- A.SSE.1 – Interpret parts of an expression such as term, factor, and coefficient.
- A.SSE.2 – Use the structure of an expression to rewrite them into equivalent forms (factoring, dividing, multiplying polynomials).
- A.APR.1 – Add, Subtract & Multiply Polynomials
- A.APR.2 – Apply the Remainder Theorem (rewrite division problems as multiplication problems plus the remainder).

- Adding and Subtracting Polynomials
- Using Area to understand Distribution & Factoring
- Multiplying Polynomials Classwork
- Multiplying Polynomials HW
- Dividing Polynomials – Reverse Tabular (Lesson 3)
- Long Division w/ Polynomials (Lesson 4)
- Putting It All Together (Addition, Subtraction, Multiplication & Division) – Lesson 5
- Answers Guide Video (see description for specific question time stamps)
- Lesson 5 Teacher Guide

- Math Hospital (Polynomial Arithmetic)
- Explanation Video (see link for timestamps)

A2_Unit 1_1819 – Functions Part 1

]]>Meanwhile, let’s understand what will be in this unit of learning:

- EU 1.1 – The concept of a limit can be used to understand the behavior of a function.
- Express limits symbolically an using correct notation.
- Interpret limits expressed symbolically.
- Estimate limits of functions.
- Determine limits of functions.
- Deduce and interpret behavior of functions using limits.

- EU 1.2 – Continuity is a key property of functions that is defined using limits.
- Analyze functions for intervals of continuity or points of discontinuity.
- Determine the applicability of important calculus theorems using continuity.

Transformations Cheat Sheet can help as you recall how each transformation works.

The video from Mr. Germanis explains this process, however the Khan Academy video (linked below too) is a set of 4 videos that explains WHY the transformations always work using these shortcuts. It is to your benefit to review this learning through these videos.

]]>This video talks a little bit about domain and when things start to not work. It’s a short review of what will work and won’t work for functions.

Finally, to practice the learning that has happened in class, we worked on an activity focusing on Domain and Range. This is classwork/homework and covers topics that have always shown up on the state Smarter Balance Assessment and the SAT.

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We will use “function notation” which is a way to say, “the way we write a function.” You may be familiar with y=2x+5, in this class we will be using f(x) = 2x+5 which means the same thing as “y” and is called function notation.

https://www.khanacademy.org/math/algebra/algebra-functions/evaluating-functions/v/what-is-a-function

]]>I look forward to an exciting year with you.

-Mr. Germanis

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