Title: Adding and Subtracting Decimals and Mixed Decimals through Ten Thousandths

Grade Level: 5th grade

Objective: - Students will be able to add and subtract decimals and mixed decimals through ten thousandths without or with regrouping. - Students will understand the concept of regrouping when necessary. - Students will apply their knowledge of place value to accurately add and subtract decimals.

Materials: - Whiteboard or blackboard - Markers or chalk - Decimal grids or place value charts - Decimal manipulatives (optional) - Worksheets or practice problems

Procedure:

1. Introduction (5 minutes):
   • Begin the lesson by reviewing the concept of decimals and their place value.
   • Ask students to recall the value of each place in a decimal number (tenths, hundredths, thousandths, ten thousandths).
   • Discuss the importance of place value when adding and subtracting decimals.
2. Adding Decimals without Regrouping (10 minutes):
   • Write a simple addition problem on the board, such as 3.25 + 1.75.
   • Model the addition process step-by-step, emphasizing the importance of aligning the decimal points.
   • Encourage students to add the whole numbers first, then the decimal parts.
   • Provide additional examples and allow students to practice adding decimals without regrouping.
3. Adding Decimals with Regrouping (15 minutes):
   • Introduce a more complex addition problem, such as 4.89 + 2.73.
   • Explain the concept of regrouping when the sum of the decimal parts exceeds 10 (e.g., 9 + 3 = 12).
   • Model the regrouping process step-by-step, using decimal grids or place value charts if necessary.
   • Provide additional examples and allow students to practice adding decimals with regrouping.
4. Subtracting Decimals without Regrouping (10 minutes):
   • Write a simple subtraction problem on the board, such as 5.32 - 1.25.
   • Model the subtraction process step-by-step, emphasizing the importance of aligning the decimal points.
   • Encourage students to subtract the whole numbers first, then the decimal parts.
   • Provide additional examples and allow students to practice subtracting decimals without regrouping.
5. Subtracting Decimals with Regrouping (15 minutes):
   • Introduce a more complex subtraction problem, such as 7.89 - 3.73.
   • Explain the concept of regrouping when the minuend’s decimal part is smaller than the subtrahend’s decimal part.
   • Model the regrouping process step-by-step, using decimal grids or place value charts if necessary.
   • Provide additional examples and allow students to practice subtracting decimals with regrouping.
6. Mixed Decimals (10 minutes):
   • Introduce mixed decimals, which include both whole numbers and decimal parts (e.g., 3.25 + 2).
   • Explain that mixed decimals can be converted into decimals by adding a zero after the whole number (e.g., 3.25 + 2.00).
   • Model the addition process step-by-step, emphasizing the importance of aligning the decimal points.
   • Provide additional examples and allow students to practice adding mixed decimals.
7. Conclusion (5 minutes):
   • Review the key concepts covered in the lesson: adding and subtracting decimals and mixed decimals through ten thousandths without or with regrouping.
   • Encourage students to practice these skills independently using worksheets or online resources.
   • Address any remaining questions or concerns from the students.

Note: The duration of each section can be adjusted based on the students’ understanding and progress.