Title: Solving Decimal Addition and Subtraction Problems

Grade Level: 5th Grade

Objective: - Students will be able to solve routine and non-routine problems involving addition and subtraction of decimals and mixed decimals. - Students will understand the concept of place value and how it applies to decimal addition and subtraction. - Students will develop problem-solving skills and critical thinking abilities.

Materials: - Whiteboard or blackboard - Markers or chalk - Decimal manipulatives (optional) - Worksheets with decimal addition and subtraction problems - Pencils

Procedure:

1. Introduction (5 minutes):
   • Begin the lesson by reviewing the concept of decimals and their place value.
   • Ask students to share real-life situations where decimals are used, such as measuring ingredients for a recipe or calculating money.
   • Explain that today’s lesson will focus on solving addition and subtraction problems involving decimals.
2. Whole-Class Instruction (10 minutes):
   • Write a decimal addition problem on the board, such as 3.25 + 1.75.
   • Model the process of adding the decimals, emphasizing the importance of aligning the decimal points.
   • Guide students through the steps of adding the whole numbers and then the decimal parts.
   • Repeat the process with a few more examples, gradually increasing the complexity.
3. Guided Practice (15 minutes):
   • Distribute worksheets with decimal addition problems to each student.
   • Instruct students to solve the problems independently, using the strategies discussed in the whole-class instruction.
   • Circulate the classroom, providing assistance and guidance as needed.
   • After completing the addition problems, review the answers as a class, discussing any common mistakes or misconceptions.
4. Whole-Class Instruction (10 minutes):
   • Write a decimal subtraction problem on the board, such as 5.6 - 2.35.
   • Model the process of subtracting the decimals, again emphasizing the alignment of decimal points.
   • Guide students through the steps of subtracting the whole numbers and then the decimal parts.
   • Repeat the process with a few more examples, gradually increasing the complexity.
5. Guided Practice (15 minutes):
   • Distribute worksheets with decimal subtraction problems to each student.
   • Instruct students to solve the problems independently, using the strategies discussed in the whole-class instruction.
   • Circulate the classroom, providing assistance and guidance as needed.
   • After completing the subtraction problems, review the answers as a class, discussing any common mistakes or misconceptions.
6. Independent Practice (15 minutes):
   • Provide students with a set of routine and non-routine word problems involving decimal addition and subtraction.
   • Instruct students to solve the problems independently, applying the strategies learned during the lesson.
   • Encourage students to show their work and explain their reasoning.
   • Collect the completed worksheets for assessment purposes.
7. Conclusion (5 minutes):
   • Recap the key concepts covered in the lesson, including the steps for adding and subtracting decimals.
   • Ask students to reflect on their learning and share any challenges they encountered.
   • Provide positive feedback and reinforce the importance of practice in mastering decimal addition and subtraction.

Extension Activity (Optional): - Divide the class into small groups and provide each group with a set of decimal manipulatives. - Instruct students to create their own addition and subtraction problems using the manipulatives. - Encourage students to exchange problems with other groups and solve them collaboratively. - This activity promotes hands-on learning and reinforces the understanding of decimal operations.