Study kit (Mathematics 6)

Mathematics, Grade 6

1. Common Fractions and Converting Fractions

Lead
Chapter
1.1. How to Use this Book?
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1.2. Common Fractions
1.3. Common Fractions and Converting Improper Fractions to Mixed Numbers
1.4. Common Fractions and Converting Mixed Numbers to Improper Fractions
1.5. Common Fractions on a Number Line
1.6. The Main Property of a Fraction
1.7. Reducing Fractions (1)
1.8. Reducing Fractions (2)
1.9. Converting Fractions into Fractions with a Common Denominator (1)
1.10. Converting Fractions into Fractions with a Common Denominator (2)
1.11. Converting Fractions into Fractions with a Common Denominator (3)
1.12. Comparing Fractions (1)
1.13. Comparing Fractions (2)
1.14. Revision

2. Addition and Subtraction of Common Fractions

Lead
Chapter
2.1. Adding Fractions with Common Denominators
2.2. Adding Fractions with Different Denominators (1)
2.3. Adding Fractions with Different Denominators (2)
2.4. Adding Mixed Numbers (1)
2.5. Adding Mixed Numbers (2)
2.6. Miscellaneous Exercises
2.7. Subtracting Fractions with Common Denominators
2.8. Subtracting Fractions with Different Denominators
2.9. Subtracting a Fraction from a Whole Number
2.10. Subtracting Mixed Numbers
2.11. More Complex Situations of Addition and Subtraction
2.12. Addition and Subtraction of Common Fractions
2.13. Miscellaneous Exercises (1)
2.14. Miscellaneous Exercises (2)

3. Converting Fractions. Multiplication of Common Fractions

Lead
Chapter
3.1. Converting Common Fractions to Decimals (1)
3.2. Converting Common Fractions to Decimals (2)
3.3. Infinite Decimals (1)
3.4. Infinite Decimals (2)
3.5. Multiplying a Common Fraction by a Natural Number (1)
3.6. Multiplying a Common Fraction by a Natural Number (2)
3.7. Multiplication of Common Fractions (1)
3.8. Multiplication of Common Fractions (2)
3.9. Multiplication of Common Fractions (3)
3.10. Finding the Fractional Part of a Number (1)
3.11. Finding the Fractional Part of a Number (2)
3.12. Miscellaneous Exercises (1)
3.13. Miscellaneous Exercises (2)

4. Division of Common Fractions

Lead
Chapter
4.1. Reciprocal of a Fraction
4.2. Dividing a Fraction by a Natural Number
4.3. Dividing a Natural Number by a Fraction with a Numerator of 1
4.4. Revision (1)
4.5. Revision (2)
4.6. Dividing a Common Fraction by a Common Fraction (1)
4.7. Dividing a Common Fraction by a Common Fraction (2)
4.8. Miscellaneous Exercises (1)
4.9. Miscellaneous Exercises (2)

5. Percentages

Lead
Chapter
5.1. Introducing percentages
5.2. Percentages and Fractions (1)
5.3. Percentages and Fractions (2)
5.4. Finding a Percentage of a Number (1)
5.5. Finding a Percentage of a Number (2)
5.6. Percentage Word Problems
5.7. Calculating Percentages with and without a Calculator (1)
5.8. Calculating Percentages with or without a Calculator (2)
5.9. Loan and Interest (1)
5.10. Loan and Interest (2)
5.11. Miscellaneous Exercises (1)
5.12. Miscellaneous Exercises (2)

6. Circle and Circumference

Lead
Chapter
6.1. Circle and Circumference
6.2. Calculating the Circumference
6.3. Area of a Circle (1)
6.4. Area of a Circle (2)
6.5. Area of a Circle (3)
6.6. Parts of a Circle. Pie Chart (1)
6.7. Parts of a Circle. Pie Chart (2)
6.8. Miscellaneous Exercises (1)
6.9. Miscellaneous Exercises (2)

7. Geometric Constructions

Lead
Chapter
7.1. Reflection
7.2. Reflection in a Line. Axial Symmetry
7.3. Reflections across a Point and Central Symmetry
7.4. Bisecting a Line Segment. The Perpendicular Bisector of a Line Segment
7.5. Drawing a Perpendicular Line to a Given Line
7.6. Bisecting an Angle

8. Geometric Constructions, Drawing Triangles

Lead
Chapter
8.1. A Triangle and its Parts (1)
8.2. Triangle and its Parts (2)
8.3. The Sum of the Angles of a Triangle
8.4. Equality of Triangles
8.5. Drawing a Triangle if Three Sides are Given (1)
8.6. Drawing a Triangle if Three Sides are Given (2)
8.7. Drawing a Triangle if Two Sides and the Angle Between Them are Given
8.8. Drawing a Triangle if One Side and its Adjacent Angles are Given

9. Classification of Triangles. Area of ​​a Triangle

Lead
Chapter
9.1. Classification of Triangles (1)
9.2. Classification of Triangles (2)
9.3. Properties of an Isosceles Triangle (1)
9.4. Properties of an Isosceles Triangle (2)
9.5. The Base and Height of a Triangle
9.6. Area of ​​a Triangle (1)
9.7. Area of ​​a Triangle (2)
9.8. Miscellaneous Exercises (1)
9.9. Miscellaneous Exercises (2)

10. Integers: Positive and Negative Numbers

Lead
Chapter
10.1. Negative Numbers (1)
10.2. Negative Numbers (2)
10.3. Number Axis
10.4. Opposite Numbers, and the Absolute Value of a Number (1)
10.5. Opposite Numbers, and the Absolute Value of a Number (2)
10.6. Natural Numbers, Integers and Rational Numbers
10.7. Comparison of Positive Rational Numbers
10.8. Comparison of Rational Numbers (1)
10.9. Comparison of Rational Numbers (2)

11. Calculating with Integers

Lead
Chapter
11.1. Addition and Subtraction of a Positive Number (1)
11.2. Addition and Subtraction of a Positive Number (2)
11.3. Addition and Subtraction of a Negative Number (1)
11.4. Addition and Subtraction of a Negative Number (2)
11.5. Addition and Subtraction of Two Integers
11.6. The Addition Properties, and the Sum of Several Numbers (1)
11.7. The Addition Properties, and the Sum of Several Numbers (2)
11.8. Multiplication and Division of Integers (1)
11.9. Multiplication and Division of Integers (2)
11.10. Miscellaneous Exercises (1)
11.11. Miscellaneous Exercises (2)

12. Coordinate Plane

Lead
Chapter
12.1. The Location of a Point on the Plane (1)
12.2. The Location of a Point on the Plane (2)
12.3. Distance-Time Graph for Uniform Motion (1)
12.4. Distance-Time Graph for Uniform Motion (2)
12.5. Coordinate Plane (1)
12.6. Coordinate Plane (2)
12.7. Plotting a Graph on the Coordinate Plane (1)
12.8. Plotting a Graph on the Coordinate Plane (2)
12.9. Miscellaneous Exercises (1)
12.10. Miscellaneous Exercises (2)

13. Revision

Lead
Chapter
13.1. Properties of Common Fractions. Addition and Subtraction
13.2. Simplifying Common Fractions. Multiplication and Division of Common Fractions
13.3. Percentages
13.4. Circle and Circumference
13.5. Triangle
13.6. Integers, Positive and Negative numbers
13.7. Coordinate Plane and Graphs

14. Extras

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Chapter
14.1. Definitions
14.2. Impressum
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