Lesson Plan: Integers
Subject: Mathematics
Grade Level: 7
Duration: 30 Minutes
Objective
By the end of this lesson, students will be able to:
- Understand the concept of integers and their properties.
- Perform addition and subtraction with integers.
- Apply integers in real-life situations.
Materials Needed
- Whiteboard and markers
- Integer number line (visual aid)
- Worksheets for practice
- Colored pencils (optional)
Standards Alignment
This lesson aligns with the following Common Core State Standards for Mathematics:
- CCSS.MATH.CONTENT.7.NS.A.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.
Introduction (5 minutes)
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Engage Students:
- Ask students if they know what integers are.
- Provide a brief definition: "Integers are whole numbers that can be positive, negative, or zero."
- Display a number line on the board to illustrate the concept.
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Relevance:
- Discuss where integers are seen in real life (e.g., temperatures, bank transactions, elevations).
Direct Instruction (10 minutes)
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Properties of Integers:
- Explain the properties of integers (e.g., closure property, commutative property, associative property).
- Provide examples for each property using integers:
- Closure Property: When adding two integers, the result is always an integer. (e.g., (3 + (-5) = -2))
- Commutative Property: The order of numbers does not change the sum. (e.g., (a + b = b + a))
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Adding Integers:
- Explain how to add integers with examples:
- Same signs: Add the absolute values and keep the common sign.
- Example: (3 + 2 = 5), (-3 + (-2) = -5)
- Different signs: Subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value.
-
Subtracting Integers:
- Explain how to subtract integers using the rule: (a - b) is the same as (a + (-b)). Use examples to demonstrate:
- Example: (5 - 3 = 2) and (5 - (-3) = 5 + 3 = 8)
Guided Practice (10 minutes)
-
Whole Class Activity:
- Write a few integer addition and subtraction problems on the board and solve them as a class.
- Encourage students to raise their hands to share their thinking about each problem.
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Pair Work:
- Have students pair up and complete a worksheet with integer addition and subtraction problems.
- Circulate and provide assistance as needed.
Independent Practice (5 minutes)
- Assign 3-5 problems from the worksheet for students to complete on their own.
- Encourage them to use the number line for any difficult problems.
Closure (5 minutes)
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Review Key Concepts:
- Recap the main points of the lesson: What integers are, how to add and subtract them.
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Exit Ticket:
- Have students write down one fact they learned about integers and one question they still have.
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Assign Homework:
- Provide additional practice problems on integers for homework. Remind students to review their notes before attempting the assignment.
Assessment
- Monitor student understanding during pair work and independent practice.
- Review exit tickets to gauge comprehension and address remaining questions in the next class.
Reflection
- After the lesson, reflect on what went well and what could be improved for future lessons. Consider student engagement and understanding.
Additional Resources
- Links to online integer games and practice quizzes for extra practice outside of class.