LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 1 Chapter 10: Plans, Elevations and Bearings Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pages 169 - 186 Draw front, side and plan elevation of a given object Date: Introduction: 5 Minutes Content Introducing front, side and plan elevation Development: Drawing front, side and 30 Minutes plan elevation Teacher activities Lead the discussion on the rationale of elevations; how architects, building engineers, pilots, etc. use the concept to make accurate and informed decisions. Explain the words plan, front and side elevation. Use the example on p. 170 in the SB to demonstrate the drawing of front, side and plan elevations. Student activities The students respond to the teacher’s questions. Students observe the demonstrations of drawing elevations. Work on Support Activity 10.1 on p. 173 in the SB. Conclusion: 5 Minutes Total Duration: 40 Minutes Summarising the lesson Guide the students as they work on Support Activity 10.1 on p. 173 in the SB. Ask students what they have learned. Assessment Revision exercise questions 1 and 3 on p. 173 in the SB. Do Exercise 10.1 on p. 173 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity on p. 175 in the SB. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 2 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 1 Chapter 10: Plans, Elevations and Bearing Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 169 - 186 Find a point’s position using direction/bearings, 15 cm ruler distances and/or angles in a given journey Protractor Graph pad Date: Content Teacher activities Student activities Introduction: Introducing directions and Lead the discussion on The students respond to the teacher’s questions. 5 Minutes bearings cardinal points and intermediate points. Lead the discussion on the rationale of bearings. Development: Finding a point’s position Use example on p. 176 in the Students observe the demonstrations of drawing 30 Minutes using directions/bearings SB to demonstrate how to elevations. find a point’s position using bearings. They work on Activity 10.3 on p. 176 in the SB. Guide the students as they work on Activity 10.3 on p. Students do Exercise 10.2 on p. 177 in the SB. 176 in the SB. Conclusion: Summarising the lesson Ask students what they have Respond to the teacher’s questions on what they 5 Minutes learned. have learned. Total Assessment Assignments/Expanded opportunities Duration: Revision exercise questions 1 (a), (b) 2 (a), (c), (f) and 4 (a), Activity on p. 178 in the SB. 40 Minutes (c), (e) on p. 173 in the SB. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 3 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 1 Chapter 10: Plans, Elevations and Bearings Teacher: Class: LESSON 3 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 169 - 186 Find a point’s position using direction/bearings, 15 cm ruler distances and/or angles in a given journey Protractor Graph pad Date: Content Teacher activities Student activities Introduction: Recapping the Lead the discussion on a The students respond to the teacher’s questions. 5 Minutes Pythagorean theorem simple problem involving the and trigonometry Pythagorean theorem and Take short notes. trigonometry. Introducing angle of elevation and depression Describe the angle of elevation and depression using Activity 10.5 on p. 180 in the SB. Development: Using Pythagorean Lead the discussion on solving Discuss example on p. 181 in the SB with the teacher. 30 Minutes theorem and problems involving bearings, trigonometry to solve angle of elevation and angle Work on Activity 10.6 on p. 181 in the SB. problems involving angle of depression using Example of elevation, angle of on p. 181 in the SB. Do Exercise 10.3 on p. 182 in the SB. depression and bearings Guide the students as they work on Activity 10.6 on p. 181 in the SB. Conclusion: Summarising the lesson Ask students what they have Respond to the teacher’s questions on what they have 5 Minutes learned. learned. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 4 Total Duration: 40 Minutes Assessment Revision exercise questions 1 and 3 on p. 182 in the SB. Assignments/Expanded opportunities Activity 10.2 on p. 183 in the SB. LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 1 Chapter 10: Plans, Elevations and Bearings Teacher: Class: LESSON 4 Learning Objectives Resources/Learning Aids/LTSM End of topic test covering: Exploring Mathematics Form 3 PB pp. 169 - 186 15 cm ruler Draw front, side and plan elevations of a given object Protractors Find a point’s position using direction/bearings, distances and or angles in a given journey Use Pythagorean theorem and trigonometric ratios to solve problems involving angle of elevation, angle of depression and bearings Date: Content Teacher activities Student activities Introduction: Information on how to Inform students how end of Prepare required aids for tackling a revision exercise. 5 Minutes approach the Revision topic exercise will be exercise administered. Development: 30 Minutes Administering End of topic Revision exercise Guide students as they work on end of topic test; Revision Exercise on p. 184 in the SB. Ask students what they have learned during the exercise. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise (all questions) on p. 184 in the SB Students work on the Revision Exercise on p. 184 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 10.2 on p. 183 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 5 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 2 Chapter 11: Transformation Geometry Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 187 - 206 Revising transformations 15 cm ruler Protractor Set square Graph pad Date: Content Teacher activities Student Activities Introduction: Recapping transformation Lead the discussion on the The students respond to the teacher’s questions. 5 Minutes geometry learned from type of transformations the Form 2 syllabus students already know. Development: 30 Minutes Conclusion: 5 Minutes Revising all aspects of transformation geometry Summarising the lesson Give examples of transformations by drawing diagrams on a Cartesian plane and ask students to identify them in Activity 11.1 in the SB on p. 188. Guide students as they discuss the example on p. 190 of the SB in pairs. Ask students what they have learned. Correct misconceptions in They discuss Activity 11.1 on p. 188 in the SB with the teacher. Work through the example on p. 190 in the SB in pairs. Do Exercise 11.1 on p. 191 in the SB. Respond to the teacher’s questions on what they have learned. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 6 relation to transformations Total Duration: 40 Minutes Assessment Revision exercise questions 1, 2 and 3 on p. 191 in the SB Assignments/Expanded opportunities Activity on p. 191 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 2 Chapter 11: Transformation Geometry Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3PB pp. 187 - 206 Draws combined transformations up to three different 15 cm ruler types Protractor Set square Graph pad Date: Content Teacher activities Student activities Introduction: Introducing combined Lead the discussion by The students respond to the teacher’s questions. 5 Minutes transformations recapping single transformations. Development: Drawing combined Lead students through Discuss Example on p. 192 in the SB with the teacher. 30 Minutes transformations – up to discussion of the example on three different types p. 192 in the SB. Work on Activity 11.3 on p. 193 in the SB in groups. Guide students as they work on Activity 11.3 on p. 193 in the SB in groups. Ask students what they have learned. Correct misconceptions in relation to transformations. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise questions 1 and 3 on p. 193 in the SB Do Exercise 11.2 on p. 193 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 11.2 p. 192 Question 4 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 7 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 2 Chapter 11: Transformation Geometry Teacher: Class: LESSON 3 Learning Objective Resources/Learning Aids/LTSM Identifying and describing combined transformations up Exploring Mathematics Form 3 PB pp. 187 - 206 15 cm ruler to three different types Protractor Set square Graph pad Date: Content Teacher activities Student activities Introduction: Introducing identification Lead the discussion on The students respond to the teacher’s questions. 5 Minutes and description of combined transformations combined transformations that students already know. Development: 30 Minutes Identifying and describing combined transformations up to three different types Lead and guide students as they work on Support Activity 11.1 on p. 195 in the SB in groups. Ask students what they have learned. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise question 1 on p. 193 in the SB Work on Support Activity 11.1 on p. 195 in the SB in groups. Do Exercise 11.3 on p. 195 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 11.1 p. 196 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 8 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 2 Chapter 11:: Transformation Geometry Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form3 PB pp. 187 - 206 Solve problems involving combined transformations 15 cm ruler Protractor Set square Graph pad Date: Content Teacher activities Student Activities Introduction: Introducing solving Lead the discussion on The students respond to the teacher’s questions. 5 Minutes problems involving combined transformations combined transformations that students already know. Development: 30 Minutes Solving problems involving combined transformations Lead and guide students as they work on Activity 11.4 on p. 197 in the SB in groups. Ask students what they have learned. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise question 1 on p. 197 in the SB Work on Activity 11.4 on p. 197 in the SB in groups. Do Exercise 11.4 on p. 197 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity on p. 199 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 9 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 2 Chapter 11:: Transformation Geometry Teacher: Class: LESSON 5 Learning Objectives Resources/Learning Aids/LTSM End of topic test covering: Exploring Mathematics Form 3 PB pp. 187 - 206 15 cm ruler Draw combined transformations up to three different Protractor types Set square Identify and describe fully combined transformations Graph pad involving up to three different types Solve problems involving combined transformations Date: Content Teacher activities Student activities Introduction: Information on how a Inform students how end of Prepares required aids for tackling a revision exercise. 5 Minutes Revision exercise shall be topic exercise will be administered. administered. Development: 30 Minutes Administering End of topic Revision exercise Guide students as they work on end of topic test; Revision Exercise on p. 202 in the SB. Ask students what they have learned during the exercise. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 202 in the SB Students work on Revision Exercise on p. 202 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity on p. 201 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 10 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 3 Chapter 12: Area and Perimeter Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 207 - 224 Revise formulae for calculating perimeter and area of 15 cm ruler different shapes Protractor Set square Date: Content Teacher activities Student activities Introduction: Introducing revision of Lead the discussion on listing The students respond to the teacher’s questions. 5 Minutes formulae for perimeter and formulae for calculating area area of different shapes and perimeter of different shapes that students already know. Development: 30 Minutes Revising formulae for calculating perimeter and area of different shapes Check how well the students know the formulae by guiding them as they work in pairs on Support Activity 12.1 p. 209 in the SB. Ask students what they have learned. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise question 1 on p. 210 in the SB. Chapter 12: Area and Perimeter Work on Activity 12.1 on p. 209 in the SB. Do Exercise 12.1 on p. 210 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Continue with Exercise 12.1 question 2 on p. 210 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 3 Teacher: Class: © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 11 LESSON 2 Learning Objective Solve problems involving practical applications of ratio on area and perimeter of two-dimensional shapes Date: Introduction: 5 Minutes Content Introducing practical applications of ratio on area and perimeter Teacher activities Lead the discussion on listing properties of similar shapes that students already know. Development: 30 Minutes Solving practical applications of ratio on area and perimeter Facilitate and guide the students as they work on Investigation on p. 211 in the SB. Students investigate the practical application of ratio on area and perimeter in the Investigation on p. 211 in the SB. Discuss with students the findings of the activity. They do Exercise 12.2 on p. 215 in the SB. Demonstrate application of ratio on perimeter and area more by working through the examples on p. 211 and the p. 212 in the SB. Ask students what they have learned. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise question 2 on p. 215 in the SB Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 207 - 224 15 cm ruler Protractor Set square Student Activities The students respond to the teacher’s questions. Students discuss the Examples on p. 211 and 212. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Continue with Exercise 12.2 question 3 and 4 on p. 210 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 12 TERM 2 WEEK 3 Chapter 12: Area and Perimeter LESSON 3 Learning Objective Solve problems involving practical application of scale factors of enlargement/reduction on area and perimeter of two dimensional shapes Date: Introduction: 5 Minutes Content Introducing practical applications of scale factors of enlargement/reduction on area and perimeter Teacher activities Lead the discussion on application of ratio on area and perimeter that students already know. Development: 30 Minutes Solving practical applications of scale factors of enlargement/reduction on area and perimeter Facilitate and guide the students as they work on the Investigation on p. 216 in the SB. Teacher: Class: Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 207 - 224 15 cm ruler Protractor Set square Student activities The students respond to the teacher’s questions. Students investigate the practical application of ratio on area and perimeter as on Investigation on p. 216 in the SB. Discuss Examples on p. 211 and 212. Conclusion: 5 Minutes Summarising the lesson Total Duration: Assessment Discuss with students the findings of the activity. Do Exercise 12.3 on p. 218 in the SB. Demonstrate application of scale factors on perimeter and area more by working through the example on p. 217 in the SB. Ask students what they have learned. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 13 40 Minutes Revision exercise question 2 on p. 218 in the SB Extension Activity 12.4 on p. 219 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 3 Chapter 12: Area and Perimeter Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Topic test covering: Exploring Mathematics Form 3 PB pp. 207 - 224 15 cm ruler Solve problems involving practical applications of ratio Protractor on area and perimeter of two-dimensional shapes Set square Solve problems involving practical application of scale factors of enlargement/reduction on area and perimeter of two dimensional shapes Date: Content Teacher activities Student activities Introduction: Introduction to how a Inform students how end of Prepares required aids for tackling a revision 5 Minutes Revision exercise shall be topic exercise will be exercise. administered. administered. Development: 30 Minutes Administering End of topic Revision exercise Guide students as they work on end of topic test; Revision Exercise on p. 222 in the SB. Ask students what they have learned during the exercise. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 222 in the SB Students work on Revision Exercise on p. 222 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 12.4 on p. 219 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 14 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 4 Chapter 13: Surface Area and Volume Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 225 -240 Solve problems involving practical applications of ratio 15 cm ruler and proportion on surface area and volume of threeProtractor dimensional shapes/objects Set square Date: Content Teacher activities Student activities Introduction: Introducing applications of Lead the discussion on The students respond to the teacher’s questions. 5 Minutes ratio and proportions on calculation of surface area surface area and volume and volume that students already know. Development: 30 Minutes Solving practical applications of ratio and proportion on surface area and volume of threedimensional shapes/objects Lead the students to discover the effect of ratio and proportion on surface area and volume as they work on the Investigation on p. 227 in the SB. Students investigate the application of ratio and proportion on area and volume as per the Investigation on p. 227 in the SB. Discuss Example on p. 228 with the teacher. Do Exercise 13.1 on p. 229 in the SB. Discuss with students the findings of the activity. Conclusion: Summarising the lesson Demonstrate application of ratio and proportion on surface area more by discussing the example on p. 228 in the SB. Ask students what they have Respond to the teacher’s questions on what they © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 15 5 Minutes learned. have learned. Total Duration: 40 Minutes Assessment Assignments/Expanded opportunities Revision exercise question 2 on p. 229 in the SB Exercise 13.2 question 1 & 2 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 4 Chapter 13: Surface Area and Volume Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 225 -240 Solve problems involving practical application of scale 15 cm ruler factors of enlargement/reduction on surface area and Protractor volume of three dimensional shapes Set square Date: Content Teacher activities Student activities Introduction: Introducing practical Lead the discussion on The students respond to the teacher’s questions. 5 Minutes applications of scale factors application of ratio on surface of enlargement/reduction area and volume that on surface area and students already know. volume. Development: 30 Minutes Solving problems involving applications of scale factors of enlargement/reduction on surface area and volume Facilitate and guide the students as they work on the Investigation on p. 232 in the SB. Students investigate the practical application of scale factor on surface area and volume as per the Investigation on p. 232 in the SB. Discuss Examples on p. 232. Discuss with students the findings of the activity. Exercise 13.3 on p. 218 in the SB. Demonstrate application of scale factors on surface area and volume more by discussing the example on p. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 16 232 in the SB. Ask students what they have learned. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise questions 1, 2 and 3 on p. 234 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 13.3 – questions 4-6 on p. 234 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 4 Chapter 13: Surface Area and Volume Teacher: Class: LESSON 3 Learning Objectives Resources/Learning Aids/LTSM End of topic test covering: Exploring Mathematics Form 3 PB pp. 225 -240 15 cm ruler Solve problems involving application of ratio and Protractor proportion on surface area and volume of three Set square dimensional shapes Solve problems involving applications of enlargement/reduction on surface area and volume of three dimensional shapes Date: Content Teacher activities Student activities Introduction: Information on how a Inform students how end of Prepares required aids for tackling a revision 5 Minutes Revision exercise shall be topic exercise will be exercise. administered administered. Development: 30 Minutes Administering End of topic Revision exercise Conclusion: 5 Minutes Summarising the lesson Guide students as they work on end of topic test; Revision Exercise on p. 238 in the SB. Ask students what they have learned during the exercise. Students work on Revision Exercise on p. 238 in the SB. Respond to the teacher’s questions on what they have learned. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 17 Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 238 in the SB Assignments/Expanded opportunities Extension Activity 13.2 on p. 238 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 4 Chapter 14: Travel Graphs Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 241 -264 Draw and interpret displacement-time graphs 15 cm ruler Protractor Set square Date: Content Teacher activities Student Activities Introduction: Introducing displacementLead the discussion by The students respond to the teacher’s questions. 5 Minutes time graphs defining displacement and give a scenario of displacement as in the Introduction on p. 242 in the SB. Development: 30 Minutes Drawing displacement-time graphs Demonstrate and discuss in more detail: Drawing of displacementtime graph Calculating velocity as per the Example on p. 247 in the SB. Discuss Example on p. 247 in the SB with the teacher. Work on Activity 14.1 on p. 248 in the SB in pairs. Facilitate and guide students’ © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 18 activity. Ask students what they have learned. Correct misconceptions in relation to displacement-time graphs Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Activity 14.1 on p. 248 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity 14.1 on p 248 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 4 Chapter 14: Travel Graphs Teacher: Class: LESSON 5 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 241 -264 Solve problems involving displacement-time graphs 15 cm ruler Protractor Set square Date: Content Teacher activities Student activities Introduction: Recapping displacementLead the discussion by asking The students respond to the teacher’s questions. 5 Minutes time graphs students what they remember about displacement-time graphs. Development: 30 Minutes Solving problems involving displacement-time graphs Discuss a problem with students that involves distance time graphs using the Example on p. 250 in the SB. Discuss Example on p. 250 in the SB with the teacher. Work on Activity 14.3 on p. 251 in the SB in pairs. Do Exercise 14.1 on p. 253 in the SB. Facilitate and guide students in the activity. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 19 Conclusion: 5 Minutes Summarising the lesson Ask students what they have learned and what they need clarity on. Total Duration: 40 Minutes Assessment Exercise question 2 on p. 253 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 14.1 question 4 on p 253 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 5 Chapter 14: Travel Graphs Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 241 -264 Draw and interpret velocity-time graphs 15 cm ruler Protractor Set square Date: Content Teacher activities Student activities Introduction: Introducing velocity-time Lead the discussion by asking The students respond to the teacher’s questions. 5 Minutes graphs students what they understand about velocity as they have already learned about it. Development: 30 Minutes Drawing displacement-time graphs Demonstrate and discuss in more detail: Drawing of velocity time graph Calculating acceleration Calculating total displacement as in Example Discuss Example on p. 256 in the SB with the teacher. Work on project on p. 257 in the SB in groups. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 20 on p. 256 in the SB. Facilitate and guide students during group work. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Group project on p. 257 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Continue working on Project on p 257 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 5 Chapter 14: Travel Graphs Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 241 -264 Solve problems involving velocity-time graphs 15 cm ruler Protractor Set square Date: Content Teacher activities Student activities Introduction: Recapping on velocity Lead the discussion by asking The students respond to the teacher’s questions. 5 Minutes time graphs students what they remember about velocitytime graphs as learned in the previous lesson. Development: 30 Minutes Solving problems involving displacement-time graphs Facilitate and guide students as they work on Activity 14.5 on p. 259 in the SB. Students work on Activity 14.5 on p. 259 in the SB with guidance from the teacher. They do Exercise 14.2 on p. 260 in the SB. Discuss the findings of the © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 21 activity with students. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise question 2 on p. 260 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 14.2 on p. 261 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 5 Chapter 14: Travel Graphs Teacher: Class: LESSON 3 Learning Objectives Resources/Learning Aids/LTSM Topic test on: Exploring Mathematics Form 3 PB pp. 241 -264 15 cm ruler Draw and interpret displacement-time graphs Protractor Solve problems involving displacement-time graphs Set square Draw and interpret velocity-velocity time graphs Solve problems involving velocity-velocity time graphs Date: Content Teacher activities Student activities Introduction: Information on how an End Inform students how End of Prepares required aids for tackling a revision 5 Minutes of topic Revision exercise topic Revision exercise will be exercise shall be administered. administered. Development: 30 Minutes Administering End of topic Revision exercise Conclusion: 5 Minutes Summarising the lesson Guide students as they work on end of topic test; Revision Exercise on p. 262 in the SB. Ask students what they have learned during the exercise. Students work on the Revision Exercise on p. 262 in the SB. Respond to the teacher’s questions on what they have learned. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 22 Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 238 in the SB Assignments/Expanded opportunities Expand knowledge by visiting internet site on p. 261 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 5 Chapter 14: : Working with variables Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Expand and/ simplify algebraic expressions Date: Introduction: 5 Minutes Content Introducing expanding and simplifying algebraic expressions Teacher activities Lead the discussion by asking students what they remember about expanding and simplifying expressions with fewer terms and up to degree 2 as learned in prior lessons. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Expanding and simplifying expressions. Use the Examples on p. 267 in the SB to demonstrate to students how to expand and simplify. Students discuss Examples on p. 267 in the SB with the teacher. Do Exercise 15.1 on p. 268 in the SB. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 23 Discuss the findings of the examples with students. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 2 and 3 on p. 260 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 15.1 on p. 268 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 5 Chapter 15: Working with variables Teacher: Class: LESSON 5 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Revise factorising expressions Date: Introduction: 5 Minutes Content Introducing factorisation Development: 30 Minutes Factorising simple expressions Teacher activities Lead the discussion by asking if they still remember factorisation as the reverse of expanding. Use the Examples on p. 270 in the SB to demonstrate factorisation to students. Student activities The students respond to the teacher’s questions. Students discuss Examples on p. 270 in the SB with the teacher. Exercise 15.2 on p. 271 in the SB. Conclusion: 5 Minutes Summarising the lesson Discuss the findings of the examples with students. Ask students what they have learned and what they need Respond to the teacher’s questions on what they have learned. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 24 clarity on. Total Duration: 40 Minutes Assessment Exercise questions 1 and 2 on p. 271 in the SB Assignments/Expanded opportunities Support Activity 15.1 on p. 271 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 25 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 6 Chapter 15: Working with variables Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Add and subtract to express as a single algebraic fraction Exploring Mathematics Form 3 PB pp. 265 - 286 Date: Introduction: 5 Minutes Content Introducing algebraic fractions Teacher activities Lead the discussion by asking students about adding and subtracting ordinary fractions and simple algebraic fractions that students already know. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Expressing algebraic fractions as a single fraction Lead the discussion on expressing algebraic fractions as a single fraction by working on Examples where denominators have a single term as on p. 272 in the SB. Students discuss Examples on p. 272 and 273 in the SB with the teacher. Do Exercise 15.3 on p. 273 in the SB. Demonstrate simplifying algebraic fractions where there are two terms as in the example on p. 273 in the SB. Conclusion: 5 Minutes Summarising the lesson Ask students what they have learned and what they need clarity on. Respond to the teacher’s questions on what they have learned. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 26 Total Duration: 40 Minutes Assessment All Exercise questions on p. 273 in the SB Assignments/Expanded opportunities Support Activity 15.2 on p. 273 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 6 Chapter 15: Working with variables Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Multiply and divide to express as a single algebraic fraction Date: Introduction: 5 Minutes Content Introducing multiplying and dividing algebraic fractions Teacher activities Lead the discussion by multiplying and dividing ordinary fractions and simple algebraic fractions. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Multiplying and dividing algebraic fractions to produce single fractions Lead the discussion on expressing algebraic fractions as a single fraction as per the examples on p. 274 in the SB. Students discuss Examples on p. 274 in the SB with the teacher. Ask students what they have learned and what they need clarity on. Respond to the teacher’s questions on what they have learned. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment All Exercise questions on p. 274 in the SB Do Exercise 15.4 on p. 274 in the SB. Assignments/Expanded opportunities Activity on p. 275 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 27 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 6 Topic 6: Working with variables Teacher: Class: LESSON 3 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Factorising quadratic expressions Date: Introduction: 5 Minutes Content Introducing quadratic expressions Teacher activities Lead the discussion by explaining what quadratic expressions are. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Factorising quadratic expressions with 1 as a coefficient of x2 Demonstrate to students how quadratic expressions are factorised as per a demonstration through examples on p. 276 in the SB. Students discuss Examples on p. 276 and in the SB with the teacher. Explain grouping of like terms together and factorising. Do Exercise 15.5 on p. 274 in the SB. Students work in pairs to rewrite expressions into four terms as in Activity 15.4 on p. 277 in the SB. Guide students as they work on activity 15.4 in pairs. Conclusion: 5 Minutes Summarising the lesson Total Duration: Assessment Ask students what they have learned and what they need clarity on. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Work on examples on p. © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 28 40 Minutes All Exercise questions on p. 277 in the SB 277 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 6 Chapter 15: Working with variables Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Factorising quadratic expressions Date: Introduction: 5 Minutes Content Introducing quadratic expressions with x2 having a coefficient of more than 1 Teacher activities Lead the discussion by asking students on factorising of expressions with x2 having a coefficient of 1 that students already know. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Factorising quadratic expressions with x2 having a coefficient of more than 1 Demonstrate to students how quadratic expressions with x2 with a coefficient more than 1 are factorised as on a demonstration through examples on p. 277 in the SB. Students discuss Examples on p. 277 in the SB with the teacher. Conclusion: 5 Minutes Summarising the lesson Ask students what they have learned and what they need clarity on. Total Duration: 40 Minutes Assessment All Exercise questions on p. 278 in the SB Do Exercise 15.6 on p. 278 in the SB. G Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Work on examples on p. 277 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 29 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 6 Chapter 15: Working with variables Teacher: Class: LESSON 5 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Factorising perfect squares Date: Introduction: 5 Minutes Content Introducing perfect squares Teacher activities Lead the discussion by explaining what perfect squares are. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Factorising perfect squares Lead and guide students as they investigate perfect square quadratic expressions in Activity 15.5 on p. 279 in the SB. Discuss the findings of the activity with students. Students explore by working on Activity 15.5 on p. 279 in the SB with the teacher. Conclusion: 5 Minutes Summarising the lesson Total Duration: Assessment Discuss examples of perfect square with students on p. 280 in the SB. Ask students what they have learned and what they need clarity on. Work on examples on perfect square on p. 280 in the SB. Do Exercise 15.7 on p. 280 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 30 40 Minutes All Exercise questions on p. 280 in the SB Activity 15.6 on p. 281 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 7 Chapter 15: Working with variables Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Factorising the difference of two squares Date: Introduction: 5 Minutes Content Introducing the difference of two squares Teacher activities Lead the discussion by explaining the difference of two squares and demonstrating with examples on p. 282 in the SB. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Factorising the difference of two squares Discuss examples of factorising the difference of two squares as in the examples on p. 282 in the SB. Ask students what they have learned and what they need clarity on. Discuss and ask questions when they work on the examples on p. 282 in the SB. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment All Exercise questions on p. 283 in the SB Do Exercise 15.8 on p. 283 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity 15.6 on p. 281 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 31 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 7 Chapter 15: Working with variables Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 265 - 286 Factorise to simplify fractions Date: Introduction: 5 Minutes Content Introducing factorising to simplify fractions Teacher activities Lead the discussion by asking students about factorising quadratic expressions that students already know. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Factorising to simplify fractions Discuss the examples on p. 284 in the SB; demonstrate simplifying algebraic fractions by first factorising the denominators where possible. Ask students what they have learned and what they need clarity on. Discuss and ask questions when they work on the examples on p. 284 in the SB. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment All Exercise questions on p. 284 in the SB Do Exercise 15.9 on p. 284 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Explore websites with urls shown on p. 284 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 32 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 7 Chapter 15: Working with Variables Teacher: Class: LESSON 3 Learning Objectives Resources/Learning Aids/LTSM Topic test on: Exploring Mathematics Form 3 PB pp. 265 - 286 Expand and or/ simplify algebraic expressions of up to four terms and of degree 3 Express as a single fraction, algebraic fractions with two terms and of degree 3, with both numerator and denominator having two terms Factorise quadratic expressions and include the concept of difference of two squares Date: Content Teacher activities Student activities Introduction: Information on how the Inform students how end of Prepare required aids for tackling a revision 5 Minutes end of topic Revision topic Revision exercise will be exercise. exercise shall be administered. administered Development: 30 Minutes Administering End of topic Revision exercise Guide students as they work on end of topic test; Revision Exercise on p. 285 in the SB. Ask students what they have learned during the exercise. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 285 in the SB Students work on Revision Exercise on p. 285 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Expand knowledge by visiting internet site on p. 284 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 33 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 7 Chapter 16: Formulae Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 287 - 300 Revise working with formulae Date: Introduction: 5 Minutes Content Introducing formulae Teacher activities Lead the discussion by asking students about formulae that they already know from Form 2. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Revising formulae Guide students as they work on Activity 16.1 on p. 289 in the SB stating what the formula is used for. Discuss and ask questions when they work on the examples on p. 284 in the SB. Lead the discussion by working through Extension Activity 16.1 with the students. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Working on Investigation on p. 292 as homework Discuss Extension Activity 16.1 and ask questions about the activity where they do not understand. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Investigation on p. 292 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 34 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 7 Chapter 16: Formulae Teacher: Class: LESSON 5 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 287 - 300 Changing subject of the formulae using factorising Date: Introduction: 5 Minutes Content Introducing changing subject of the formula Teacher activities Lead the discussion by asking students what changing subject of the formula means. Student activities The students respond to the teacher’s questions. Development: 30 Minutes Changing subject of the formulae using factorising Discuss with examples on p. 293 in the SB; demonstrating how to factorise in order to change subject of the formula where the variable is in more than one term. Ask students what they have learned and what they need clarity on. Discuss and ask questions as they work on the examples on p. 293 in the SB. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 1 and 2 on p. 295 in the SB Do Exercise 16.2 on p. 295 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 35 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 8 Chapter 16: : Formulae Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 287 - 300 Changing subject of the formulae using square roots Date: Introduction: 5 Minutes Development: 30 Minutes Content Introducing changing subject of the formula using cube roots Changing subject of the formulae using square roots Teacher activities Lead the discussion by asking students question on square roots. Discuss the examples on p. 294 in the SB; demonstrating how to take a cube root to change subject of the formula. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 3, 4, 5, 6, 7, 8 and 9 on p. 295 in the SB Student activities The students respond to the teacher’s questions. Discuss and ask questions as they work on examples on p. 294 in the SB. Do Exercise 16.2 on p. 295 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 8 © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 36 Chapter 16: Formulae LESSON 2 Learning Objective Changing subject of the formulae using cube roots Teacher: Class: Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 287 - 300 Date: Introduction: 5 Minutes Student activities The students respond to the teacher’s questions. Development: 30 Minutes Content Introducing changing subject of the formula using cube roots Changing subject of the formulae using cube roots Teacher activities Lead the discussion by asking students questions on cube roots. Discuss with examples on p. 294 in the SB; demonstrating how to take a cube root in order to change subject of the formula when the variable is cubed and how to cube it when a variable is a cube root. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 10 and 11 on p. 295 in the SB Chapter 16: Formulae Discuss and ask questions as they work on examples on p. 294 in the SB. Do Exercise 16.2 on p. 295 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity on p. 295 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 8 Teacher: Class: © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 37 LESSON 3 Learning Objective Solving problems by changing subject of the formula as applied in real life situations Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 287 - 300 Date: Introduction: 5 Minutes Content Introducing solving problems by changing subject of the formula Student activities The students respond to the teacher’s questions. Development: 30 Minutes Solving problems by changing subject of the formula as applied in real life situations Teacher activities Lead the discussion by asking students questions on changing subject of the formula. Guide students as they work on Activity 16.3 on p. 296 in the SB, solving problems involving changing subject of the formula. Discuss the findings of the activity with students. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 2, 3 and 4 on p. 297 in the SB Chapter 16: Formulae LESSON 4 Learning Objectives Discuss and work on Activity 16.3 on p. 296 in the SB solving problems that involve changing subject of the formula. Do Exercise 16.3 on p. 297 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 16.2 on p. 297 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 8 Teacher: Class: Resources/Learning Aids/LTSM © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 38 Topic test on Change the subject of the formula to a specified variable by involving the use of factorising, square roots and cube roots Solve problems involving changing the subject of a formula as applied in practical situations of life Content Teacher activities Information on how a Inform students how end of Revision exercise shall be topic exercise will be administered. administered. Exploring Mathematics Form 3 PB pp. 287 - 300 Development: 30 Minutes Administering End of topic Revision exercise Students work on Revision Exercise on p. 299 in the SB. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 299 in the SB Date: Introduction: 5 Minutes Guide students as they work on end of topic test; Revision Exercise on p. 299 in the SB. Ask students what they have learned during the exercise. Student activities Prepare required aids for tackling a revision exercise. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity on p. 299 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 8 Chapter 17: Quadratic Equations Teacher: Class: LESSON 5 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 - 318 Solve quadratic equations of the form (x + m)(x + n) = 0 © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 39 Date: Introduction: 5 Minutes Content Introducing quadratic equations Development: 30 Minutes Solving quadratic equations of the form (x + m)(x + n) = 0 Teacher activities Lead the discussion by asking students questions on factorising quadratic expression. Help students to solve quadratic equations as they investigate equations with factors as in Support Activity 17.1 on p. 305 in the SB. Student activities The students respond to the teacher’s questions. Work on Support Activity 17.1 on SB p. 305. Discuss example on solving quadratic equation with the teacher. Do Exercise 17.1 on p. 306 in the SB. Discuss and demonstrate solving quadratic equations with an example on p. 305 in the SB. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 1 - 5 on p. 306 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 17.1 Questions 6 - 10 on p. 306 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 9 Chapter 17: : Quadratic Equations Teacher: Class: LESSON 1 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 Solve quadratic equations of the form ax2 + bx + c © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 40 318 Date: Introduction: 5 Minutes Content Introducing quadratic equations of the form ax2 + bx + c Teacher activities Lead the discussion by asking students question on factorising the quadratic expression of the form ax2 + bx + c. Discuss and demonstrate solving quadratic of the form ax2 + bx + c with examples on p. 306 in the SB Ask students what they have learned and what they need clarity on. Development: 30 Minutes Solving Quadratic equations of the form ax2 + bx + c = 0 Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 1–3 on p. 307 in the SB Student activities The students respond to the teacher’s questions. Discuss example on solving quadratic equations with the teacher. Do Exercise 17.2 on p. 307 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 17.1 Questions 4 & 5 on p. 307 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 9 Chapter 17: Quadratic Equations Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 - 318 Solve quadratic equations by simplifying first © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 41 Date: Introduction: 5 Minutes Content Introducing solving quadratic equations by simplifying first Development: 30 Minutes Solving Quadratic equations by simplifying first Teacher activities Lead the discussion by asking students question on solving quadratic equations of the form. Discuss and demonstrate solving quadratic equations that need simplifying first with an example on p. 307 in the SB. Student activities The students respond to the teacher’s questions. Guide students as they work on Activity 17.1 on p. 308 in the SB that entails discussing a common error in solving quadratic equations. Ask students what they have learned and what they need clarity on. Do Exercise 17.3 on p. 308 in the SB. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 1 – 9 on p. 307 in the SB Discuss example on solving quadratic equations with the teacher as on p. 307 in the SB. Discuss a common error in solving quadratic equations using Activity 17.1 on p. 307 in the SB. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 17.1 on p. 308 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 9 Chapter 17: Quadratic Equations Teacher: Class: LESSON 3 Learning Objective Resources/Learning Aids/LTSM Solve problems involving quadratic equations as applied Exploring Mathematics Form 3 PB pp. 303 - 318 © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 42 in practical situations Date: Introduction: 5 Minutes Development: 30 Minutes Content Introducing solving involving quadratic equations Solving problems involving quadratic equations as applied in practical situations Teacher activities Lead the discussion by asking students questions on solving quadratic equations. Discuss and demonstrate solving problems involving the quadratic equation with an example on p. 309 in the SB. Student activities The students respond to the teacher’s questions. Discuss example on solving quadratic equations with the teacher as on p. 309 in the SB. Discuss an applied problem using a quadratic equation using Activity 17.2 on p. 311 in the SB. Do Exercise 17.4 on p. 308 in the SB. Guide students as they work on Activity 17.2 on p. 311 in the SB that entails solving an applied problem. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise questions 1 – 3 on p. 311 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 17.4 questions 5 – 7 on p. 311 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 9 Chapter 17: Quadratic Equations Teacher: Class: LESSON 4 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 - 318 Use a spreadsheet to find approximate solutions to © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 43 quadratic equations Computer projector Spreadsheet Date: Introduction: 5 Minutes Content Introducing solving quadratic equations by spreadsheet Teacher activities Lead the discussion on how sometimes quadratic equations do not factorise in real life situations and solutions can be approximated thanks to spreadsheet application. Student activities The students respond to the teacher’s questions. Students take notes during the discussion. Development: 30 Minutes Using a spreadsheet to find approximate solutions to quadratic equations Project the spreadsheet on the board. Discuss an example on finding the approximate solution on p. 312 in the SB. Discuss the example on solving quadratic equations with spreadsheet as on p. 312 in the SB. Discuss an applied problem using spreadsheets using Activity 17.3 on p. 314 in the SB. So Exercise 17.5 on p. 314 in the SB. Guide students as they work on Activity 17.3 on p. 314 in the SB where they must solve a problem using a spreadsheet. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise question 1 on p. 314 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Exercise 17.5 questions 2 on p. 311 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 9 © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 44 Chapter 17: Quadratic Equations LESSON 5 Learning Objectives Topic test on: Solve quadratic equations by factorization Solve problems involving quadratic equations as applied in practical life situations Use spreadsheet to solve quadratic equations Date: Content Teacher activities Introduction: Information on how a Inform students how end of 5 Minutes Revision exercise shall be topic Revision exercise will be administered administered. Teacher: Class: Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 - 318 Development: 30 Minutes Administering End of topic Revision exercise Students work on Revision Exercise on p. 317 in the SB. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Revision exercise all questions on p. 317 in the SB. Chapter 18: Quadratic Graphs Guide students as they work on end of topic test; Revision Exercise on p. 317 in the SB Ask students what they have learned during the exercise. Student activities Prepares required aids for tackling a revision exercise. Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Extension Activity 17.3 on p. 316 in the SB LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 10 Teacher: Class: © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 45 LESSON 1 Learning Objective Use the graphical method to solve quadratic equations Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 - 318 Graph pads Ruler Date: Introduction: 5 Minutes Content Introducing the graphical method to solve quadratic equations Teacher activities Lead the discussion by asking students to read the introduction that states the rationale of quadratic equations on p. 320 in the SB. Student activities Read and discuss the introduction in the SB which lays the rationale of quadratic equations Development: 30 Minutes Using graphical method to solve quadratic equations Guide students as they work on Support Activity 18.1 on p. 321 in the SB to: Discuss solving quadratic equations graphically using Activity 18.1 on p. 321 in the SB. Conclusion: 5 Minutes Total Duration: 40 Minutes Discuss the example on p. 326 in the SB. – Draw and complete table of coordinates – Plot the coordinates on a Cartesian plane and join them to form a smooth graph – Solve a problem that entails a parabola facing down where x2 is negative as example on p. 326 of SB. Summarising the lesson Ask students what they have Respond to the teacher’s questions on what they have learned and what they need learned. clarity on. Assessment Assignments/Expanded opportunities Exercise question 1 on p. 327 in the SB (Assignment) Exercise 18.1 question 1 on p. 327 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 46 LESSON PLAN FOR MATHEMATICS FORM THREE TERM 2 WEEK 10 Chapter 18: Quadratic Graphs Teacher: Class: LESSON 2 Learning Objective Resources/Learning Aids/LTSM Exploring Mathematics Form 3 PB pp. 303 - 318 Solve applied problems by using graphical methods in Graph pads quadratic equations Ruler Date: Introduction: 5 Minutes Content Introducing solving applied problems by using graphical methods in quadratic equations Teacher activities Lead the discussion by asking students questions on solving quadratic equations graphically. Student activities Respond to the teacher’s questions. Development: 30 Minutes Solve applied problems by using the graphical method Guide students as they work on Activity 18.4 on p. 331 in the SB. Discuss solving applied problems graphically by working on Activity 18.4 on p. 331 in the SB. Do Exercise 18.3 on p. 332 in the SB. Discuss the activity with students. Ask students what they have learned and what they need clarity on. Conclusion: 5 Minutes Summarising the lesson Total Duration: 40 Minutes Assessment Exercise question 3 on p. 332 in the SB Respond to the teacher’s questions on what they have learned. Assignments/Expanded opportunities Activity 18.5 on p. 332 in the SB © Copyright Pearson Botswana 2013. Teachers and student teachers may copy these lesson plans for use with Pearson product. 47