Mathematics Class VII

Integers
8 Topics | 2 Quizzes
Introduction
Integers on number line
Additive Inverse of An Integer
Properties Of Addition And Subtraction Of Integers
Multiplication Of Integers
Properties Of Multiplication Of Integers
Division Of Integers
Properties Of Division Of Integers
Concept Checkers-Integers-Class VII
Olympiad Questions-Integers-Class VII
Fractions and Decimals
8 Topics | 3 Quizzes
Introduction
Types Of Fractions
Converting an Improper Fraction into a Mixed Fraction
Multiplication Of Fractions
Division Of Fractions
Decimal Numbers
Multiplication Of Decimal Numbers
Division of Decimal Numbers
Concept Checkers – Fractions and Decimals – Class VII
Practice Questions – Fractions and Decimals – Class VII
Olympiad Questions – Fractions and Decimals – Class VII
Exponents and Powers
4 Topics | 3 Quizzes
Introduction
The Expanded Form Of Natural Numbers
Laws Of Exponents
Miscellaneous Examples Using The Laws Of Exponents
Concept Checkers – Exponents and Powers – Class VII
Practice Questions – Exponents and Powers – Class VII
Olympiad Questions – Exponents and Powers – Class VII
Algebraic Equations
6 Topics | 3 Quizzes
Introduction
Terms Of An Expression
Like And Unlike Terms
Monomials, Binomials, Trinomials And Polynomials
Addition And Subtraction Of Algebraic Expressions
Finding The Value Of An Expression
Concept Checkers – Algebraic Expressions – Class VII
Practice Questions – Algebraic Expressions – Class VII
Olympiad Questions – Algebraic Expressions – Class VII
Simple Linear Equations
6 Topics | 3 Quizzes
Algebraic Expressions
Important Points Related to the Equation
How to form equations using statements?
Balanced Equation
The Solution of an Equation
Applications Of Simple Equations To Practical Situations
Concept Checkers – Simple Linear Equations – Class VII
Practice Questions – Simple Linear Equations – Class VII
Olympiad Questions – Simple Linear Equations – Class VII
Lines and Angles
4 Topics | 3 Quizzes
Introduction
Related Angles
Pairs of Lines
Transversal of Parallel Lines
Concept Checkers – Lines and Angles – Class VII
Olympiad Questions – Lines and Angles – Class VII
Practice Questions – Lines and Angles – Class VII
Comparing Quantities
6 Topics | 3 Quizzes
Introduction
Equivalent Ratios
Proportion
Percentage
Fun with estimation
Buying and Selling
Concept Checkers – Comparing Quantities – Class VII
Practice Questions – Comparing Quantities – Class VII
Olympiad Questions – Comparing Quantities – Class VII
The triangle and its properties
8 Topics | 3 Quizzes
Introduction
Medians Of A Triangle
Altitudes Of A Triangle
Exterior Angle Of A Triangle And Its Property
Angle Sum Property Of A Triangle
Two Special Triangles: Equilateral And Isosceles
Sum Of The Lengths Of Two Sides Of A Triangle
Right-Angled Triangles And Pythagoras Property
Concept Checkers – Triangles – Class VII
Practice Questions – Triangles – Class VII
Olympiad Questions – Triangles – Class VII
Congruence of Triangles
7 Topics | 2 Quizzes
Introduction
Congruence Of 2D Shapes
Congruence Among Line Segments
Congruence Of Angles
Congruence Of Triangles
Criteria For Congruence Of Triangles
Congruence Among Right-Angled Triangles
Concept Checkers – Congruence of Triangles – Class VII
Practice Questions – Congruence of Triangles – Class VII
Rational Numbers
5 Topics | 3 Quizzes
Introduction
Positive And Negative Rational Numbers
Properties of Rational Numbers
Rational Numbers On A Number Line
Absolute value of a Rational Number
Concept Checkers – Rational Numbers – Class VII
Practice Questions – Rational Numbers – Class VII
Olympiad Questions – Rational Numbers – Class VII
Perimeter and Area
7 Topics | 3 Quizzes
Introduction
Squares And Rectangles
Area Of A Parallelogram
Area Of A Triangle
Circles
Conversion Of Units
Applications
Concept Checkers – Perimeter and Area – Class VII
Practice Questions – Perimeter and Area – Class VII
Olympiad Questions – Perimeter and Area – Class VII
Data Handling
9 Topics | 2 Quizzes
Introduction
Collecting Data
Organisation of Data
Representative Values
Arithmetic Mean
Mode
Median
Use Of Bar Graphs With A Different Purpose
Chance And Probability
Concept Checkers – Data Handling – Class VII
Practice Questions – Data Handling – Class VII
Practical Geometry
7 Topics | 1 Quiz
Introduction
Construction Of A Line Parallel To A Given Line, Through A Point Not On The Line
Construction Of Triangles
Constructing A Triangle When The Lengths Of Its Three Sides Are Known (SSS Criterion)
Constructing A Triangle When The Lengths Of Two Sides And The Measure Of The Angle Between Them Are Known. (SAS Criterion)
Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)
Constructing A Right-Angled Triangle When The Length Of One Leg And Its Hypotenuse Are Given (RHS Criterion)
Concept Checkers – Practical Geometry – Class VII
Symmetry
4 Topics | 1 Quiz
Introduction: Symmetry
Lines Of Symmetry For Regular Polygons
Types of Symmetry
Line Symmetry And Rotational Symmetry
Concept Checkers – Symmetry – Class VII
Visualising Solid Shapes
4 Topics | 1 Quiz
Introduction: Plane Figures And Solid Shapes
Nets For Building 3-D Shapes
Drawing Solids On A Flat Surface
Viewing Different Sections Of A Solid
Concept Checkers – Visualizing Solid Shapes – Class VII
Mock Test 1 – Class VII
Mock Test 2 – Class VII
Mock Test 3 – Class VII
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Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)

Mathematics Class VII Practical Geometry Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)

Example

Draw a triangle ABC if BC = 8 cm, ∠B = 60°and ∠C = 70°.

Solution

Step 1: Draw a rough sketch of the triangle.

Step 2: Draw a line segment BC = 8 cm.

Step 3: Take B as a centre and make an angle of 60° with BC and join BP.

Step 4: Now take C as a centre and draw an angle of 70° using a protractor and join CQ. The point where BP and QC intersects is the required vertex A of the triangle ABC.

ABC is the required triangle ABC.

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