Graphs of Exponential Functions L.O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions
Starter: Thinking about the graph you sketched last lesson on infectious diseases, what shape does and exponential graph have?
Starter:
Graphs of Exponential Functions L.O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions
sketch exponential functions Main: sketch exponential functions 𝒚= 𝟐 𝒙 Table of values Sketch What do you notice about the graph?
sketch exponential functions Main: sketch exponential functions Table of values Sketch What do you notice about the graph? 𝒚= 𝟐 𝒙
sketch exponential functions Main: sketch exponential functions Is it ever negative? Is it ever zero? Does it have any asymptotes? 𝒚= 𝟐 𝒙
sketch exponential functions Main: sketch exponential functions Draw it on the same axis. How does the graph change? Why does this happen? Ext: *What would 𝒚= 𝟓 𝒙 look like? *What would 𝒚= 𝟎.𝟓 𝒙 look like? *What would 𝒚= 𝟐 −𝒙 look like? 𝒚= 𝟑 𝒙
Main: 𝒚= 𝟑 𝒙 Ext: *What would 𝒚= 𝟓 𝒙 look like? sketch exponential functions Ext: *What would 𝒚= 𝟓 𝒙 look like? *What would 𝒚= 𝟎.𝟓 𝒙 look like? *What would 𝒚= 𝟐 −𝒙 look like? 𝒚= 𝟑 𝒙 The higher the number on the base, the steeper the graph, the lower the number on the base, the flatter the graph. Negative powers reflect the graph over the y axis
Graphs of Exponential Functions L.O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions
Research what other natural phenomena follow exponential patterns. Plenary: Homework Research what other natural phenomena follow exponential patterns. You should find 3-5 examples and write about one page in total. Additionally, graphs and pictures would be nice. I will grade you on (5 marks per criteria): Your understanding of the Mathematics The links between the real life situation and the function it produces How and why the graph is the shape it is for each function
Graphs of Exponential Functions L.O. All pupils recognise functions displaying exponential growth and decay Most pupils can sketch exponential functions