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8 ARCHIVE CLASS 8 MATHEMATICS

R/8                                                               
25.06.2020 - 10.07.2020
LINKS
Click on the chapter's name to download the chapter in PDF form.
TOPIC: Introduction, Percentage, Fraction and Decimals, Percentage Change, Discount, Successive Discount, Taxes-Sales tax and Value Added Tax.


NOW WATCH THE INTRODUCTION.

EXPLAINED
1. Introduction, Percentage, Fraction and Decimals,
2. Percentage Change,
3. Discount,
4. Successive Discount,
5. Taxes-Sales tax and Value Added Tax.

MAIN TEACHING                                       
Oral and explanation with some written work

1. Introduction, Percentage, Fraction and Decimals,
NOW WATCH THE VIDEO

2. Percentage Change,
NOW WATCH THE VIDEO.
 
3. Discount,
NOW WATCH THE VIDEO.
Now Watch the Video...

4. Successive Discount,
NOW WATCH THE VIDEO.
 
5. Taxes-Sales tax and Value Added Tax.
NOW WATCH THE VIDEO.

STUDENTS TAKE AWAY
Complete all examples and Exercise 8(A), 8(B), 8(C),8(D) and 8(E) from the given link below.
ASSIGNMENT
Complete the questions given in Chapter Assessment in OCB.

R/7                                           
17/06/2020 - 21/06/2020
LINKS
Click on the chapter;s name to download the chapter in PDF form.
TOPICSIntroduction, Squares, Perfect Square, Properties of Square Numbers, Pythagorean Triplets, Finding Square Root of a Perfect Square, Finding Square root by Division method, Finding Square Root of Perfect Square Decimal number by division Method, Square Root of Numbers Which are not Perfect Squares, Cubes, Perfect Cube, Properties of Cubes of Numbers, Finding the cube Root.

EXPLAINED
1. Introduction, Squares, Perfect Square,
2. Properties of Square Numbers, Pythagorean Triplets,
3. Finding Square Root of a Perfect Square,
4. Finding Square root by Division method,
5. Finding Square Root of Perfect Square Decimal number by division Method,
6. Square Root of Numbers which are not Perfect Squares,
7. Cubes, Perfect Cube, Properties of Cubes of Numbers, Finding the cube Root.

MAIN TEACHING  
Oral and explanation with some written work
1.Introduction, Squares, Perfect Square,
Watch the Video now..

2. Properties of Square Numbers, Pythagorean Triplets,

3. Finding Square Root of a Perfect Square,

4. Finding Square root by Division method,

5. Finding Square Root of Perfect Square Decimal number by division Method,

6. Square Root of Numbers which are not Perfect Squares,

7. Cubes, Perfect Cube, Properties of Cubes of Numbers, Finding the cube Root.
Watch the Video now...

STUDENTS TAKE AWAY
Complete all examples and Exercises3(A), 3(B), 3(C) and 4 from the given link of the chapter.
ASSIGNMENT
Complete the questions given in Chapter Assessment in OCB.

R/6                                           
LINKS
Click on the chapter's name to download in PDF form.
TOPIC:Introduction, Factorizing Perfect Trinomial Squares, Factorizing Difference of Two Squares, Highest Common factors, Polynomials.

EXPLAINED

1. Introduction, Factorizing Perfect Trinomial Squares,
2. Factorizing Difference of Two Squares,
3. Highest Common factors,
4. Polynomials.

MAIN TEACHING                                       
Oral and explanation with some written work
1. lntroduction, Factorizing Perfect Trinomial Squares,
2. Factorizing Difference of Two Squares,
3. Highest Common factors,
4. Polynomials.

NOW WATCH THE VIDEOS.

1.lntroduction, Factorizing Perfect Trinomial Squares

2. Factorizing Difference of Two Squares
                              A                              
  
                             B

3. Highest Common factors
  
4. Polynomials
 
STUDENTS TAKE AWAY
Complete all examples and Exercises 6(A), 6 (B),6(C),6(D),6(E), 6(F) and 6(G) from the given link below.
ASSIGNMENT
Complete the Assessment in OCB.

R/5                                           
LINKS
Click on the chapter name to download chapter in PDF form.








TOPIC:Introduction, Types of Quadrilateral, Area of trapezium, Area of a Rhombus, Area of irregular rectilinear figure.

EXPLAINED
1. Introduction, Types of Quadrilateral,
2. Area of trapezium,
3. Area of a Rhombus,
4. Area of irregular rectilinear figure.

MAIN TEACHING                                       
Oral and explanation with some written work
1. Introduction, Types of Quadrilateral,
2. Area of trapezium,
3. Area of a Rhombus,
4. Area of irregular rectilinear figure.

WATCH VIDEO FOR YOUR BETTER UNDERSTANDING

STUDENTS TAKE AWAY
Complete all examples and Exercise 16(A) and 16(B)from given link of chapter.
ASSIGNMENT
Complete the questions given in Chapter Assessment in OCB.

R/4                                           
LINKS
Click on the chapter name to download chapter in PDF form.
TOPICS: Introduction, Sides, Angles and Diagonals of a Quadrilateral, Adjacent Sides and Opposite Sides, Angle Sum Property of a Quadrilateral, interior and Exterior Angles of a quadrilateral, Exterior Angles Sum property.

EXPLAINED
1. Introduction, Sides, Angles and Diagonals of a Quadrilateral,
2. Adjacent Sides and Opposite Sides,
3. Angle Sum Property of a Quadrilateral,
4. Interior and Exterior Angles of a quadrilateral,
5. Exterior Angles Sum property.

MAIN TEACHING                                      
Oral and explanation with some written work
1. Introduction, Sides, Angles and Diagonals of a Quadrilateral,
 2. Adjacent Sides and Opposite Sides,
3. Angle Sum Property of a Quadrilateral,
4. Interior and Exterior Angles of a quadrilateral,
5. Exterior Angles Sum property.

WATCH VIDEO FOR YOUR BETTER UNDERSTANDING

STUDENTS TAKE AWAY
Complete all examples and Exercise 12 from given link of chapter.

ASSIGNMENT
1.  One angle of a parallelogram is of measure 70°. Find the measures of the remaining angles of the parallelogram.
2.  In the given figure PR is a diagonal of the parallelogram PQRS.
       (i) Is PS = RQ? Why?

       (ii) Is SR = PQ? Why?
       (iii) Is PR = RP? Why?
       (iv) Is ΔPSR ≌ ΔRQP? Why?
3.  The perimeter of a parallelogram is 150 cm. One of its side is greater than the other by 25 cm.
       Find length of all sides of the parallelogram.
4.  Lengths of adjacent sides of a parallelogram is 3 cm and 4 cm. Find its perimeter.
5.  In a parallelogram, the ratio of the adjacent sides is 4 : 5 and its perimeter is 72 cm then, find the sides of the parallelogram.
6.  The adjacent figure HOPE is a parallelogram. Find the angle measure x, y and z.
       State the properties you use to find them.

7.  Find value of x and y in the following figures.
       (i) where ABCD is a parallelogram.

       (ii) where PQRS is a rhombus.

8.  Find x, y, z in the given parallelogram ABCD.

9.  In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1: 2: 3: 4. Find the measure of each angle of the quadrilateral.
10.  The interior angle of a regular is 108°. Find the number of sides of the polygon.
11.  The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides have the polygon?
12.  The measures of two adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of each of the angles of the parallelogram.
13.  If an exterior angle of a regular polygon is 45°, then find the number of its sides.
14.  If an interior angle of a regular polygon is 162°, then find the number of its sides.
15.  Find the measure of an interior angle of a regular polygon having 15 sides.
16.  An angle of a parallelogram measures 70°. Find the measure of the remaining three angles.
17.  One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three angles.
18.  What is the ratio of the interior angles of a pentagon and a decagon?

R/3                                           
Ch. 9 Algebraic Expressions
TOPIC: Introduction, Terms, Factors and Coefficients, Monomials, Binomials and Polynomials, Addition and Substraction of Algebraic Expressions, Multiplication of Algebraic Expressions, Identity,

EXPLAINED

1.     Introduction
2.     What are Expressions?
3.     Monomials, Binomials and Polynomials
4.     Addition and Substraction of Algebraic Expressions
5.     Multiplication of Algebraic Expressions and Identity.

MUST WATCH TO BETTER YOUR UNDERSTANDING
Video 01,     Video 02,       Video 03,     Video 04,    Video 05,     Video 06,       Video 07.           

MAIN TEACHING
Oral and explanation with some written work
1.   Introduction
2.   What are Expressions?
3.   Monomials, Binomials and Polynomials
4.   Addition and Substraction of Algebraic Expressions
5.   Multiplication of Algebraic Expressions and Identity.

STUDENTS TAKE AWAY
Complete all questions of Exercises 9.1,9.2,9.3,9.4 and 9.5 from the given link below.
                      
MATHEMATICS ASSIGNMENT- CLASS VIII                       
TOPIC- ALGEBRAIC EXPRESSION AND IDENTITIES
                              SECTION- A (very short answers)
1. Find the area of the rectangle whose length is 10p + 7q and breadth is 3r.
2. Find the value of (7.95)² - (2.05) ² 7.95-2.05
3. Write one term each which are like (i) 5x²y³ (ii) -4xy²z4
4. Identify the terms and their coefficients in 4x2y-7x3+ y4
5. What is the volume of a rectangular box of sides x2y, xy2 and 3xy.


                              SECTION-B (short answers)
6. Rohan purchased a rectangular plot whose two adjacent sides are 
y-6x+3z+8 and x-2y-5z-8. He wants to put a wire fence twice around it. Find the total length of the wire needed.
7. If a2 + b2=99, ab=9, find the value of a-b
8. Find the value of x if 15x=502 -402.
9. What will be the product if we multiply double of (x-2/x) by triple of (x+2/x). 
10. What should be subtracted from 3a+7b-10 to get -2a-7b+9.
                              SECTION-C (long answers)
11. Subtract 5xy(x+y-5) from x(6x2 -7y+5) + xy(x+y).
12. Evaluate using a suitable identity (i) (98)(ii) 156 X 158
13. What must be added to the sum of x 2 -4x+7 and 2x2+5x-9 to get 0.
14. If x-1/x=3, find the value of x2+ 1/x2.
15. Find the value of the following expression if x=1/4 and y= 2/7 36x2+49y2+84xy.
                              SECTION-D (very long answers)
16. Simplify x3 (2x2 -3)-3x2 (4x-x 3)-7x 5 and find its value at x=-1.
17. Simplify using a suitable identity (i) (x3+2/x3) (x2 -2/x3) (ii) (2.3x + 3.5y)2 
18.Prove that (6a-5b)-(6a+5b)2 = -120 ab
19. Find the following product and verify the result for x= -1, y=2 (3/5x –y/2) (5/3x+6y)
20. If A= (1/3x2 -4/7x+11) , B= (1/7x-3+2x2 ), C= (2/7x-2/3x2+2). Find A+B-C.

R/2                                           
LINKS
TOPIC: Introduction, Properties of Rational Numbers:- Closure, Commutativity, Associativity; The role of zero (0), Negative of a number, Reciprocal, Distributive of multiplication over addition for rational numbers, Representation of Rational Numbers on the Number Line, Powers.  

EXPLAINED
1. Properties of Rational Numbers:- Closure, Commutativity, Associativity;
2. The role of zero (0), Negative of a number, Reciprocal,
3. Distributive of multiplication over addition for rational numbers,
4. Representation of Rational Numbers on the Number Line,
5. Powers

MUST WATCH TO BETTER YOUR UNDERSTANDING

MAIN TEACHING
Oral and explanation with some written work
1. Properties of Rational Numbers:- Closure, Commutativity, Associativity;
2. The role of zero (0), Negative of a number, Reciprocal,
3. Distributive of multiplication over addition for rational numbers,
4. Representation of Rational Numbers on the Number Line,
5. Powers

STUDENTS TAKE AWAY
Complete all examples and Exercise 1.1, 1.2 from given link of chapter.

ASSIGNMENT
1) Represent the following rational numbers on the number line:
a)-3/4     b) 31/-6     c) -1/2    d) ¾
2) Write the following rational numbers in the standard form:
a) 5/15     b) -24/40     c) 33/-77    d) -45/-105
3) Compare the following rational numbers:
1) -9/27, 6/-18     2) -5/7, 10/-6
3) 3/-8, -15/40     4) -11/7, 33/21
4) Arrange the following rational numbers in the descending order:
1) 2/-3, -4/9, -5/12, 7/-18
2) 3/-4, -5/12, -7/16, 9/-24
5) Arrange the following rational numbers in the ascending order:
1) 2/5, 1/3, 3/4, 1/6     2) 5/6, 7/8, 11/12, 3/10
6) Fill in the blanks by the correct symbol >, = or < :
1) | 3/4| ---------| ½|    2) |-1/2| ----- | -3/4 |
7) Add: 1) 3/7 and -9/7,    2) 5/9 and 7/-9
3) 2/5, 5/-9 and -6/15
8) Simplify: 1) -2 + ( 3 / 8 ) + ( - 1 / 5 ) , 2) (2/3) + ( -7/11) + (-1/4 )
9) Verify that a + b = b + a by taking (1) a = -7/5, b = 2/7
(2) a = -1 , b = -2/3
10) Verify that (a+b)+c.=a+(b+c) by taking
(1) a = -2 , b = -2/3 , c = -3/4
(2) a = -12, b = -9/11, c = 7/-12
11) Simplify the following:
1) (2/3) + (-4/5) + I + (-2/3) + (-11/5)
2)(5/8) + (-8/9) + 0 + (-13/3) + (17/24)
12) Subtract : 1) (-3/4) from (1/2)    2) (5/8) from (-3/14)
13) What should be added to (-7/20) to get (-2/5)?
14) The sum of two rational numbers is (-3/7). If one of the number is (-5/8) find the other.
15) The sum of two rational numbers is (-5/8). If one of the number is (-6/11), find the other number.
16) To which number should (2/3) be added to give (-11/4)?
17) From which number should (-11/4) be subtracted to give (-11/4)?
18) Find the product of :
1) 5/9, -2/5     2) -5, -3/15
19) Multiply, and give the product in the standard form:
1) -6/25 by 50/24     2) 3/11 by 22
3) 21/5 by -15/21     4) -36 by -5/9
20) Verify the property a x b = b x a by taking :
1) a = (-12/7), b = (-21/5)    2) a = 0 , b = (-13/3)
21) Verify the property a x ( b x c ) = (a x b) x c by taking
1) a = (7/5), b = (-9/4), c = (1/2)
2) a = 1, b = (-13/5), c = (3/5)
22) Verify the property ax(b+c)=(axb)+(axc) by taking:
1) a = (1/3), b = 0, c = (-7/6)
2) a = -2, b = (9/5), c = (-2/15)
23) Verify ( x x y )-1 = x-1 x y-1
1) x = 1/2, y = 1/3     2) x = -3/4 y=-1/8
24) Verify that | x + y | ≤ | x| + | y | by taking x= 13/4 and y= 3/2
25) Verify that | x + y | = | x| + | y | by taking x = 1/2 and y = -1/4
26) The product of two rational numbers is 6. If one of them is 8, find the other number.
27) By what number should (-6/11) be multiplied to get (-32/11)?
28) Find the rational number between:
1) 3 and 4     2) -7 and -6
29) Find three rational numbers between:
1) -5 and 8     2) ( -1/3 ) and (1/2)
30) State whether true or false: (practice worksheet on rational numbers)
1) Absolute value of a rational number is either positive or 0.
2) There are countless rational numbers with absolute value less than 5.
3) The absolute value of 0 is 0.



R/1                                           
LINKS
TOPIC: Introduction, Exponents, Laws of exponents, Powers with Negative Exponent , Comparing very large and very small numbers

EXPLAINED
1. Introduction of Exponents,
2. Laws of exponents,
3. Powers with Negative Exponent,
 4. Comparing very large and very small numbers

MUST WATCH TO BETTER YOUR UNDERSTANDING

MAIN TEACHING
Oral and explanation with some written work
1. Introduce exponents and powers
2. Discuss Laws of exponents
3. Powers with Negative Exponent
4. Comparing very large and very small numbers

STUDENTS TAKE AWAY

1. Express 256 as a power 2.
2. Complete Exercise 12.1 and 12.2 from given link of chapter.

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