If you want to teach trigonometric ratios, here are 3 quick methods every geometry teacher needs to know.
Method #1: Connect Trig Ratios To What The Students Already Understand
Here's the big thing geometry teachers must understand about this method: as the teacher, we must connect new information to prior learning for every lesson. Research shows that this will help our students retain the new knowledge that they are learning.
Geometry teachers need to understand this method means that for trig ratios to make sense and be remembered, we need our students not to see only a fraction, but for that fraction to tell them something about the angles. We need to ask questions that get students to connect the size of the angle in a right triangle with the fraction created.
This is important because when you ask questions like
*What happens to the sin ANGLE as that ANGLE gets larger? Smaller?
Helping the students to make the relationships and connections, will place this new information into their long term memory.
You should plan out at least ten questions you will ask your students so that they can connect this new learning with something they already understand and feel confident about from previous learning. Add these to your lesson plans.
Method #2: Show The Problem Done Three Different Ways
The key to this method is when students make connections on their own; they not only own their learning, they can retain it longer and recall it easier.
So, here's what this means: when you put the problems on the board. I like to use a minimum of three. You can, as the teacher and guide, start asking questions to lead them in the right direction of understanding.
For example, I would draw one large right triangle and label all the sides lengths and angle measurements. Next, I would begin writing true statements about the triangle while encouraging the students to find a pattern.
Geometry teachers need to know this method because as the students find the pattern, they are more engaged than traditional instruction that tells them the definitions of trig functions. And we all understand that engaged students are going to learn more and understand more.
To put this into action, you should find three more examples of right triangles where students can look at patterns and relationships.
Method #3: Start With Success
The bottom line for you with this is that this is the first lesson in a unit of lessons. Give them success today. Help them to feel confident. This is the most important lesson of the whole unit. Make sure every student walks out today feeling confident.
The most important thing to get with this is students will be more engaged, more willing to complete work, and are much less likely to feel overwhelmed during the rest of the unit.
This method is important because by planning a lesson and daily work where each student feels successful on the first day, your students will have much more success with the whole unit.
So the thing for you to do here is to take a look at your students and make a realist plan for the first day working with trig functions.
It will amaze you how much faster you can get things done as a geometry teacher just by understanding these three teaching methods and how to use them to your advantage.
Hey, one more thing before I forget, if you're a geometry teacher serious about teaching success, this free lesson plan I just released "the free Introduction to Trigonometric Ratios Lesson Plan and Resources along with nine other lessons" helps you teach trigonometric ratios and more! Check it out: https://highschoolmathteachers.com/optin-geometry-lessons/