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Army Public School Kandrori

Mathematics Split-up Syllabus

Class: 8 | Session: 2022-23
Academic Planning Document

General Instructions and Course Objectives

The Mathematics curriculum for Class 8 at Army Public School Kandrori for the session 2022-23 is designed to consolidate the mathematical knowledge and skills acquired at the primary level. The syllabus follows the guidelines set by the CBSE, focusing on developing analytical thinking, logical reasoning, and problem-solving abilities.

The split-up syllabus provides a month-wise plan to ensure systematic coverage of all chapters. It allocates adequate time for theory, practice, revision, and periodic assessments. Teachers are encouraged to use digital tools, mathematical kits, and real-life examples to make the concepts concrete.

Prescribed Textbooks:

  • Mathematics - Class 8 (NCERT Textbook)
  • Mathematics for Class 8 (R.D. Sharma - Reference)
  • APs Kandrori Maths Lab Manual

Evaluation and Assessment Structure

The academic year is divided into two terms. The assessment structure emphasizes competency-based education. Internal assessments will include unit tests, oral quizzes, math lab activities, and project work.

Term 1 (April - Sept) Covers Half Yearly Syllabus
Exam: 80 Marks
Internal: 20 Marks
Term 2 (Oct - Mar) Covers Remaining Syllabus
Exam: 80 Marks
Internal: 20 Marks
Internal Assessment Periodic Tests, Multiple Assessments, Portfolio, and Subject Enrichment Activities.

Month-wise Split-up Syllabus

Month Chapter Name Periods Topics Covered Activities / Remarks
April Ch 1: Rational Numbers 08
  • Properties of Rational Numbers (Closure, Commutativity, Associativity, Distributivity).
  • Representation of Rational Numbers on the Number Line.
  • Rational Numbers between two Rational Numbers.
Activity: Number Line representation.
Worksheet: Properties verification.
Ch 2: Linear Equations in One Variable 10
  • Solving Equations having Linear Expressions on one side.
  • Applications of Linear Equations.
Oral Drill: Mental Math.
Quiz: Equation balancing.
May Ch 2: Linear Equations in One Variable (Contd.) 12
  • Equations reducible to Linear form.
  • Variables on both sides.
  • Reducing equations to simpler form.
Project: "Puzzle Cards".
Unit Test I (Ch 1 & 2).
July Ch 3: Understanding Quadrilaterals 15
  • Polygons: Classification, Diagonals, Sum of exterior angles.
  • Types of Quadrilaterals: Trapezium, Kite, Parallelogram.
  • Elements of a parallelogram.
  • Special Parallelograms: Rhombus, Rectangle, Square.
Maths Lab: Paper folding activity to verify properties of parallelograms.
August Ch 4: Data Handling 10
  • Organizing Data (Grouped Data).
  • Grouping Data with Class Intervals.
  • Circle Graph or Pie Chart.
  • Chance and Probability.
Activity: Drawing Pie Charts for daily activities.
Ch 5: Squares and Square Roots 08
  • Squares of numbers and patterns.
  • Finding Square Roots (Prime Factorization method).
  • Pythagorean Triplets.
Unit Test II.
Activity: Finding squares of numbers using dot grids.
September Revision & Half Yearly Exam 15
  • Review of Ch 1 to 5.
  • Practice of previous year papers.
  • Doubt clearing sessions.
Half Yearly Examination
October Ch 6: Cubes and Cube Roots 12
  • Cubes of numbers and patterns.
  • Finding Cube Roots (Prime Factorization method).
  • Smallest multiple that is a perfect cube.
Class Presentation on Hardy-Ramanujan Number (1729).
November Ch 7: Comparing Quantities 12
  • Recalling Ratios and Percentages.
  • Increase and Decrease Percent.
  • Profit and Loss, Discount.
  • Simple Interest and Compound Interest.
Real-life Math: Calculating tax on restaurant bills/shopping.
Ch 8: Algebraic Expressions and Identities 12
  • Addition, Subtraction of Expressions.
  • Multiplication: Monomial by Monomial, Binomial by Binomial.
  • Standard Identities (a+b), (a-b), (a+b)(a-b).
Activity: Verification of Identities using grid paper.
December Ch 11: Mensuration 18
  • Area and Perimeter: Square, Rectangle, General Quadrilateral.
  • Area of a Polygon (Rhombus, Trapezium).
  • Area of a General Quadrilateral and Special Quadrilaterals.
  • Cuboid: Surface Area and Volume.
  • Cube: Surface Area and Volume.
Unit Test III.
Lab Activity: Measuring surface area of a real box.
January Ch 12: Exponents and Powers 08
  • Laws of Exponents with Integral Powers.
  • Standard form (Scientific Notation).
Quiz on Exponents laws.
Ch 14: Factorisation 12
  • Factorisation by Common Factors, Regrouping terms.
  • Factorisation using Identities.
  • Division of Polynomials.
Worksheet on Error Correction (Common mistakes in factorisation).
February Ch 13: Direct & Inverse Proportions 10
  • Direct Proportion (More items, More cost).
  • Inverse Proportion (More speed, Less time).
  • Application-based problems.
Class Activity: Boyles Law example (Physics integration).
March Ch 15: Introduction to Graphs 10
  • Bar Graphs, Pie Graphs, Histograms.
  • Line Graphs (Linear graphs).
  • Linear Graphs (Coordinates dependent on one variable).
  • Application of Graphs: Quantity vs Cost, Time vs Distance.
Revision of Term 2 Syllabus.
Unit Test IV.
Mid-March Annual Examination Preparation -- Full syllabus revision, Mock Tests, and Final Examinations. Annual Examination
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