Browse by Grade: Class 7

India · CBSE Learning Outcomes

Class 7 Mathematics

This course transitions students from basic arithmetic to abstract mathematical thinking. It emphasizes the structural properties of numbers, geometric relationships, and the foundational logic of algebraic expressions to solve real world problems.

6 units·12 topics·Ages 12-13
1

The World of Integers

2 topics·Number Systems

Exploration of the properties of positive and negative whole numbers and their application in representing real life scenarios like depth and debt.

Integer Operations and Properties

Understanding how addition, subtraction, multiplication, and division behave when working with directed numbers.

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Patterns in Integer Arithmetic

Identifying and predicting outcomes of complex calculations using distributive and associative laws.

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2

Fractions, Decimals, and Rational Logic

2 topics·Number Systems

Deepening the understanding of parts of a whole and the relationship between fractional and decimal representations.

Fractional Multiplication and Division

Moving beyond algorithms to understand what it means to take a fraction of a fraction.

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Decimal Precision and Operations

Applying place value logic to multiply and divide decimals accurately in scientific and financial contexts.

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3

Algebraic Expressions and Equations

2 topics·Algebraic Thinking

Introducing the language of variables to model unknown quantities and solve linear relationships.

Building Algebraic Expressions

Translating verbal phrases into mathematical symbols and identifying the components of an expression.

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Solving Simple Linear Equations

Using the principle of balance to isolate variables and find solutions to one variable equations.

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4

Geometry of Lines and Triangles

2 topics·Geometry

Investigating the properties of angles, parallel lines, and the structural integrity of triangles.

Lines and Angles

Analyzing the relationships between angles formed by intersecting and parallel lines.

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Triangle Properties and Congruence

Exploring the angle sum property and the criteria that make two triangles identical.

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5

Comparing Quantities and Proportions

2 topics·Commercial Math

Applying ratios, percentages, and interest formulas to understand growth and comparison in daily life.

Ratios and Percentages

Using proportional reasoning to compare different sets of data and represent changes.

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Profit, Loss, and Simple Interest

Calculating financial outcomes and understanding the time value of money through interest.

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6

Data Handling and Probability

2 topics·Statistics

Collecting, organizing, and interpreting data to make informed predictions and decisions.

Measures of Central Tendency

Understanding mean, median, and mode as different ways to describe a 'typical' value in a dataset.

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Chance and Probability

Quantifying the likelihood of events and understanding the scale from impossible to certain.

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