Linear equation Lesson Plan Applied II Math CBA At CedarBridge Academy where excellence is valued, we cultivate Bermuda's achievers CedarBridge Academy Lesson Plan for Student Achievement Teacher: Damyon Ray Department: Mathematics Date: Sept 30th – Oct 1st, 2010 Course: Integrated Math II Unit: Number Sense Topic: Radicals 1. What is the curriculum standard? Students will be able to simplify radicals and solve radical equations. What do I want students to know (content & concepts) and be able to do (skills) by the end of the lesson? (Objectives) LESSON 1: Students will be able to simplify different types of radicals, ranging from square roots to nth root radicals. LESSON 2: Students will be able to solve radical equations and inequalities.. 2. How will I formatively assess students’ knowledge of content, concepts and skills? Students will be formatively assessed daily with mis-conception checks and homework on the perspective lesson. Students will also be assessed with Questioning and answering sessions, and reviewing of class work related to the lesson. 3. How will I summatively assess students’ level of mastery of the content, concepts and skills? Students will be given a cumulative assessment at the end of the unit. 4. Describe the sequences of events in the lesson. (Focus on a high level of student engagement and remember to ask yourself if you have included the (1) DNA; (2) Motivate and Activate; (3) Opportunity for movement; (4) Reading &Writing; (5) Review; (6) How students will get written information on the content, concepts and skills; (7) Checks for understanding; (8) Gender activities (9)Technology and (10) Closure activity.) 1 Linear equation Lesson Plan Applied II Math CBA LESSON 1 simplifying Radicals 1) DO NOW Find the square root of 49 and 50. Discuss solution to DO NOW: 7 and 5√2 2) MOTIVATE AND ACTIVATE Brief discussion on properties of rational exponents. Remind students. o To simplify use the properties for radical notation (Ex. 2, p. 407). o To put in simplest form, factor out/make a perfect power. o That two radical expressions are like radicals if they have the same index and radicand. o Show students how to write nth roots. 3) GUIDED PRACTICE The teacher, then the teacher and students, will solve sample problems using VIP (visual instruction plans). 4) INDEPENDENT PRACTICE Students will solve problems and also come to the Promethean Board. 5) MOBILITY Students will come to the promethean board to show correct solutions to the worked examples. 6) READING AND WRITING N/A 7) GENDER ACTIVITIES N/A 8) TECHNOLOGY Teacher and Students will do demonstration on the Promethean Board. 9) CLOSURE & REVIEW Review the steps involved when removing brackets and collecting like terms. 2 Linear equation Lesson Plan Applied II Math CBA LESSON 2 Solve two step linear equations 1) DO NOW Solve 1. 4x = 12; 2. 3x – 4 = 8. Discuss solution to DO NOW : 1. x = 3; 2. x = 4 2) MOTIVATE AND ACTIVATE Remind students: 1. when terms move across the equal sign they change signs: -4 = becomes +4 2. when solving a linear equation work backwards +,-, x, ÷ 3) GUIDED PRACTICE Teacher will first demonstrate solving two step Linear equations. Teacher and Students together will solve the two step equations. 4) INDEPENDENT PRACTICE Students will solve two step equations on their own. 5) MOBILITY Students will come to the board to how they solve the problems. 6) READING AND WRITING Students will be given word problems to complete. 7) GENDER ACTIVITIES Gender grouping. 8) TECHNOLOGY Teacher and Students will do demonstration on the Promethean Board. 9) CLOSURE & REVIEW Review steps involved for solving two step linear equations. 3 Linear equation Lesson Plan Applied II Math CBA LESSON 3 solving linear equations with variables on both sides & fractions 1) DO NOW Find the value for x given 2x – 3 = x + 7 Discuss solution to the Do Now (x = 10) 2) MOTIVATE AND ACTIVATE Remind students: 1. That the term outside the bracket multiplies each term inside the bracket. 2. When a variable moves across the equal sign it changes signs 3. when dealing with two or more fractions ones must multiply each term by the lowest common demoninator. 3) GUIDED PRACTICE Teacher will first demonstrate solving Linear equations with variables on both sides. (AQA Higher Linear 1 Pg. 215-216 Teacher and Students together will solve the equations. 4) INDEPENDENT PRACTICE In gender groups of 3, students will be given a menu of problems to solve. Assignment - book AQA Higher Linear 1 pg. 216 Assess 1-4 (choice of one from each question) 5) MOBILITY Students will write their solutions on the Promethean board. 6) READING AND WRITING 7) GENDER ACTIVITIES Gender grouping. 8) TECHNOLOGY Teacher and Students will do demonstrations on the Promethean Board. 9) CLOSURE & REVIEW Review the steps involved when solving linear equations with variables on both sides. LESSON 4 solve and graph linear equations 1) DO NOW Find the value for x given 3(x – 3) = 2(x + 7) 4 Linear equation Lesson Plan Applied II Math CBA Discuss solution to the Do Now (x = 23) 2) MOTIVATE AND ACTIVATE Show a video from “You tube” demonstrating plotting a linear graph. 3) GUIDED PRACTICE Teacher will demonstrate, using the Promethean board, how to graph a linear graph. Students will correctly label an axis on graphing paper then plot a sample graph. 4) INDEPENDENT PRACTICE In groups of 4, students solve and plot two linear equations 5) MOBILITY n/a 6) READING AND WRITING 7) GENDER ACTIVITIES Gender grouping. 8) TECHNOLOGY Teacher and Students will do demonstration on the Promethean Board. 9) CLOSURE & REVIEW Review the steps involved for plotting a linear graph. 10) What homework assignment will I give to students? LESSON 1: Simplifying expression Students will be given 10 problems to simplify. 5 Linear equation Lesson Plan Applied II Math CBA LESSON 2: Solving two step equations Student will have to create and solve a word problem using linear equations. LESSON 3: Solving equations with variables on both sides Student will be given 10 problems to solve. LESSON 4: Graphing linear equations Students will have to solve and accurately graph the solution to a problem. 11) Reflections: (If someone was observing my class to give me ideas for improving teaching the lesson, what would I want him or her to focus on during the lesson?) Introduce lesson effectively Did the students remain on-task for the duration of the lesson? Was the opportunity provided for movement during the lesson? Did the gender activity assist the male students? Was opportunity for reading and writing during the lesson? Was the closure meaningful? 6