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What to createLesson plan
Which subjectMathematics
What topicAdding and Subtracting unlike Denominators
What length (min)30
What age groupYear or Grade 5
Include homework
Include images descriptions
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Lesson Plan: Adding and Subtracting Unlike Denominators

Subject: Mathematics

Grade: 5

Duration: 30 minutes

Objective

Students will be able to add and subtract fractions with unlike denominators by finding a common denominator, converting the fractions, and performing the operations.

Materials Needed

Introduction (5 minutes)

  1. Begin with a Review:

    • Ask students if they remember how to add and subtract fractions with the same denominator.
    • Write an example on the board, like ( \frac{1}{4} + \frac{2}{4} ).

  2. Introduce Unlike Denominators:

    • Explain that today, they will learn how to add and subtract fractions that have different denominators.
    • Use an example such as ( \frac{1}{3} + \frac{1}{6} ) to illustrate the need for a common denominator.

Direct Instruction (10 minutes)

  1. Finding a Common Denominator:

    • Explain the steps to find a common denominator:
      • Identify the denominators in the fractions.
      • Find the least common multiple (LCM) of the denominators.
    • Example: For ( \frac{1}{3} ) and ( \frac{1}{6} ), the denominators are 3 and 6. The LCM is 6.

  2. Convert the Fractions:

    • Show how to convert each fraction to an equivalent fraction with the common denominator:
      • Convert ( \frac{1}{3} ) to ( \frac{2}{6} ) (because ( 1 \times 2 = 2) and ( 3 \times 2 = 6)).

  3. Add/Subtract the Fractions:

    • Explain how to perform the operation once the fractions have the same denominator:
      • ( \frac{2}{6} + \frac{1}{6} = \frac{3}{6} )

  4. Simplifying the Result:

    • Discuss the importance of simplifying the final answer:
      • ( \frac{3}{6} ) can be simplified to ( \frac{1}{2} ).

Guided Practice (10 minutes)

  1. Provide an Example for Students to Solve Together:

    • Let's add ( \frac{2}{5} + \frac{1}{10} ).
    • Work through the steps together on the whiteboard:
      • Find the common denominator (10).
      • Convert ( \frac{2}{5} ) to ( \frac{4}{10} ).
      • Add: ( \frac{4}{10} + \frac{1}{10} = \frac{5}{10} = \frac{1}{2} ).

  2. Assign Similar Problems:

    • Have students work on:
      • ( \frac{3}{4} - \frac{1}{8} )
      • ( \frac{2}{3} + \frac{1}{6} )

Independent Practice (5 minutes)

  1. Worksheet Activity:
    • Distribute a worksheet with additional practice problems that include both addition and subtraction of fractions with unlike denominators.
    • Examples of problems:
      • ( \frac{5}{12} + \frac{1}{4} )
      • ( \frac{3}{8} - \frac{1}{2} )

Conclusion (5 minutes)

  1. Review Key Concepts:

    • Summarize the importance of finding a common denominator and converting fractions.
    • Reinforce simplifying fractions as a final step.

  2. Questions:

    • Encourage any questions or clarification on the concept.

Homework Assignment

Tasks: Complete the following problems on a separate sheet of paper.

  1. ( \frac{3}{5} + \frac{1}{10} )
  2. ( \frac{7}{8} - \frac{1}{4} )
  3. ( \frac{5}{6} + \frac{1}{2} )
  4. ( \frac{2}{9} - \frac{1}{3} )

Correct Answers:

  1. ( \frac{3}{5} + \frac{1}{10} = \frac{7}{10} )
  2. ( \frac{7}{8} - \frac{1}{4} = \frac{5}{8} )
  3. ( \frac{5}{6} + \frac{1}{2} = \frac{4}{3} ) or ( 1 \frac{1}{3} ) when converted to a mixed number
  4. ( \frac{2}{9} - \frac{1}{3} = \frac{1}{9} )

Note for Teachers

Encourage students to ask for help if they struggle with finding common denominators or simplifying fractions. Consider pairing up students for collaboration during independent practice to foster cooperative learning.