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Grade 6
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Mathematics
Mathematics · Grade 6
34/34 weeks ready · M.A. Mirzaahmedov, A.A. Rahimqoriyev, Sh.N. Ismailov, M.A. To‘xtaxodjayeva. Mathematics Grade 6, 2nd edition. O‘qituvchi NMIU, Tashkent, 2017
Chapter I
Divisibility of numbers (with review)
1
Review. Divisors and multiples
1. Review of Grade 5
2. Divisors and multiples of a number
Quiz (8)
Homework
2
Divisibility tests: 10, 5, 2, 9 and 3
3. Divisibility tests for 10, 5 and 2
4. Divisibility tests for 9 and 3
Quiz (8)
Homework
3
Prime and composite numbers. Prime factors
5. Prime and composite numbers
6. Factoring natural numbers into primes
Quiz (8)
Homework
4
GCD, LCM and coprime numbers
7. Greatest common divisor. Coprime numbers
8. Least common multiple
Quiz (8)
Homework
Chapter II
Adding and subtracting fractions with different denominators
5
The basic property of fractions and reducing fractions
9. The basic property of a fraction
10. Reducing fractions
Quiz (8)
Homework
6
Common denominators and comparing fractions
11. Bringing fractions to a common denominator
12. Comparing fractions with different denominators
Quiz (8)
Homework
7
Fractions with different denominators and mixed numbers: adding and subtracting
13. Adding and subtracting fractions with different denominators
14. Adding and subtracting mixed numbers
Quiz (8)
Homework
Chapter III
Multiplying and dividing fractions
8
Multiplying fractions and finding a part of a number
15. Multiplying fractions and mixed numbers
16. Finding a part of a number
Quiz (8)
Homework
9
The distributive law and reciprocal numbers
17. The distributive law of multiplication and its uses
18. Reciprocal (mutually inverse) numbers
Quiz (8)
Homework
10
Dividing fractions and finding a number from its part
19. Dividing fractions
20. Finding a number from its part
Quiz (8)
Homework
Chapter IV
Ratio and proportion
11
Ratio, proportion and its basic property
21. The ratio. Proportions
22. The basic property of a proportion
Quiz (8)
Homework
12
Problems with proportions. Direct and inverse proportionality
23. Uses of the basic property of a proportion
24. Directly and inversely proportional quantities
Quiz (8)
Homework
13
Applications of proportion and scale
25. Applications of direct and inverse proportionality
26. Scale
Quiz (8)
Homework
Chapter V
Positive and negative numbers. Integers
14
Positive and negative numbers. The coordinate line
27. Positive and negative numbers. Integers
28. The coordinate line. Showing positive and negative numbers on the number line
Quiz (8)
Homework
15
Opposite numbers, modulus and comparing numbers
29. Opposite numbers. The absolute value (modulus)
30. Comparing numbers. Change of quantities
Quiz (8)
Homework
Chapter VI
Adding and subtracting positive and negative numbers
16
Adding on the number line and adding negative numbers
31. Adding and subtracting with the coordinate line
32. Adding numbers with negative signs
Quiz (8)
Homework
17
Adding numbers with different signs and subtracting numbers
33. Adding numbers with different signs
34. Subtracting numbers
Quiz (8)
Homework
Chapter VII
Multiplying and dividing positive and negative numbers
18
Multiplying and dividing positive and negative numbers
35. Multiplying positive and negative numbers
36. Dividing positive and negative numbers
Quiz (8)
Homework
19
Rational numbers, powers, square roots and repeating decimals
37. Rational numbers and the properties of operations on them
38. Powers, square roots and the idea of a repeating decimal
Quiz (8)
Homework
Chapter VIII
Solving equations
20
Removing brackets, coefficients and linear equations
39. Rule for removing brackets. The coefficient
40. Solving linear equations with one unknown and integer coefficients
Quiz (8)
Homework
21
Equations with fractional coefficients
41. Simple linear equations with fractional coefficients
Quiz (8)
Homework
Chapter IX
Data
22
Tables and diagrams
42. Tables
43. Diagrams (charts)
Quiz (8)
Homework
23
Data analysis and elements of combinatorics
44. Data analysis
45. Elements of combinatorics
Quiz (8)
Homework
24
The multiplication rule of combinatorics
46. Practical problems with the multiplication rule of combinatorics
Quiz (8)
Homework
Chapter X
Geometry
25
The triangle: kinds, perimeter and area
47. The triangle, its perimeter and kinds
48. The area of a triangle
Quiz (8)
Homework
26
Calculating areas on squared paper
49. Calculating areas on squared paper
50. Simple area problems on squared paper
Quiz (8)
Homework
27
Circumference of a circle and area of a disc
51. Circumference of a circle and area of a disc
Quiz (8)
Homework
Final review
28
Review: divisibility and fractions with different denominators
52. Final review: divisibility of numbers
53. Final review: adding and subtracting fractions with different denominators
Quiz (8)
Homework
29
Review: multiplying and dividing fractions
54. Final review: multiplying and dividing fractions
Quiz (8)
Homework
30
Review: ratio and proportion
55. Final review: ratio and proportion
Quiz (8)
Homework
31
Review: operations with positive and negative numbers
56. Final review: adding and subtracting positive and negative numbers
57. Final review: multiplying and dividing positive and negative numbers
Quiz (8)
Homework
32
Review: solving equations
58. Final review: solving equations
Quiz (8)
Homework
33
Review: data and combinatorics
59. Final review: data
Quiz (8)
Homework
34
Review: geometry
60. Final review: geometry
Quiz (8)
Homework
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