Summary of "7.Sınıf Matematik 1.Dönem 1.Yazılıya Hazırlık 📑 #7MAT1D1Y #2026"

Summary of the Video: “7.Sınıf Matematik 1.Dönem 1.Yazılıya Hazırlık 📑 #7MAT1D1Y #2026”

Main Ideas and Concepts Covered

The video is a comprehensive review and preparation guide for 7th grade mathematics, focusing on the 1st term 1st written exam. It is fully aligned with the Ministry of National Education’s sample questions and scenarios. The instructor, Mr. Tonguç, guides students through key topics, explanations, properties, and sample problems with detailed step-by-step solutions.

Topics Covered

Operations with Integers
- Addition and Subtraction of Integers:
  - Same signs: add absolute values, keep the sign.
  - Different signs: subtract smaller absolute value from larger, keep the sign of the larger.
  - Subtraction is converted into addition by changing the sign of the second number.
  - Properties of addition:
    - Commutative property (changing order).
    - Associative property (grouping).
    - Identity element (0).
    - Additive inverse (opposite numbers).
Multiplication and Division of Integers
- Same signs → positive result.
- Different signs → negative result.
- Properties of multiplication:
  - Commutative property.
  - Associative property.
  - Identity element (1).
  - Absorbing element (0).
  - Multiplicative inverse (reciprocal).
  - Distributive property over addition and subtraction.
Integer Powers
- Positive number raised to any power is positive.
- Negative number raised to even power → positive result.
- Negative number raised to odd power → negative result.
- Importance of parentheses in powers (e.g., -5² vs (-5)²).
Rational Numbers
- Definition: numbers expressed as a fraction a/b, where b ≠ 0.
- Integers are rational numbers with denominator 1.
- Zero divided by any non-zero number is 0.
- Representation on the number line:
  - Proper fractions between 0 and 1 or -1 and 0.
  - Mixed numbers for values between integers.
- Decimal representation of rational numbers:
  - Conversion of fractions to decimals by adjusting denominators (10, 100, 1000).
  - Recurring decimals and their conversion to fractions using subtraction method.
- Exercises on locating rational numbers on the number line.
Sample and Practice Questions
- Real-life integer problems (e.g., temperature changes, iceberg depth).
- Grouping problems with integers summing to zero.
- Word problems involving rates and proportional reasoning.
- Finding smallest or largest products by multiplying integers with different signs.
- Exponential expressions formed from given bases and powers.
- Scoring problems based on powers of positive/negative numbers.
- Associative, commutative, and identity properties in addition.
- Rational number identification and equivalence.
- Fraction to decimal conversions and vice versa.
- Painting and fraction problems in geometric contexts.
Exam Preparation Tips and Study Guide
- Emphasis on writing clear, step-by-step solutions (no multiple choice or true/false).
- Use of “written meter” to track progress and predict scores.
- Recommended pages to study from written notes and practice tests (pages 7-13, 17-26).
- Encouragement to complete all written exams and exercises for guaranteed success.
- Links and codes provided for accessing resources and videos.
- Encouragement to use open-ended questions for better exam preparation.

Methodology / Instructions Presented

Addition/Subtraction of Integers:
- If signs are the same → add absolute values, keep sign.
- If signs differ → subtract smaller from larger absolute value, keep sign of larger.
- Convert subtraction into addition by changing the sign of the second number.
Multiplication/Division of Integers:
- Same signs → result positive.
- Different signs → result negative.
Integer Powers:
- Even powers of negative numbers → positive.
- Odd powers of negative numbers → negative.
- Parentheses affect the sign of the result.
Converting Recurring Decimals to Fractions:
- Write whole number without decimal.
- Subtract non-recurring part.
- Divide by as many 9s as digits in recurring part and as many 0s as digits in non-recurring part.
- Simplify the fraction.
Solving Word Problems:
- Translate problem into integer operations.
- Use number line for visualization.
- Apply properties of operations.
- Write clear, stepwise solutions.
Using the Written Meter:
- Track completion of notes and practice tests.
- Aim for full completion for score guarantees (80, 90, 100).
- Follow recommended study pages and exercises.

Key Lessons

Mastery of integer operations is crucial for 7th grade math exams.
Understanding properties of operations (commutative, associative, identity, inverse, distributive) helps simplify calculations.
Recognizing the effect of signs in multiplication, division, and powers is essential.
Rational numbers can be represented in multiple forms: fractions, decimals (including recurring), and on the number line.
Practice with open-ended questions improves writing and problem-solving skills, aligning with current exam formats.
Systematic study using recommended materials and tracking progress with the written meter increases chances of high exam scores.

Speakers / Sources Featured

Mr. Tonguç (main instructor and narrator throughout the video)
Occasional references to “Tonguç Kerim” or “Tonguç Eren” (likely the same instructor addressing the student)
Ministry of National Education (MEB) sample questions and scenarios as official sources for exam alignment

End of Summary