Curriculum / Math / 9th Grade / Unit 6: Exponents and Exponential Functions / Lesson 7

Exponents and Exponential Functions

Lesson 7

Math

Unit 6

9th Grade

Lesson 7 of 22

Objective

Write equivalent radical and rational exponent expressions. Identify quantities as rational or irrational.

Lesson Map

Topic A: Exponent Rules, Expressions, and Radicals

Lesson

Use exponent rules to analyze and rewrite expressions with non-negative exponents.

Standards

8.EE.A.1

Lesson

Add and subtract polynomial expressions using properties of operations.

Standards

A.APR.A.1

Lesson

Multiply polynomials using properties of exponents and properties of operations.

Standards

A.APR.A.1

Lesson

Solve mathematical applications of exponential expressions.

Standards

8.EE.A.1

Lesson

Use negative exponent rules to analyze and rewrite exponential expressions.

Standards

8.EE.A.1A.SSE.A.2

Lesson

Define rational exponents and convert between rational exponents and roots.

Standards

N.RN.A.1N.RN.A.2

Lesson

Write equivalent radical and rational exponent expressions. Identify quantities as rational or irrational.

Standards

N.RN.B.3

Lesson

Simplify radical expressions.

Standards

N.RN.A.2

Lesson

Multiply and divide rational exponent expressions and radical expressions.

Standards

N.RN.A.2N.RN.B.3

Lesson

Add and subtract rational exponent expressions and radical expressions.

Standards

N.RN.A.2N.RN.B.3

Topic B: Arithmetic and Geometric Sequences

Lesson

Describe and analyze sequences given their recursive formulas.

Standards

F.BF.A.2F.IF.A.2F.IF.A.3

Lesson

Write recursive formulas for sequences, including the Fibonacci sequence.

Standards

F.BF.A.2F.IF.A.2F.IF.A.3

Lesson

Define arithmetic and geometric sequences, and identify common ratios and common differences in sequences.

Standards

F.BF.A.2F.LE.A.2

Lesson

Write explicit rules for arithmetic sequences and translate between explicit and recursive formulas.

Standards

F.BF.A.2F.IF.A.3F.LE.A.2

Lesson

Write explicit rules for geometric sequences and translate between explicit and recursive formulas.

Standards

F.BF.A.2F.IF.A.3F.LE.A.2

Topic C: Exponential Growth and Decay

Lesson

Compare rates of change in linear and exponential functions shown as equations, graphs, and situations.

Standards

A.SSE.A.1F.IF.C.9F.LE.A.1F.LE.A.3

Lesson

Write linear and exponential models for real-world and mathematical problems.

Standards

A.SSE.A.1F.LE.A.1F.LE.A.2F.LE.B.5

Lesson

Graph exponential growth functions and write exponential growth functions from graphs.

Standards

F.BF.B.3F.IF.C.7.E

Lesson

Write exponential growth functions to model financial applications, including compound interest.

Standards

F.IF.C.8.BF.LE.A.2F.LE.B.5

Lesson

Write, graph, and evaluate exponential decay functions.

Standards

F.BF.B.3F.IF.C.7.EF.IF.C.8.BF.LE.A.1.C

Lesson

Identify features of exponential decay in real-world problems.

Standards

F.IF.C.8.BF.LE.A.1.C

Lesson

Solve exponential growth and exponential decay application problems.

Standards

F.IF.C.8.BF.LE.A.1F.LE.A.2

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