Algebra 2 Unit 4: Exponential and Logarithmic Functions |
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Unit Driving Question
Essential Questions
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Launch Task |
Big Ideas for Development Lessons |
Closure & Assessment |
1 Lesson |
8 Weeks (approximately 1-2 weeks per big idea) |
1 Week |
Click on the links below to see each Big Idea's Lesson Overview (includes links to teacher notes and student activities)
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Big Idea 1: Exponential functions are defined as f(x)=a^x
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Lessons and Additional Activities
Big Idea 1 Lessons 1-4 Overview (includes links to teacher notes and student activities)
Additional Activities
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Evidence of Understanding
Discover and describe characteristics of exponential functions in mathematical and real world situations.
Build exponential functions using information from a graph, table or situation.
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Big Idea 2: Exponential functions share similar characteristics with power functions.
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OAS-M: | |
Lessons and Additional Activities
Big Idea 2 Lessons 1-4 Overview (includes links to teacher notes and student activities) |
Evidence of Understanding
Compare and contrast the graphs of power and exponential functions.
Compare and contrast the function rules of power and exponential functions.
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Big Idea 3: Logarithms and exponents can be used to solve mathematical and real-world problems. |
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OAS-M: A2.A.1.2, A2.A.1.8, A2.F.2.4 |
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Lessons and Additional Activities
Big Idea 3 Lessons 1-4 Overview (includes links to teacher notes and student activities) |
Evidence of UnderstandingDiscover and describe the relationship between an exponential function and a logarithmic function.
Recognize the necessity of converting an exponential function to logarithmic and vice versa when given a mathematical or real world situation.
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Big Idea 4: Sequences can be described as functions. Sums of series can be represented by exponential and logarithmic functions |
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Lessons and Additional Activities
Big Idea 4 Lessons 1-4 Overview (includes links to teacher notes and student activities) |
Evidence of Understanding
Discover patterns in sequences and identify as arithmetic, geometric or neither.
Discover and make generalizations about graphs of arithmetic and geometric sequences.
Build explicit and recursive formulas for geometric and arithmetic sequences.
Solve real-world and mathematical problems that can be modeled using arithmetic or finite geometric sequences or series given the nth terms and sum formulas.
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