Lesson Plan on Mixed Operations with Fractions, Decimals, and Whole Numbers

Lesson Title:Mixed Operations with Fractions, Decimals, and Whole Numbers

Lesson Objective: Students will be able to perform mixed operations (addition, subtraction, multiplication and division) with fractions, decimals and whole numbers with confidence and accuracy.

Materials:

  • Whiteboard and markers
  • Mixed operations worksheets
  • Manipulatives (fraction circles, fraction bars, base-10 blocks)
  • Calculator

    • Introduction (5 minutes):

  • Begin by reviewing the concepts of fractions, decimals and whole numbers.
  • Write the mixed number “3 and 3/4” on the board and ask students to identify the whole number, numerator and denominator parts.
  • Introduce the concept of mixed operations and why it is important.

    • Direct Instruction (20 minutes):

  • Provide students with manipulatives and have them create mixed numbers.
  • Have students practice mixed operations using the manipulatives.
  • As they work, circulate the room and provide individual assistance as needed.
  • Introduce the process of converting between fractions, decimals, and mixed numbers and simplifying the final result if possible.

    • Guided Practice (20 minutes):

  • Provide students with mixed operations worksheets and have them complete a set of problems together as a class.
  • Go over the answers together, discussing any misconceptions or difficulties that students may have had.
  • Have students practice converting between fractions, decimals, and mixed numbers and simplifying the final result using the calculator.

    • Independent Practice (20 minutes):

  • Give students additional mixed operations worksheets to complete on their own.
  • Encourage students to check their work and ask for assistance if needed.
  • Provide students with a real-life scenario where they have to use mixed operations, for example, calculating the total cost of a shopping list with different prices.

    • Closure (5 minutes):

  • Review the key concepts covered in the lesson, such as the process of converting between fractions, decimals, and mixed numbers and simplifying the final result.
  • Give students an opportunity to share any strategies or tips they found helpful during the lesson.
  • Preview the next lesson and the related homework.

    • Assessment:

  • Observe students during independent practice to assess their understanding of the concepts taught during the lesson.
  • Collect and review completed worksheets as a form of summative assessment.
  • Observe students during their real-life scenario activity and assess their ability to use mixed operations correctly.

    • Note: The above plan is a general outline and may need to be adapted depending on the specific needs and capabilities of the students in your class.