Ghana curriculum lesson note

SHS 2 Additional Mathematics 2nd Semester Week 12 Lesson Plan

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Weekly Learning Plan
Subject	Additional Mathematics	Week	12
Duration	60 minutes	Form	SHS 2
Strand	Calculus	Sub-Strand	Applications of Calculus
Learning Outcome(s)	2.3.2.LO.1 - Investigate the turning point of a function.
Content Standard	2.3.2.CS.1
Learning Indicator(s)	2.3.2.LI.1 - Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems. 2.3.2.LI.2 - Use the second derivative of a function to classify the maximum, minimum a point of that function and perform curve sketching.
Lesson Focus	Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems.
Previous Knowledge	Learners recall related ideas, vocabulary or experiences from earlier lessons and everyday contexts.
Lesson Objective(s)	Describe the key idea in: Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems. 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 Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems; Use the second derivative of a function to classify the maximum, minimum a point of that function and perform curve sketching? How can Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems; Use the second derivative of a function to classify the maximum, minimum a point of that function and perform curve sketching be represented, explained and checked? When is the method used in Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems; Use the second derivative of a function to classify the maximum, minimum a point of that function and perform curve sketching useful, and why?
Pedagogical Strategies	Diagnostic questioning Worked-example modelling Worked-example fading Think-pair-share Guided problem solving Error analysis
Teaching & Learning Resources	Whiteboard and markers Exercise books Pens/pencils Graph sheets Ruler
Key Notes on Differentiation
Content	Use a scaffolded version of the core Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems; Use the second derivative of a function to classify the maximum, minimum a point of that function and perform curve sketching task with intermediate prompts where support is needed. Use an extension requiring generalisation, proof, a less familiar representation or application of Find the maximum and minimum values and points of a function, sketch the func and solve some real life problems; Use the second derivative of a function to classify the maximum, minimum a point of that function and perform curve sketching for learners ready to advance.
Process	Use 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.
Product	Require 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 Criteria	Learners use correct subject vocabulary. Learners complete the main task with reasonable accuracy. Learners explain or demonstrate how the concept applies in a new situation.
Homework	Complete mixed practice questions with full working and one short explanation of method.

Lesson Activities
Stage	Teacher Activity	Learner Activity	Assessment / DoK
Starter10 minutes	Write a short problem on applications 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 minutes	Model one worked example on applications 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 minutes	Guide pairs to solve two graded questions on applications 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 minutes	Give an unfamiliar problem on applications 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 Closure

Summarise applications of calculus and correct one common misconception using learner examples. State one thing learned and complete the exit response.

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