Lesson Plans – Algebra I 9/09/13 – 9/13/13 Day Monday Objective Solve equations in one variable that contain variable terms on both sides by graphing. Plan Students will: (Section 1.5) - Split into groups and go over answers within each group. Group 1: Students working on integers will form a group with me to review notes on adding/subtracting integers and go over homework answers. Group 2: Students will work in pairs to check answers on their homework worksheet which covered example problems from section 1.5. - Whole class will work on solving equations by graphing using the graphing calculator. Students will graph each side of the equation in their calculator and sketch the picture of the graph on their worksheet. The x-value of the intersection is the solution to the equation. Homework Pg 51 #8 – 19 All, 30,36, 37 Tuesday Solve equations in one variable that contain absolute value. Students will: (Section 1.7) - Go over homework as a whole class. - Review the concept of absolute value by working through the first part of the notes with a partner. - Take notes as a whole class on absolute value equations and the number of solutions that are possible and why. - Practice example absolute value equations and summarize by writing the steps involved to solving absolute value equations. Pg 57 #4 – 12 All, 23 – 28 All Wednesday Solve equations in one variable that contain absolute value. Students will: (Section 1.7) - Go over homework as a whole class. - Take notes on how to set up and solve word problems that involve absolute value equations. - Work in groups to complete a Pass the Problem activity. Each pair of students will work on a different absolute value word problem. Once the pairs are finished, students will rotate problems. We will do this until class is over. Pg 57 #30 – 42 All Thursday Review solving equations with variables on both sides and absolute value equations. Students will: (Section 1.5 and 1.7) - Go over homework as a whole class. - Review in two groups: Group 1: Students will review how to solve equations with variables on both sides. Group 2: Students will review how to solve absolute value equations. - Students will work in pairs in each group. Students will self-select which group they want to work on based on which topic they are struggling with the most. - I will walk around and monitor the progress of each pair of students and answer questions where needed. Review Worksheet Friday Take assessment on solving equations with variables on both sides and absolute value equations. Students will: - Go over homework as a whole class - Take quiz on sections 1.5 and 1.7 No homework Lesson Plans – Precalculus 9/09/13 – 9/13/13 Day Monday Objective Solve systems of equations involving distance, rate and time problems. Plan Students will: - Go over homework as a whole class - Work in pairs to solve word problems involving distance, rate and time problems using a system of equations. Homework Worksheet – Complete the odd numbered problems. Tuesday Solve linear equations graphically using an xintercept approach. Students will: - Go over homework as a whole class. - As a whole class we will review how to solve linear equations graphically by writing each side of the equation as two separate equations, graphing the two lines and then finding the point of intersection using the graphing calculator. - We will then discuss another method to solving linear equations graphically: To prepare for solving polynomial equations graphically, I will have students solve each linear equation by rewriting the equation so that it is set equal to zero. I will then emphasize that we are looking for the root or zero or solution to the equation. This means we are trying to find the x intercept of the equation. Worksheet Wednesday Solve linear inequalities Students will: algebraically and graphically - Go over homework as a whole class. using an x-intercept approach. - As a whole class we will review how to solve linear inequalities algebraically by reviewing properties of inequalities. We will write the solution set using interval notation. - We will then discuss a method to solving linear inequalities graphically: I will have students solve each linear equality by rewriting the inequality so that it is greater than or less than zero. I will then emphasize that we are looking for the solution set containing the x-intercept. Worksheet Thursday Students will review solving linear equations and systems of equations and linear inequalities. Review worksheet – Complete the even numbered problems from the previous night’s homework and review worksheet Students will: - Review in preparation for a quiz on Wednesday: Solving linear equations whose solutions may be a single value, infinite solutions or no solution. Solving linear equations where students must first multiply through by an LCD. Solving a system of linear equations by first defining variables, setting up a system of equations and using the substitution, elimination or matrix method to solve the system. Some systems may involve distance, rate and time problems. Solving linear inequalities algebraically and graphically. Friday Students will be assessed on solving linear equations and systems of linear equations. Students will: - Take a quiz on solving linear equations and systems of linear equations. No Homework