Introducing exponential equations means learners need to take all the rules and tricks they learned for exponents and actually apply them. This presentation comes to the rescue by touching on changing bases in exponential equations after a brief review of laws of exponents. Step-by-step examples help learners figure out how to write alternative forms of equations, while the links to pre-loaded interactive online activities seamlessly integrate technology. A great way to introduce this class of equations in a non-intimidating fashion.

Concepts

exponential equations, solving equations, properties of exponents

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Additional Tags

math

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Instructional Ideas

• Assign pupils base numbers, and have them create problems for the class using the assigned quantity
• Link the presentation to the class website for viewing in a flipped classroom model, or remediation during homework in a traditional setting
• Give exponential equations some context by linking with a biology lesson on cell or population growth

Classroom Considerations

• Learners weak in applying exponent laws might struggle with this lesson
• Only problems with common bases are covered, so the class might need warning that not all problems work out so cleanly
• Viewing the presentation requires the ability to open a *.pptx file
• Interactive Geogebra links need Internet access and updated Java software

Pros

• Clear explanations and step-by-step examples
• Comprehensive exponent law review chart
• Common mistakes and misconceptions addressed
• Geogebra applet linked to both examples, with numbers preloaded from examples

Cons

• Examples are numbered 1 and 4 instead of 1 and 2
• No independent / homework problems provided

Common Core

HSA-SSE.A.1.a HSA-SSE.B.3.c MP7