Subject: Algebra 2



Subject: Algebra 2

Grade Level: High School

Unit Title: Log and exponential functions (Unit 7) |Timeframe Needed for Completion: 1.5 weeks

Grading Period: 2nd Nine Weeks | |

|Big Idea/Theme: Equations and Inequalities |

| |

|Understandings: |

|Solve log equations |

|Solve exponential equations |

|Compare log and exponential functions |

|Essential Questions: |Curriculum Goals/Objectives |

|What is a logarithm? |The student will: |

|Why do we study logarithms? |FLE.4 For exponential models, express as a logarithm the |

|How do logs and exponentials inter-relate? |solution to abct = d where a, c, and d are numbers and |

| |the base b is 2, 10, or e; evaluate the logarithm using |

| |technology. |

| |ACED.1 Create equations and inequalities in one variable and use |

| |them to solve problems. Include equations arising from |

| |linear and quadratic functions, and simple rational and |

| |exponential functions. |

| |FIF.7.E Graph functions expressed symbolically and show key |

| |features of the graph, by hand in simple cases and using |

| |technology for more complicated cases. |

| |e. Graph exponential and logarithmic functions, |

| |showing intercepts and end behavior, and |

| |trigonometric functions, showing period, midline, |

| |and amplitude. |

| |FIF.8.B Write a function defined by an expression in different |

| |but equivalent forms to reveal and explain different |

| |properties of the function. |

| |b. Use the properties of exponents to interpret |

| |expressions for exponential functions. For example, |

| |identify percent rate of change in functions such as y |

| |= (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and |

| |classify them as representing exponential growth or |

| |decay. |

|Essential Skills/Vocabulary: |Assessment Tasks: |

|Logarithm |Translate between exponential and log functions |

|Inverse |Graph log and exponential functions – to include intercepts and end behavior |

|Natural log |Solve log/ln equations |

|Common log |Solve exponential equations including e. |

|Materials Suggestions: |

|Prentice Hall Algebra 2 |

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