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  All of Unit 4
Unit 4-1: Exponential Models (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.IF.8b 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 and decay.

MGSE9-12.F.LE.4 For exponential models, express as a logarithm the solution to ab^(ct)= d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

MGSE9-12.A.SSE.3c Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t , where t is in years, can be rewritten as [1.15^(1/12)]^(12t) ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

MGSE9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions.


Exponential Clips: (PaperCutting, Penny Flipping)

Video Lessons: (p1, p2, p3)

Sample Quiz:(Interactive, PDF)

Unit 4-2: Graphing Exponential Functions (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.

MGSE9-12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior.


Video Lessons: (p1, p2, p3a, p3b, p4, p5)

Sample Quiz:(Interactive, PDF)

Unit 4-3: Converting Exponents & Logs (PDF, Key)
Georgia Standards (Click to Expand)

MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

MGSE9-12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

MGSE9-12.F.BF.5 Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

MGSE9-12.F.LE.4 For exponential models, express as a logarithm the solution to ab^(ct)= d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.



Video Lessons: (p1, p2, p3)

Sample Quiz:(Interactive, PDF)
Unit 4-4: Graphing Logarithmic Functions (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.IF.7 Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.

MGSE9-12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)

Unit 4-5: Inverse of Log and Exp. Functions (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.BF.5 Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

MGSE9-12.F.BF.4 Find inverse functions.

Quick Introduction: Video

Video Lessons: (p1, p2)

Sample Quiz:(Interactive, PDF)

Unit 4-6: Exponent and Log Properties (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

MGSE9-12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

MGSE9-12.F.BF.5 Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

MGSE9-12.F.LE.4 For exponential models, express as a logarithm the solution to ab^(ct)= d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz:(Interactive, PDF)


Unit 4-7: Solve Exponential Equations (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.IF.8b 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 and decay.

MGSE9-12.F.LE.4 For exponential models, express as a logarithm the solution to ab^(ct)= d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.


Video Lessons: (p1, p2a, p2b)

Sample Quiz:(Interactive, PDF)

Unit 4-8: Solve Logarithmic Equations (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.F.IF.8b 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 and decay.

MGSE9-12.F.LE.4 For exponential models, express as a logarithm the solution to ab^(ct)= d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.


Video Lessons: (p1a, p1b, p2a, p2b)

Sample Quiz:(Interactive, PDF)

TEST: Testing Item Banks for Exam View

(388 available questions for Unit 4)

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ExamView Video Instructions (How To Make a Test)

Author: Matt Winking & Walt Henry

 

05-09

 

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