Math Games

7.MN.1

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

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.

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)

7.MN.1.1

Revision of perimeter, Idea of, Circumference of Circle

7.MN.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

7.A.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)

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).

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.