7th Grade Adding And Subtracting Rational Numbers Lesson Plan Example (Math)

Topic: Adding and subtracting rational numbers

Objectives & Outcomes

  • Understand how to add and subtract rational numbers.
  • Be able to solve problems involving adding and subtracting rational numbers.

Materials

  • Rational numbers (can be represented as fractions or decimals)
  • Pencils and paper for writing

Warm-up

  • Have students solve a few problems involving adding and subtracting fractions. For example, "Add and simplify
  • For example:
  • Ask students if they notice any patterns in the solutions to these problems.
  • Next, have students work with a partner to solve a few problems involving adding and subtracting fractions. Encourage them to use the patterns they noticed earlier.

Direct Instruction

  • Introduce the concept of a rational number and explain that it is a number that can be expressed as a fraction.
  • Explain that when adding and subtracting rational numbers, we must make sure that the fractions have the same denominator. For example, if we are adding
  • For example:
  • Next, have students work in pairs to solve a few problems involving adding and subtracting rational numbers. Encourage them to make sure that the fractions have the same denominator.

Guided Practice

  • Provide students with a few more problems to solve, this time with written guidance.
  • For example:
  • Have students work in pairs to solve the problems and check their answers with a calculator.
  • Allow time at the end of the lesson for students to ask questions and make sure they understand the concepts.
  • Additional Practice
  • Provide students with a worksheet containing more problems to solve involving adding and subtracting rational numbers.
  • Have students work in pairs to solve the problems and check their answers with a calculator.

Independent Practice

  • For the independent practice activity, have students work on a project-based lesson.
  • Give them a real-world example of adding and subtracting rational numbers (e.g. planning a party menu)
  • Have them draw a diagram to represent the problem, and use mathematical language to explain how they solved it.
  • Have students present their solutions to the class and explain their reasoning.

Closure

  • Review the key points of the lesson, including the terminology and strategies for adding and subtracting rational numbers.
  • Ask students to share something they found interesting or surprising about the topic.

Assessment

  • Observe students during the group work activity to assess their understanding of the concept.
  • Have students complete a short quiz or worksheet to check their understanding.

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