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Lesson Plan
TeachEngineering

Teach Engineering: Bone Density Math and Logarithm Introduction

For Teachers 9th - 10th
This project shows the connection between engineering, science and math by having young scholars learn the equation needed to calculate bone mineral density. Lesson includes an explanation of the equation as well as practice problems and...
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Activity
Help Algebra

Help algebra.com: Solving Logarithms and Exponentials

For Students 9th - 10th Standards
Examples are provided to demonstrate techniques for solving equations that contain logarithms and exponentials. Explanations of the solutions are also include to help further understanding of the concept.
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Unknown Type
Khan Academy

Khan Academy: Interpret Equations Graphically

For Students 9th - 10th Standards
Practice the connection between the graphical representation of equations and their algebraic solutions.
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Unknown Type
Windstream

Ojk's Precalculus Study Page: Sample Test

For Teachers 9th - 10th Standards
A practice test on exponents and logarithms, covering the basics and going through solving exponential and logarithmic equations.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating

For Teachers 9th - 10th Standards
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating. Aligns with F-LE.A.4.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Bacteria Populations

For Teachers 9th - 10th Standards
This task provides a real-world context for interpreting and solving exponential equations. Students are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony being...
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Unit Plan
TED Talks

Ted: Ted Ed: Logarithms Explained

For Students 9th - 10th
This animated video explores logarithms and explains how they are used in chemistry. Get the basics on these critical mathematical functions -- and discover why smart use of logarithms can determine whether your eyes turn red at the...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Newton's Law of Cooling

For Teachers 9th - 10th Standards
For this problem, young scholars use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 3.5 Using Logs to Solve Exponential Functions

For Students 9th - 10th Standards
This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating in Practice Ii

For Teachers 9th - 10th Standards
This problem introduces Carbon 14 dating which is used by scientists to date certain organic material. This version is based on the ratio of Carbon 14 to Carbon 12, which decreases at a constant exponential rate after an organism dies....
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Exponential Equations

For Students 9th - 10th Standards
Use your knowledge of logarithmic properties in order to solve "exponential equations where x is in the exponent, but the bases do not match." This tutorial offers simple examples and practice exercises for you to complete and check.
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Handout
Other

University of California: Exponential and Logarithmic Rules [Pdf]

For Students 9th - 10th Standards
A 2-page reference that outlines the what a logarithm is, the rules of exponents and logs, and how to solve simple exponential and log equations.
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Handout
University of Guelph

University of Guelph: Physics Tutorials: Logarithm Bases

For Students 9th - 10th Standards
This site explains the types of logarithms.
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Activity
Math Medics

S.o.s. Math: Solving Exponential Equations

For Students 9th - 10th Standards
Examples showing how to solve the exponential equation by using logarithms. It also includes a set of exercises to practice with.
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Activity
Purple Math

Purplemath: Solving Exponential Equations: Solving From the Definition

For Students 9th - 10th Standards
This Purple Math site has many examples of exponential equations, without using logarithms.
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Activity
Richland Community College

Richland Community College: Algebra Lecture Notes

For Students 9th - 10th Standards
This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Exponential Functions

For Students 9th - 10th Standards
Hotmath provides 21 practice problems relating to exponential an logarithmic functions. Each of the practice problems include a step-by-step guide for solving their function.
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Activity
University of Vienna (Austria)

Maths Online

For Students 9th - 10th Standards
This site consists of interactive lessons on a multitude of math topics including sets, drawing plane and coordinate system, variables, equations, and functions. You may also view this Vienna University site in German.
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Unit Plan
TeachEngineering

Teach Engineering: Bone Mineral Density and Logarithms

For Teachers 9th - 10th
Students examine an image produced by a cabinet x-ray system to determine if it is a quality bone mineral density image. Students write in their journals about what they need to know to be able to make this judgment. Students learn about...
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Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Exponential Kiss

For Teachers 9th - 10th Standards
The purpose of this task is to use technology to study the behavior of some exponential and logarithmic graphs and to manipulate some explicit logarithmic and exponential expressions. Aligns with HSF-LE.A.4, F-BF.B.5, and F-IF.C.7.e.
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Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Trawling for an Intersection

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson is designed to draw a connection between polar and parametric equations, as well as to expose students to the Trawler Problem (involving a fast boat chasing a slower boat which...
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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Review

For Students 9th - 10th Standards
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
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Activity
Texas Instruments

Texas Instruments: Linear and Quadratic Approximations

For Teachers 9th - 10th Standards
In this activity, students explore the linear and quadratic approximations of a logarithmic function and find properties the functions have in common.

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