Ghana curriculum lesson note

SHS 2 Additional Mathematics 2nd Semester Week 1 Lesson Plan

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Weekly Learning Plan
SubjectAdditional MathematicsWeek1
Duration60 minutesFormSHS 2
StrandGeometric Reasoning and MeasurementSub-StrandSpatial Reasoning
Learning Outcome(s)2.2.1.LO.1 - Deduce the equation of a circle Communic and find its centre and radius. and part are tole use appr their id 2.2.1.LO.2 - Determine the equation of a GESI: Learne locus under a given approach tha condition. inclusion, w an inclusive understandin them to: • Res
Content Standard2.2.1.CS.1 - Demonstrate understanding of loci and their applications
Learning Indicator(s)2.2.1.LI.1 - Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia. 2.2.1.LI.2 - Apply knowledge of the distance between two points and the Pythagoras describe a circle in the algebraic form.
Lesson FocusExplore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia.
Previous KnowledgeLearners recall related ideas, vocabulary or experiences from earlier lessons and everyday contexts.
Lesson Objective(s)Describe the key idea in: Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia. 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 Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia; Apply knowledge of the distance between two points and the Pythagoras describe a circle in the algebraic form? How can Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia; Apply knowledge of the distance between two points and the Pythagoras describe a circle in the algebraic form be represented, explained and checked? When is the method used in Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia; Apply knowledge of the distance between two points and the Pythagoras describe a circle in the algebraic form 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 Mathematical set
Key Notes on Differentiation
ContentUse a scaffolded version of the core Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia; Apply knowledge of the distance between two points and the Pythagoras describe a circle in the algebraic form task with intermediate prompts where support is needed. Use an extension requiring generalisation, proof, a less familiar representation or application of Explore the equation a circle and its properties using technological t Geometer’s sketchpad, paper cutting, Geoboard and other realia; Apply knowledge of the distance between two points and the Pythagoras describe a circle in the algebraic form 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 spatial reasoning 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 spatial reasoning, 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 spatial reasoning 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 spatial reasoning 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 spatial reasoning and correct one common misconception using learner examples. State one thing learned and complete the exit response.

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