Grade 7 Mathematics Lesson Plan: Understanding Fractions

Materials Needed:

  • Whiteboard and markers
  • Fraction strips or fraction circle manipulatives
  • Worksheets with fraction problems
  • Rulers for measuring and creating fractions
  • Computers or tablets with fraction games and interactive exercises (if available)

Learning Objectives:

  • Understand the concept of fractions as parts of a whole.
  • Compare and order fractions.
  • Perform basic operations with fractions (addition and subtraction).
  • Apply knowledge of fractions to solve real-life problems.


  1. Fraction – Represents a part of a whole or a division of quantities.
  2. Numerator – The top number in a fraction that tells how many parts are being considered.
  3. Denominator – The bottom number in a fraction that shows into how many parts the whole is divided.
  4. Equivalent Fractions – Fractions that have different numerators and denominators but represent the same value.
  5. Mixed Number – A whole number and a fraction combined into one value.

Previous Learning:

Students should be familiar with basic division and the concept of dividing a whole into equal parts.

Anticipated Challenges and Solutions:

  • Challenge: Difficulty in understanding how fractions can represent different values despite having different numerators and denominators.
  • Solution: Use fraction manipulatives to visually demonstrate how different fractions can represent the same amount.

Beginning Activities (4 minutes):

  • Start with a simple exercise: ask students to divide a whole (like a chocolate bar or a pizza drawn on the board) into different fractions.
  • Briefly review what fractions are and how they are written.

Middle Activities (32 minutes):

  1. Direct Instruction (8 minutes): Explain the terms numerator and denominator using examples on the whiteboard.
  2. Guided Practice (12 minutes): Use fraction strips or circles to help students visualize and compare fractions. Perform exercises where students find equivalent fractions.
  3. Independent Practice (12 minutes): Students complete worksheets that include problems on ordering fractions and adding/subtracting fractions with like denominators.

End Activities (4 minutes):

  • Exit Ticket: Students write one sentence on what they found most interesting about fractions and one question they still have.
  • Review and Recap: Quick recap of the key concepts covered in the lesson, emphasizing the practical uses of fractions in everyday life.

Assessment and Checks for Understanding:

  • Observations and interactions during the guided practice to assess students’ ability to manipulate and understand fractions.
  • Analysis of completed worksheets for accuracy and understanding.
  • Responses from the exit tickets to gauge remaining uncertainties or misconceptions.

Differentiation Strategies for Diverse Learners:

  • Scaffolding: Provide additional visual aids and step-by-step breakdowns for students struggling with concepts.
  • Extension Activities: Encourage advanced students to explore adding and subtracting fractions with different denominators and introduce them to multiplying fractions.

Teaching Notes:

  • Emphasize the importance of fractions in real-life contexts, such as cooking, dividing resources, and understanding proportions.
  • Encourage collaborative learning by having students explain their understanding of fractions to peers.
  • Be ready to provide individual support during independent practice, especially for students who might find fraction operations challenging.

This lesson plan aims to build a solid foundation in understanding and working with fractions, which is crucial for students’ success in mathematics as they progress to more advanced topics.

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