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Grade 7
Prime Numbers
Grade 7
1.
Volume and Surface Area
1.1.
Three-dimensional Solids
1.2.
Volume and Surface Area of Cubes
1.3.
Volume and Surface Area of Cuboids
1.4.
Volume and Surface Area of Cylinders
2.
Number Pattern
3.
Estimation
4.
Prime Numbers
5.
Square Roots and Cube Roots
5.1.
Square Root
5.2.
Cube Root
6.
HCF and LCM
6.1.
HCF (Highest Common Factor)
6.2.
LCM (Lowest Common Multiple)
6.3.
Properties of LCM and HCF
6.4.
Word problems on HCF and LCM
7.
Integers
7.1.
Revisiting Basics
7.2.
Operations on Integers
7.2.1.
Addition and Subtraction of Integers
7.2.1.1.
Addition of Integers
7.2.1.2.
Properties of Addition of Integers
7.2.1.3.
Subtraction of Integers
7.2.1.4.
Properties of Subtraction of Integers
7.2.2.
Multiplication and Division of Integers
7.2.2.1.
Multiplication of Integers
7.2.2.2.
Properties of Multiplication of Integers
7.2.2.3.
Division of Integers
7.2.2.4.
Properties of Division of Integers
7.2.3.
Mixed Operations of Integers
7.2.4.
Word Problems on Integers
8.
Fractions
8.1.
Revisiting Basics
8.2.
Equivalent Fractions
8.3.
Comparing Fractions
8.3.1.
Comparing Like Fractions
8.3.2.
Comparing Unlike Fractions
8.4.
Operations on Fractions
8.4.1.
Addition of Fractions
8.4.1.1.
Addition of Like Fractions
8.4.1.2.
Addition of Unlike Fractions
8.4.1.3.
Addition of Mixed Fractions
8.4.2.
Subtraction of Fractions
8.4.2.1.
Subtraction of Like Fractions
8.4.2.2.
Subtraction of Unlike Fractions
8.4.2.3.
Subtraction of Mixed Fractions
8.4.3.
Simplify Expressions involving Addition and Subtraction
8.4.4.
Multiplication of Fractions
8.4.4.1.
Simplify Expressions involving Multiplication
8.4.4.2.
Use of 'OF'
8.4.5.
Division of Fractions
8.4.5.1.
Reciprocal of a Fraction
8.4.5.2.
Simplify Expressions involving Division
8.4.6.
Simplification by Using Operations
8.4.7.
Word Problems on Fractions
8.4.7.1.
Word Problems on Addition of Fractions
8.4.7.2.
Word Problems on Subtraction of Fractions
8.4.7.3.
Word Problems on Addition and Subtraction of Fractions
8.4.7.4.
Word Problems on Multiplication of Fractions
8.4.7.5.
Word Problems on Division of Fractions
9.
Rational Numbers
9.1.
Understanding Rational Numbers
9.2.
Equivalent Rational Numbers
9.3.
Comparison of Rational Numbers
9.4.
Representation of Rational Numbers on the Real Line
9.5.
Addition and Subtraction of Rational Numbers
9.5.1.
Addition of Rational Numbers
9.5.2.
Additive Inverse of a Rational Number
9.5.3.
Subtraction of Rational Numbers
9.6.
Multiplication and Division of Rational Numbers
9.6.1.
Multiplication Of Rational Numbers
9.6.2.
Reciprocal of Rational Number
9.6.3.
Division Of Rational Numbers
9.7.
Rational Numbers Lying Between Two Rational Numbers
9.8.
Simplifying Rational Numbers
9.9.
Word Problems on Rational Numbers
10.
Decimals
10.1.
Revisiting Basics
10.2.
Like, Unlike And Equivalent Decimals
10.3.
Ordering And Comparing Decimals
10.4.
Relate Decimals and Fractions
10.4.1.
Convert Decimals to Fractions
10.4.2.
Convert Fractions to Decimals
10.4.3.
Conversion of Metric Units Using Decimals
10.5.
Addition and Subtraction of Decimals
10.5.1.
Addition of Decimals
10.5.2.
Subtraction of Decimals
10.5.3.
Mixed Operations on Decimals: Addition and Subtraction
10.5.4.
Word Problems on Addition and Subtraction of Decimals
10.6.
Multiplication and Division of Decimals
10.6.1.
Multiplication of Decimals
10.6.2.
Division of Decimals
10.6.3.
Word Problems on Multiplication of Decimals
10.6.4.
Word Problems on Division of a Decimal
10.6.5.
Mixed Operations on Decimals
11.
Ratio and Proportion
11.1.
Ratio
11.1.1.
Terms of a Ratio
11.1.2.
Equivalent Ratio
11.1.3.
Ratio in the Simplest Form
11.1.4.
Ratio of Two Quantities by Converting Them in Same Units
11.1.5.
Comparison of Ratios
11.1.6.
Miscellaneous questions on Ratio
11.2.
Proportion
11.2.1.
Terms of a Proportion
11.2.2.
Condition for the given Numbers/Ratios to be in Proportion
11.2.3.
Find the unknown variable when four numbers are in Proportion
11.2.4.
Continued proportion
12.
Unitary Method
12.1.
Problems on Direct Variation
12.2.
Problems on Inverse Variation
13.
Percentage
13.1.
Conversions
13.1.1.
Convert a Fraction into Percentage
13.1.2.
Convert a Percentage into Fraction
13.1.3.
Convert Percentage into a Ratio
13.1.4.
Convert a Ratio into Percentage
13.1.5.
Convert Percentage into Decimal form
13.1.6.
Convert Decimal into Percentage
13.2.
Percentage of a Quantity
13.3.
Solving Expressions involving Percentages
13.4.
Word Problems on Percentage
14.
Profit and Loss
14.1.
Terms Related to Profit and Loss
14.2.
Problems on Finding the Gain/Loss and Gain%/Loss%
14.3.
Problems on Finding the SP of the Article
14.4.
Problems on Finding the CP of the Article
14.5.
Problems on Finding the Number of Articles
15.
Simple Interest
15.1.
Problems on Calculating the Simple Interest
15.2.
Problems on Calculating the Rate Percent
15.3.
Problems on Calculating Time Period
15.4.
Problems on Calculating the Principal
16.
Exponents
16.1.
Introduction to Exponents
16.2.
Exponent of a Rational Number
16.3.
Express Rational Numbers in Exponential Form
16.4.
Solving Expressions Involving Exponents
16.5.
Laws of Exponents
16.6.
Finding the Unknown from the Given Exponential Equation
16.7.
Standard Form of Large Numbers
16.8.
Standard Form of Small Numbers
16.9.
Expanded Form of Large Numbers
17.
Algebraic Expressions
17.1.
Variables and Constants
17.2.
Types of Algebraic Expressions
17.3.
Finding the Value of an Algebraic Expression
17.4.
Operations on Algebraic Expressions
17.4.1.
Addition of Algebraic Expressions
17.4.2.
Subtraction of Algebraic Expressions
17.4.3.
Addition and Subtraction of Algebraic Expressions
17.4.4.
Multiplication of Algebraic Expressions
17.4.4.1.
Multiplication of Monomials
17.4.4.2.
Multiplication of a Monomial and a Binomial
17.4.4.3.
Multiplication of two Binomials
17.5.
Simplifying Algebraic Expression by Eliminating the Grouping Symbols
18.
Linear Equations in One Variable
18.1.
Solving Linear Equations by the Method of Transposition
18.2.
Word Problems Based on Linear Equations
19.
Mensuration
19.1.
Standard Units of Area
19.2.
Area and Perimeter of a Square
19.3.
Area and Perimeter of a Rectangle
19.4.
Area between Two Rectangles
19.5.
Area and Perimeter of Triangles
19.6.
Area and Perimeter of Parallelogram and Rhombus
19.7.
Circumference and Area of a Circle
19.8.
Area Enclosed Between Two Different Shapes
20.
Geometry
20.1.
Lines and Angles
20.1.1.
Types of Angles
20.1.1.1.
Complementary and Supplementary Angles
20.1.1.2.
Linear Pair of Angles
20.1.1.3.
Vertically Opposite Angles
20.1.1.4.
Angles Around a Point
20.1.2.
Angles Formed when a Transversal Cuts Two Parallel Lines
20.2.
Triangles
20.2.1.
Classification of Triangles by the Length of the Sides
20.2.2.
Classification of Triangles by the Angles
20.2.3.
Properties of a Triangle
20.2.3.1.
Angle Sum Property of a Triangle
20.2.3.2.
Exterior Angle Property of a Triangle
20.2.3.3.
Triangle Inequality
20.2.3.4.
Pythagoras' Theorem
20.3.
Congruence
20.3.1.
Understanding the Meaning
20.3.2.
Congruence of Triangles
21.
Reflection and Rotational Symmetry
21.1.
Linear Symmetry
21.1.1.
Linear Symmetry Around Us
21.1.2.
Linear Symmetry in Geometric Figures
21.1.3.
Linear Symmetry in Alphabets
21.2.
Rotational Symmetry
21.2.1.
Rotational Symmetry in Figures
21.2.2.
Rotational Symmetry in Geometric Figures
21.2.3.
Rotational Symmetry in Alphabets
22.
Three-Dimensional Shapes
22.1.
Identifying 3-D Shapes
22.2.
Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)
22.3.
Net of a 3-D Shape
23.
Probability
24.
Data Handling
24.1.
Tabular Representation of Data
24.2.
Mean, Median, and Mode
24.2.1.
Mean
24.2.1.1.
Mean of Ungrouped Data
24.2.1.2.
Mean of Tabulated Data
24.2.2.
Median
24.2.2.1.
Median of Ungrouped Data
24.2.2.2.
Median of Discrete Series
24.2.3.
Mode
24.2.3.1.
Mode of Ungrouped Data
24.2.3.2.
Empirical Formula for Calculating Mode
24.3.
Bar Graphs
24.3.1.
Drawing Bar Graphs
24.3.2.
Interpreting Bar Graphs
Grade 7 Germany School Math
Prime Numbers
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Grade 7
Germany