We will do examples of problem solving involving percents, consecutive integers, and rates. We will discuss methods that are step-by-step and methods that are more open ended.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did examples from an algebra textbook. We discussed the process of solving problems step-by-step in science. We also discussed mathematical modeling although we did not have time to do an example.
Topic 4 Systems of Linear Equations and Inequalities
Lesson Outline
4-3 Solving Systems of Equations by Elimination – We learned that elimination is an alternate method for solving systems of equations when it is not easy to use substitution. We multiplied one or both equations by a constant to get like coefficients that are opposite integers to use elimination.
Assignment: For homework complete assigned problems.
We will practice solving problems using a step-by-step method. We will do several types of problems including problems from geometry, finance, and physics.
Topic 4 Systems of Linear Equations and Inequalities
Lesson Outline
We reviewed for a test on Lessons 4-1 Solving Systems of Equations by Graphing and 4-2 Solving Systems of Equations by Substitution.
Assignment: For homework complete assigned problems.
We will move from solving linear equations to solving problems that require linear equations. We will list the guidelines for solving problems and then do examples from geometry.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The formal work in problem solving went well today. This topic will take time to learn and much practice. David is a good thinker and reasoner which will help him in this topic. I saw evidence of his ability today.
Topic 4 Systems of Linear Equations and Inequalities
Lesson Outline
4-2 Solving Systems of Equations by Substitution – We practiced using the substitution method to solve systems of equations and we completed the homework from last night. We were able to represent situations of systems of equations and interpret solutions as viable/nonviable options for the situation.
Assignment: For homework complete assigned problems.
We will graph parabolas to determine how changes in parameters transform the graph of y = x^2. We will also look at the graph of y = x^3. We will compare tables of values for y = x, y = x^2 and y = x^3.
Assignment
None
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed our study of parabolas and began our study of cubic functions.
Topic 4 Systems of Linear Equations and Inequalities
Lesson Outline
4-2 Solving Systems of Equations by Substitution – We learned that substitution is one method for solving systems of equations. The process involves solving one equation for a variable and substituting the solution into the system’s other equation. This results in an equation in one variable. When you have one of the variables you can solve for the other variable by substituting it into one of the original equations in the system.
Assignment: For homework complete assigned problems.
We will work through the review sheet that David completed on Friday.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Most of the class time was used for the Fire Safety Presentation by the Palm Beach County Firemen. It was an excellent presentation. We did have time to discuss part of the review sheet.