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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