Math9-12+
Logarithmic and Exponential Functions Practice Set
By Marina C.
A reading passage and practice set for 9th graders that explains how logarithms and exponentials are inverse ideas, with worked connections between the two forms. It builds skills in converting between exponential and logarithmic statements and reasoning about bases, exponents, and results, and is well suited to a 45-minute math block or small-group review.
Customize for your classroom
Teacher Guide & Tips
- Use this as a warm-up or guided reading before a lesson on converting between exponential and logarithmic form, having students read the opening passage aloud and restate the example (2 cubed equals 8, so log base 2 of 8 equals 3) in their own words.
- Discussion question: Why does the logarithm answer the question "What power must we raise the base to?" and how does that match the exponential statement?
- Scaffold for struggling readers: Provide a two-column chart with exponential form on one side and logarithmic form on the other, and have students fill in a few pairs before attempting the practice problems.
- Extension for advanced students: Ask them to explain why the base must be positive and not equal to 1, and to test what happens with a negative base or base 1.
- Estimated time: about 15 to 20 minutes for the reading and discussion, plus 20 to 25 minutes for the practice problems.
Math9-12+
Logarithmic and Exponential Functions Practice Set
By Marina C.
A reading passage and practice set for 9th graders that explains how logarithms and exponentials are inverse ideas, with worked connections between the two forms. It builds skills in converting between exponential and logarithmic statements and reasoning about bases, exponents, and results, and is well suited to a 45-minute math block or small-group review.
Customize for your classroom
Teacher Guide & Tips
- Use this as a warm-up or guided reading before a lesson on converting between exponential and logarithmic form, having students read the opening passage aloud and restate the example (2 cubed equals 8, so log base 2 of 8 equals 3) in their own words.
- Discussion question: Why does the logarithm answer the question "What power must we raise the base to?" and how does that match the exponential statement?
- Scaffold for struggling readers: Provide a two-column chart with exponential form on one side and logarithmic form on the other, and have students fill in a few pairs before attempting the practice problems.
- Extension for advanced students: Ask them to explain why the base must be positive and not equal to 1, and to test what happens with a negative base or base 1.
- Estimated time: about 15 to 20 minutes for the reading and discussion, plus 20 to 25 minutes for the practice problems.