Program Features :

Weekdays Batches and Special Weekend Batches

Total Duration of Syllabus:  120 hrs

a)      3 Hours / Week  - 1 hr per Day (3 Days in a Week)

b)      3 Hours / week 1.5 hrs per Day (2 Days in a Week)

2 Tests per Subject Per Month

Facilities :

Extra Classes for Doubts Removal and School Test Preparation

Timely Syllabus Completion

Full Length Test series for Final Touch

Online Support 24 X 7

Course Coverage Twice

Tests & Exam Tips

Technology Aided Teaching for Difficult Concepts

Recorded Lecture for Reference

Personalized Tuitions for 9th and 10th

NTSE & JSTSE Preparatory Courses

College Admissions Assistance

Syllabus of VII Class

Number System (50 hrs)

 (i) Knowing our Numbers: Integers

• Multiplication and division of integers (through patterns). Division by zero is meaningless

• Properties of integers (including identities for addition & multiplication, commutative, associative, distributive) (through patterns). These would include examples from whole numbers as well. Involve expressing commutative and associative properties in a general form. Construction of counterexamples, including some by children. Counter examples like subtraction is not commutative.

 • Word problems including integers (all operations) (ii) Fractions and rational numbers:

• Multiplication of fractions

 • Fraction as an operator

• Reciprocal of a fraction

• Division of fractions

• Word problems involving mixed fractions

• Introduction to rational numbers (with representation on number line)

• Operations on rational numbers (all operations)

• Representation of rational number as a decimal.

 • Word problems on rational numbers (all operations)

 • Multiplication and division of decimal fractions

 • Conversion of units (length & mass)

 • Word problems (including all operations) (iii) Powers:

 • Exponents only natural numbers.

 • Laws of exponents (through observing patterns to arrive at generalisation.) (i) nmnm aaa + ⋅ = (ii) () aa m n mn =(iii) a a amnmn= − , where mn − ∈Ν

(iv)

Algebra (20 hrs) ALGEBRAIC EXPRESSIONS

• Generate algebraic expressions (simple) involving one or two variables

• Identifying constants, coefficient, powers

• Like and unlike terms, degree of expressions e.g., xy 2 etc. (exponent≤ 3, number of variables )

 • Addition, subtraction of algebraic

expressions (coefficients should be integers).

• Simple linear equations in one variable (in contextual problems) with two operations (avoid complicated coefficients)

Ratio and Proportion (20 hrs)

• Ratio and proportion (revision)

• Unitary method continued, consolidation, general expression.

 • Percentage- an introduction.

 • Understanding percentage as a fraction with denominator 100

• Converting fractions and decimals into percentage and vice-versa.

• Application to profit and loss (single transaction only)

• Application to simple interest (time period in complete years).

Geometry (60 hrs)

Understanding shapes:

• Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite) (verification and simple proof of vertically opposite angles)

 • Properties of parallel lines with transversal (alternate,corresponding, interior, exterior angles) (ii) Properties of triangles:

• Angle sum property (with notions of proof & verification through paper folding, proofs using property of parallel lines, difference between proof and verification.)

 • Exterior angle property

• Sum of two sides of a it’s third side

 • Pythagoras Theorem (Verification only) (iii) Symmetry

 • Recalling reflection symmetry

• Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)

• Operation of rotation through 900 and 1800 of simple figures.

• Examples of figures with both rotation and reflection symmetry (both operations)

• Examples of figures that have reflection and rotation symmetry and vice-versa (iv)Representing 3-D in 2-D:

• Drawing 3-D figures in 2-D showing hidden faces.

• Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones).

 • Matching pictures with objects (Identifying names)

• Mapping the space around approximately through visual estimation.

 (v) Congruence

• Congruence through superposition (examplesblades, stamps, etc.)

 • Extend congruence to simple geometrical shapes e.g. triangles, circles.

• Criteria of congruence (by verification) SSS, SAS, ASA, RHS (vi)Construction (Using scale, protractor, compass)

• Construction of a line parallel to a given line from a point outside it.(Simple proof as remark with the reasoning of alternate angles)

 • Construction of simple triangles. Like given three sides, given a side and two angles on it, given two sides and the angle between them.

Mensuration (15 hrs)

 • Revision of perimeter, Idea of , Circumference of Circle Area Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, area between two rectangles and two concentric circles.

Data handling (15 hrs)

 (i) Collection and organisation of data – choosing the data to collect for a hypothesis testing.

 (ii) Mean, median and mode of ungrouped data – understanding what they represent.

 (iii) Constructing bargraphs

 (iv) Feel of probability using data through experiments.

Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of throws. Comparing the observation with that for a coin.

               Observing strings of throws, notion of randomness

Sample Paper for Class VII Students