Page 6 - Start Up Mathematics_8 (Non CCE)

Detailed Contents

Each chapter contains different exercises which include the following:
• Multiple Choice Questions • Solve Mentally (True or False/Fill in the Blanks/Answer in One Word or a Line)
• Let’s Evaluate (long and short calculations) • Thinking Skills
• Values and Life skills • NCERT Textbook Questions
• Exemplar Problems

Chapter Contents Tasks to Perform
1. Rational Numbers Comparison, Some Properties, Addition and their • Maths Lab Activity (Rational numbers and its
properties, Subtraction and their properties, Simpler operations)
Method of Addition/Subtraction, Multiplication —Learning Skills, Creative Thinking
and their properties, Division and their properties,
Representation on a Number Line, Rational Numbers
Between Two Rational Numbers
2. Exponents (Powers) Laws of Exponents of Rational Numbers, Positive and • Try It Out!
Negative Integral Exponents of a Rational Number, — Application of Concept, Thinking Skills,
Properties of Negative Integral Exponents, Use of Conceptual Understanding
Exponents
3. Squares and Square Perfect Square and Square Numbers, Prime • Try It Out!
Roots Factorization Method to Check Perfect Squares, — Conceptual Understanding
Properties of Perfect Squares, Pythagorean Triplet,
Shortcut Methods for Squaring a Number, Easy
Methods of Finding Squares, Square Roots and
Properties, Methods to Find Square Roots, Relation
Between the Digits of a Perfect Square and Its Square
Root, Square Roots of Rational Numbers, Approximating
the Value of Square Roots by Long Division Method
4. Cubes and Cube Cube of a Number, Perfect Cube, Properties of Cubes • Maths Lab Activity (Understanding cubes)
Roots of Natural Numbers, Finding Cubes, Cubes of Negative — Conceptual Understanding, Observation
Integers and Rational Numbers, Cube Roots, Cube Root
of a Natural Number, Computation of Cube Root, Cube
Root of a Negative Integral Perfect Cube, Cube Root of
the Product of Integers, Cube Root of a Rational Number
5. Algebraic Definition of Algebraic Expression and Other Terms, • Maths Lab Activity (Verifying identity)
Expressions and Addition, Subtraction and Multiplication of Algebraic —Creative Thinking, Verification
Identities: Part I Expressions—Monomial by Monomial and Binomial, • Maths Lab Activity (Verifying identity)
Binomial by Binomial and Trinomial, and Trinomial by
Trinomial, Algebraic Identities, Standard Identities, —Creative Thinking, Verification
Special Product • Maths Lab Activity (Proving special product)
—Creative Thinking, Observation
6. Algebraic Polynomial, Degree of Polynomial in One Variable • Quiz
Expressions and and Two Variables, Constant, Linear, Quadratic, Cubic —Thinking Skills, Knowledge of Concept
Identities: Part II and Biquadratic Polynomials, Division of a Monomial
by a Monomial, Division of Polynomials
7. Factorization Factors, Factors of a Monomial, HCF, Factorization of • Try It Out!
of Algebraic Algebraic Expressions — Application of Knowledge, Thinking Skills
Expressions
8. Linear Equations in Linear Equation, Rules for Solving a Linear Equation, • Maths Lab Activity (Magic squares)
One Variable Solving Equations Having Variable Terms on One — Thinking Skills, Conceptual Understanding
Side and Number(s) on the Other Side, Using • Maths Lab Activity (Tracing relationship)
Transposition Method and by Cross-Multiplication
Method, Application of Linear Equations to Word —Analytical Thinking, Interpretation
Problems • Brainstorming
—Application of Knowledge, Evaluation
• Reason It Out!
—Critical Thinking, Logical Reasoning
9. Direct and Inverse Types of Variation, Direct Variation, Inverse Variation • Maths Lab Activity (Deducing direct variation)
Variation —Creative Thinking, Interpretation

10. Time and Work Time and Work, Pipes and Cisterns • Brainstorming
—Critical Thinking, Logical Reasoning

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