Mastering-Integers.pptx .................

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1. Mastering Integers: Compare, Order, Add, and Subtract Using Concrete and Pictorial Models

2. Objectives By the end of this lesson, students will be able to: Compare and order integers. Locate integers on a number line. Add and subtract integers using concrete models, pictorial models, and numerals. Solve real-world problems involving integers.

3. Introduction Integers are an essential part of mathematics that help us understand positive and negative numbers in everyday contexts. From counting temperatures to calculating elevations, integers play a vital role in solving real-world problems. This lesson will guide you through comparing, ordering, adding, and subtracting integers using models and practical strategies. By exploring concrete tools like counters and number lines, you will build a strong foundation for working with integers confidently. Let’s dive into mastering these key skills together!

4. Activity 1: "Integer Race" : Students arrange themselves on an imaginary number line based on given integers.

5. Activity 2: “Integers Hunter” Students are given integers (e.g. -23, 4, -34 ) and plot them on a large number line drawn on the board.

6. Comparing and Ordering Integers Key Points: Positive integers are greater than negative integers. Larger positive integers > Smaller positive integers. Smaller negative integers (closer to zero) > Larger negative integers .

7. Locating Integers on the Number Line Key Points: Positive integers: Move right from 0. Negative integers: Move left from 0. Zero is the center of the number line.

8. Adding Integers Key Points: Same signs: Add absolute values and keep the sign. Different signs: Subtract smaller absolute value from larger and keep the larger sign.

9. Subtracting Integers Key Points: Subtraction is adding the opposite : . Here are some examples of subtracting integers:  6–3=3 : Positive 6 minus positive 3 equals positive 3 6–(−3)=6+3=9 : Positive 6 minus negative 3 equals positive 9 −3–(−5)=2 : Negative 3 minus negative 5 equals positive 2

10. Real-World Problems with Integers Examples: A submarine is 200 meters below sea level (). It rises 50 meters. What is its new position? The temperature was in the morning is 25 degree celsius and increased by 5. What is the new temperature?

11. Assessment: True or False Read each statement carefully and decide if it is true or false based on your understanding of integers. -5 is greater than -10 . Adding two negative integers always gives a positive result. Subtracting a negative integer is the same as adding its positive equivalent. Zero is neither positive nor negative. The sum of -5  and 7  is 9.

12. Assessment: Essay Read and explain each of the statements below. Explain the process of locating integers on a number line. Include examples of both positive and negative integers and describe how their positions relate to zero. Why is understanding the number line important in mathematics? Provide real-life scenarios where locating integers on a number line can be applied effectively.

13. Assessment: Problem solving Solve the following real-world problems involving integers. Show your solution clearly and explain your reasoning. During a football game, a team loses 10 yards on one play, gains 15 yards on the next, and loses 5 yards again. What is their net yardage? The temperature was in the morning and rose by noon. What was the temperature at noon?