Algebra II
Session Date
Lesson Topic
Solving Quadratic equations by factoring.
Lesson Outline
Examples will be done involving factoring a quadratic expression. This will enable us to solve certain quadratic equations as not all are factorable. The factors can be used to find the x-intercepts on the graph of a parabola.
Assignment
Know how to multiply binomials to check factoting.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We got off to a good start with factoring. This will help Ben with symbolic algebra and with basic number skills.
Session Date
Lesson Topic
Quadratic equations
Lesson Outline
We will use four ways to solve a quadratic equation depending on the information and application involved in a given situation. They are factoring, completing the square, the quadratic formula, and graphing. Examples will be done using each method.
Assignment
Five equations to be solved by factoring that will be given in class.
Session Minutes
45
Minutes Student Attended
0
Lesson Comments
Ben was absent today.
Session Date
Lesson Topic
Parabolas
Lesson Outline
We will determine properties of a parabola from a variety of forms of the equation of a parabola. We will use algebra to change from one form to another. We will solve quadratic equations to find x-intercepts.
Assignment
Be able to identify the properties of a parabola.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Ben is able to make connections between equations and graphs. He understands the necessity of using symbolic algebra to identify the properties of a graph.
Session Date
Lesson Topic
Literal Equations and Compound Interest
Lesson Outline
We practiced solving literal equations by isolating a variable. Then we practiced finding the compound interest for several word problems.
Session Minutes
60
Minutes Student Attended
60
Session Date
Lesson Topic
Symbolic Algebra
Lesson Outline
We will expand our knowledge of linear and quadratic functions by studying the equations of these figures This will enable us to identify features to better understand the concepts. For parabolas we will identify the vertex, x and y intercepts, direction, and width.
Assignment
Be able to explain the meaning of m and b in the equation y=mx+b. Be able to identify an equation of a parabola.445
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did a lot of connecting of concepts involving the equations of lines and parabolas and their graph. This was a productive session that will enable us to make additional connections with higher order polynomials.
Session Date
Lesson Topic
Tables of Values for a Function
Lesson Outline
We will look at tables of values for linear and quadratic functions to relate the numbers in the table to the type of function it represents. We will also study the properties of quadratic functions so that we can relate the equation to the properties.
Assignment
Be able to identify the properties of a parabola to its equation.
Session Minutes
45
Minutes Student Attended
35
Lesson Comments
We had technical problems at the beginning of the session, but we got them straightened out. We studied the properties of lines and parabolas as they relate to their equations.
Session Date
Lesson Topic
Tables of values for graphing
Lesson Outline
We will review graphs of lines emphasizing tables of values and plotting points. We will then change our focus to quadratic equations using a table of values to produce a parabola. We will identify applications of parabolas: projectiles, suspension bridges, and reflecting dishes.
Assignment
Be able to identify an equation for a line and for a parabola.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We graphed lines and a parabola. This was a bit of review for Ben, but we will carry this on to higher degree polynomials. We had a very good session.
Session Date
Lesson Topic
Graphs
Lesson Outline
We will continue our general study of graphing functions. We will begin at making tables of values and using these values to plot points, we will also focus just on the tables to see if any useful patterns can be found to help identify the type of function even before plotting the points. Examples will be discussed and we will not be using technology in this process,
Assignment
Identify the type of function from given tables.
Session Minutes
45
Minutes Student Attended
0
Lesson Comments
Ben was not able to connect with me today.
Session Date
Lesson Topic
Graphs
Lesson Outline
We will take the concept of a number line and form a plane determined by two perpendicular number lines to develop the concept of a graph. We will start with the equation of a line using multiple forms to represent the equation. We will look at how Newton used graphs to develop the concept of a derivative to relate quantities of motion in physics.
Assignment
Know the basic components of a graph and how to graph a line.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the concepts of graphs and graphs of lines. We connect the use of the knowledge of a number line to the concept of a derivative in calculus.
Session Date
Lesson Topic
Number Sets
Lesson Outline
We will complete the study of the real number line by adding the irrational numbers. We will study the irrational numbers as a set and identify important properties. We will also define the imaginary numbers and complex numbers and look at their properties.
Assignment
Be able to identify numbers by their type and properties,
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed our study of number sets. We discussed the closure property of number sets as an extra topic. We will move into a study of lines and their equations. It was a very productive session. Ben asks probing questions that take us into more depth than was planned. (closure)