Adv Algebra - Exponentials and Logarithms Week 2

What
Adv Algebra - Exponentials and Logarithms Week 2
When
2/24/2025

Week of: 2/24

*for additional curriculum information, please visit the district's resource High School Pacing Guides  or Georgia Standards

Course Name:Advanced Algebra

Monday

AA.FGR.3.2 Analyze, graph, and compare exponential and logarithmic functions, AA.FGR.3.3 Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context., AA.FGR.3.6 Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically. 

LT: 

  • I can use the one-to-one property to solve exponential equations


 SC:

  • I can use the one-to-one property to solve exponential equations

  • I can rewrite exponential expressions using common bases


Lesson/Activity: 

Engage:  Review solving equations

 Explore:  Notes on solving Exponential equations with common bases

 Apply: Worksheet on Solving exponential equations

 Reflect: TOTD

Resources: Week review

Tuesday

AA.FGR.3.3 Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context.

LT: 

  • I can convert between exponential and logarithmic expressions

 SC:

  • I can rewrite an exponential expression as a logarithm

  • I can rewrite a logarithmic expression as an exponential expression

Lesson/Activity: 

Engage:  Review graphs of quadratic functions

 Explore: Guided notes on converting between forms

 Apply: Worksheet on converting forms

 Reflect: Week Review on Friday

Resources: Worksheet, Guided notes

Wednesday

AA.FGR.3.2 Analyze, graph, and compare exponential and logarithmic functions, AA.FGR.3.3 Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context., AA.FGR.3.6 Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically. 

LT: 

  • I can solve logarithmic equations

  • I can convert between exponential and logarithmic expressions

 SC:

  • I can rewrite an exponential expression as a logarithm

  • I can use the one-to-one property to solve logarithmic equations


Lesson/Activity: 

Engage:  Finish converting forms if necessary

 Explore:  Notes on solving one-to-one logarithmic equations

 Apply: Worksheet on Solving logarithmic equations

 Reflect: TOTD

Resources: Week review

Thursday

AA.FGR.3.2 Analyze, graph, and compare exponential and logarithmic functions, AA.FGR.3.3 Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context., AA.FGR.3.6 Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically. 

LT: 

  • I can solve logarithmic equations

  • I can convert between exponential and logarithmic expressions

 SC:

  • I can use the one-to-one property to solve logarithmic equations

  • I can rewrite an exponential expression as a logarithm

  • I can rewrite a logarithmic expression as an exponential expression

Lesson/Activity: 

Engage:  Finish solving one-to-one if necessary

 Explore:  Notes on converting to Exponential to solve

 Apply: Worksheet on Solving logarithmic equations

 Reflect: TOTD

Resources: Week review

Friday


AA.FGR.3.2 Analyze, graph, and compare exponential and logarithmic functions, AA.FGR.3.3 Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context., AA.FGR.3.6 Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically. 

LT: 

  • I can write and solve exponential equations

  • I can graph exponential equations

  • I can use the one-to-one property to solve exponential equations

  • I can convert between exponential and logarithmic expressions

 SC:

  • I can use the one-to-one property to solve exponential equations

  • I can rewrite exponential expressions using common bases

  • I can use technology to graph an exponential equation

  • I can use a graph to determine the domain of a function

  • I can use a graph to determine the range of a function

  • I can identify a growth or decay factor

  • I can find an initial quantity

  • I can write an equation in the form f(x) = a(b)x

  • I can rewrite an exponential expression as a logarithm

  • I can rewrite a logarithmic expression as an exponential expression

Lesson/Activity: 

Engage:  Finish solving logarithmic equations if necessary

 Explore:  

 Apply: Week review

 Reflect: Review missed problems from week review on Monday as necessary

Resources: Week review

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