Navigating with Bearings

Navigating with Bearings

Learning Objective

At the end of the lesson, you will be able to solve problems with bearings.

What do you already know about bearings?

What are Bearings?

Bearings are angles measured in degrees clockwise from the north direction.

Calculating Bearings

To calculate a bearing, use the angle between the starting point, the destination, and the north direction.

Example Problem: Finding a Destination

Given a starting point and a bearing, find the destination point.

Example Problem: Finding a Bearing

Given the starting point and the destination point, find the bearing required to reach the destination.

Problem Solving Strategies

1. Identify the known information. 2. Determine the relevant angles. 3. Apply the appropriate formulas. 4. Solve the problem.

Interactive Activity: Converting Bearings

Convert the following compass bearing to a true bearing: N32°W.

Interactive Activity: Calculating Bearings

Calculate the bearing required to reach a destination 2 km north and 3 km east of the starting point.

Common Errors

1. Forgetting to account for magnetic declination. 2. Using the wrong angle measurement. 3. Incorrectly identifying the starting and destination points.

Tips and Tricks

1. Double-check the direction of the bearing. 2. Draw accurate diagrams. 3. Use trigonometric functions when necessary.

Practice Problems

1. Find the true bearing for a compass bearing of N50°E. 2. Calculate the bearing to reach a destination 4 km south and 6 km west of the starting point.

Real-World Applications

Bearings are used in navigation, surveying, and mapping to determine directions and positions accurately.

Review

Review the key concepts: bearings, compass bearings, true bearings, converting bearings, calculating bearings, problem-solving strategies.

Assessment

Solve the following problem: Given a starting point and a bearing, find the destination point.

Further Resources

1. Online tutorials on bearings. 2. Practice worksheets. 3. Interactive quizzes.

Summary

Recap the main points covered in the lesson and emphasize the importance of practicing and applying the concepts learned.

Conclusion

Congratulations! You have learned how to solve problems with bearings. Keep practicing to strengthen your skills.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.