Lesson Plan Template
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Grade
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Subject
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Section
Sixth
Math
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Competency
Integers
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Aligned Standards
The Number System
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Strand
6.NS.C.6c
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Vocabulary
Integer: A number without a fractional part (e.g., -3, 0, 2).
Positive Integer: A number greater than zero (e.g., 1, 2, 3).
Negative Integer: A number less than zero (e.g., -1, -2, -3).
Represent Integers on Number Lines
Prerequisite Skill
Materials and Preparation
- Number lines (printed or drawn on the board)
- Integer cards (cards with different integers written on them)
- Worksheets for guided practice, independent practice, and assessment
- Graph paper
- Scuba diver and stock market scenario cards
Learning Objectives
- Students will understand the concept of integers, including positive and negative numbers and zero.
- Students will be able to identify and plot integers on a number line.
- Students will use integers to represent real-world situations.
Introduction
Begin the lesson by explaining that an integer is any number that is not a fraction or decimal. Use the examples: -4, 0, and 2. Demonstrate that numbers like 2.5 and -½ are not integers. Show how integers can be plotted on a number line, with negative integers to the left of zero and positive integers to the right.
Explicit Instruction/Teacher modeling
Explain that integers are used in everyday life to represent various situations, such as temperature changes, financial gains or losses, and elevations above or below sea level. Show examples such as a pearl diver being 12 feet below sea level represented by -12 and a 20-point gain in the stock market represented by +20.
Guided Practice
Distribute number lines to students. Ask them to plot given integers on their number lines. For instance, plot 4 and -6. Walk around the room to check their work and provide assistance as needed. Then, give them real-world scenarios and ask them to represent these scenarios with integers.
Independent Practice
Provide worksheets with exercises that require students to plot integers on number lines and use integers to represent real-world situations. Encourage students to work independently, but be available for questions.
Differentiation
Support
- Provide additional number line practice for students who need it.
- Offer one-on-one help to students struggling with the concept of negative integers.
- Use visual aids and manipulatives to reinforce learning.
Extension
- Explore absolute value and how it represents the distance of an integer from zero on the number line.
- Introduce more complex real-world problems involving integers, such as financial budgets or temperature changes over time.
Assessment
Use an assessment worksheet that includes problems on plotting integers on number lines and using integers in real-world contexts. Evaluate their understanding based on their accuracy and ability to explain their reasoning.
Review and closing
Review the key points of the lesson, addressing any common misconceptions such as confusing positive and negative integers or placing them incorrectly on the number line. Allow students to ask any final questions or share observations. Reinforce the importance of integers in real-world applications.
Misconceptions
- Positive and Negative Signs: Students might confuse the signs; clarify that positive integers are to the right of zero and negative integers to the left.
- Zero’s Position: Emphasize that zero is neither positive nor negative and is the central point on the number line.
- Integer Representation: Ensure students understand that integers are whole numbers without fractional parts.