Algebra 1

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!!!

Some help on the method.

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!

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.

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

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.

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 Function Quadratic 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

Finding the Domain and Range of the Parabola

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.