Enjoy your winter break!
We used the class period to play a game of Bingo where students needed to answer questions from topics covered in first semester. We had a number of winners.
Enjoy your winter break!
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Students turned in missing work and completed their last test of the semester.
Students completed a 5 question warm-up and we went over it in class. We also reviewed how to find the value of a function's inverse at a point given a graph or a table. Students were able to check their review with the answer key, posted in the Stream of your google classroom. During the last 20 minutes we took questions as a class. Students were also encouraged to complete the DE Quiz on Inverse Functions.
HW: Complete any missing work. Last test of the semester (#6) is tomorrow, 12/18. Students had the whole class period to work on 3 items: complete their DE Quiz on Inverse Functions, complete the quick questions sheet on inverse functions (we checked this in class) & work on the study guide for test 6.
HW: Complete the study guide for test 6 and any missing work. Last test is Wednesday, 12/18. We played a 21 question Kahoot, with some holiday trivia too, that reviewed what we learned about inverse functions this week (algebraically and graphically). Then students had the last 10 minutes to start on their DE Quiz on Inverse Functions. Students also received a study for test 6, the last test of the semester. Test 6 will be on 12/18.
HW: Complete the DE Quiz Inverse Functions, complete the Desmos activity Practice with Inverses & any missing work. Students completed page 3 of More Function Composition, where the last 2 problems we needed to work backwards. We checked this page together. Anything from this packet could be on your test next wek.
Then we completed page 3 of our notes and some of page 4. We showed how composing two functions and if they return a value of x, then those functions are inverses of each other. Use the video links for more examples: https://www.youtube.com/watch?v=wrru-viN3x0 https://www.youtube.com/watch?v=d40FhQEq9J8 https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/v/verifying-function-inverses-by-composition https://www.youtube.com/watch?v=ASenk2d8ghc HW: Complete WS Inverse Functions - Identifying Pairs Students used the first half of class to work on the Desmos activity: Practice with Inverses. Then students completed page 2 of the More Compositions packet from yesterday. We checked this together.
HW: Complete the Desmos activity: Practice with Inverses & yesterday's worksheet Inverse Functions - Equations (1 - 8). Students completed a 10 question review on composition of functions - algebraically and graphically. We checked this in class.
From our work with desmos, students looked at composite functions graphically, and looked at the types of functions that when composed created the line y = x. We saw that the inverse switches (reverses) the order of the coordinates in the original function. We also could see that the inverse function undoes the original function. We used this idea to create the inverse function. Then we looked at these graphically using desmos. We saw that the function and its inverse are reflections over the line y= x. We also showed how to find a function's inverse algebraically by using the switch and solve method. Use the video link below for review or practice: www.youtube.com/watch?reload=9&v=PWcjyhW8vMk https://www.khanacademy.org/math/algebra2/manipulating-functions/introduction-to-inverses-of-functions/v/introduction-to-function-inverses https://www.youtube.com/watch?v=cbFl1H3oGMk https://www.brightstorm.com/math/algebra-2/inverse-exponential-and-logarithmic-functions/finding-an-inverse-algebraically/ HW: Complete WS Inverse Functions - Equations (1 - 8) Students received their Friday quiz back and students were encouraged to make a second attempt at questions they did not answer. Students completed a 10 question review on function operations & composition. We checked this in class as well as WS 6.6 Test Prep. The worksheet was collected. This lead us into our investigation (using desmos) of composite functions and what students noticed from the graphs. We completed about half of the desmos activity: Fun with Inverse Functions.
HW: Complete desmos activity: Fun with Inverse Functions, slides 1 - 12. Students had 20 minutes to work on the review worksheet- function composition. We checked 10 of the 20 problems in class. Students had the rest of class to work on the Quiz with a partner. The circuit training - functions was collected.
HW: Complete WS Function Composition & the back do 1 - 6. Complete any missing work. |
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