Warm up involved finding the area of a right triangle in an applied context by utilizing the 45-45-90 triangle. Asked for special right triangle hw questions after looking at several solutions to the warm up, then looked at the Pythagorean theorem in more depth and started a proof of it.
Notes from board
Homework
next assessment: Monday 2/12
watch and take notes on this video: link
Warmup was to find the area of an equilateral triangle given the perimeter, using a special right triangle pattern. Finished our proof of the Pythagorean theorem and also looked at Einstein's childhood proof of the same problem. Started trigonometry unit with a video looking at some of the applications of trig and noted how a wave pattern can come from examining the changing side lengths of a right triangle drawn in a circle. Then, used similar triangles to find certain numbers (ratios) that are 'characteristic' of a particular family of right triangles and can be used to classify them. These are called trig ratios and they can be remembered with the acronym "SohCahToa." Practiced this with kahoot.
Notes from board
Homework
#1-12 on this handout: link
next assessment is Monday 2/12
Resources
basics of SohCahToa: link
more examples: link
Warmup involved combining trig ratios with the Pythagorean theorem. Worked 2 problems without diagrams where a given trig ratio can help 'construct' the figure by picking the pieces apart and making a figure with them. Looked at trig in an applied context involving angle of elevation, solving for an unknown length. Some classes also looked at the origin of the word 'sine' and into what the calculator is doing to produce the decimal values it does when asked for a trig value.
Notes from board
Homework
#5-10 on this handout: blank copy [NUMERICAL ANSWERS]
be sure calculator is in DEGREE MODE: online calc here
assessment is pushed back to Tuesday/Weds Feb 13/14
assessment topics are detailed in the notes linked above
Resources
great video showing how to find missing sides and angles: link
finding missing sides and then perimeter (made by me!) link
some Pythagorean examples: link link2
special right triangle examples: link1 link2
performing a dilation about the origin: link
dilation's effect on area: link