Objectives At the end of the lesson, students should be able to; Demonstrate a clear understanding of trigonometry in three dimensions. Use trigonometry to solve three dimensional problems. The plane A plane is a surface such as the top of a table or the cover of a book. The angle between a line and a …
Form 4 & 5 Unit 10 Lesson 20: Trigonometry in three dimensions Read More »
Objective At the end of the lesson, students should be able to; Use the sine and cosine rules to solve problems on bearings. Bearings are measured as clockwise angles from north and given as three-digit numbers. Compass directions are measured as acute angles from N or S to E or W. Consider the diagrams below, …
Form 4 & 5 Unit 10 Lesson 19: Application of sine and cosine rules to bearings Read More »
Objective At the end of the lesson, students should be able to; Solve story problems involving bearing. Use Pythagoras theorem, trigonometric ratios and the sine and cosine rule to solve problems on bearings. The bearing of a point B from a point A is the angle through which you turn clockwise as you change …
Form 4 & 5 Unit 10 Lesson 18: Story problems involving bearings Read More »
Objectives At the end of the lesson, students should be able to; Demonstrate a clear understanding of forward and back bearings. Calculate the magnitude and the direction of any point. Taking a forward bearing The first compass bearing we need to take is from our known location to our cabin on the far shore. The …
Form 4 & 5 Unit 10 Lesson 17: Understanding forward and back bearings Read More »
Objectives At the end of the lesson, students should be able to; Demonstrate a clear understanding of bearings. Calculate the magnitude and the direction of any point. There are many situations in which you might need to describe your position and direction of travel. For example, you may tell a friend that you will meet …
Form 4 & 5 Unit 10 Lesson 16: Introduction to Bearings Read More »
Objective: At the end of this lesson, students should be able to: Solve trigonometric problems in two dimensions involving angle of depression. Angle of depression The angle of depression is the angle below the horizontal through which a line of view is lowered. When you are standing on a high point and look down …
Form 4 & 5 Unit 10 Lesson 15: Angle of Depression Read More »
Objective: At the end of this lesson, students should be able to: Solve trigonometric problems in two dimensions involving angle of elevation. Angle of elevation If you look upwards at an object, say the top of a tree, the angle formed between the horizontal and your line of sight is called the angle of elevation. …
Form 4 & 5 Unit 10 Lesson 14: Angle of Elevation Read More »
Objectives: At the end of the lesson, students should be able to: Solve problems using the sine and cosine rule for any triangle. Use sine to find the area of a triangle. Using sine to find the area of a triangle The area of a triangle is given by the formula; Area = ½ …
Form 4 & 5 Unit 10 Lesson 13: Problems involving the use of Sine and Cosine Rule Read More »
Objectives: At the end of the lesson, students should be able to: Clearly distinguish between the sine and the cosine rule. Select the correct rule when solving problems involving sine and cosine rule. There are six numbers to know about a triangle: the length of the three sides and the three angles. If you …
Objective: At the end of the lesson, students should be able to: Solve problems using the cosine rule for any triangle. The Cosine Rule The cosine rule is another relationship which can be used with non-right angled triangles. We use the cosine rule when we have either: a) Two sides and the included angle. …
