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SHS 2 Additional Mathematics 2nd Semester Week 6 Lesson Plan

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Weekly Learning Plan
SubjectAdditional MathematicsWeek6
Duration60 minutesFormSHS 2
Strand['Geometric Reasoning and Measurement', 'Calculus']Sub-Strand['Measurement of Triangles', 'Principles of Calculus']
Learning Outcome(s)2.2.2.LO.1 - Find trigonometric values using compound, multiple and half angles and prove the sine and cosine rule. 2.2.2.LO.2 - Verify whether or not a given G trigonometric equation is an identity, a and solve trigonometric equations. i i u t • 2.3.1.LO.1 - Determine the appropriate rule and use it to find the derivative of a function. 2.3.1.LO.2 - Estimate the area under a curve using the trapezoid rule.
Content Standard2.2.2.CS.1
Learning Indicator(s)2.2.2.LI.3 - hniques to isolate the trigonometric functions and find the Lev makes the equation true. Lev con alk for Learning and building on what others say. und ners work in mixed-ability groups to evaluate trigonometric equations. Lev rea r trigonometric equations Lev 2.3.1.LI.1 - Identify the rules of differentiation. in
Lesson Focushniques to isolate the trigonometric functions and find the Lev makes the equation true.
Previous KnowledgeLearners recall related ideas, vocabulary or experiences from earlier lessons and everyday contexts.
Lesson Objective(s)Describe the key idea in: hniques to isolate the trigonometric functions and find the Lev makes the equation true. Apply the idea through guided and independent learning activities. Demonstrate understanding through oral responses, written work or practical performance.
Essential Question(s)What prior mathematical ideas are needed for hniques to isolate the trigonometric functions and find the Lev makes the equation true. Lev con alk for Learning and building on what others say. und ners work in mixed-ability groups to evaluate trigonometric equations. Lev rea r trigonom; Identify the rules of differentiation. in? How can hniques to isolate the trigonometric functions and find the Lev makes the equation true. Lev con alk for Learning and building on what others say. und ners work in mixed-ability groups to evaluate trigonometric equations. Lev rea r trigonom; Identify the rules of differentiation. in be represented, explained and checked? When is the method used in hniques to isolate the trigonometric functions and find the Lev makes the equation true. Lev con alk for Learning and building on what others say. und ners work in mixed-ability groups to evaluate trigonometric equations. Lev rea r trigonom; Identify the rules of differentiation. in useful, and why?
Pedagogical StrategiesDiagnostic questioning Worked-example modelling Worked-example fading Think-pair-share Guided problem solving Error analysis
Teaching & Learning ResourcesWhiteboard and markers Exercise books Pens/pencils Scientific calculators Graph sheets Ruler Mathematical set
Key Notes on Differentiation
ContentUse a scaffolded version of the core hniques to isolate the trigonometric functions and find the Lev makes the equation true. Lev con alk for Learning and building on what others say. und ners work in mixed-ability groups to evaluate trigonometric equations. Lev rea r trigonom; Identify the rules of differentiation. in task with intermediate prompts where support is needed. Use an extension requiring generalisation, proof, a less familiar representation or application of hniques to isolate the trigonometric functions and find the Lev makes the equation true. Lev con alk for Learning and building on what others say. und ners work in mixed-ability groups to evaluate trigonometric equations. Lev rea r trigonom; Identify the rules of differentiation. in for learners ready to advance.
ProcessUse worked-example fading: complete example → partially completed example → independent problem. Pair learners for mathematical explanation; the listener must restate the reasoning before agreeing or correcting.
ProductRequire a complete solution with correct notation, justified steps and a check of the result. For extension work, require comparison of two methods or a statement of when the method applies.
Success CriteriaLearners use correct subject vocabulary. Learners complete the main task with reasonable accuracy. Learners explain or demonstrate how the concept applies in a new situation.
HomeworkComplete mixed practice questions with full working and one short explanation of method.
Lesson Activities
StageTeacher ActivityLearner ActivityAssessment / DoK
Starter10 minutesWrite a short problem on measurement of triangles principles of calculus and ask learners to suggest the first step before solving.Share prior knowledge, listen to peers and record the lesson question in their notebooks.Not provided.
Activity 115 minutesModel one worked example on measurement of triangles principles of calculus, explaining the rule, notation and reason for each step.Follow the worked example, ask questions and record the method clearly.Ask learners to name the rule used and explain why it applies.
Activity 220 minutesGuide pairs to solve two graded questions on measurement of triangles principles of calculus and compare their methods.Solve the paired questions, compare answers and correct errors with reasons.Check working steps, notation, accuracy and correction of errors.
Activity 310 minutesGive an unfamiliar problem on measurement of triangles principles of calculus for independent solution and justification.Solve independently and write a short justification for the method used.Mark the independent task for correct method, final answer and explanation.
Lesson ClosureSummarise measurement of triangles principles of calculus and correct one common misconception using learner examples. State one thing learned and complete the exit response.

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