Title: Adding and Subtracting Integer and Decimal Numbers

Grade Level: 6th grade

Objective: - Students will be able to add and subtract integer and decimal numbers from the thousandths to thousands place. - Students will understand the concept of place value and how it affects addition and subtraction.

Materials: - Whiteboard or blackboard - Markers or chalk - Worksheets with addition and subtraction problems - Calculators (optional)

Procedure:

1. Introduction (5 minutes):
   • Begin the lesson by reviewing the concept of place value and its importance in addition and subtraction.
   • Ask students to recall the different place values from the thousandths to thousands place.
2. Adding and Subtracting Integers (15 minutes):
   • Write an integer addition problem on the board, such as -3 + 5.
   • Explain the steps to add integers, emphasizing the importance of the sign.
   • Solve the problem together as a class, showing the steps and explaining each step.
   • Repeat the process with a few more examples, gradually increasing the difficulty level.
   • Provide opportunities for students to solve similar problems independently or in pairs.
3. Adding and Subtracting Decimal Numbers (15 minutes):
   • Write a decimal addition problem on the board, such as 2.35 + 1.78.
   • Explain the steps to add decimal numbers, aligning the decimal points and adding each place value.
   • Solve the problem together as a class, showing the steps and explaining each step.
   • Repeat the process with a few more examples, gradually increasing the difficulty level.
   • Provide opportunities for students to solve similar problems independently or in pairs.
4. Adding and Subtracting Mixed Numbers (15 minutes):
   • Write a mixed number addition problem on the board, such as 3.25 + 2.
   • Explain the steps to add mixed numbers, converting the whole number to a decimal and aligning the decimal points.
   • Solve the problem together as a class, showing the steps and explaining each step.
   • Repeat the process with a few more examples, gradually increasing the difficulty level.
   • Provide opportunities for students to solve similar problems independently or in pairs.
5. Practice Worksheets (15 minutes):
   • Distribute worksheets with a variety of addition and subtraction problems involving integers and decimal numbers.
   • Instruct students to solve the problems independently, showing their work and writing the final answer.
   • Circulate the classroom to provide assistance and guidance as needed.
   • Review the answers as a class, discussing any common mistakes or misconceptions.
6. Conclusion (5 minutes):
   • Summarize the key concepts covered in the lesson, emphasizing the importance of place value in adding and subtracting numbers.
   • Encourage students to practice these skills outside of the classroom to reinforce their understanding.
   • Answer any remaining questions and address any concerns before concluding the lesson.

Note: Adjust the difficulty level of the problems based on the students’ proficiency and prior knowledge.