Algebra I
Session Date
Lesson Topic
Systems of Equations
Lesson Outline
We will use algebra to solve systems of 2 equations with 2 unknowns. We will begin with the addition method. We will also do the substitution method. The third method we will use in the graphical method.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the lesson as written. We will do examples of the methods in future lessons.
Session Date
Lesson Topic
Solving Systems of Equations.
Lesson Outline
We will study examples of a system of equations. We will identify what solving a system means. Then we will look at three ways to solve a system of two equations using algebra,
Assignment
None
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We got off to a good start in our work on solving systems. We did examples of the graphing and addition methods.
Session Date
Lesson Topic
Polynomials
Lesson Outline
We will study methods to solve a second degree polynomial equation. This will be followed by graphs of third degree polynomials. We will explore by comparing and contrasting the graphs of polynomials of degrees from 0 to 5.
Assignment
No Assignment.
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
We had a great session. David understood the concepts related to graphs of polynomials and asked questions that led us to some topics that are in a precalculus course.
Session Date
Lesson Topic
Topic 7 Polynomials and Factoring
Lesson Outline
7-3 Multiplying Special Cases – We practiced determining the square of a binomial and finding the sum and difference of two squares. Next we practiced solving real-world problems involving the square of a binomial. Then we took a quiz on 7-1 and 7-2.
Assignment: Complete the assigned problems for homework.
Session Minutes
45
Minutes Student Attended
45
Session Date
Lesson Topic
Topic 7 Polynomials and Factoring
Lesson Outline
7-3 Multiplying Special Cases – We learned that the product of the square of a binomial in the form (a + b) squared is always the square of the first term plus twice the product of the first and last terms plus the square of the last term. The product of a sum and a difference of two binomials in the form (a + b)(a – b) is always the difference of the two squares.
Assignment: Complete the assigned problems for homework.
Session Minutes
45
Minutes Student Attended
45
Session Date
Lesson Topic
Parabolas
Lesson Outline
We will study the different forms for the equation of a parabola and what each mean. We will Duiscuss the vertex, focus, direction and applications of parabolas.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the parabola study for now and we will move on the third degree polynomials.
Session Date
Lesson Topic
Topic 7 Polynomials and Factoring
Lesson Outline
7-2 Multiplying Polynomials – We learned that polynomials can be multiplied by applying the Distributive Property or by using a table. They form a system similar to integers. Polynomials are closed under multiplication. Next we took a quiz on 7-1. We practiced using the distributive property with polynomials to solve word problems. We used a table and an area model.
Assignment: Complete the assigned problems for homework.
Session Minutes
45
Minutes Student Attended
45
Session Date
Lesson Topic
Parabolas
Lesson Outline
We will identify characteristics of a parabola. These include: the vertex, axis of symmetry, direction, maximum or minimum, and width. We will also study applications of the parabola and parabolas as a conic section.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the study of a parabola. We had a great discussion about the applications, in particular about the reflective properties of parabolas.
Session Date
Lesson Topic
Topic 7 Polynomials and Factoring
Lesson Outline
7-1 Adding and Subtracting Polynomials – We practiced identifying the degree and number of terms of a polynomial. Then we practiced writing a polynomial in standard form. Next we practiced adding and subtracting two polynomials
Session Minutes
45
Minutes Student Attended
45
Session Date
Lesson Topic
Polynomials
Lesson Outline
We will look at properties of polynomials. We will start with tables and graphs. We will then look at equations and their solutions.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We were able to do multiple tables and graphs and we began solving equations.