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Grade 7
1. Integers
1.1. Revisiting Basics
1.2. Operations on Integers
2. Fractions
2.1. Revisiting Basics
2.2. Equivalent Fractions
2.3. Comparing Fractions
2.4. Operations on Fractions
3. Rational Numbers
3.1. Understanding Rational Numbers
3.2. Equivalent Rational Numbers
3.3. Comparison of Rational Numbers
3.4. Representation of Rational Numbers on the Real Line
3.5. Addition and Subtraction of Rational Numbers
3.6. Multiplication and Division of Rational Numbers
3.7. Rational Numbers Lying Between Two Rational Numbers
3.8. Simplifying Rational Numbers
3.9. Word Problems on Rational Numbers
4. Decimals
4.1. Revisiting Basics
4.2. Like, Unlike And Equivalent Decimals
4.3. Ordering And Comparing Decimals
4.4. Relate Decimals and Fractions
4.5. Addition and Subtraction of Decimals
4.6. Multiplication and Division of Decimals
5. Ratio and Proportion
5.1. Ratio
5.2. Proportion
6. Unitary Method
6.1. Problems on Direct Variation
6.2. Problems on Inverse Variation
7. Percentage
7.1. Conversions
7.2. Percentage of a Quantity
7.3. Solving Expressions involving Percentages
7.4. Word Problems on Percentage
8. Profit and Loss
8.1. Terms Related to Profit and Loss
8.2. Problems on Finding the Gain/Loss and Gain%/Loss%
8.3. Problems on Finding the SP of the Article
8.4. Problems on Finding the CP of the Article
8.5. Problems on Finding the Number of Articles
9. Simple Interest
9.1. Problems on Calculating the Simple Interest
9.2. Problems on Calculating the Rate Percent
9.3. Problems on Calculating Time Period
9.4. Problems on Calculating the Principal
10. Exponents
10.1. Introduction to Exponents
10.2. Exponent of a Rational Number
10.3. Express Rational Numbers in Exponential Form
10.4. Solving Expressions Involving Exponents
10.5. Laws of Exponents
10.6. Word Problems on Exponents
10.7. Finding the Unknown from the Given Exponential Equation
10.8. Standard Form of Large Numbers
10.9. Standard Form of Small Numbers
10.10. Expanded Form of Large Numbers
11. Algebraic Expressions
11.1. Variables and Constants
11.2. Types of Algebraic Expressions
11.3. Finding the Value of an Algebraic Expression
11.4. Operations on Algebraic Expressions
11.5. Simplifying Algebraic Expression by Eliminating the Grouping Symbols
12. Linear Equations in One Variable
12.1. Solving Linear Equations by the Method of Transposition
12.2. Word Problems Based on Linear Equations
13. Mensuration
13.1. Standard Units of Area
13.2. Area and Perimeter of a Square
13.3. Area and Perimeter of a Rectangle
13.4. Area of 4 Walls of a Room
13.5. Area between Two Rectangles
13.6. Area and Perimeter of Triangles
13.7. Area and Perimeter of Parallelogram and Rhombus
13.8. Circumference and Area of a Circle
13.9. Area Enclosed Between Two Different Shapes
14. Geometry
14.1. Lines and Angles
14.2. Triangles
14.3. Congruence
15. Reflection and Rotational Symmetry
15.1. Linear Symmetry
15.2. Rotational Symmetry
16. Three-Dimensional Shapes
16.1. Identifying 3-D Shapes
16.2. Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)
16.3. Net of a 3-D Shape
17. Probability
18. Data Handling
18.1. Tabular Representation of Data
18.2. Mean, Median, and Mode
18.3. Bar Graphs

Grade 7 Germany School Math Grade 7

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