Ghana curriculum lesson note
SHS 1 Additional Mathematics 2nd Semester Week 7 Lesson Plan
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Create Lesson Plan| Weekly Learning Plan | |||
| Subject | Additional Mathematics | Week | 7 |
| Duration | 60 minutes | Form | SHS 1 |
| Strand | ['Geometric Reasoning and Measurement', 'Calculus'] | Sub-Strand | ['Measurement of Triangles', 'Principles of Calculus'] |
| Learning Outcome(s) | 1.2.2.LO.1 - Describe diagrammatically and algebraically ways of representing problems involving angles of elevation and depression and solve related word problems. 1.2.2.LO.2 - Identify values of the special angles Co in degrees and radians and solve pa problems relating to the to coordinates of the unit circle. ap id 1.3.1.LO.1 - Describe graphically and Com algebraically the behaviour of the • A function about an input value and • A determine its derivative. | ||
| Content Standard | 1.3.1.CS.1 | ||
| Learning Indicator(s) | 1.2.2.LI.3 - and apply the knowledge to solve practical problems of arc 1.2.2.LI.4 - Identify the coordinates of the quadrantal angles in a unit circle and use trigonometric values of quadrantal angles. 1.3.1.LI.1 - Describe and interpret the meaning of the limit of a function through grap algebraic approaches. | ||
| Lesson Focus | Apply knowledge and skills in measurement of triangles principles of calculus to solve related problems. | ||
| Previous Knowledge | Learners recall related ideas, vocabulary or experiences from earlier lessons and everyday contexts. | ||
| Lesson Objective(s) | Describe the key idea in: Apply knowledge and skills in measurement of triangles principles of calculus to solve related 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 and apply the knowledge to solve practical problems of arc; Identify the coordinates of the quadrantal angles in a unit circle and use trigonometric values of quadrantal angles; Describe and interpret the meaning of the limit of a function through grap algebraic approaches? How can and apply the knowledge to solve practical problems of arc; Identify the coordinates of the quadrantal angles in a unit circle and use trigonometric values of quadrantal angles; Describe and interpret the meaning of the limit of a function through grap algebraic approaches be represented, explained and checked? When is the method used in and apply the knowledge to solve practical problems of arc; Identify the coordinates of the quadrantal angles in a unit circle and use trigonometric values of quadrantal angles; Describe and interpret the meaning of the limit of a function through grap algebraic approaches 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 Mathematical set Scientific calculators Graph sheets Ruler | ||
| Key Notes on Differentiation | |||
| Content | Use a scaffolded version of the core and apply the knowledge to solve practical problems of arc; Identify the coordinates of the quadrantal angles in a unit circle and use trigonometric values of quadrantal angles; Describe and interpret the meaning of the limit of a function through grap algebraic approaches task with intermediate prompts where support is needed. Use an extension requiring generalisation, proof, a less familiar representation or application of and apply the knowledge to solve practical problems of arc; Identify the coordinates of the quadrantal angles in a unit circle and use trigonometric values of quadrantal angles; Describe and interpret the meaning of the limit of a function through grap algebraic approaches 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 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 minutes | Model 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 minutes | Guide 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 minutes | Give 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 Closure | Summarise 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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Create Lesson PlanMore SHS 1 Additional Mathematics 2nd Semester Lessons
Week 1Sub-strand: Spatial ReasoningWeek 2Sub-strand: Spatial ReasoningWeek 3Sub-strand: Spatial ReasoningWeek 4Sub-strand: Spatial ReasoningWeek 5Sub-strand: Spatial ReasoningWeek 6Sub-strand: Measurement of TrianglesWeek 7 (current)Week 8Sub-strand: Principles of CalculusWeek 9Sub-strand: Principles of CalculusWeek 10Sub-strand: ['Principles of Calculus', 'Applications of Calculus']Week 11Sub-strand: Organising, Representing and Interpreting DataWeek 12Sub-strand: Organising, Representing and Interpreting DataWeek 13Sub-strand: Organising, Representing and Interpreting DataWeek 14Sub-strand: ['Organising, Representing and Interpreting Data', 'Making Predictions with Data']Week 15Sub-strand: Making Predictions with DataWeek 16Sub-strand: Making Predictions with Data