Adv Algebra Exponentials and Logarithms Week 1

What
Adv Algebra Exponentials and Logarithms Week 1
When
9/21/2023


High School Weekly Lesson Plan Template

Week of: 9/18

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

Course Name:Advanced Algebra

Monday

AA.FGR.3.6 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 an exponential equation

 SC:

  • 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

Lesson/Activity: 

Engage:  Diamond Math

 Explore: Guided notes on writing and solving basic exponential equations (NO logarithms required)

 Apply: Students complete embedded questions in guided notes and additional worksheet

  Reflect: IXL UKG and QSF

Resources: Guided Notes, IXL

Tuesday

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 an exponential equation

 SC:

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

  • I can rewrite exponential expressions using common bases

Lesson/Activity: 

Engage:  Penny Problem

 Explore: Examples solving exponential equations

 Apply: Students complete worksheet

  Reflect: TOTD Question

Resources: Worksheet

Wednesday

AA.FGR.3.2 Analyze, graph, and compare exponential and logarithmic functions

LT: 

  • I can graph an exponential equation and determine its domain and range

 SC:

  • 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

Lesson/Activity: 

Engage:  Review graphs of quadratic functions

 Explore: Notes on graphing exponentials: Include asymptotes, domain, range

 Apply: IXL PCX

 Reflect: Whiteboard problem

Resources: Whiteboards, IXL

Thursday

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

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 converting forms if necessary

 Explore: 

 Apply: Week review

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

Resources: Week review



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