Friday, 9/9: We started a new unit today by reviewing some of the basic properties of exponents as well as scientific notation. Students were given a worksheet to complete during class and an additional worksheet for homework. The answers to the homework is on the back side of the worksheet so students could check their work and be prepared to ask questions on Monday.
Monday, 9/12: Homework for tonight is a review for the Benchmark Test that students will be taking this Wednesday. Since the test will cover 3 units found in the Math II book - Number and Operations (Unit 1), Quadratics (Unit 3), and Right Triangle Trigonometry (Unit 5). students are to work the unit tests found in the book at the end of each unit. Homework will be checked for work on the Number and Operations and Quadratic tests. The Right Triangle Trigonometry unit test is optional. FYI - the results of the benchmark will be scored as a quiz in this class.
Tuesday, 9/13: We spent the entire class period going over concepts, especially quadratics, that will be on the benchmark tomorrow.
Wednesday, 9/14: Students took the Benchmark I Test today using the I-Respond remotes. Homework is a worsheet that was handed out yesterday over simplifying expressions with integer exponents. The answers are at the bottom of the sheet so students should attempt every problem.
Thursday, 9/15: We reviewed the homework for over half the period and then started to learn how to solve exponential equations by changing the equations into a common base. Homework is a worksheet titled "It Sure Would Be Nice..."
Friday, 9/16: We again spent more time than anticipated going over homework on solving exponential equations that we were not able to learn a new concept today. Students clearly need more practice on solving equations and simplifying expressions with integer exponents so I made up a new worksheet that is attached. Students were informed in class that they needed to go to the blog, print out the worksheet, and complete for homework. If you cannot print the worksheet, just write the problems on another piece of paper and complete. I will provided the answers on Monday during class but we will NOT spend more than 10 minutes on reviewing homework. If students need more assistance, they will need to seek help outside of their class period. Download Extra Practice Solving Exponential Equations and Simplifying Expressions
Monday, 9/19: We learned about radical and rational exponent notation. Because of the amount of time spent reviewing homework again, students were not ready for the worksheet that I had copied. Attached is a worksheet that they should be able to complete based on how far we made it in class. Download Rational Exponent and Radical Notation 2nd and 3rd period were instructed to download this worksheet and work for homework. 6th period students received a copy during class. Additionally, attached are the solutions to the Extra Practice worksheet from Friday. There will be a quiz on Wednesday over all concepts learned up to now. Download Extra Practice Solving and Simplifying Answers
Tuesday, 9/20: Homework is a worksheet titled Practice B on using properties of radicals and rational exponents.
Wednesday, 9/21: Quiz today. Homework is a worksheet titled Practice C AND accessing your Math III book online. The access codes are on the back of the worksheet. Also, if you need more examples you can look in sections 3.1 and 3.2
Thursday, 9/22: The graphs of exponential growth and decay functions were introduced today. We reviewed a few of the parent graphs learned last year and compared how transformations to all parent graphs can be approached in the same way, even the new parent graph of y = b^x. Homework in in the Math II book p 122: 1-3, 5, 6, 10, 11 and p 126: 1-8
Friday, 9/23:
Monday, 9/25:
Tuesday, 9/26:
Wednesday, 9/27: I was out ill today so the quiz was postponed until Thursday. Students worked on "Discovering e" and then practiced simpifying expressions with e and graphing functions with a base of e. Remember that "e" just represents the irrational number 2.71828182..... Since this is a number between 2 and 3, the parent graph of y=e^x will look very similar. When simplifying expression with a base of e, the process is no different that when simplifying expressions with bases of a, b, c, x, y, z, etc. You CAN do this. The quiz will include e.
Thursday, 9/28: Quiz over graphing exponential equations and simplifying expressions that have a base of e. Homework is to work the back side of the "Discovering e" worksheet but omit #9, 14-16.
Friday, 9/29: We looked at solving exponential equations algebraically and graphically today. The first examples in class solved the compound interest formula for an unknown interest rate when a given return was known. This type could be solved algebraically. The second type of solving occurred when the unknown or variable was in the exponent position. Eventually we will learn how to solve these types using logarithms but for know they will be solved graphically using the calculator. Student need to learn and/or review how to adjust the window settings appropriately so they can see the intersection of both equations (left side equation and right side equation of the set up). Once they can see the intersection, they will use the "intersection" command to find the solution.
For homework, students are to graphically solve the following two problems. For each, students need to write down the equations put into Y1 and Y2, list the appropriate window settings to get an intersection, and find the solution.
14500=2500e^(4x)
112=3e^(20x)
Friday, 10/7: Test and M&M lab due on Monday! attached are the answers to a few worksheets assigned this week. Download AM2 Exponential Applications etc review ANSWERS Download Analyzing Graphs of Exponential Functions ANSWERS Download Applications of Exponential Functions ANSWERS
