Algebra+1

=Welcome to Algebra 1 Trimester 3! = =New Procedures:=
 * ======**Test Corrections and Retakes:** These will only be offered if **ALL** homework from a unit is completed. Test corrections and retakes are offered until the next chapter/unit test or assessment.======
 * **Folders**: Remember, you should be turning in homework in a folder you keep in the classroom. Ms. Wood checks folders about once a week. Make sure you have one to look at!

**Friday 5/13/2011: Practice Graphing**
This is the website we used in class!**
 * Make a Table and Solve by Graphing**
 * More about Vertex Form: [|Graphing Parabolas in Vertex Form]**

**Tuesday 5/10/2011 -Thursday 5/12/2011 Graphing Quadratics**

 * We worked to find patterns between equations and setting up graphs **
 * To graph a quadratic: **
 * 1.) Find the __vertex__ point, and put it in the middle of your x-y Table **
 * 2.) Finish your x-list based on the vertex. Plug x-values into the equation to find the y-values. **
 * 3.) Plot (x,y) pairs on the graph. Connect the dots. **


 * Video Example for Graphing: [|Graph Video] **
 * Notes on Graphing: [[file:Quadratics Graphing Stations.pdf]] **
 * HW10 due Monday 5/16: [[file:HW10 Graphing Quadratic Equations.doc]] **

**Monday 5/9/2011 Quadratics in Real Life**
We talked about situations that involve quadratic types of relationships, such as throwing a ball, diving from a cliff, and being shooting a firework. Vocab: **Problem Solving Activity HW9:** **due Tuesday 5/10**
 * **Parabola**: The shape of a quadratic graph (u-shape)
 * **Roots**: The zeros, solutions, or x-intercepts
 * **Vertex**: The highest or lowest point on a parabola
 * **Starting Point**: The y-intercept
 * **Axis of Symmetry**: The line that cuts the parabola in half. Goes through the vertex

**If this document shows up the wrong direction:
-Go to VIEW menu -Drag down to "Rotate Document View" -Click on the Clockwise Pop Up

**NOTES SHEET: [[file:Quadratics Notes.pdf]] **
==**Need Help Solving Quadratics? Go to this website: [|Solving Quadratics] **==

You can use the formula to solve any equation in the form 0 = ax 2 + bx + c


Example:

Wednesday 4/27/2011 Solving with Square Roots
Square roots undo the exponent of 2 (squaring) and help us answer "what times itself is the number under the sign?" Example:

[[image:http://www.roots-and-radicals.com/articles_imgs/4937/solvin87.gif width="129" height="117"]]

 * Practice Assignments:** [[file:Solving Quadrations with Square Roots.doc]] Part 1 and 2 for Friday

Tuesday 4/26/2011 Solving by Factoring
What are we finding by factoring? The **roots** of a quadratic are the answers we tend to look for. They are where ax 2 + bx + c = 0 and where the U-shaped graph touches the x-axis. Complete the investigation to see how factoring can help you to find zeros or roots of quadratic equations.
 * Example: In the picture the roots (answers) are x = -3 and x = 2**


 * INVESTIGATION [[file:Solving Equations in Factored Form.doc]]**

A __quadratic function__ is one that can be written as ax 2 + bx + c
We have three methods for finding the x-values with solve a quadratic equation: 1.) Factoring  = 0 2. ) Square Roots 3.) Quadratic Formula

We did factoring practice in class today! ==

Polynomials Test 4/21/2011==

Polynomials Review: [[file:Polynomials Test 2 Review.doc]]
Review Key: Review Key Part 2 (half sheet):

Use the box method to undo FOIL.
HW7 Factoring Trinomials due 4/19/2011 Factoring Videos: [|Factoring Example 1] [|Factoring Example 2] <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">[|Box Method Factoring]
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">The first term goes in the first box.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">The last term goes in the last box.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Multiply the first coefficient by the last.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Find factors of the product. Choose the pair that adds up to the coefficient of the second term.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Put these two factor into the middle boxes.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Find the GCF of the top row.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Fill in the leftovers across the top.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Find the final factor for the side.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Check to make sure the last works out.
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Write your two binomial factors from the sides of the box.

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Thursday 4/14/2011 Factoring the GCF
<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Find the Greatest Common Factor (GCF) for each of the terms in the polynomial. Divide it out. <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">The GCF is the biggest number that goes into every term evenly.

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Factored Form: GCF(leftover)
 * <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">HW 6 due 4/18/2011 [[file:HW6 Greatest Common Factor.doc]]**

Multiplication: Use exponent rules and distributive property.
Example: 2x ( x + 4) = 2x^2 + 8x

**<span style="font-family: Arial,Helvetica,sans-serif;">Division: Use the distributive property **.
See notes from class.

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Tuesday 4/5/2011 Polynomials
<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**Names:** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**6 Constant (1 term, no variables)** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**4x __Mon__onmial (1 term)** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**4x + 18 __Bi__nomial (2 terms)** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**4x^3 + 5x + 11 __Tri__nomial (3 terms)** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**Standard Form: Terms are in order from the highest exponent to the lowest exponent.** <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Example: 14x^3 + 8x^5 - 2x should be 8x^5 + 14x^3 - 2x

<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**Addition:** Combine Like Terms <span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">HW4 due Friday 4/8/2011 HW 4 Key


 * <span style="color: #0000ff; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Exponential Equations Test 3/31/2011 **

Test Thursday! Study Guide (blank): [[file:Exponential Equations Study Guide.doc]]
Scientific Notation and Linear, Growth, Decay (NO CALCULATOR SECTION): Graphing Exponentials (CALCULATOR OK!):
 * Study Guide Key:** [[file:Exp Equations SG KEY.doc]]
 * Notes and Directions**:

<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">[|Growth and Decay Video]

**<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Decay y = a (1 -r) ^x **
==**<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">HW 3 due Wednesday 3/30/2011<span style="font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;"> **==

<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Scienfic Notation 3/22-3/23/2011
==<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;"> ==

Scientific Notation: (a number 1-10) x 10^(power)
The power tells you how many places to move the decimal in order to get the normal number. Video Examples: [|Word Problem] [|Examples of Numbers]

**<span style="color: #0000ff; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Exponents Review Key [[file:Exponents Study Guide Key.doc]] **
<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Anything to the zero power is **1.** <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;"> <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**Negative exponents** become **fractions.** <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**Examples:** <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;"> <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">When dividing, you can **subtract the exponents**. <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Examples: <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;"> <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">When you have a power raised to another power, you can **multiply the exponents.** <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">**Example:** <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">
 * <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Monday 3/07/2011: Exponent Laws for Zero and Negative Exponents **
 * <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Thursday 3/03/2011: Exponent Laws for Division **
 * <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Wednesday 3/02/2011: Exponent Laws for Exponents raised to Powers (a power to a power) **

<span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">When you multiply two things with the same __**base**__, you can **add the exponents**. <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Example: <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">
 * <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Tuesday 3/01/2011: Exponent Laws for Multiplication **


 * <span style="color: #000000; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif;">Exponent Law Worksheets: [[file:Exponent Operations Worksheets_2.doc]] **