Curriculum / Math / 11th Grade / Unit 5: Exponential Modeling and Logarithms / Lesson 5

Exponential Modeling and Logarithms

Lesson 5

Math

Unit 5

11th Grade

Lesson 5 of 16

Objective

Describe the derivation of the formula for the sum of a finite geometric series and use it to solve problems.

Lesson Map

Topic A: Modeling with and Interpreting Exponential Functions

Lesson

Identify, model, and analyze geometric sequences.

Standards

F.IF.A.3F.IF.B.5F.LE.A.2

Lesson

Analyze and construct exponential functions that model contexts.

Standards

F.IF.B.4F.IF.C.8.BF.LE.A.2

Lesson

Write and change the form of exponential functions that model compounding interest.

Standards

F.BF.A.1.AF.LE.B.5

Lesson

Define and use $$e$$ in continuous compounding situations.

Standards

A.SSE.B.3.CF.BF.A.1.A

Lesson

Describe the derivation of the formula for the sum of a finite geometric series and use it to solve problems.

Standards

A.SSE.B.4

Lesson

Find the sum of an infinite geometric series.

Standards

A.SSE.B.4

Topic B: Definition and Meaning of Logarithms

Lesson

Describe and evaluate simple numeric logarithms (Part I).

Standards

F.LE.A.4

Lesson

Describe and evaluate simple numeric logarithms (Part II).

Standards

F.LE.A.4

Lesson

Describe logarithms as the inverse of exponential functions and graph logarithmic functions.

Standards

F.BF.B.3F.BF.B.4.BF.BF.B.4.CF.BF.B.5F.IF.C.7.E

Lesson

Evaluate common and natural logs using tables, graphs, and calculators.

Standards

F.BF.B.4.CF.LE.A.4

Lesson

Understand and apply the change of base property to evaluate logarithms.

Standards

F.LE.A.4

Lesson

Develop and use the product and quotient properties of logarithms to write equivalent expressions.

Standards

F.LE.A.4

Lesson

Develop and use the power property of logarithms to write equivalent expressions.

Standards

F.BF.B.4.BF.LE.A.4

Lesson

Solve equations with logarithms.

Standards

F.LE.A.4

Lesson

Use logarithms to solve exponential modeling problems (Part I).

Standards

A.SSE.A.1.BF.LE.A.4

Lesson

Use logarithms to solve exponential modeling problems (Part II).

Standards

A.SSE.A.1.BF.LE.A.4

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