We will do applications of quadratic functions. We will do projectile problems and problems involving maximizing of minimizing quantities. We all maximize areas, revenue, and profit. We will minis cost and amounts of material to do a job.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Another great session. Again, the problems we solved were a result of input from David so he could see the practical use of the concepts studied.
7-7 Factoring Special Cases – We practiced identifying and factoring a trinomial that is a perfect square or a binomial that is a difference of two squares. Then we factored special cases of polynomials within the context of real-world problems.
Assignment: Complete the assigned problems for homework.
We will study proportions in a variety of ways. We will apply proportions to real situations. Examples will be completed.
Assignment
none
Session Minutes
45
Minutes Student Attended
15
Lesson Comments
Cam asked to use the restroom at the beginning of class. After a few minutes I went looking for him. He was in Chris's room working on a dialogue. He said his he was being picked up early by his Mom. He did no math again today.
We will use examples from physics involving projectiles to study quadratic functions. We will graph an object in freer fall using height above the ground versus time. We will also do an example of a projectile launched at an angle.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The lesson went very well. It was motivated by a question David asked on Friday relative to an abject in free fall.
7-7 Factoring Special Cases – We learned that when a trinomial has the pattern a2 + 2ab + b2, then it can be factored as (a + b)2. If a2 - 2ab + b2 then (a - b)2. If a binomial has a pattern a2 - b2, then it can be factored as (a + b)(a - b) where the middle term equals 0 or cancels out.
Assignment: Complete the assigned problems for homework P. 305 38-43.
We will use formulas to calculate information. We will rearrange formulas to solve for a different quantity. We will relate this to useful applications.
We will expand our study of binomials to include quadratic equations. We will solve quadratic equations using several methods. These include factoring, graphing, and the quadratic formula. Examples will be done. We will also identify a parabola as a conic section.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the lesson as outlined. We also discussed paraboloids and looked at graphs of parabola;oids. It was a bit beyond what was in the lesson, but it was a very interesting study.
