# Algebra II

Exponential and Logarithmic Function Unit

“Intro to Graphing Exponential Functions” Activity: This activity uses Desmos.com to give students a feel for the behavior of exponential (both growth and decay) functions. Students need to understand domain and range but otherwise it is assuming students have never dealt with exponential functions before. (PDF Version) (Pages Version)

“Intro to Logarithms” Activity: This activity introduces logarithms as the inverse of exponentials. It asks them to graph a logarithm first by interchanging the x and y coordinates of some points on an exponential graph. It assumes knowledge of exponential functions, and refreshes them on inverses before going into logarithms.     (PDF Version)

“Properties of Logarithms Intro” Activity: This is designed to give students a feel for some of the logarithm rules before the formal lesson. (PDF Version)

Rational Functions

“Intro to Asymptotes” Activity: This is designed to introduce the concept of the asymptote and should help students connect them with division by zero in the function.     (PDF Version)       (Pages Version)

Conic Sections

Interactive Desmos Graph for Parabolas

“Hyperbola (Blank) Notes Sheet”This is just a template for notes introducing hyperbolas.     (PDF Version)

Probability

“Intro to Probability Distribution and Binomial Experiments”: This is to accompany my lesson on this topic, but could be easily used in the context of an intro to probability distribution.     Activity: (PDF Version)     (Pages Version)             Answer key: (PDF Version)  (Pages Version)

Statistics

“Z-score Practice”: This activity came right after introducing the concept of a z-score. The idea is that it gives them a visual for understanding z-score. (I did this activity the day before, which also helped them visually understand the normal curve.) I really thought I got a lot of mileage out of this activity.         (PDF Version)     (Pages Version)

“More z-score work” Activity: This activity builds on the previous activity (z-score practice) and asks them to dig deeper into probabilities in the context of normal data. It relies heavily on the visual representations we established the day before. This is another activity that I really enjoyed and it forced the students to really think critically about the concepts of z-scores, normal data, standard deviations, and probability.        (PDF Version)        (Pages Version)

Trigonometry

“Reducing Radicals Exploration”: This activity aims at giving students a deep understanding of how to reduce radicals. This activity went well in class and really asked students to think deeply. (If you have ideas on how it could be improved, please let know. This is a topic that comes up often, but I don’t think many students have a deep understanding of it.)         (Google Doc)

“Measuring Angles (Degrees and Radians)” : This activity asks students to graph angles on the coordinate plane, find coterminal angles, and discover and develop the concept of a radian. Here is the video that is referenced in the activity. Here is the PDF of video link and QR code to the video (I placed one of these at each group so they could watch the video on their own device).       (PDF Version)       (Pages Version)

“Side-Side-Angle Ambiguity” Activity: The aim of this activity is to help students visualize, understand, and reflect on why, when given SSA, one can have no solutions, one solution, or two solutions. This is one of the best activities I’ve put together this year. You read my reflection/thoughts on it here.  (PDF Version)        (Pages Version)