Exponential and Logarithmic Functions: Two Kinds of Change: Math Unit 5, Grade 11 (Letters & Devotion)

Description

Exponential and Logarithmic Functions: Two Kinds of Change is Unit 5 of Algebra II: Functions, Structure, and Modeling (Grade 11), the Letters & Devotion Math course, complete in one printable PDF: 8 lessons, the unit check-up and the answer key, 57 pages.

• The distinguishing tests for linear, quadratic, and exponential tables (constant difference, constant second difference, constant ratio)
• Exponential growth/decay models built from a stated percent rate
• The logarithm as the inverse function of an exponential
• Logarithm properties (product, quotient, power) as restatements of exponent rules
• Exponential equations solved via logarithms
• Logarithmic equations and their domain restrictions
• Model selection and construction among linear, quadratic, and exponential families for an unfamiliar context
• The long-run divergence of linear versus exponential processes despite short-run similarity

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.