aidemia--modules-lessonplan_request	Titles of parts of the lesson must be formatted as headings
What to create	Lesson plan
Which subject	Mathematics
What topic	Place value
What length (min)	30
What age group	Year or Grade 5
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Mathematics Lesson Plan: Place Value

Subject: Mathematics

Grade: 5

Topic: Place Value

Duration: 30 minutes

Learning Objectives

• Students will understand the concept of place value in the decimal number system.
• Students will be able to identify the value of digits in whole numbers up to 1,000,000.
• Students will practice converting between numeral form and expanded form.

Materials Needed

• Whiteboard and markers
• Place Value Charts
• Worksheet for exercises
• Pencils

Introduction (5 minutes)

• Engagement: Begin the lesson by asking students what they know about numbers and their values. Elicit responses about how the position of digits affects their value (e.g., the number '5' in '50' versus '5').

• Set the Context: Explain that place value helps us understand the worth of each digit according to its position in a number.

Direct Instruction (10 minutes)

1. Explain Place Value:

   • Introduce the place value chart, including columns for Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, and Millions.
   • Write some examples on the board, such as:
     • 2,345: Explain that the 2 is in the thousand's position, thus worth 2,000.
     • 45,678: Explain the value of each digit based on their position.

2. Expand the Number: Show how to write a number in expanded form:

   • 2,345 = 2000 + 300 + 40 + 5

3. Practice with Students:

   • Ask students to verbally state the value of digits in a few examples you provide.

Guided Practice (10 minutes)

• Hand out worksheets with various exercises relating to place value.

• Example problems include:

  1. Write the place value of underlined digits in the following numbers:
     a) _4_521 – (4,000)
     b) 23_8_45 – (8,000)
  2. Write the following numbers in expanded form:
     a) 4,702
     b) 56,138

• Circulate the room, provide assistance as needed, and review answers together.

Independent Practice (5 minutes)

• Provide students with additional problems to complete on their own:

  1. Identify the place value: a) In 67,891, what is the value of 7?
     b) In 519,452, what is the value of 9?

  2. Write the numbers in expanded form: a) 12,306
     b) 148,907

Conclusion (5 minutes)

• Recap the importance of understanding place value.
• Invite students to share their answers and any challenges they faced during the exercises.
• Reinforce that knowing place value is crucial for higher mathematics.

Homework

Task: Complete the following exercise for homework.

1. Write the place value of the underlined digit: a. _3_587
   b. 56_9_34

2. Write the following numbers in expanded form: a. 2,014
   b. 43,206

Answers:

1. a) 3,000
   b) 9,000

2. a) 2,000 + 0 + 14
   b) 40,000 + 3,000 + 200 + 6

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This lesson plan aligns with the Irish curriculum's goals for mathematics at the fifth-grade level, focusing on enhancing students’ understanding and application of place value.