Discuss formal equation solving and intuitive equation solving. Show examples of each and have David do examples of each. There will be a quiz at the end of class today.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
There was some time taken in class for instruction on safety drills. We did complete the lesson plan and David got 100% on the quiz.
1-7 Absolute Value Equations and Inequalities – We learned to solve equations and inequalities that involve absolute value. Then we used equations and inequalities that involve absolute value to solve problems. We learned that the solution to an absolute value equation either has two solutions, one positive and one negative, or there is no value of x that makes the absolute value equation true. We discovered that the solution to an absolute value inequality is a compound inequality that uses or or and. Then we reviewed for a test on Solving Equations and Inequalities.
We will review simplifying and evaluating expressions. This will lead into solving linear equations. We will develop an algorithm to solve a linear equation and then do practice problems using the algorithm.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The lesson was completed. We will move on to more difficult linear equations in the next class.
1-6 Compound Inequalities– We learned how to create and solve the system of inequalities. Then we practiced interpreting the solution to a compound inequality within a modeling context. Next we learned that a compound inequality is a combination of two or more inequalities used to describe multiple constraints. We solved compound inequalities and interpreted the solutions as viable or nonviable options within a modeling context.
Assignment: For homework complete assigned problems.
Show examples of expressions that were studied last year. Expand the examples to more complex expressions that contain exponents. Simplify the expressions when needed and do examples. Evaluating expressions was also a part of the lesson and examples will be done in class. The importance of expressions in formulas for science classes will also be presented..
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We compiled the lesson as planned. David expanded his understanding of expressions.
We reviewed solving Equations with a Variable on Both Sides and solving Literal Equations.
1-5 Solving Inequalities in One Variable – We learned that the solution to an inequality in one variable is solved by using the properties of inequalities. Then we learned how to solve inequalities with only variables.
Assignment: For homework complete assigned problems.
1-4 Literal Equations and Formulas – We worked through solving several literal equations as well as formulas. We reviewed the steps for solving literal equations by isolating a given variable through inverse operations, properties of equality, and reverse order of operations.
We reviewed the basic rules of arithmetic and the commutative, associative, and distributive laws. We wrote step-by-step algorithms that use the rules and laws and then changed the to symbolic expressions. We did examples and then David created an example to demonstrate his understanding of the concepts.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The lesson was completed successfully. David demonstrated understanding of algorithms.
1-4 Literal Equations and Formulas – We learned that literal equations are equations with two or more variables. They are solved by rewriting the equation to highlight the variable of interest. Next, we learned to use formulas and equations to solve problems.
Assignment: For homework complete assigned problems.
Review order of operations, grouping symbols, the division and square root algorithms, and solving equations. Do examples of these topics and have David participate in the examples. A short quiz will also be given at the end of class.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
The lesson was completed. David scored 100% on the quiz which demonstrated his understanding of the topics studied.