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Contents "cheat sheet on mathematics class 6"
Divisibility of numbers
1. Divisors and multiples
2. Signs of divisibility by 10, by 5 and by 2
3. Signs of divisibility by 9 and by 3
4. Simple and compound numbers
5. Decomposition into prime factors
6. The greatest common divisor. Mutually prime numbers
7. Least common multiple
Addition and subtraction of fractions with different denominators
8. The main property of a fraction
9. Fraction reduction
10. Reduction of fractions to the common denominator
11. Comparison, addition and subtraction of fractions with different denominators
12. Addition and subtraction of mixed numbers
Multiplication and division of ordinary fractions
13. Multiplication of fractions
14. Finding a fraction of the number
15. Application of the distribution property of multiplication
16. Mutually inverse numbers
17. Division
18. Finding the number by its fraction
19. Fractional expressions
Relations and proportions
20. The ratio of two numbers
21. Proportions
22. Direct and inverse proportional dependencies
23. The scale
24. The length of the circle and the area of the circle
25. The ball
Positive and negative numbers
26. Coordinates on the line
27. Opposite numbers
28. The number module
29. Comparison of numbers
30. Changing the values
Addition and subtraction of positive and negative numbers
31. Addition of numbers by means of a coordinate line
32. Addition of negative numbers
33. Addition of numbers with different signs
34. Subtraction
Multiplication and division of positive and negative numbers
35. Multiplication
36. Division
37. Rational numbers
38. Properties of actions with rational numbers
The solution of equations
39. Opening parentheses
40. The coefficient
41. Such terms
42. Solving Equations
Coordinates in the plane
43. The coordinate plane
44. Perpendicular lines
45. Parallel straight lines
Textbook for 6 grades of general education institutions. The material is presented in the form most accessible to the child. This textbook is the most popular textbook on mathematics of the 6th grade ...
A reference book for 6 classes, containing the basic mathematical definitions, formulas.
Mathematics - the science of structures, order and relationships, which historically was based on the operations of calculating, measuring and describing the forms of real objects. Mathematical objects are created by idealizing the properties of real or other mathematical objects and recording these properties in a formal language. Mathematics does not belong to the natural sciences, but is widely used in them both for the precise formulation of their content and for obtaining new results. Mathematics is a fundamental science that provides (common) linguistic resources to other sciences; thereby revealing their structural interconnection and facilitating the discovery of the most general laws of nature.
Modern theoretical ("pure") mathematics is the science of mathematical structures, mathematical invariants of various systems and processes
Mathematics is a science that provides the possibility of calculating models that are reducible to the standard (canonical) form. The science of finding solutions of analytical models (analysis) by means of formal transformations
The question of the foundations of mathematics and what is ultimately mathematics remains open. We do not know any direction that will eventually find the final answer to this question, and can we in general expect that such a "final" answer will ever be received and recognized by all mathematicians
Mathematics as an academic discipline is divided into sections of mathematics studied in the sixth grade
arithmetic,
elementary algebra
elementary geometry: planimetry and stereometry
theory of elementary functions and elements of analysis
The academic subject "Mathematics 6 class"
It is studied in grade 6 and is designed for 175 hours. The study of the subject contributes to the solution of the following tasks:
· Acquisition of mathematical knowledge and skills;
· Mastering generalized ways of thinking, creative activities;
at the sixth grade level
In the future, the program "Mathematics 6 grade cheat sheet" will be attached to the "math class 6 rezhebnik" mathematician.