Algebra 1

Algebra is a fundamental piece of higher level mathematics. The concepts we will cover in class are the foundation on which all other math courses are built. We will spend time learning multiple concepts and rules to ensure a concrete basis for the rest of the student's study in mathematics. It is my goal to teach the students the information they need to know, as well as show the students the relevance Algebra has to their daily life. I take a hands on approach to math, which means we will be doing multiple activities and projects.

 
Many students seem to struggle with adding, subtracting, multiplying, and dividing negative numbers. This is a standard that should have been mastered in Middle School, so I do not take the time in class to reteach this concept. Below I have added some links to some very good math websites that will help your student understand this fundamental concept of math. If your students needs help, please encourage him/her to stay after school one day so I can further explain the concept. Thank you.
 
 
Notes and Handouts will be uploaded to the Notes and Docs Page
 
 
Please visit this page frequently to see updates on what we are covering in Algebra 1. I will post lesson summaries and supports to this page weekly. This is an excellent page to visit if you have been absent.  
 

April 20th - 22nd, 2015

posted Apr 20, 2015, 9:21 AM by jsmith@faculty.brashiermiddlecollege.org

We will be working on a Quadratics Project in class for these 3 days. Students need to bring in a full sized poster board for this in class project. The project is due at the end of the period Wednesday 4/22.

April 17th, 2015

posted Apr 17, 2015, 8:13 AM by jsmith@faculty.brashiermiddlecollege.org

THE LAST SECTION OF THE UNIT!!!!!!!!!!!!!!!!!!!! Section 10.8: Quadratic Formula

Today we discussed the final method used to solve quadratic equations by using the Quadratic Formula.

In order to use the Quadratic Formula you must MEMORIZE the formula!!!



Maybe this will help you remember the formula:

YouTube Video



Examples of the Quadratic Formula


Some help on the method.

YouTube Video


April 16th, 2015

posted Apr 17, 2015, 7:58 AM by jsmith@faculty.brashiermiddlecollege.org

Today we discussed solving quadratics by Completing the Square from Section 10.7.

It is important to remember that in order to complete the square the equation MUST be in the form of ax^2 + bx = c. There HAS to be a b term!

YouTube Video


April 15th, 2015

posted Apr 15, 2015, 10:31 AM by jsmith@faculty.brashiermiddlecollege.org

Today we covered the end of Section 10.5 and section 10.6.  Both topics discussed are methods that can be used in order to solve quadratic equations. Remember the solution to a quadratic equation is the same thing as finding the zeros.

The first method discussed today was solving by factoring.

YouTube Video


The second method we discussed today was solving by square roots.

YouTube Video



YouTube Video


April 14th, 2015

posted Apr 14, 2015, 8:36 AM by jsmith@faculty.brashiermiddlecollege.org

Today we discussed solving quadratics by graphing in Section 10.5.

A solution to a quadratic equation is the zeros, x-intercepts, of the function. To solve by graphing:
1st: write the equation as a function --> y = ax^2 + bx + c
2nd: graph the function --> Find the A.S., vertex, y-intercept, and 2-points if needed.
3rd: Determine the zeros (solutions) from the graph

A quadratic may have 0 solutions, 1 solution, or No solutions.

YouTube Video


April 13th, 2015

posted Apr 14, 2015, 8:26 AM by jsmith@faculty.brashiermiddlecollege.org

Today students studied about transformations of quadratics in Section 10.4. Transformations are the changing a of a functions graph from the parent function.


All other Quadratic functions are a manipulation of the parent function.










Below is a summary of each transformation. Transformations can be layered and a function may have multiple transformations in one problem.


all images come from Math is Fun website.

April 8th, 2015

posted Apr 8, 2015, 8:08 AM by jsmith@faculty.brashiermiddlecollege.org

Section 10.2: Characteristics of a Quadratic. We focused on finding the zeros of a graphed parabola, and determining the equation for the axis of symmetry.  We then used the axis of symmetry to find the vertex.

Reminder: 
Zero of a quadratic is essentially the x-intercept(s) of the graph. 


The Axis of symmetry is a VERTICAL line that splits the parabola in 2 equal parts. Since the axis of symmetry is a vertical line, you must give the answer as x = number value.


If you are not given the graph of a quadratic function, then you need to use the formula in order to find the axis of symmetry.


Once you find the axis of symmetry it is a simple case of substitution to determine the ordered pair for the vertex.



April 7th, 2015

posted Apr 7, 2015, 8:25 AM by jsmith@faculty.brashiermiddlecollege.org

Today we began our final unit in ALGEBRA 1!!!  UNIT 10: Quadratics!

Section 10.1: Focused on identifying if a function is a quadratic or not. Many of the characteristics of a quadratic parallel with those of a linear function.

 Linear FunctionQuadratic Function 
 Has a degree of 1  Has a degree of 2 
 Is written in the form y = mx + b OR ax + by = c Is written in the form y = ax^2 + bx + c
 Has a Constant Difference Has a Constant 2nd Difference
 Graph is a Line Graph is a Parabola

YouTube Video



Finding the Domain and Range of the Parabola

YouTube Video


February 6th, 2015

posted Feb 6, 2015, 7:11 AM by jsmith@faculty.brashiermiddlecollege.org

Today we explored section 7.5: Rational exponents. The students took the lead on this lesson and did a great job explaining. The video below further explains the information in the lesson.

YouTube Video


February 4th, 2015

posted Feb 4, 2015, 9:19 AM by jsmith@faculty.brashiermiddlecollege.org

Today we discussed Section 7.4: Quotient Properties. 

YouTube Video


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