Are you introducing proofs for the first time? Are your students struggling with the concept of a proof? I have found that there are very few remediation worksheets on proofs and sometimes it is necessary to go slow until all students get the hang of proofs. It can be frustrating when the textbooks only include one or two examples.
I created this very straightforward study guide for beginner proofs on the DEFINITION OF AN ANGLE BISECTOR. This particular study guide contains 8 proofs. The first 4 are all set up to apply the definition of an angle bisector. The second 4 are set up so that the student will have to prove that a ray is an angle bisector.
(**Helpful hint: My text book defines an angle bisector as something that cuts an angle into two CONGRUENT angles not EQUAL. Because of this I make my students prove that if they are congruent then they would be equal in a separate step. I've seen text books that lump these two steps together but I find that ultimately it helps to show those two steps separately. I have also seen textbooks that say an angle bisector cuts the angle into 2 equal parts so I would double check your text book's definition of bisector before using my key.)
The proofs are easy and repetitive but some contain 9 steps each. I have used this in my own classroom and it is a good way for the kid that proofs themselves can be repetitive once you get the "hang of it."
Please check out my other proof packets that I have posted and stay tuned for a lot more coming soon! If you are happy with your download I would appreciate any positive feedback you would be willing to leave. Thanks and happy teaching!
Geometry: Angle Bisector Proofs
by Dana Burrows
is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License