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Mastering Integers: Comparing, Adding, and Operations

This chapter focuses on essential concepts related to integers, including comparing, adding, subtracting, multiplying, and dividing integers. Key lessons cover how to identify opposites, compute sums and differences, and understand absolute values. Model problems illustrate each operation and the application of integers in coordinate planes and transformations, such as reflections and rotations. Through practice, students will enhance their comprehension of both positive and negative integers and gain confidence in performing calculations and graphing in a coordinate system.

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Mastering Integers: Comparing, Adding, and Operations

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  1. Chapter 11Integers By: Paris Durousseau & Autumn Farmer

  2. Review Words For 11.1 • Ordered Pairs • Coordinates • Mean • Congruent

  3. Lesson One: Comparing Integers Key Vocabulary Content and Model Problem In lesson one it tells you how to compare negative and positive integers and how to do the opposites Model Problem: Find the Opposite of -3 -3 -2 -1 0 1 2 3 • Integers • Negative Integers • Positive Integers • Opposites

  4. Lesson Two: Adding Integers Key Vocabulary Content and Model Problem In lesson two it explains to you how to add Positive Integers and Negative Integers. Model Problem: Find the sum -4+(-7)=? -8+3=? -6+9=? • Absolute Value

  5. Lesson Three: Subtracting Integers Key Vocabulary Content and Model Problem In lesson three it shows you how to subtract Positive Integers and Negative Integers and how to find the difference. Model Problem: Find the value of N in the problem. 4-N=7 -3-N=0 N-(-10)=5 • Opposites

  6. Lesson Four: Multiplying Integers Key Vocabulary Content and Model Problem In this lesson it tells you about how to multiply positive integers and negative integers. Model Problem: Find the Product!! -7(-4)=? • Negative Integer • Positive Integer

  7. Lesson Five: Dividing Integers Key Vocabulary Content and Model Problem In this lesson it tells you how to divide negative and positive integers. Model Problem: Solve the Equation -36 (-6)= • Mean

  8. Lesson Six: Translations in a Coordinate Plane Key Vocabulary Content and Model Problem In this lesson your learn about how to graph points on a coordinate plane but with integers. Model Problem: Find the coordinate (2,-4) • Coordinate Plane • Quadrants • Translation • Image

  9. Lesson Seven: Reflections and Rotations Key Vocabulary Content and Model Problem In this lesson it teaches you about reflections and rotations of a figure or shape. Model Problem: Tell whether the red figure is a reflection of the blue figure. • Reflection, Line of Reflection • Rotation, Center of Rotation, Angle of Rotation • Transformation

  10. Chapter Review • This chapter was about Integers and reflections/rotation. • Do you as a audience have any questions? • If so please ask now!!!(Raise your Hand)

  11. ?Questions?

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