Class 7 Mathematics Karnataka Board Syllabus

Class 7 Mathematics Karnataka Board Syllabus

1. Number System

  • 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)
  • 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 (lengths & mass)
    • Word problems (including all operations)
  • Powers
    • Exponents only natural numbers.
    • Laws of exponents (through observing patterns to arrive at generalization.)

2. Algebra

  • Algebraic Expressions
    • Review of elementary concepts in Algebra.
    • Identifying constants, coefficient, powers
    • Like and unlike terms, degree of expressions e.g. x y 2 etc. (exponent ≤ 3 number of variables ≤ 2)
    • Addition, subtraction of algebraic expressions (coefficients should be integers).
    • Simple linear equations in one variable (in contextual problems) with two operations (avoid complicated coefficients)
    • Multiplication of algebraic exp.(co-efficient should be integers)

3. Ratio and Proportion

  • Ratio and proportion (revision)
  • Unitary method continued consolidation, general expression.

4. Percentage

  • An introduction w.r.t life situation.
  • Understanding percentage as a fraction with denominator 100
  • Converting fractions and decimals into percentage and vice-versa.
  • Application to profit & loss (single transaction only)
  • Application to simple interest (time period in complete years)

5. Geometry

  • 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)
  • 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 D > it’s third side
    • Pythagoras Theorem (Verification only)
  • Symmetry
    • Recalling symmetry
    • Idea of rotational symmetry, observations of rotational symmetry of 2D objects. (90º,120º, 180º)
    • Operation of rotation through 90º &180º 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
  • Representing 3D in 2D
    • Cuboids, cylinders, cones and tetrahedrons.
    • Drawing 3D figures in 2D showing hidden faces.
    • Identification & counting of vertices edges, faces, nets (for cubes cuboids, & cylinders, cones) using pictures.
    • Matching pictures with objects (Identifying names)
    • Representing the space around approximately through visual estimation.
  • Congruence
    • Congruence through superposition (examples-coins, biscuits, bangles, stamps, etc.)
    • Extend congruence to simple geometrical shapes e.g. triangles, circles.
  • Construction (Using scale, protractor, compass)
    • Perpendicular bisector.
    • Angle bisector- making angles of 30º, 45º, 90º etc. (using compasses)
    • Angle equal to a given angle (using compass)
    • Drawing a line perpendicular to a given line from a point a) on the line b) outside the line
    • Construction of a line parallel to a given line from a point outside it.(Simple proof as remark with the reasoning of alternate angles)

6. Mensuration

  • Revision of perimeter, Idea of p, 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.

7. Data handling

  • Collection and organisation of data – choosing the data to collect for a hypothesis testing.
  • Mean, median and mode of ungrouped data understanding what they represent.
  • Constructing bar graphs
  • 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. Preparing the bar graph.
  • Comparing the observation with that for a coin. Observing strings of throws, notion of Randomness of ungrouped data.
Study Materials for Class 7

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