Title: Calculations with Significant Figures

Learning Intention: Students will be able to perform calculations using significant figures accurately and understand the rules for rounding and determining the number of significant figures in a result.

Lesson Outline:

1. Introduction (5 minutes) a. Greet the students and explain the learning intention for the lesson. b. Discuss the importance of significant figures in scientific calculations and measurements.

2. Review of Significant Figures (10 minutes) a. Recap the concept of significant figures and their purpose in representing the precision of a measurement. b. Remind students of the rules for determining significant figures: i. Non-zero digits are always significant. ii. Any zeros between non-zero digits are significant. iii. Leading zeros (zeros before the first non-zero digit) are not significant. iv. Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point present. v. Trailing zeros without a decimal point are not significant.

3. Addition and Subtraction with Significant Figures (15 minutes) a. Explain the rules for addition and subtraction with significant figures: i. The result should be rounded to the least number of decimal places in the original numbers. b. Provide examples and guide students through the process of performing addition and subtraction calculations while considering significant figures. c. Allow students to practice a few problems independently or in pairs.

4. Multiplication and Division with Significant Figures (15 minutes) a. Explain the rules for multiplication and division with significant figures: i. The result should be rounded to the least number of significant figures in the original numbers. b. Provide examples and guide students through the process of performing multiplication and division calculations while considering significant figures. c. Allow students to practice a few problems independently or in pairs.

5. Combined Operations (15 minutes) a. Introduce examples that involve both addition/subtraction and multiplication/division. b. Guide students through the process of performing calculations with multiple operations while considering significant figures. c. Allow students to practice a few problems independently or in pairs.

6. Summary and Reflection (5 minutes) a. Summarize the key points covered in the lesson. b. Ask students to reflect on their understanding of calculations with significant figures and any challenges they encountered. c. Address any questions or concerns raised by the students.

7. Conclusion (5 minutes) a. Reinforce the importance of using significant figures in scientific calculations. b. Provide additional resources or practice problems for students to continue practicing calculations with significant figures. c. Thank the students for their participation and effort in the lesson.