Algebra & Trigonometry

2 Acid Graph Copyright © 2026 Pearson Education, Inc. Acid Graph (50 – 60 minutes) Learning Objective(s):  Students will be able to choose the correct graph of a logarithmic function given the function. Materials needed:  Student pages: Acid Graph  Calculator Lesson Procedure: Warm–Up 10 minutes Prompt: Logarithms increase or decrease very quickly and then level off. What are some real-world scenarios that could be modeled with logarithms? Discuss: applications of logarithms Guided Instruction 15 minutes Present: scenario for Acid Graph Example: What is log5(0.2)? –1 Graph y = log5(x). Review: Logarithms are related to exponential functions. The base of the logarithm, to the power of the other side of the equation, equals what is inside the logarithm. Independent Practice 20 minutes Distribute: student activity Acid Graph Allow students to work individually or in pairs. Have students support each other during the activity. Remind students to use feedback to improve their calculations, recognizing errors and making new suggestions. Remind students to be courteous and use classroom-appropriate language. Closure 10–15 minutes Review Answers: 1. a. No, this is pH = 10-[H+]; b. No, this is pH = –log2[H+]; c. Yes. d. No, this is pH = log[H+]. 2. a. 2; b. 1.3; c. 4; When the concentration goes up 10 times, pH goes down 1. 3. a. 10; b. 10,000 Discuss: Why is using logarithms useful for discussing pH? (You can use small numbers rather than decimals with many digits or scientific notation.)

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