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Grade 7
Three-Dimensional Shapes
Identifying 3-D Shapes
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
5.
Integers
5.1.
Revisiting Basics
5.2.
Operations on Integers
5.2.1.
Addition and Subtraction of Integers
5.2.1.1.
Addition of Integers
5.2.1.2.
Properties of Addition of Integers
5.2.1.3.
Subtraction of Integers
5.2.1.4.
Properties of Subtraction of Integers
5.2.2.
Multiplication and Division of Integers
5.2.2.1.
Multiplication of Integers
5.2.2.2.
Properties of Multiplication of Integers
5.2.2.3.
Division of Integers
5.2.2.4.
Properties of Division of Integers
5.2.3.
Mixed Operations of Integers
5.2.4.
Word Problems on Integers
6.
Fractions
6.1.
Revisiting Basics
6.2.
Equivalent Fractions
6.3.
Comparing Fractions
6.3.1.
Comparing Like Fractions
6.3.2.
Comparing Unlike Fractions
6.4.
Operations on Fractions
6.4.1.
Addition of Fractions
6.4.1.1.
Addition of Like Fractions
6.4.1.2.
Addition of Unlike Fractions
6.4.1.3.
Addition of Mixed Fractions
6.4.2.
Subtraction of Fractions
6.4.2.1.
Subtraction of Like Fractions
6.4.2.2.
Subtraction of Unlike Fractions
6.4.2.3.
Subtraction of Mixed Fractions
6.4.3.
Simplify Expressions involving Addition and Subtraction
6.4.4.
Multiplication of Fractions
6.4.4.1.
Simplify Expressions involving Multiplication
6.4.4.2.
Use of 'OF'
6.4.5.
Division of Fractions
6.4.5.1.
Reciprocal of a Fraction
6.4.5.2.
Simplify Expressions involving Division
6.4.6.
Simplification by Using Operations
6.4.7.
Word Problems on Fractions
6.4.7.1.
Word Problems on Addition of Fractions
6.4.7.2.
Word Problems on Subtraction of Fractions
6.4.7.3.
Word Problems on Addition and Subtraction of Fractions
6.4.7.4.
Word Problems on Multiplication of Fractions
6.4.7.5.
Word Problems on Division of Fractions
7.
Rational Numbers
7.1.
Understanding Rational Numbers
7.2.
Equivalent Rational Numbers
7.3.
Comparison of Rational Numbers
7.4.
Representation of Rational Numbers on the Real Line
7.5.
Addition and Subtraction of Rational Numbers
7.5.1.
Addition of Rational Numbers
7.5.2.
Additive Inverse of a Rational Number
7.5.3.
Subtraction of Rational Numbers
7.6.
Multiplication and Division of Rational Numbers
7.6.1.
Multiplication Of Rational Numbers
7.6.2.
Reciprocal of Rational Number
7.6.3.
Division Of Rational Numbers
7.7.
Rational Numbers Lying Between Two Rational Numbers
7.8.
Simplifying Rational Numbers
7.9.
Word Problems on Rational Numbers
8.
Decimals
8.1.
Revisiting Basics
8.2.
Like, Unlike And Equivalent Decimals
8.3.
Ordering And Comparing Decimals
8.4.
Relate Decimals and Fractions
8.4.1.
Convert Decimals to Fractions
8.4.2.
Convert Fractions to Decimals
8.4.3.
Conversion of Metric Units Using Decimals
8.5.
Addition and Subtraction of Decimals
8.5.1.
Addition of Decimals
8.5.2.
Subtraction of Decimals
8.5.3.
Mixed Operations on Decimals: Addition and Subtraction
8.5.4.
Word Problems on Addition and Subtraction of Decimals
8.6.
Multiplication and Division of Decimals
8.6.1.
Multiplication of Decimals
8.6.2.
Division of Decimals
8.6.3.
Word Problems on Multiplication of Decimals
8.6.4.
Word Problems on Division of a Decimal
8.6.5.
Mixed Operations on Decimals
9.
Ratio and Proportion
9.1.
Ratio
9.1.1.
Terms of a Ratio
9.1.2.
Equivalent Ratio
9.1.3.
Ratio in the Simplest Form
9.1.4.
Ratio of Two Quantities by Converting Them in Same Units
9.1.5.
Comparison of Ratios
9.1.6.
Miscellaneous questions on Ratio
9.2.
Proportion
9.2.1.
Terms of a Proportion
9.2.2.
Condition for the given Numbers/Ratios to be in Proportion
9.2.3.
Find the unknown variable when four numbers are in Proportion
9.2.4.
Continued proportion
10.
Unitary Method
10.1.
Problems on Direct Variation
10.2.
Problems on Inverse Variation
11.
Percentage
11.1.
Conversions
11.1.1.
Convert a Fraction into Percentage
11.1.2.
Convert a Percentage into Fraction
11.1.3.
Convert Percentage into a Ratio
11.1.4.
Convert a Ratio into Percentage
11.1.5.
Convert Percentage into Decimal form
11.1.6.
Convert Decimal into Percentage
11.2.
Percentage of a Quantity
11.3.
Solving Expressions involving Percentages
11.4.
Word Problems on Percentage
12.
Profit and Loss
12.1.
Terms Related to Profit and Loss
12.2.
Problems on Finding the Gain/Loss and Gain%/Loss%
12.3.
Problems on Finding the SP of the Article
12.4.
Problems on Finding the CP of the Article
12.5.
Problems on Finding the Number of Articles
13.
Simple Interest
13.1.
Problems on Calculating the Simple Interest
13.2.
Problems on Calculating the Rate Percent
13.3.
Problems on Calculating Time Period
13.4.
Problems on Calculating the Principal
14.
Exponents
14.1.
Introduction to Exponents
14.2.
Exponent of a Rational Number
14.3.
Express Rational Numbers in Exponential Form
14.4.
Solving Expressions Involving Exponents
14.5.
Laws of Exponents
14.6.
Finding the Unknown from the Given Exponential Equation
14.7.
Standard Form of Large Numbers
14.8.
Standard Form of Small Numbers
14.9.
Expanded Form of Large Numbers
15.
Algebraic Expressions
15.1.
Variables and Constants
15.2.
Types of Algebraic Expressions
15.3.
Finding the Value of an Algebraic Expression
15.4.
Operations on Algebraic Expressions
15.4.1.
Addition of Algebraic Expressions
15.4.2.
Subtraction of Algebraic Expressions
15.4.3.
Addition and Subtraction of Algebraic Expressions
15.4.4.
Multiplication of Algebraic Expressions
15.4.4.1.
Multiplication of Monomials
15.4.4.2.
Multiplication of a Monomial and a Binomial
15.4.4.3.
Multiplication of two Binomials
15.5.
Simplifying Algebraic Expression by Eliminating the Grouping Symbols
16.
Linear Equations in One Variable
16.1.
Solving Linear Equations by the Method of Transposition
16.2.
Word Problems Based on Linear Equations
17.
Mensuration
17.1.
Standard Units of Area
17.2.
Area and Perimeter of a Square
17.3.
Area and Perimeter of a Rectangle
17.4.
Area between Two Rectangles
17.5.
Area and Perimeter of Triangles
17.6.
Area and Perimeter of Parallelogram and Rhombus
17.7.
Circumference and Area of a Circle
17.8.
Area Enclosed Between Two Different Shapes
18.
Geometry
18.1.
Lines and Angles
18.1.1.
Types of Angles
18.1.1.1.
Complementary and Supplementary Angles
18.1.1.2.
Linear Pair of Angles
18.1.1.3.
Vertically Opposite Angles
18.1.1.4.
Angles Around a Point
18.1.2.
Angles Formed when a Transversal Cuts Two Parallel Lines
18.2.
Triangles
18.2.1.
Classification of Triangles by the Length of the Sides
18.2.2.
Classification of Triangles by the Angles
18.2.3.
Properties of a Triangle
18.2.3.1.
Angle Sum Property of a Triangle
18.2.3.2.
Exterior Angle Property of a Triangle
18.2.3.3.
Triangle Inequality
18.2.3.4.
Pythagoras' Theorem
18.3.
Congruence
18.3.1.
Understanding the Meaning
18.3.2.
Congruence of Triangles
19.
Reflection and Rotational Symmetry
19.1.
Linear Symmetry
19.1.1.
Linear Symmetry Around Us
19.1.2.
Linear Symmetry in Geometric Figures
19.1.3.
Linear Symmetry in Alphabets
19.2.
Rotational Symmetry
19.2.1.
Rotational Symmetry in Figures
19.2.2.
Rotational Symmetry in Geometric Figures
19.2.3.
Rotational Symmetry in Alphabets
20.
Three-Dimensional Shapes
20.1.
Identifying 3-D Shapes
20.2.
Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)
20.3.
Net of a 3-D Shape
21.
Probability
22.
Data Handling
22.1.
Tabular Representation of Data
22.2.
Mean, Median, and Mode
22.2.1.
Mean
22.2.1.1.
Mean of Ungrouped Data
22.2.1.2.
Mean of Tabulated Data
22.2.2.
Median
22.2.2.1.
Median of Ungrouped Data
22.2.2.2.
Median of Discrete Series
22.2.3.
Mode
22.2.3.1.
Mode of Ungrouped Data
22.2.3.2.
Empirical Formula for Calculating Mode
22.3.
Bar Graphs
22.3.1.
Drawing Bar Graphs
22.3.2.
Interpreting Bar Graphs
Grade 7 Pakistan School Math
Identifying 3-D Shapes
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Three-Dimensional Shapes
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