Lesson Title: Exploring Equivalent Fractions with Related Denominators

Grade Level: Year 4

Duration: 60 minutes

Learning Objective: - Represent the equivalence of fractions with related denominators as lengths using concrete materials, diagrams, and number lines.

Differentiation: - Basic: Provide additional support and guidance to struggling students by using manipulatives and providing step-by-step instructions. - Sound: Encourage students to work independently and provide opportunities for them to explain their thinking and reasoning. - High: Challenge students to explore and discover patterns in equivalent fractions with related denominators and encourage them to extend their learning by exploring fractions with larger denominators.

Materials: - Fraction strips (concrete materials) - Whiteboard or chart paper - Markers - Rulers - Worksheets with fraction diagrams and number lines (differentiated for each level)

Procedure:

1. Introduction (5 minutes):
   • Begin the lesson by reviewing the concept of fractions and their parts (numerator and denominator).
   • Explain that today, students will be exploring equivalent fractions with related denominators.
   • Share the learning objective with the students.
2. Concrete Representation (15 minutes):
   • Distribute fraction strips to each student.
   • Instruct students to fold the fraction strip into halves, thirds, fourths, fifths, and so on, up to tenths.
   • Ask students to compare the lengths of the fractions and identify any patterns they notice.
   • Guide students to understand that fractions with related denominators have the same length.
3. Diagram Representation (20 minutes):
   • Divide the students into small groups.
   • Provide each group with a whiteboard or chart paper and markers.
   • Assign each group a fraction with a related denominator (e.g., 1/2, 1/3, 1/4, etc.).
   • Instruct the groups to draw a diagram representing the assigned fraction and its equivalent fractions with related denominators.
   • Encourage students to label the fractions and explain their reasoning.
4. Number Line Representation (15 minutes):
   • Distribute worksheets with fraction diagrams and number lines to each student (differentiated for each level).
   • Instruct students to complete the number lines by placing the equivalent fractions with related denominators in the correct positions.
   • Provide support and guidance to struggling students, while allowing more independent work for sound and high-level students.
   • Encourage students to check their answers and explain their reasoning.
5. Conclusion (5 minutes):
   • Gather the students together and review the concept of equivalent fractions with related denominators.
   • Ask students to share their findings and any patterns they discovered during the lesson.
   • Summarize the key points of the lesson and reinforce the learning objective.

Assessment: - Observe students’ participation and engagement during the concrete representation activity. - Review students’ diagrams and explanations during the diagram representation activity. - Assess students’ completion and accuracy of the number line representations on the worksheets.

Extension: - For high-level students, provide additional worksheets with fractions that have larger denominators (e.g., 1/12, 1/15, etc.) and challenge them to find equivalent fractions with related denominators.