8th Class Unit Plans and Year Plan
SCERT Telangana · Mathematics · Class 8
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8th Class Unit Plans and Year Plan — SCERT Telangana
About This Teaching Plan — Class 8 Mathematics (SCERT Telangana)
This booklet contains the official Year Plan and Unit Plans for Class 8 Mathematics prepared by an expert resource group of experienced Mathematics teachers from Telangana. It covers all 15 chapters of the Class 8 Maths syllabus with a total of 226 allotted periods across the academic year. The plan is designed to help Mathematics teachers answer three fundamental questions for every topic: What to teach, Why to teach, and How to teach. It follows the competency-based learning framework recommended under the National Education Policy (NEP) 2020 and integrates ICT tools, AI resources, and hands-on Teaching Learning Materials (TLM) into every unit.
The resource group behind this plan includes Sri Dr. Kandala Ramaiah (ZPHS Abbapur, Mulugu), Sri Emmadi Ramu (ZPHS Bodangiparthy, Nalgonda), Sri Kasam Santhosh Kumar (ZPSS Areguda, K.B.Asifabad), and Smt Md. Meharaj (ZPHS Nandipahad, Nalgonda), with academic guidance from Sri Komanduru Sreedharacharyulu, Faculty at SCERT Hyderabad. The plans are model templates — teachers may adapt the period allocation and activities to suit their specific classroom needs.
All 15 Chapters — Period-wise Distribution
The Year Plan maps every chapter of Class 8 Mathematics to specific months with a clear period allocation. The table below summarises the complete chapter-wise teaching schedule:
Annual Learning Outcomes — What Students Will Achieve by Year End
By the end of Class 8, students who follow this teaching plan will be able to demonstrate competency across five academic standards: Problem Solving, Reasoning and Proof, Communication, Connection, and Visualisation and Representation. Specifically, students will be able to generalise properties of operations on rational numbers; solve linear equations in one variable with variables on one or both sides; construct different types of quadrilaterals using compass and straightedge; apply laws of exponents to simplify exponential expressions and convert between standard and usual forms; calculate profit, loss, discount, VAT, GST, simple interest, and compound interest; find squares, cubes, square roots, and cube roots using multiple methods including prime factorisation and long division; find mean, median, and mode for ungrouped data; construct histograms, bar graphs, frequency polygons, and ogive curves; identify similar, congruent, and symmetric figures; find areas of trapezium, quadrilateral, rhombus, polygon, circle, circular ring, and sector; solve problems on direct, inverse, and compound proportions; perform addition, subtraction, and multiplication of algebraic expressions using identities; factorise algebraic expressions; represent 3D shapes on isometric dot sheets; find lateral surface area, total surface area, and volume of cube and cuboid; and prove and apply divisibility rules for numbers 2 through 11.
What Each Unit Plan Contains
Every chapter in this Class 8 Mathematics Teaching Plan is presented as a structured unit plan with the following components:
- Chapter-wise Learning Outcomes — precise, observable outcomes that every student should achieve by the end of the unit, written in action-verb format (e.g., generalises, solves, constructs, explains, verifies)
- Prerequisites — the prior knowledge students need before beginning the chapter, so teachers can identify and address learning gaps early
- Sub-topic Breakdown with Period Allocation — every chapter is divided into clearly defined sub-topics, each assigned a recommended number of teaching periods so that time is managed effectively across the academic year
- Concept Map — a visual mind-map of the chapter showing how all sub-topics are connected, helping teachers explain the big picture to students before teaching individual topics
- Required TLM (Teaching Learning Materials) — specific, practical materials listed for each chapter such as number line charts, geometry boxes, quadrilateral models, isometric dot sheets, unit cubes, graph papers, and algebraic identity charts
- ICT Tools — recommended digital tools including IFP (Interactive Flat Panel), GeoGebra, DIKSHA App, and Khan Academy, aligned with NEP 2020's emphasis on technology integration
- Teacher's Reflections Space — a dedicated section for teachers to record their observations, challenges, and improvements after completing each unit
- Monthly Activities — co-curricular activities including Quizzes, Project Reviews, and National Mathematics Day Celebrations tied to specific chapters
Chapter Highlights — What Students Learn in Each Unit
Rational Numbers (21 periods): This opening chapter builds on students' prior knowledge of integers and fractions to introduce the complete set of rational numbers. Students learn to classify and express numbers belonging to different number sets, perform all four operations on rational numbers, and understand the closure, commutative, associative, distributive, identity, and inverse properties. They represent rational numbers on a number line, find rational numbers between any two given rational numbers, and convert between decimal form and rational form — including both terminating decimals and non-terminating recurring decimals.
Linear Equations in One Variable (13 periods): This chapter deepens students' understanding of algebra by moving beyond simple equations to solving linear equations with variables on one side or on both sides. Students learn the general form of a linear equation, practise solving increasingly complex equations by transposing terms and applying inverse operations, and reduce equations to simpler forms including equations reducible to linear form. The chapter also introduces types of triangles, angle sum property, exterior angles, parallel lines, and angles formed by a transversal — all as contexts for setting up and solving equations.
Construction of Quadrilaterals (13 periods): Students extend their geometry toolkit to construct all major types of quadrilaterals using compass and straightedge. The chapter covers constructing angles without a protractor (30°, 45°, 60°, 90°, 120°), drawing perpendicular bisectors and angle bisectors, and constructing quadrilaterals given five pieces of information: four sides and one angle (SSSSA), four sides and a diagonal (SSSSD), three sides and two diagonals (SSSDD), two adjacent sides and three angles (SASAA), three sides and two included angles (SASAS), and the special cases of rhombus and square when both diagonals are given.
Exponents and Powers (11 periods): Students work with integral exponents, learning to express numbers in exponential form, expand them using exponential laws, and apply the laws of indices to simplify problems. A key focus is converting numbers between standard (scientific) form and usual form, and comparing very large and very small numbers expressed as powers of 10. The chapter also helps students identify and correct common errors made in exponential calculations, building a deeper conceptual understanding rather than rote application.
Comparing Quantities Using Proportion (21 periods): This practically oriented chapter covers ratios and compound ratios, percentage increase and decrease, discounts, estimation in percentages, profit and loss, sales tax, VAT, and GST. The second half introduces simple interest and compound interest, including deriving the compound interest formula, computing interest compounded annually or half-yearly, and applying the compound interest formula to real-life situations such as population growth, depreciation, and bacterial growth.
Square Roots and Cube Roots (20 periods): Students explore the properties and patterns of perfect squares and cubes, Pythagorean triplets, and the relationship between consecutive square numbers. They find square roots using three methods — subtraction of successive odd numbers, prime factorisation, and long division — including the square root of decimal numbers. For cube roots, students use prime factorisation and estimation methods. The chapter connects squares and cubes to geometric representations and builds fluency in estimation that supports mental mathematics.
Frequency Distribution Tables and Graphs (16 periods): Building on earlier data handling, this chapter introduces grouped data, class intervals, limits, boundaries, mid-values, and cumulative frequency. Students find mean by the deviation method, and determine median and mode for raw data. They construct grouped frequency distribution tables, draw histograms, bar graphs, frequency polygons (with and without histograms), frequency curves, and ogive curves for both less-than and greater-than cumulative frequencies. These skills directly prepare students for SA-1 examinations.
Exploring Geometrical Figures (9 periods): Students study congruent shapes (same shape, same size), similar shapes (same shape, different size), dilations, and three types of symmetry — line symmetry, rotational symmetry, and point symmetry. They learn to apply similarity to find heights of mountains, buildings, and towers using ratios of corresponding sides, construct dilations on graph paper, and connect the concept of tessellations and symmetry to English alphabets and everyday objects. The relationship between the number of sides of a regular polygon and its order of rotational symmetry is also explored.
Areas of Plane Figures (19 periods): Students learn and apply area formulae for trapezium, general quadrilateral, rhombus, polygon, circle, circular ring (annulus), and sector. They convert irregular field shapes into combinations of known shapes, solve problems by drawing suitable diagrams for verbal descriptions, explore the relationship between arc length and the central angle of a sector, and connect area concepts to coordinate geometry. The chapter uses graph paper extensively for visual verification of area formulae.
Direct and Inverse Proportions (12 periods): Students deepen their understanding of proportional reasoning by studying direct proportion (x ∝ y), inverse proportion (x ∝ 1/y), and compound proportion. They connect proportional relationships to real-life situations — speed and time, workers and days, pipes and tanks — and solve problems using the ratio equality method for both direct and inverse cases. Compound proportion problems, where one quantity depends on two others varying in different directions, are solved by equating the ratio of the first quantity to the compound ratio of the other two.
Algebraic Expressions (14 periods): This chapter covers addition, subtraction, and multiplication of algebraic expressions at increasing levels of complexity: monomial by monomial, three or more monomials, binomial or trinomial by a monomial, and binomial by binomial or trinomial. A major component is the study of algebraic identities — (a+b)², (a−b)², (a+b)(a−b), and (x+a)(x+b) — with applications to mental multiplication, simplification of expressions, and geometrical interpretation using square and rectangular area models. December's National Mathematics Day Celebrations are tied to this chapter.
Factorization (12 periods): The inverse of multiplication, factorisation is taught through three methods: taking out common factors, grouping the terms, and using algebraic identities. Students also factorise expressions of the form (x+a)(x+b) and perform polynomial division — monomial by monomial, expression by monomial, and expression by expression. The chapter concludes with exercises in finding and correcting errors in given algebraic statements, developing mathematical reasoning skills.
Visualising 3-D in 2-D (9 periods): Students distinguish between 2D and 3D shapes, represent 3D solids on graph paper and isometric dot sheets, and identify faces, edges, and vertices of various 3D objects. They explore polyhedra (cube, cuboid, triangular prism, triangular pyramid, square pyramid, pentagonal prism, pentagonal pyramid, octagonal prism) and non-polyhedra (sphere, cylinder, cone), verify Euler's formula (F + V = E + 2) for each, and construct 3D shapes from net diagrams. This unit builds the spatial visualisation that underpins all solid geometry in higher classes.
Surface Areas and Volumes — Cube and Cuboid (10 periods): Students learn to distinguish between lateral surface area and total surface area, derive the formulae for both cube and cuboid from their net diagrams, and solve problems involving painting, wrapping, and packaging. Volume is introduced as the amount of space occupied, and students solve problems involving filling containers with liquid, converting between cm³, ml, litres, and m³. Unit cubes are used as manipulatives to build intuition before formula-based computation.
Playing with Numbers (23 periods): The final and most extensive chapter of Class 8 covers number theory at a deeper level than earlier classes. Students explore the expanded form of numbers as the basis for divisibility rules, then systematically prove and apply divisibility rules for 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 — including a special method for testing divisibility by 7 for large numbers. They solve puzzles with missing digits, engage in fun patterns with 3-digit numbers and palindromes, and derive the formula for the sum of first 'n' natural numbers: n(n+1)/2.
ICT Tools and Resources Recommended for Class 8 Maths Teachers
The Class 8 teaching plan recommends a consistent set of free digital tools across all chapters. GeoGebra is used for dynamic exploration of number lines, geometric constructions, coordinate geometry, and algebraic identities. The DIKSHA App provides curriculum-aligned digital content videos and activities mapped directly to the SCERT Telangana syllabus. Khan Academy offers practice exercises, worked examples, and mastery-based assessments for every topic from rational numbers to surface areas. The IFP (Interactive Flat Panel) enables whole-class interactive demonstrations — particularly useful for concept maps at the start of each chapter and for displaying graphs, net diagrams, and 3D visualisations. These resources align with the ICT and AI integration goals of the NEP 2020 framework and are available free of charge.
How to Use This Teaching Plan
Mathematics teachers in Telangana state schools — both government and aided institutions — can use this plan at the start of the academic year to map their teaching schedule. The Year Plan provides a month-by-month overview with period counts, while the individual Unit Plans offer a detailed road map with sub-topic breakdowns. Teachers should read the prerequisite section of each chapter before beginning a new unit to gauge students' prior knowledge and address any gaps. The TLM list for each chapter helps in advance preparation of materials, and the Concept Map can be drawn on the blackboard at the start of each chapter to give students the complete picture before individual sub-topics are taught. The plan also specifies months for SA-1 and SA-2 exam preparation, ensuring revision is built into the schedule rather than treated as an afterthought. As the resource group notes, this plan is intended to serve as a model — teachers may adapt the period allocation and activities to suit their specific classroom context and student needs.
Download the PDF
The complete 8th Class Mathematics Unit Plans and Year Plan — prepared by the SCERT Telangana resource group — is available as a free PDF download from EduBadi. The PDF is printer-friendly and contains the full Year Plan table, all 15 chapter-wise unit plans with sub-topic schedules, concept maps, TLM lists, ICT tool recommendations, teacher reference sections, and teacher reflection pages. Click the Download PDF button above to save it to your device.