Title: Exploring Number Patterns up to 100,000

Grade Level: 4th Grade

Duration: 2-3 class periods

Initial Competence: Students should have prior knowledge of place value up to 100,000 and be able to identify and extend number patterns up to 10,000.

Learning Objectives: 1. Identify and extend number patterns up to 100,000. 2. Recognize the relationship between the position of digits and their value within a number. 3. Apply number patterns to solve real-life problems. 4. Communicate and explain their reasoning using appropriate mathematical language.

Meaningful Understanding: Students will develop a deep understanding of number patterns and their significance in real-life situations. They will recognize the patterns in numbers up to 100,000 and be able to extend and predict the next terms in a sequence. By exploring various patterns, students will strengthen their number sense and problem-solving skills.

Starter Question: “What is a number pattern? Can you give an example of a pattern you have noticed in numbers?”

Learning Preparation: - Whiteboard or chart paper - Markers - Number cards (0-9) - Manipulatives (e.g., base-10 blocks, place value disks) - Worksheets or handouts with number patterns

Learning Activities:

1. Introduction (10 minutes):
   • Review the concept of number patterns and their importance in mathematics.
   • Discuss real-life examples of number patterns (e.g., counting by 2s, 5s, or 10s).
   • Ask students to share any patterns they have noticed in numbers.
2. Exploring Number Patterns (20 minutes):
   • Display a number pattern on the board, such as: 10, 20, 30, 40, __, __, __.
   • Ask students to identify the pattern and predict the next three terms.
   • Discuss their predictions and reasoning as a class.
   • Introduce the concept of skip counting and its connection to number patterns.
3. Extending Number Patterns (30 minutes):
   • Provide students with a set of number cards (0-9) and ask them to create their own number patterns up to 100,000.
   • Encourage students to use different skip counts, such as 3s, 4s, or 25s.
   • Allow students to work individually or in pairs to create and extend their patterns.
   • Have students share their patterns with the class, explaining the rule they used to generate the sequence.
4. Applying Number Patterns (20 minutes):
   • Provide students with real-life scenarios where number patterns can be applied, such as calculating the number of days in a year or the number of hours in a week.
   • Ask students to identify the pattern and use it to solve the problem.
   • Discuss their solutions and reasoning as a class.
5. Assessment (10 minutes):
   • Distribute worksheets or handouts with number patterns for students to complete independently.
   • Review their work to assess their understanding of identifying and extending number patterns up to 100,000.
   • Provide feedback and address any misconceptions.
6. Conclusion (5 minutes):
   • Recap the main concepts covered in the lesson.
   • Encourage students to continue exploring number patterns in their daily lives.
   • Allow time for questions and clarifications.

Note: The duration of each activity may vary based on the pace and needs of the students.