and effectively discover
several of the more advanced trigonometry concepts presented in High School. You be the facilitator!
Most students just accept equations and theorems as a given in math. 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.
, the user can explore math concepts with the click of a mouse.
, 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 these exercises, when you move a point, a new geometric shape is formed. This allows the student to create several unique circles or triangles of their choosing. Geogebra
, then, automatically updates and displays all the new measurements.Through a step-by-step discovery process worksheet, students uncover the details/ideas behind each of the right-angled and non right-angled trigonometry equations as well as radian measure, arc length & sector area, area of any triangle and the unit circle. This allows them to clearly see their derivations and thus better understand their applications.
The graphics in Geogebra
are visually appealing and the lines in the shapes are color coded to help students identify each of the measurements required. All very helpful to fully understand and to apply the concepts learned.
Every exercise contains several pdf pages of guided exercises, questions and calculations along with one or more Geogebra
files to provide your students with a complete resource to fully and independently explore each topic.
Please check out the preview to get a much more compete description and visual concept of each product contained in this bundle.
For individual previews of all the Geogebra
exercises included in this bundle click the title below:
Arc Length & Sector Area
The Unit Circle
Ambiguous Case of the Sine Law
Trig Ratios - Sine, Cosine & Tangent
Not part of this bundle: