Ghana curriculum lesson note
SHS 1 Additional Mathematics 2nd Semester Week 3 Lesson Plan
Need the editable version?
Generate, personalize and download the complete lesson plan on Sirbus.
Create Lesson Plan| Weekly Learning Plan | |||
| Subject | Additional Mathematics | Week | 3 |
| Duration | 60 minutes | Form | SHS 1 |
| Strand | Geometric Reasoning and Measurement | Sub-Strand | Spatial Reasoning |
| Learning Outcome(s) | 1.2.1.LO.1 - Describe the properties of lines, including parallel, perpendicular and midpoints. 1.2.1.LO.2 - Derive the equation of a line in Comm various forms, find the shortest part distance between a point and a line to l and the perpendicular distance from appr an external point to a line. idea 1.2.1.LO.3 - Solve problems on acute angles Commun between two intersecting lines. partic to lis approp ideas. 1.2.1.LO.4 - Perform algebraic manipulations of Commu Vectors and resolve vectors using parti the triangle, parallelogram and to li polygon laws of addition. appro ideas | ||
| Content Standard | 1.2.1.CS.1 | ||
| Learning Indicator(s) | 1.2.1.LI.6 - Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line. 1.2.1.LI.7 - Determine the acute angles between two intersecting lines with the aid of tools, e.g. GeoGebra. | ||
| Lesson Focus | Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line. | ||
| Previous Knowledge | Learners recall related ideas, vocabulary or experiences from earlier lessons and everyday contexts. | ||
| Lesson Objective(s) | Describe the key idea in: Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line. 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 Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line; Determine the acute angles between two intersecting lines with the aid of tools, e.g. GeoGebra? How can Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line; Determine the acute angles between two intersecting lines with the aid of tools, e.g. GeoGebra be represented, explained and checked? When is the method used in Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line; Determine the acute angles between two intersecting lines with the aid of tools, e.g. GeoGebra 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 | ||
| Key Notes on Differentiation | |||
| Content | Use a scaffolded version of the core Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line; Determine the acute angles between two intersecting lines with the aid of tools, e.g. GeoGebra task with intermediate prompts where support is needed. Use an extension requiring generalisation, proof, a less familiar representation or application of Deduce the shortest distance between a point and a line and use the knowle intercepts and right-angled triangles to find the perpendicular distance f point to a line; Determine the acute angles between two intersecting lines with the aid of tools, e.g. GeoGebra 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 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 minutes | Model 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 minutes | Guide 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 minutes | Give 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 Closure | Summarise spatial reasoning and correct one common misconception using learner examples. State one thing learned and complete the exit response. | ||
Need the editable version?
Generate, personalize and download the complete lesson plan on Sirbus.
Create Lesson PlanMore SHS 1 Additional Mathematics 2nd Semester Lessons
Week 1Sub-strand: Spatial ReasoningWeek 2Sub-strand: Spatial ReasoningWeek 3 (current)Week 4Sub-strand: Spatial ReasoningWeek 5Sub-strand: Spatial ReasoningWeek 6Sub-strand: Measurement of TrianglesWeek 7Sub-strand: ['Measurement of Triangles', 'Principles of Calculus']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