Mathematics

This unit related to Mathematics has 2 chapters to learn

Arithmetic

This unit related to Mathematics has 1 chapters to learn

Algebra

Geometry

Statistics and Probability

Mathematics Textbook of Competency Based Questions for Class VII

THINK ABOVE AND BEYOND  MATHEMATICS PRACTICE BOOKS

Triangle Construction With Base, Angle & Median

Triangle Construction With Base, Angle & Altitude

Construct Triangle Equal to the Area of Quadrilateral

Division by Rational Numbers Using Its Reciprocal

Construction of Right-Angled Triangles

Construction of Rhombus With Special Properties

Finding Directions and Distances Using Maps

Construction of a Square

More about Maps

Using Algebraic Expressions-Formulas

How to Find Weight Using Water?

Word Problems on Addition of Volumes

Using Algebraic Expressions - Rules

Using Algebraic Expressions - Pattern in Geometry

Range of a Data Set

What Is a Dice? What Is the Back of an Object?

Meaning of Cost Price and Selling Price

To Find Sale Price

Examples on Profit and Loss

Selling Price: Illustration

What is an Equation?

Venn Diagrams

Fractions to Decimals and Decimals to Fractions

Non-terminating Non-recurring Decimals

Relation Between Units of Area

Area of Annular Regions

Area of Circle and Annular Region

Area of a Circle

Illustration of Construction of Triangle by ASA

Illustration of Construction of Triangle by SAS

Opposite & Inverse of a Rational Number

Understanding Linear Pair of Angles

Problems on Complementary and Supplementary Angles

Word Problem on Age

Mean of Ungrouped data: Example

Dividing a Fraction by Another Fraction

Unitary Method

Proportion

Introduction to Ratios

Equation and Its Solution

Existence of Inverse and Distributive Property

Formation of Algebraic Expression

Interpretation of a Bar Graph

Introduction to a Bar Graph

Organising Data and Frequency of Data

Basics of Data

Interconversion of Fractions and Decimals

Introduction to Decimal Fraction

Subtraction of Fractions With Unequal Denominators

Subtraction of Fractions With the Same Denominator

Subtraction of Integers Using the Number Line

No Closure Property for Subtraction

Conversion of Litres Into Millilitres and Vice Versa

Axiomatic Definition of Probability

Mutually Exclusive Events

Sample Space

Formation of Linear Inequality: Example

Solution Set of System of Inequality: Example

Solution Set of System of Inequality: Example 1

Graphical Solution of y > 0

Graphical Solution of x > 0

Graphical Solutions of Linear Inequality

Solution of Inequality

Concept of Linear Inequality

Verify (A ⋂ B)' = A' U B' by a Venn Diagram

Theorems of Probability

Complementary Events

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Relationship Between Mean, Median and Mode

Median of Grouped Data: Illustration

Volume of Combination of Cylinder, Cone and Hemisphere

Volume of Ice Cream Cone

Surface Area of Hollow Cylinders

Volume of Solids

Problem on Area of Path Around a Circular Region

Concept of Arc, Area and Perimeter of Sector

Problems on Annular Regions

Problems on Circumference of a Circle

Construction of Similar Triangle in Given Ratio

Mode of Data

Median of Ungrouped Data: Illustration

Median of Ungrouped Data

Illustration of Mean of Ungrouped Data

Arithmetic Mean of the Data

Understanding Frequency Polygon

Understanding Raw Data

Introduction to Statistics

Volume of a Prism

Volume of Cubes and Cuboids: Problems

Introduction to Area of a Cylinder

Construction of Triangle When Base Angles and Perimeter Is Given

Vertically Opposite Angles

Angles Formed by a Transversal

Understanding Supplementary Angles

Differences in Linear Pair and Supplementary Angles

Different Types of Angles

Direct and Inverse Proportion

Practical Problems of Volume

This chapter consists of topics like Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. etc.

Expressions and Equations

This chapter consists of topics like Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. etc.

Ratios and Proportional Relationships

This chapter consists of topics like Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. a. Describe situations in which opposite quantities combine to make 0. b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. c. Understand subtraction of rational numbers as adding the additive inverse, p– q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. d. Apply properties of operations as strategies to add and subtract rational numbers. etc.

The Number System

This chapter consists of topics like Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. etc.

This chapter consists of topics like Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. etc.

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