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
Pythagorean Theorem

Missing Side of Triangles

precalc 7

 

Here’s a mistake from a trig class. Would the question be easier in a Geometry class?

Here’s my theory: teachers underestimate how weak most of our students’ knowledge is, and how weakly in transfers. In particular, this problem became twice as difficult as soon as it was offered in the context of a trig class, without carefully writing the right angle in there with the lil’ square.

Am I right? Wrong?

Thanks to the Uncanny Tina Cardone for the submission.

Categories
Arc Length

Arc Length

precalc 2

 

What’s the fastest way to help this kid?

Thanks again to the Estimable Tina Cardone.

Categories
Equations of Parallel and Perpendicular Lines Linear, Quadratic, and Exponential Models* slope

Holy cow, there’s a lot to dig into here. Read this post carefully.

geom26 question

 

geom 26 4 geom 26 geom 26 3 (640x422) geom 26 2 (742x800)

 

There’s a ton to comment on here. I doubt you’ll need much in the way of a prompt, but here goes: what mistakes are missing? You grade this test on Sunday; what does Monday’s class look like?

Thanks to Tina Cardone, who is not-so-slowly taking over this blog, for the submission.

Categories
Geometric Measurement and Dimension Pythagorean Theorem Right Triangles Similar Figures Similarity, Right Triangles and Trigonometry

A whole bunch of questions about right triangles

geom25 question

 

geom 25

 

geom 25 2 (800x648)

 

What other mistakes would you expect to see from this problem? How do you teach so as to help students avoid these pitfalls?

Thanks to Tina Cardone for the submission.

Categories
Operations & Algebraic Thinking Ratios and Proportions

Money

IMAG0248

 

Let’s not even call this a mistake quite yet. What does this answer reveal about what the kid knows?

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.