Embedded Files
In addition to the Pythagorean theorem and the primary trigonometric ratios, you now also have the sine and cosine laws in your trigonometric toolbox. Now, we are going to tie together everything you have learned by applying what you know to real word problems.
I can already hear some of you groaning. I get it. Problem solving can be difficult. However, the best way to get better is by practicing. Below, I have included eight helpful steps to go through when presented with a difficult problem. Remember: Even if you "hate math" (but please do not use hate and math in the same sentence around me!), each time you are faced with a challenge, you are exercising you brain and learning how to think critically.
Below, I have worked through a few examples that you can read through. After that, I have designed an activity to give you lots of opportunity practice.
A closing thought: You really are not "learning any new math" in this section. You already have all the tools you need. Now you are learning how to use your brain.
Problem Solving Strategies
Problem Solving Strategies
1. Read the problem once over and try to understand the scenario.
2. Read the problem again again, underlining important information.
3. Draw a sketch. Fill in important information.
4. Determine the goal of the problem: What are you trying to find?
5. If possible, make a general estimate of what your answer should be. For example, if you are measuring the distance between two planes in the sky, most likely they are going to be more than 5 meters apart.
6. Think about strategies you have used to solve similar problems. Would any of these strategies work here?
7. Solve the problem. If your approach does not work, do not get discouraged. Try another approach.
8. Check the reasonableness of your answer.
Activity 5: Trigonometric Maze
Activity 5: Trigonometric Maze
This is great activity to wrap up the unit. In a sense, it could be described as a puzzle you must solve. As well, it is easy to catch if you go wrong somewhere because you will end up back at a question you already did. Have fun!
Instructions:
Oh no! You are currently lost in a maze and the only way to get out is to answer the questions in the attached document in the correct order. You know you have successfully made it out of the maze if you finish back at question one.
On a sheet of looseleaf, complete question one first. Once completed, choose the multiple-choice answer that matches your solution. That answer tells your which question to go to next. Complete the remainder of the questions in the same manner. Make sure to record the order that they complete the questions in. The correct order you should complete them in is below (No cheating!).
Correct Order:
Order should be 1,3,5,6,2,4
Congratulations!
Congratulations!
If you made it out of that maze on your own, you have successfully completed all the activities I have for this unit. Well done! I hope you enjoyed the activities and resources I included and that they improved your understanding of the sine and cosine law.
If you are looking for further learning activities, I would suggest making a 4-tab foldable (see video below) and have the sections dedicated to the Pythagorean theorem, primary trigonometric ratios, the sine law, and the cosine law, respectively. Then include formulas, proofs, and example problems for each section. Not only is this is a great way to summarize what you have learned, but it will be a valuable resource to carry with you in future math courses when you may need a quick refresher.
Last but not least: Stay healthy!
Page updated
Report abuse