Real‐world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting, and planning for retirement are solved by applying the relevant mathematics.

AP Math Courses

AP Calculus AB
Prerequisite: Pre‐Calculus
Students will explore the key concepts, methods, and applications of single‐variable calculus including functions, graphs, limits, derivatives, integrals, and the Fundamental Theorem of Calculus. Students will become familiar with concepts, results, and problems expressed in multiple ways including graphically, numerically, analytically, and verbally. The use of technology will help students solve problems, experiment, interpret results, and support conclusions. The course prepares students to take the Advanced Placement Calculus AB examination.
 
AP Statistics
Prerequisite: Integrated Math 2
Students will learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will develop analytical and critical thinking skills as you learn to describe data patterns and departures from patterns, plan and conduct studies, use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences. Related applications to psychology, social science, natural science, business, and engineering will be explored. The course prepares students to take the Advanced Placement Statistics examination.