HW: Book 7.1 (problems are listed on the top of your 7.1 notes)

Today we looked at the features of exponential model as well as its basic form: y = ab^x. We made connections to the 2 problems from yesterday. We wrote equations for both situations and examined their graphs. We completed additional notes today.
HW: Book 7.1 (problems are listed on the top of your 7.1 notes)
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Students completed their chapter 6 tests from yesterday. Then we discussed the question: would you rather have A) 1 million dollars or B) a penny that doubles in value every day for a month? We used a spreadsheet to help us see which option was worth more at the end of the month.
HW: Complete the first 3 pages of the drug filtering packet. Student will have 10 more minutes tomorrow to complete their chapter 6 test.
Students received the quizzes back and we went over commonly missed questions. Chapter 6 test is tomorrow. Any missing work is due tomorrow, 1/27.
Students can do the following: 1. students can simplify radicals 2. students can use basic operations (add, subtract, multiply) with binomial radicals 3. can rationalize a radical expression 4. solve radical equations using algebraic and graphing methods 5. find the inverse of a function, graph the inverse of a function and determine is the inverse is a function 6. state the domain and range of both a function and its inverse 7. can find the value of the composition of two functions; example: given f(x) = x - 7 & g(x) = x^2 +1 find f(g(2)) or g(f(x+3)) 8. rewrite a radical equation in order to describe (in words) the transformations of a given equation from its parent function Students to about 10 - 15 minutes to complete their quiz from Friday. Students had the rest of class to complete their review packet on chapter 6. Please finish the last page (1 - 32) tonight. This will be collected on Wednesday, 1/27.
HW: Complete review packet. Test is on Wednesday, 1/27. Students did a 4 - 8 question review (22 - 29) before their quiz. We also went over book 6.7 & collected it. Students had about 25 minutes to complete their quiz 6.6 - 6.8. 10 minutes will be given on Monday to wrap it up.
HW: Complete WS Test Chapter 6 Due to the number of students out on a fieldtrip, those present had a work day to complete book 6.7 and WS 6.7 Test Prep. We went over WS 6.7 Test Prep and collected the 6.6 - 6.8 packet.
HW: Book 6.7 is due tomorrow and quiz 6.6 - 6.8 is tomorrow, January 22nd. 3 sets of review problems are available on www.tenmarks.com We completed the remaining 3 - 6 problems last we did not finish from yesterday's notes. We went over even answers to book 6.8 and this was collected. Students had the rest of class to complete WS 6.7 Test Prep and book 6.7 assignment.
HW: I will collect the WS 6.6 - 6.8 packets tomorrow and book 6.7. If you are in class you will have a study hall due to many students out on a fieldtrip. Quiz 6.6 - 6.8 on Friday, 1/22. We went over the 3 worksheets that were completed from last week (6.6 & 6.8). We discussed the idea that the inverse will undo an action. We gave mathematical and real life examples of life. We completed our notes on graphing inverses, writing the formula for the inverse function and determining if the inverse is a function. We used the HLT to determine if the inverse is a function.
You may watch this short video in class that explained the idea of a function being one-to-one. https://www.youtube.com/watch?v=9b8Xd77f-qk We also found that the graphs of the original function and its inverse are reflections over the line y = x. Their ordered pairs are also switched. The links below provides a good recap/review https://www.youtube.com/watch?v=nSmFzOpxhbY https://www.youtube.com/watch?v=JPPitlVKjWQ HW: Complete book 6.8 if you have not yet done so and complete page 410 10 - 24 evens tonight. Students were asked to create the graph of the square root function and cube root function. We found that the domain and range of the square root function were all reals greater than or equal to zero. This put our graph in the first quadrant and it looked like half of a sideways parabola. The cube root function had a domain and range of all real numbers and was in quadrants I and III, looking like a stretched out "S". We went over the 3 basic transformations: translations, vertical stretch/compression, and reflection of each axis.
HW: Complete book 6.8 Page 418 - 420 5, 6, 15, 16, 20, 24 - 26, 31 - 36, 43, 44, 54, 60 - 63, 68. This will be collected on Tuesday, 1/19. |
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