Slide 1: Introduction to Integers

• Definition of integers
• Positive and negative numbers
• The role of zero as neither positive nor negative

Slide 2: Understanding Positive and Negative Numbers

• Positive numbers: greater than 0 (e.g., +1, +2)
• Negative numbers: less than 0 (e.g., -1, -2)
• Examples of integers: ... -3, -2, -1, 0, +1, +2, +3 ...

Slide 3: Representing Integers on a Number Line

• Visual representation of integers on a number line
• Description of position and order of integers
• Example: Location of -3 and +3

Slide 4: Opposite Integers

• Definition of opposite integers
• Example: -3 and +3 are opposites
• Explanation of distance from zero on the number line

Slide 5: Integer Examples in Real Life

• Situations represented by integers, such as:
  • Losing money (-15)
  • Throwing a ball (+9)
  • Days from now (+17)
  • Elevator movement (-8)

Slide 6: Comparing Integers

• How to compare integers using a number line
• Example: Comparing +2 and -3
• Key statements: +2 > -3 and -3 < +2

Slide 7: Ordering Integers

• Instructions on ordering integers from least to greatest
• Example: Ordering +2, -3, 0, and +5: -3, 0, +2, +5
• Importance of number line orientation

Slide 8: Greater Than and Less Than Symbols

• Using > and < to compare integers
• Example questions:
  • +9 _____ 0
  • +7 _____ +2
• Fill in the blanks

Slide 9: Activity: Order Integers

• Task: Order given integers from greatest to least
• Examples to order:
  • a) +2, +4, -3
  • b) -3, +1, -4
• Solve as a class exercise

Slide 10: Modeling Integers with Tiles

• Introduction to using tiles to represent integers
• Concept of zero pairs in modeling
• Example: Modeling -3 with tiles

Slide 11: Practice with Tiles

• Exercises to write the integer represented by tile sets
• Create zero pairs and count remaining tiles
• Example: Tiles showing +3 or -5

Slide 12: Adding Integers Using Tiles

• Explanation of the process to add integers with tiles
• Example: (-2) + (-4) = -6
• Step-by-step guidance for counting tiles

Slide 13: More Examples of Adding Integers

• Practice problems:
  • (+3) + (-4)
  • Using tiles to find the sum
• Emphasizing the importance of zero pairs

Slide 14: The Magic Square Challenge

• Introduction to the magic square
• Task: Use each number from 1 to 9 to create sums of 15 in each row, column, and diagonal.

Slide 15: The Square Route Game

• Explanation of the Square Route game
• Task instructions for students
• Objective: Find the route with the greatest total through adding and subtracting

Slide 16: The Three Towers Game

• Overview of the Three Towers game for 2 to 4 players
• Rules for collecting points and game objectives
• Variation ideas for more gameplay

Slide 17: Integer Representation Review

• Quick recap on how integers can be represented
• Importance of visual aids such as number lines and tiles
• Engaging learners through interactive exercises

Slide 18: Key Takeaways

• Overview of major concepts covered about integers
• Importance of understanding integers in everyday math
• Encouragement to practice problems related to integers

Slide 19: Q&A Session

• Open floor for questions regarding integers
• Encourage students to share difficulties or confusions faced

Slide 20: Conclusion and Further Study

• Recap of the day's lesson
• Introduction to upcoming topics related to integers
• Encourage continuous practice with integers in different scenarios.