We are continuing our study of magic squares by considering ways to create a magic square. We will study unique combinations that produce the same row and column totals, but are not a row or column.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We related creating a magic square to solving a Rubik's cube.
9-5 Completing the Square – We reviewed that Completing the square is a method that is used for converting a quadratic expression of the form ax2 + bx + c to the vertex form a(x - h)2 + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)2 + n, such that the left side is a perfect square trinomial. Completing the square method is useful in:
• Converting a quadratic expression into vertex form.
• Analyzing at which point the quadratic expression has minimum/maximum value.
• Graphing a quadratic function.
• Solving a quadratic equation.
• Deriving the quadratic formula.
A magic square is a set of numbers inside a square that are arranged so that the sum of every row, column, nd diagonal is the same. We identified examples and determined methods to rearrange a square and preserve its properties.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a good discussion of magic squares. Cam was able to do the rearrangements that preserve the properties.
9-4 Solving Quadratic Equations Using Square Roots – We learned that when the quadratic equation is in the form ax2 + bx = c, it can be solved by isolating the ax2 term, simplifying to remove the coefficients, and then taking the square root of each side of the equation. We practiced several of these types of problems where we take the square root and have two possible solutions. Next, we reviewed completing the square to find the answers to a quadratic equation that is not able to be factored.
Assignment: Complete the assigned problems for homework.
Tutoring for Algebra 1 E.O.C. Exam: Numerous practice problems and methods/strategies discussed with student connected with the Algebra E.O.C. Test Practice packet provided.
Assignment
None
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
James worked diligently and productively with me during today's review tutoring session for the Algebra 1 E.O.C. Exam.
We will review the terminology associated with inequalities. We will do numerical examples. We will also do some number line graphs and some solving and graphing.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The session was completed as written in the outline. We will do problem solving with inequalities tomorrow.
We will graph functions and create tables showing function values. We will solve problems using functions. A variety of examples will be done in class.