Real-World Exponential Models and Data Linearization

6 lessons

Goal

Construct continuous exponential models across various scientific fields and linearize non-linear relationships using logarithmic transformations.

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Solving Compound Interest and Continuous Growth Problems

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Standards Covered

OGM.13.EXP.2Open Global Math Standards 2026™ · Math · Level 13 / High School 4 (Age 17–18) · Grade 12
Model real-world exponential growth and decay phenomena (continuous compound interest, radioactive decay, population dynamics, pharmacology) and transform non-linear relationships of the forms $y = ax^n$ and $y = kb^x$ into linear forms using logarithms to estimate parameters.

Curriculum Framework

12th Grade · Math · Open Global Math

6 lessons

Exponential and Logarithmic Functions, Inverses, and Rates of Change

Analyze exponential and logarithmic functions, apply logarithmic laws to solve complex equations, and apply the derivative property of exponential functions.

12th Grade · Math · Open Global Math

6 lessons

Real-World Exponential Models and Data Linearization

Construct continuous exponential models across various scientific fields and linearize non-linear relationships using logarithmic transformations.

12th Grade · Math · Open Global Math

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