Ghana curriculum lesson note

SHS 3 Additional Mathematics 1st Semester Week 16 Lesson Plan

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Weekly Learning Plan
SubjectAdditional MathematicsWeek16
Duration60 minutesFormSHS 3
StrandGeometric Reasoning and MeasurementSub-StrandMeasurement of Triangles
Learning Outcome(s)3.2.2.LO.1 - Draw and analyse basic Com trigonometric graphs using values of par the unit circle, maximum values and tol minimum values. app ide
Content Standard3.2.2.CS.2
Learning Indicator(s)3.2.2.LI.2 - Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function.
Lesson FocusUse knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function.
Previous KnowledgeLearners recall related ideas, vocabulary or experiences from earlier lessons and everyday contexts.
Lesson Objective(s)Describe the key idea in: Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function. 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 Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function? How can Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function be represented, explained and checked? When is the method used in Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function 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 Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function task with intermediate prompts where support is needed. Use an extension requiring generalisation, proof, a less familiar representation or application of Use knowledge in compound angles to derive harmonic identities and find the maxi and minimum values of a trigonometric function 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 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, 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 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 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 and correct one common misconception using learner examples. State one thing learned and complete the exit response.

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