| |
GRADE 7 MATH CURRICULUM Computation
(i) 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)
(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) am an am+n
(ii) (am)n =amn
(iii) am/an = am-n, where m - n ? ?
Algebra
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 with two operations (avoid complicated coefficients)
Ratio and Proportion
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
(i) 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. (90o, 120o, 180o)
Operation of rotation through 90o and 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
(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
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.
Probability & Statistics
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 bargraphs
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.
|
|
