• 7
    VII Standards
Top Mathematicians
  • Money
  • Geometry
    • 7.G.1.1
      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)
    • 7.G.1.2
      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)
    • 7.G.1.3
      Symmetry
      • Recalling reflection symmetry
      • Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (90°, 120°, 180°)
      • Operation of rotation through 90° and 180° 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
    • 7.G.1.4
      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.
    • 7.G.1.5
      Congruence
      • Congruence through superposition (examples-blades, stamps, etc.)
      • Extend congruence to simple geometrical shapes e.g. triangles, circles.
      • Criteria of congruence (by verification) SSS, SAS, ASA, RHS
    • 7.G.1.6
      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
    • 7.MEN.1.1
      Revision of perimeter, Idea of, Circumference of Circle
    • 7.MEN.1.2
      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
  • The Number System
    • 7.NS.1.1
      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)
    • 7.NS.1.2
      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)
    • 7.NS.1.3
      Powers:
      • Exponents only natural numbers.
      • Laws of exponents (through observing patterns to arrive at generalisation.)
      - a^m x a^n= a^(m+n)
      - (a^m)n = a^(mn)
      - (a^m) /(a^n) = a^(m-n), where (m-n ∈ N)
  • Algebra
    • 7.OA.1.1
      Algebraic Expressions
      • Generate algebraic expressions (simple) involving one or two variables
      • Identifying constants, coefficient, powers
      • Like and unlike terms, degree of expressions e.g., x²y 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)
  • Ratios and Proportional Relationships
    • 7.RP.1.1a
      Ratio and proportion (revision)
    • 7.RP.1.1b
      Unitary method continued, consolidation, general expression.
    • 7.RP.1.1c
      Percentage - an introduction.
    • 7.RP.1.1d
      Understanding percentage as a fraction with denominator 100
    • 7.RP.1.1e
      Converting fractions and decimals into percentage and vice-versa.
    • 7.RP.1.1f
      Application to profit and loss (single transaction only)
    • 7.RP.1.1g
      Application to simple interest (time period in complete years).
  • Data Handling
    • 7.DH.1.1a
      Collection and organisation of data – choosing the data to collect for a hypothesis testing.
    • 7.DH.1.1b
      Mean, median and mode of ungrouped data – understanding what they represent.
    • 7.DH.1.1c
      Constructing bargraphs
    • 7.DH.1.1d
      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.