Introduction to Logarithms - Grades 9-12

Goals and Standards

Colorado Academic Standards:

• Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. (CCSS: HS.F-BF.B.5)
• Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. (CCSS: HS.F-IF.C.7.e)

Mathematical Practice Standards:

• MP2: Reason abstractly and quantitatively.
• ​​MP3: Construct viable arguments and critique the reasoning of others.
• MP5: Use appropriate tools strategically.
• MP6: Attend to precision.
• MP7: Look for and make use of structure.

Learning Goal:

• Students will build a deeper understanding of logarithmic functions utilizing the relationship between exponential and logarithmic functions and apply this understanding to real-world problems.