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Welcome to the 2014-2015 school year!
This year we will be learning mathematics through the common core standards.
In 8th grade our first unit/module will be Integer Exponents and Scientific Notation. This unit will be divided into two topics; Exponential Notation and Properties of Integer Exponents (8.EE.1) and Magnitude and Scientific Notation (8.EE.3, 8.EE.4).
On October 10th we are starting our second unit (module) on Transformations. The Concept of Congruence is the focus of this unit. Students will learn about translations, reflections, and rotations in the plane, but the most important aspects will be how to use them to precisely define the concept of congruence. (8.G.A.1, 8.G.A.2, 8.G.A.5, 8.G.B.6, 8.G.B.7).
On November 25th we will start out third module on Similarity. In this module we will study Dilations and Similar Figures. The knowledge gained from performing dilations and identifying properties and characteristics of similar figures will be used to provide a proof of the Pythagorean Theorem using Angle-Angle criterion for similar triangles. (8.G.A.3, 8.G.A.4, 8.G.A.5, 8.G.B.6, 8.G.B.7).
On January 10, 2015 we will start our 4th module on Linear Equations. In this module students will learn to identify, simplify, graph, and solve linear equations.
On March 17, 2015 we will start module 5 on Functions. In this module students will learn about linear and non-linear functions, function vocabulary such as input, output, domain and range.
In AP Calculus AB we will start with pre-requisite materials for Calculus. Lines, Functions and Graphs, Exponential Functions, Parametric Equations, Functions and Logarithms, and Trigonometric Functions. By the end of September, we will start Limits and Continuity. Rates of Change and Limits, Limits Involving Infinity, Continuity, and Rates of Change and Tangent Lines. At the beginning of October, we will start studying Derivatives. Derivative of a Function, Differentiability, Rules for Differentiation, Velocity and Other Rates of Change, and Derivatives of Trigonometric Functions. By the end of October, we will be studying The Chain Rule, Implicit Differentiation, Derivatives of Inverse Trigonometric Functions, and Derivatives of Exponential and Logarithmic Functions. In November, we will be studying Applications of Derivatives. Extreme Values of Functions, The Mean Value Theorem, Graphs of the First and Second Derivative compared to graphs of the original function, Modeling and Optimization problems, Linearization and Differentials, and Related Rates problems. In December we will study The Definite Integral. Estimating with Finite Sums, Definite Integrals, Definite Integrals and Antiderivatives, The Fundamental Theorem of Calculus, and The Trapezoid Rule. In January, we will study Differential Equations and Mathematical Modeling. Slope Fields and Euler's Method, Antidifferentiation by Substitution, Antidifferentiation by Parts, Exponential Growth and Decay, and Logistic Growth. In February, we will study Applications of Definite Integrals. Integral as Net Change, Areas in the Plane, Volumes, Lengths of Curves, and Applications from Science and Statistics. In March and April we will review, and in May it will be time to take the AP Calculus AB exam. This year, the exam will be on Tuesday, May 5th at 8:00 AM.
The New York State 8th grade Assessment starts on April 22, 2015.
Any student looking to increase their grade in mathematics can print out the student materials for the modules that we are working on. In the second marking period, for 8th grade, print modules 3 and 4. Having the student materials printed will ensure that students always have the classwork materials, and all homework assignments. The materials are found in the My Resources section of this website. Having the materials printed will guaranteed students 10 points of the 30 points for classwork in the grade distribution for the course.
All of the modules are now posted on My Resources. Print them out and get ahead.