Categories
Feedback Law of Sines Trigonometric Functions

Interesting Triangle

InterestingTriangle

Gregory Taylor sends this along, and asks a really great question about the work:

“Look past the problem of the original triangle having no 90 degrees… they know enough to run a (problematic) check on height to investigate ambiguity of sine.  Why would they even do that if they thought it was a right triangle?”

Any answers?

 

Categories
Trig Identities Trigonometric Functions

You ready for some more trig identities?

precalc 24

 

Thanks to Tina Cardone for her pile of trig submissions.

How would you help this student?

Categories
Graphing Trig Functions Trigonometric Functions

Amplitude and Period

precalc 15

 

What does this student know? How would you take the kid to the next level?

Thanks to the Ultimate Tina Cardone for her excellent submissions. Her reign of terror over this blog will end soon!

Categories
Law of Sines Trigonometric Functions

Law of Sines

precalc 8

 

Courtesy of Tina Cardone and presented without comment.

Categories
Exact Values of Trig Functions Trigonometric Functions

sin(75) = …

precalc 21 2 precalc 21 3 precalc 21

 

What do these responses reveal about what the students know about trig? Or just comment about what you find interesting here.

Thanks to the Incredible Tina Cardone for the submissions.

Categories
Arc Length

Arc Length

precalc 2

 

What’s the fastest way to help this kid?

Thanks again to the Estimable Tina Cardone.

Categories
Trig Identities Trigonometric Functions

QED?

jnewman2

 

What’s the fastest way to help this student?

Do you have a good way to help students understand the rigor needed in these sort of proofs?

Thanks to Jonathan Newman for the submission.

Categories
Trig Identities Trigonometric Functions

A Sneaky Simplifying Mistake

jnewman1

 

This is a fun mistake, via Jonathan Newman. Find it, and then explain how you’d help the kid who made it.

Categories
Inverse Trig Functions Trigonometric Functions

Inverse Trig Functions

precalc 17

precalc 19 2

precalc 19

 

How would you help these students?

Thanks to Tina Cardone for the submissions. Head over to the Productive Struggle blog for further analysis and discussion of these questions.

Categories
Feedback Trig Identities Trigonometric Functions

“1 + 1 = 1 ????”

photo (6)

 

What’s the fastest way of helping this student?

Thanks to Jonathan Newman for the submission. You should click on his name to go to his blog.