LESSON PLAN



LESSON PLAN

|Enlargement to Trigonometry |

|Lesson no: 3 |Time needed: 1 – 2 hours |

|Learning objectives and outcomes | |

|At the end of this lesson all pupils must: |

|know how to label the sides of a right-angled triangle |

|be able to work out the tangent ratio – understand it will be equal for similar right-angled triangles |

|use a tangent table to find angles and ratios |

| |

|Most pupils should: |

|work out an angle using the tangent ratio |

|work out the opposite side using the tangent ratio |

| |

|Some pupils could: |

|work out the adjacent side using the tangent ratio |

|Outline of lesson |

|Starter activity: |

|L3.1 Labeling sides PPT: run the power point to show how the sides of a right-angled triangle are labeled. The last slide has several triangles |

|on it, when you click the mouse a side of one triangle is highlighted – students should either shout out the name of the side or they could hold |

|up a card to indicate which side they think it is. On each mouse click a different side is highlighted. |

|Lesson content and activities: |

|L3.2 Right-angled triangles worksheet: Students need to measure the opposite and adjacent sides of the 600 triangles and find the ratio. They can|

|then work out the missing sides on the three remaining triangles (with KS3 groups you might want to run slide 1 of the ppt below and then do the |

|working out of the missing sides (slide 2) together) |

|L3.2 Right-angled triangles PPT (slides 1-2): These slides go through the above work. Students can then do the same for the 400 triangles – |

|answers are on slide 3. |

|L3.2 Right-angled triangles PPT (slides 4-5): Discuss with students how all this would only be useful if we knew the tangent ratio for all angles |

|between 0 and 900 and how we could then work out other sides and angles. Give them a tangent table (if you still have old exam board ones you |

|could use these or use an excel produced one – Trigonometry Tables). Slides 4 and 5 go through how to use it. |

|L3.2 Right-angled triangles PPT (slides 6 - 9): using the tangent ratio to find sides and angles. Use the three examples either for students to |

|try or just as examples to go through, depending on the capability of students. Some groups will now need a second lesson to consolidate this |

|work using the worksheet L3.3 Tangent Ratio Practice, where others will cope with this as a homework. |

|Plenary: |

|For groups who are doing this lesson over two hours this should be the plenary for the second hour. |

|L3.2 Right-angled triangles PPT (slide 10): Using a calculator – run the slide and get students to have a go at using their calculators to find |

|tan and tan-1. |

|Extension activities for quick workers: |

|Homework/Independent study: |

|L3.3 Tangent Ratio Practice (for groups doing this lesson in an hour – top GCSE sets) |

|Equipment needed: |

|Rulers, calculators |

|Resources used: |

|L3.1 Labeling sides PPT |

|L3.2 Right-angled triangles PPT |

|L3.3 Tangent Ratio Practice |

|Personal notes: |

|For Higher GCSE students with some knowledge of trigonometry this lesson could be done in an hour, with the consolidation work done for homework. |

|Whereas KS 3 groups or C/B grade higher students will probably need to do the consolidation work in a second lesson. |

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