Free 9th Grade Real Numbers And Operations Lesson Plan

Topic: Real Numbers and Operations

Objectives & Outcomes

  • Students will be able to define real numbers and operations on real numbers.
  • Students will be able to perform basic operations with real numbers, including addition, subtraction, multiplication, and division.

Materials

  • Graph paper
  • Real numbers worksheets (one for each student)
  • Pencils
  • Calculator (optional)

Warm-up

  • Review the concept of integer numbers and operations on integer numbers. Ask students to give examples of integer numbers and operations on integer numbers they have already learned.
  • Next, introduce the concept of real numbers and operations on real numbers. Ask students to give examples of real numbers they have encountered in their everyday lives.

Direct Instruction

  • Review the properties of equality and how to use the equal sign to indicate that two expressions are equal.
  • Review the properties of addition and how to use the addition sign to indicate that two expressions are to be added.
  • Review the properties of subtraction and how to use the subtraction sign to indicate that two expressions are to be subtracted.
  • Review the properties of multiplication and how to use the multiplication sign to indicate that two expressions are to be multiplied.
  • Review the properties of division and how to use the division sign to indicate that two expressions are to be divided.

Direct Instruction

  • Use an example problem to show and guide students through the process of using the equal sign to indicate that two expressions are equal.
  • Use an example problem to show and guide students through the process of using the addition sign to indicate that two expressions are to be added.
  • Use an example problem to show and guide students through the process of using the subtraction sign to indicate that two expressions are to be subtracted.
  • Use an example problem to show and guide students through the process of using the multiplication sign to indicate that two expressions are to be multiplied.
  • Use an example problem to show and guide students through the process of using the division sign to indicate that two expressions are to be divided.

Guided Practice

  • Provide problems for students to work together in pairs or small groups to solve using the equal sign, addition sign, subtraction sign, multiplication sign, and division sign as appropriate.
  • Go around the room and have students share their solutions and explain their reasoning.

Independent Practice

  • Provide problems for students to work independently to solve using the equal sign, addition sign, subtraction sign, multiplication sign, and division sign as appropriate.
  • Allow students to use a variety of methods to solve the problems, including writing out their solution, using mental math, or using technology.

Closure

  • Reminder: Ensure that students understand the concepts covered in the lesson and can correctly use the equal sign, addition sign, subtraction sign, multiplication sign, and division sign.
  • Review the key concepts and skills learned in the lesson.

Assessment:

  • Observe students during the independent practice activity to assess their understanding of the concepts covered in the lesson.
  • Collect and grade the worksheets as a formative assessment.
  • Administer a quiz at a later date to assess students' understanding of the topic.

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