Weekly Lesson Plan Teacher: Jones Week of School: 5 (Spring) Course: Pre-Cal/Pre-Cal Pre-AP Dates: February 3-7 Standards: PC.1A Describe parent functions symbolically and graphically, including f(x) = xn, f(x) = ln x, f(x) = loga x, f(x) = 1/x, f(x) = ex, f(x) = |x|, f(x) = ax, f(x) = sin x, f(x) = arcsin x, etc. PC.2A Apply basic transformations, including a • f(x), f(x) + d, f(x - c), f(b • x), and compositions with absolute value functions, including |f(x)|, and f(|x|), to the parent functions. PC.1B Determine the domain and range of functions using graphs, tables, and symbols, and relate to real-world applications. PC.1E Investigate the concepts of continuity, end behavior, asymptotes, and limits and connect these characteristics to functions represented graphically and numerically. Academic Vocabulary: Asymptote Rational function Continuity Degree of expression End behavior Restriction Attached Assessments: None HISD Pacing: 3 days behind Monday February 3, 2014: Focus: Students come into the classroom. They will use their ESPE form to complete a SAT question. Objectives: Students will be able to: Simplifying rational expressions Multiplying and dividing rational expressions Guided and Independent Practice: Part 1: Review how to simplify rational expression by factoring out the numerator and denominator and crossing out common factors. Review how to find asymptotes and x-intercepts. Practice multiplying and dividing rational expressions. Make connections with rational functions and fractions. Go through examples with students that show all the different concepts. I will use the method, I do- We do- You do. Part 2: Students will be given a quiz with 4 questions. Assess Mastery Higher Order Thinking: Why are the domain and range of a rational function affected by restrictions caused by asymptotes? Why would factoring the denominator be an important first step in determining the vertical asymptotes and holes in a graph of a rational function? Homework: CP: 8-2 Practice B #1-12 (evens) PAP: 8-2 Practice B #1-12 (ALL) Tuesday February 4, 2014: Focus: Students come into the classroom. They will use their ESPE form to complete a SAT question. Objectives: Students will be able to: Adding and Subtracting rational expressions Guided and Independent Practice: Part 1: Review the concept of adding and subtracting fractions that were learned in middle school. This concept applies to rational expression. You now have polynomials as numerators and denominators instead. Have students practice rewriting numerators and denominators in factored form and find common denominators. I will give students a rational function, and they will show the steps on white boards. Assess Mastery Higher Order Thinking: What is common between adding and subtracting rational functions and fractions? What is the only difference between adding and subtracting rational functions and fractions? Homework: CP: 8-3 Practice B #1-10 PAP: 8-3 Practice B #1-10/Practice C #1-6 Wednesday February 5, 2014: Focus: Students come into the classroom. They will use their ESPE form to complete a SAT question. Objectives: Students will be able to: Students will practice adding, subtracting, multiplying, and dividing rational expressions. Guided and Independent Practice: Part 1: Students will work on practicing adding, subtracting, multiplying, and dividing rational expressions. They will need to make connections between all 4. They will be given a worksheet to finish by the end of the period. Assess Mastery Higher Order Thinking: (None) Homework: CP: 8-3 Practice B #1-10 PAP: 8-3 Practice B #1-10/Practice C #1-6 Thursday February 6, 2014: Focus: Students come into the classroom. They will use their ESPE form to complete a SAT question. Objectives: Students will be able to: Identify the horizontal and vertical asymptotes of a rational functions Guided and Independent Practice: Part 1: Walk through the steps of graphing rational functions. Finding the horizontal and vertical asymptotes of a rational function is an important part of this process. Show an example of how to graph by walking through the 7 steps to graph. Part 2: As we walk through the examples, I will call on students to come up an preform the step from the class. Assess Mastery Higher Order Thinking: How do you find the vertical and horizontal asymptotes? What affect do these on have the domain and range? Homework: CP: Finding asymptotes #1-6, 10-15, &16-22 (evens) Pre-AP: Finding asymptotes #1-6, &10-22 (all) Friday February 7, 2014: Focus: Students come into the classroom. They will use their ESPE form to complete a SAT question. Objectives: Students will be able to: Identify the horizontal and vertical asymptotes of a rational functions Guided and Independent Practice: Part 1: Have students discover the 3 cases of horizontal asymptotes. Students will work with their partner to graph and analyze the 3 cases of HA. Part 2: Students will work with their partners to finish the packet horizontal asymptotes. It will be turned in by the end of the period. Assess Mastery Higher Order Thinking: How do you find the vertical and horizontal asymptotes? What affect do these on have the domain and range? Homework: CP: 8-4 Practice B #1-4 Pre-AP: 8-4 Practice B #1-4