We will identify the sets of numbers that make up the real numbers. These include the integers, rationals, and irrationals. We will look at decimals and fractions as two forms of rational numbers and square roots as a type of irrational numbers. We will do arithmetic for irrational numbers. We will also prove that 0.999999999... is equal to 1.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed every thing in our lesson for today, We are reviewing chapter 2 in the textbook. Cam recognizes some of the things we are working on, but others we will need to spend more time on until he does understand. He has been very cooperative this week, but he does need more work on these basic topics to be successful in the topics that follow,
We will use a graphing calculator to solve systems of equations. We will focus on writing the system properly so that the calculator can use the input correctly. We will do two matrix methods using examples that will require writing the systems in the proper syntax.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
David did very well with this lesson. He understands that he must know how to prepare the equations for the calculator, and then let the calculator do the arithmetic.
7-6 Factoring ax2 + bx + c – We learned how to factor a trinomial algebraic expression in the form ax2 + bx + c when the coefficient a is not equal to one.
Assignment: We completed the assigned problems for homework together.
Solve a system using a matrix. Also the last of the MAP testing will be completed.
Lesson Outline
We will solve systems using the row-reduction method. We will use row operations on the matrix until we find the solution. We will also use the row-reduction method with back substitution.
Assignment
none
Session Minutes
165
Minutes Student Attended
165
Lesson Comments
MAP testing was completed today from 9 AM until 11AM.
In our daily session we solved a system using both form of the row-reduction method. We also discussed how technology can be used to do this method because it is algorithmic. Graphing calculators can solve problems this way, but only if the matrix is set up correctly by the student.
We studied linear functions following the rule of four. We created a table, drew a graph, wrote the function in symbols, and stated the function verbally. We also began our work on equation solving.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Cam was able to show understanding of both topics.
Today we will solve word problems involving systems of equations. Two equations will need to be written from the statements given A method of solving the system will need to be chosen to complete the solution of the problem. Examples will be discussed.
Assignment
none
Session Minutes
165
Minutes Student Attended
165
Lesson Comments
David completed the Math portion of the MAP testing (2 hours). We also completed the 45 minute session on systems of equations.
We are continuing our review of previous concepts. We will study solving equations and the concept of a function. We will also discuss accuracy and precision of measurements. Examples will be discussed.
Assignment
none
Session Minutes
45
Minutes Student Attended
30
Lesson Comments
We completed our review of the topics in the lesson. I quiz Cam on his understanding to be sure he is ready to move into more challenging work. He has demonstrated understanding in the topics we have considered.
