Solving trigonometric equations can be difficult for students to understand without good visual aids. Graphical solutions can provide highly effective support in this regard. Using either the pdf answer key sheets or a Geogebra file conceived and created by Mathew's House, students independently
and effectively develop a more complete understanding
of the presented topic while you facilitate!
Most students just accept concepts as a given in math without any internalizing or synthesis. But, in many cases, the theorems and equations are just an extension of what they already know or have previously studied. So, they are quite capable of discovering them on their own, given some guided instruction.
Using this unique Geogebra file, the user can explore math concepts with the click of a mouse. Geogebra is a software platform in the same sense as Power Point is. The user creates a file (this Geogebra file was created by Mathew's House) to demonstrate almost any idea in math. Then the student uses the interactive file to learn the desired concept.
, a free program, is quickly and easily downloaded from the internet to both computers and tablets (as an app) and soon to phones as well. Students can work individually in a computer lab or you can use a single computer and projector and work through the exercise as a group. Alternatively, you could use the flipped classroom model and have them complete the exercise at home allowing class time to further develop the ideas presented.
In this exercise, when you move the appropriate sliders, the trigonometric functions will be dynamically transformed on screen. This allows the student to control the pace of learning and to clearly visualize the solutions within the given domain. This allows them to better understand the basic concepts behind this topic.
The graphics in Geogebra
are visually appealing and each of the parameters are color coded to help students identify the different values. All very helpful to fully understand and to apply the concepts learned.
Two pdf pages of guided exercises as well as a Geogebra
file and ten pdf answer key pages provide your students with a complete resource to fully and independently explore this topic.
Please check out the preview to get a more compete description and visual concept of what is included.
exercises in other topics click the title below:
High School Trigonometry Bundle
( 40% savings! )
Trig Ratios - Sine, Cosine & Tangent
Arc Length & Sector Area
Area of Any Triangle
( free ! )
The Unit Circle
Ambiguous Case of the Sine Law
The Derivative - from First Principles