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I want the overview of class 7th mathematics. Please help me this is urgent actually i am studying in 8th standard so I have an entrance test in my tution , so please help me I have to clear this test .
I want the overview of class 7th mathematics. Please help me this is urgent actually i am studying in 8th standard so I have an entrance test in my tution , so please help me I have to clear this test .

```
one month ago Anand Kumar Pandey
3069 Points
```							Dear StudentNumber System (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.(iii) Powers:• Exponents only natural numbers.• Laws of exponentsAlgebraALGEBRAIC EXPRESSIONS• Generate algebraic expressions (simple) involving one or two variables • Identifying constants, coefficient, powers• Like and unlike terms, degree of expressions• Addition, subtraction of algebraic expressions • Simple linear equations in one variable (in contextual problems) with two operations Ratio and Proportion • 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 (i)Understanding shapes:•Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite) • 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 (iii)Symmetry• Recalling reflection symmetry• Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)• Operation of rotation through 900and 1800of 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 • 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• 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 twoangles on it, given two sides and the angle between them.Mensuration•Revision of perimeter, Circumference of CircleAreaConcept 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  (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.Thanks
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one month ago
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