Planet Infinity...My K.H.M.S. Math Class

Circles Problem 4(Video)

2012-01-25T12:51:00.002+05:30

Circles Problem 3(Video)

2012-01-25T12:49:00.002+05:30

Circles Problem2 (Video)

2012-01-25T12:47:00.002+05:30

Circles Problem 1(Video)

2012-01-25T12:42:00.001+05:30

Sample paper for SA2 Class 9 Mathematics 2011-12

2012-01-24T19:43:00.002+05:30

Sample paper class9 Mathematics SA2 2011-12

Sample paper for SA2 Class 10 Maths 2011-12

2012-01-24T19:40:00.002+05:30

Maths Sample paper class 10 SA2

Activity Area of a parallelogram

2012-01-18T09:58:00.000+05:30

Objective: To get the formula for area of a parallelogram by paper cutting and pasting.

Material required: Dotted paper, pair of scissors, ruler, pencil, glue.

Procedure:

1.Draw a parallelogram on a dotted paper . Name it ABCD.

2. Drop a perpendicular from D on AB.

3. Cut along the perpendicular drawn as shown below.

4. Displace the cut out and place it adjacent to BC as shown below.

5. Observe the new shape. It is a rectangle. Write the area.

Result: Area of a parallelogram = base x height

Folding puzzle challenge!

2012-01-12T09:29:00.002+05:30

Fold the rectangle along the lines in such a way that the squares are in serial order from 1 to 8, with number 1 face-up on top.You cannot tear the rectangle, just fold and possibly slightly bend it.Have fun!

Play Alfakodu

2012-01-10T15:18:00.000+05:30

Ramanujan, a great Mathematician

2012-01-09T21:22:00.000+05:30

Dear students,As you are aware that the year 2012, is celebrated as National Mathematics Year. Read about Ramanujan and his contribution in Mathematics.

Ramanujan via kwout

2012, National Mathematics Year

2012-01-06T15:54:00.001+05:30

Prime minister Manmohan Singh declared year 2012 as ‘National Mathematical Year’ as a tribute to maths wizard Srinivasa Ramanujan. PM said that the number of competent mathematicians in the country is “badly inadequate”.He also called for changing the perception that pursuit of mathematics does not lead to attractive career possibilities. He announced that his birthday - Dec. 22 - would henceforth be a National Mathematics Day and 2012 would be the National Mathematical Year.He was talking in a function to here mark the 125th birth anniversary of Ramanujan in Chennai.

Video Transformations- Rotation

2011-12-01T10:41:00.001+05:30

Visualise the cocept of rotating a shape 90 degrees, 180 degrees. Watch this video.

Video Transformations- Translation

2011-12-01T10:35:00.001+05:30

Learn to translate a shape. Watch this video.

Video Transformations- Reflection along a mirror line

2011-12-01T10:31:00.001+05:30

Watch this video to learn how to reflect a shape in a given mirror line.

Video- Transformations- Reflection

2011-12-01T09:51:00.001+05:30

Watch this video to learn the concept of reflecting a geometrical shape along the y- axis and the x- axis. Observe carefully what happens to the signs of abscissa and ordinates in both the cases.

Exercise:
Draw any triangle in the II Quadrant and get its reflection along the y- axis as well as the x- axis. Write the coordinates of new triangles obtained. Write your observations.

Dated Magic Square

2011-11-14T11:01:00.001+05:30

How to make a Dated Magic Square?

1. In the firstrow, write down the date for which youwant to create the Magic square.

Rememberto split the year into two. I have taken the date as 13.11.2011.

2. Write any three consecutive numbers in the boxes as shown below.

3. Calculate the magic constant which is the sum of elements ofeach row, column, diagonal); by summing up the elements of first row. Magicconstant =13+11+20+11 = 55.

4. Now, calculate the element in row2, column 3 by subtracting the other 3elements of that sub-square by magic constant.

55 – (20+11+6) = 18.

5. Now, find the blank box of column 3 by subtracting the sum of otherelements from magic constant. 55-(20+18+4) = 13.

6. Follow the same way to complete the row 2, column 2 element from centralsub-square. 55-(18+13+5) =19

7. 2^nd row 1^st column will be 55 – (19 + 18 + 6) =12

4^throw 2^nd column will be 55 – (11 + 19 + 5) = 20

8. 4^throw 1^st column will be 55 – (11 + 18 + 5) = 21

4^th row 4^th column will be 55 – (13 + 19 + 13) =10

9. 3^rdrow 1^st column = 55 – (13 + 12 + 21) =9

3^rd row 4^th column = 55 – (11 + 6 + 10) = 28

Observe that when you add the numbers given in each row, each column or even diagonally, you get the same sum.

Find the error

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Find the error.

11 Great Mathematicians

2011-11-11T21:13:00.001+05:30

Today on 11.11.11, I thought of remembering the work of 11 great Mathematicians of the world.

Euclid

Archimedes

Carl Gauss

Euler

Pierre De Fermat

J.L Lagrange

Pythagoras

Ramanujan

Bhramagupta

Fibonacci

Bhaskaracharya

Find the error

2011-10-30T13:42:00.001+05:30

Application of Section formula

2011-10-26T14:02:00.000+05:30

In what ratio a point divides the join of two given points?
We use the section formula...
Watch this video!

Application of Section Formula

2011-10-25T13:56:00.000+05:30

Let us learn to find the points of trisection using the Section Formula.

Watch this video!

Area of triangle when coordinates of vertices are given

2011-10-24T13:50:00.000+05:30

Learn to find the area of a triangle when the coordinates of its vertices are given.

Watch this video!

Application of distance formula

2011-10-23T13:25:00.000+05:30

How will you show that the given four points are the coordinates of vertices of a rectangle?
Watch this video!

Mid point formula

2011-10-22T13:21:00.000+05:30

Watch this video

Section Formula

2011-10-21T10:32:00.002+05:30

Watch this video!

Distance formula

2011-10-20T11:40:00.002+05:30

Watch this video!

Exercise
1. Find the distance between P(3, 2) and Q(4, 3).
2. Find the distance between (a, b) and (a+b, a-b).
3. Which point is nearest to the origin, (2,3) or (-2,3)?

List of Maths activities FA3 Class 9

2011-10-17T13:14:00.000+05:30

Mathematics activities

• By paper cutting and pasting verify that "angle subtended by an arc at the centre of a circle is twice the angle subtended by it at any other point on the remaining part of the circle".

• By paper cutting and pasting verify that "angles in the same segment of a circle are equal.

• Explore the measure of angle in a semicircle, major segment and minor segment of a circle.

• Cyclic quadrilateral Theorem

Sum of first n terms of an A.P. (Problems)

2011-09-26T10:43:00.001+05:30

Problem 1 Find the sum of first 50 terms of 7, 3, -1, -5... Problem 2 If the sum of first 6 terms of an A.P. is 126 and its first term is 6, then find the 14th term.

Sum of n terms of an A.P. (when first and last term are given)

2011-09-25T11:03:00.000+05:30

Let us learn to derive a formula for finding the sum of n terms of an AP when the first term is given and the last term is also known. Consider the general AP a, a+d, a+2d, ...., (a+(n-1)d) Watch this video

Formula- sum of first n terms of an AP

2011-09-24T11:13:00.000+05:30

Let us learn to derive the formula for sum of first n terms of an A.P a, a+d, a+2d,..., a+(n-1)d. Watch this video

2011-09-23T11:20:00.000+05:30

Watch this video

Introduction A.P.

2011-09-22T22:36:00.001+05:30

Watch this video and learn about a special type of sequence called Arithmetic Progression.

Number Sequences

2011-09-22T22:15:00.000+05:30

First of all understand about number pattern..watch the following video Learn about number sequences...watch the following video

Questions for revision- Polynomials Class 9

2011-09-07T19:28:00.000+05:30

Questions for revision- Polynomials Class 9

(Visit the link and practice the given questions)

Writing firts 4 terms of AP when a and d are given

2011-09-06T11:53:00.000+05:30

When a is the first term and d is the common difference of an A.P. then how to write the terms of A.P.? Watch this video

Using formula for nth term of an AP

2011-09-04T11:45:00.000+05:30

The sum of 4th and 8th terms of an AP is 24 and the sum of 6th and 10th terms is 44. Find the first three terms of the A.P.

Deriving the nth term of an A.P.

2011-09-02T11:43:00.000+05:30

What is the General term of an A.P?

Making Icosahedron activity Class 9H

2011-08-26T15:14:00.011+05:30

Making Icosahedron activity Class 9F

2011-08-24T16:04:00.006+05:30

Introduction to Euclid's Geometry- Brainstorming

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Statement 1 Only one line can pass through a single point.

This statement is false. This is because passing through a single point; infinite number of lines can be drawn. Observe the following figure. Through the point L, many lines are passing.

Statement 2 There are an infinite number of lines which pass through two distinct points.

This statement is false. This is because through two distinct points, only one line can pass.

Try it!

Statement 3 A terminated line can be produced indefinitely on both the sides.

This statement is true. A terminated line can be produced indefinitely on both the sides.

Statement 4 If two circles are equal, then their radii are equal.This statement is true. Observe that in two equal circles, their centres as well as the outer boundary will coincide.

Statement 5 If AB = PQ and PQ = XY, then AB = XY.

This statement is true. Euclid’s first axiom states that things which are equal to the same thing are equal to one another. Therefore, the lines AB and XY will be equal to each other.

Making of Platonic Solids

2011-08-17T15:44:00.001+05:30

Nets of solids

Nets of Platonic solids -

Making Platonic Solids

Proofs of theorems- Class 9 for SA1

2011-08-16T08:25:00.001+05:30

Proofs of following theorems are to be done for the SA1 examination

Chapter Lines and angles
• If two lines intersect, the vertically opposite angles are equal
• The sum of the angles of a triangle is 180 degrees
Chapter Triangles
• ASA criterion of congruency
• The angles opposite to equal sides of a triangle are equal

Sample paper Class 10 SA1 Mathematics 2011-12

2011-08-13T23:31:00.000+05:30

SQP_MA_X_I

Sampe Paper Class 9 SA1 Mathematics (2011-2012)

2011-08-13T22:36:00.004+05:30

Dear students,
Download this paper and prcatice it for the coming SA1 Examination.
Please note that the paper will be of 90 marks and 3 hours duration.

Sample paper class 9 SA1

Quiz on types of triangles

2011-07-29T06:18:00.001+05:30

Dear students, test your knowledge about types of triangles by taking this quiz.

Types of Triangles

Class 9J- Making of an icosahedron activity

2011-07-21T19:00:00.011+05:30

Today, the students of class 9J,created 3D model of an icosahedron using paper cups. There were total 25 students. They were divided into group of 5 students each. Each group brought 140 paper cups and staplers (along with lots of pins). Firstly, each group was supposed to make 20 flower like pattern. For making one flower pattern, it was required to put one cup in the centre surrounded by 6 more cups. All the groups started working together with enthusiasm. Then, I asked them to send one student from each group to me, for the explanation of the second step, which was to make 2 hats using 5 flower patterns. The group leaders joined their groups and accepted this task as a challenge. Finally, I demonstrated the last step to all of them together, which was to make a zig zag chain using 10 flower patterns. Hmmm,this was the most exciting one. All the students worked together in their group and managed to make the model.

Basic Paper folding activities- Class 8

2011-07-19T22:00:00.004+05:30

In class 8E we did the following basic paper folding activities:

1. Getting a line segment : Take a rectangular sheet of paper. Fold the paper in anyway. Unfold, observe the crease. On the crease draw a line segment AB = 4cm.

2. Getting the mid point of a line segment

Mid point: A point on the line segment which divides the line segment into two equal parts.

Hint: Get a line segment AB by folding a paper in anyway and drawing AB on the crease. Fold the paper in such a way that point A falls on the point B completely.

3. Getting a perpendicular bisector

Hint: Extend the crease of mid point by pressing the paper.

4. Getting an angle bisector

Holiday Homework Assignments (Class 9)

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HHW Assignements

Home Assignment 2 - Number Systems Class 9

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Assignment Number Systems Class 9

#2 Visual Proof of Pythagoras theorem

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#1 Visual proof of Pythagoras theorem

2011-04-25T13:59:00.001+05:30

Video Rationalising the binomial denominator

2011-04-22T20:38:00.001+05:30

Learn to rationalise the denominator...
Watch this video

Video Rationalising the denominator

2011-04-22T20:33:00.001+05:30

Learn how to rationalise the denominator...
Watch this video.

Rational numbers

2011-04-20T09:03:00.003+05:30

Is 0 a rational number?
Yes, 0 is a rational number as it cane be expressed as 0/1, which is of the form p/q, q not equal to 0 and p & q are real numbers.

Is square root of 4 a rational number?
Yes, square root of 4 is equal to 2 and 2 can be written as 2/1, which is of the form p/q, q not equal to 0 and p & q are real numbers.

Hippasus of Metapontum

2011-04-19T11:36:00.003+05:30

Hippasus of Metapontum

Hippasus of Metapontum b. c. 500 B.C. in Magna Graecia, was a Greek philosopher. He was a disciple of Pythagoras. To Hippasus (or Hippasos) is attributed the discovery of the existence of irrational numbers. More specifically, he is credited with the discovery that the square root of 2 is irrational.

Until Hippasus' discovery, the Pythagoreans preached that all numbers could be expressed as the ratio of integers. Despite the validity of his discovery, the Pythagoreans initially treated it as a kind of religious heresy and they either exiled or murdered Hippasus. Legend has it that the discovery was made at sea and that Hippasus' fellow Pythagoreans threw him overboard.

Representing an irrational number on a number line Part(2)

2011-04-18T18:02:00.003+05:30

Observe the given figure and write the procedure of representing √5 on the number line.

Representing an irrational number on a number line (Part 1)

2011-04-18T17:42:00.006+05:30

Learn how to represent √2 on a number line.
1. First of all draw the number line.
2. Mark point A at "0" and B at "1". This means AB = 1 Unit.
3. Now, at B, draw BX perpendicular to AB.
4. Cut off BC = 1 Unit.
5. Join AC.
6. By Pythagoras theorem in right triangle ABC, we get AC = √2 Units.
7. Now, with radius AC and centre A, mark a point on the number line.
Let the marked point is M. M represents √2 on the number line.

Fact Sheet Real Numbers

2011-04-15T20:05:00.000+05:30

Remember the following facts

1. Euclid’sdivision lemma:

Given positive integers a and b, thereexist whole numbers q and r satisfying

a = bq+ r, 0 ≤r < b.

2. TheFundamental Theorem of Arithmetic:

Every composite number can be expressed as a product ofprimes, and this

factorisation is unique, apart from the order in whichthe prime factors occur.

3. If pis a prime and p divides a², then p dividesa, where a is a positive integer.

4. Let xbe a rational number whose decimal expansion terminates. Then we canexpress x in the form p/q, where p and q are co-prime,and the prime factorisation of q is of the form2ⁿ5^m,where n, m are non-negative integers.

5. Let x= p/q be a rational number, such that the prime factorisationof q is of the form 2ⁿ5^m, where n,m are non-negative integers. Then x has a decimal expansion whichterminates.

6. Let x= p/q be a rational number, such that the prime factorisationof q is not of the form 2ⁿ 5^m, wheren, m are non-negative integers. Then x has a decimalexpansion which is non-terminating repeating (recurring).

Assignment- Am I right?

2011-04-14T22:16:00.008+05:30

Read the following statements and state True or False. Justify your answer with an example.
1.There are exactly 2 integers between 3 and 6.
2.There are exactly 2 natural numbers between 3 and 6.
3.There can be infinite natural numbers between two natural numbers.
4.There are exactly 2 rational numbers between 6 and 9.
5.There is one whole number which is not a natural number.
6.All natural numbers, whole numbers and integers are rational numbers.
7.A real number is either rational or irrational.
8.We cannot plot irrational numbers on a number line.

Euclid's Division Algorithm- Jug filling Problem

2011-04-14T10:19:00.007+05:30

Watch this video and write your observations

Video- How to find HCF using Euclid's division Algorithm?

2011-04-13T15:55:00.003+05:30

Video-Euclid's Division Algorithm

2011-04-13T15:51:00.002+05:30

Video-The Euclidean Algorithm

2011-04-13T15:47:00.002+05:30

Video- Euclid's Division Lemma

2011-04-13T15:34:00.004+05:30

Euclid's Division Lemma

2011-04-13T15:06:00.000+05:30

Video- Rational and Irrational numbers

2011-04-07T07:14:00.002+05:30

Watch this video and recapitulate the concept of rational and irrational numbers. After watching this video make a list of 20 rational numbers and 20 irrational numbers in your notebook.

Density of Rational Numbers

2011-04-06T09:23:00.004+05:30

What is a rational number?
A number which can be expressed in the form p/q, q not equal to zero, p and q both are integers is called a rational number. Examples: 2/3, -3/2, 5/7 etc.
All integers, natural numbers and whole numbers can also be expressed as a rational number.
An interesting thing to note about rational numbers is, that between any two rational numbers we can insert a rational number. Isn't it amazing?
This means, between any two rational numbers there exist infinite number of rational numbers.
Let us learn a method to insert a rational number between two given rational numbers. Consider two rational numbers say a and b. Can you find the middle most number between a and b? Yes, you are right. If you find the average of these two numbers, this will give you the middle most number say (c). This means, if I repeat the process, then I can find a number between a and c as well as a number between b and c. That's really interesting. So, keep on finding as many numbers between a and b using this method. In general, we say if a and b are two rational numbers then (a+b)/2 is a rational number between a and b.
Exercise:
1. Find two rational numbers between 1/2 and 1/3.
2. Find six rational numbers between 1/6 and 1/7.

We know that the decimal representation of a rational number is either terminating or non terminating and repeating.

Insert 5 rational numbers between 1.2 and 1.3

How will you do this?

Let a = 1.2 and b = 1.3

We can write them as a = 1.20 and b= 1.30
So, 5 rational numbers between 1.2 and 1.3 will be
1.21, 1.22, 1.23, 1.24 and 1.25
Now, insert 5 rational numbers between 1.20 and 1.21
How will you do this?

Video Density of Rational Numbers

2011-04-06T07:36:00.001+05:30

Watch this video and recapitulate the concept of inserting rational numbers between two rational numbers.

Real number system-Types of numbers

2011-04-03T15:53:00.005+05:30

Basic Concepts

Natural numbers- Counting numbers 1,2,3,4.....

Whole numbers- Numbers 0,1,2,3,4......

Integers- Numbers .............. -3,-2, -1, 0, 1, 2, 3, ............

Rational numbers- Numbers which can be expressed in the form p/q, q not equal to zero, p and q both are integers

Irrational numbers- Numbers which cannot be expressed in the form p/q, q not equal to zero, p and q both are integers

Observe the relation between various types of numbers in the diagram given above.

Important observations:

Rational numbers and Irrational numbers together forms a collection of Real numbers.

All natural numbers are rational numbers but not vice versa.

All whole numbers are rational numbers but not vice versa.

All integers are rational numbers but not vice versa.

Excercise:

Give examples to justify the above observations.

Syllabus Class 10 Mathematics 2011-12

2011-04-02T19:09:00.001+05:30

Dear students,
Please note the term wise syllabus of class 10 Mathematics 2011-12.

Syllabus Class 10 Mathematics 2011-12 -

Syllabus Class 9 Mathematics 2011-12

2011-04-02T18:48:00.003+05:30

Dear students,
Please note down the syllabus for both the terms.

Syllabus Class 9 Mathematics 2011-12

Sample Paper for SA1 Class 10 Mathematics 2011-12

2011-03-30T17:47:00.001+05:30

SQP_MA_X_I -

Sample Paper for SA1 Class 9 Maths 2011-12

2011-03-29T17:35:00.001+05:30

<Sample paper class 9 SA1

Blue Print SA1 Class 10 Mathematics 2011-12

2011-03-28T05:32:00.000+05:30

Blue Print SA1 Class 9 2011-12

2011-03-28T05:29:00.000+05:30

New Session 2011-12

2011-03-27T16:57:00.007+05:30

Dear Students,
Welcome to the new session 2011-12.
Please note the following and share with your parents also.
1. There will be two terms: Term 1 from April, 2011 to September, 2011 and Term 2 from October,2011 to March, 2012
2. In each term there will be three assessments: two formative assessments and one summative assessment.
3. Pls note down the durations of these assessments: Formative assessment 1(FA1) - (April- May) Formative assessment 2 (FA2) - (July- August) Summative assessment 1 (SA1) - (September) Formative assessment 3(FA3) - (October- December) Formative assessment 4 (FA4) - (January- February) Summative assessment 2 (SA2) - (March)
4. In every FA duration there will be an assessment of 40 marks which will include a variety of activities. Your score out of 40 will be computed out of 10 at the end of each FA.
5. Please be particular about your performance and work. Do not hesitate in asking questions.
6. In case of any query write to me at mathclass_khms@yahoo.co.in
Best Wishes, Your Maths Teacher

Happy Holi

2011-03-19T19:42:00.000+05:30

Best of Luck

2011-03-15T19:47:00.001+05:30

Give you best... Leave the rest

Conversion of Units

2011-02-09T15:47:00.007+05:30

Remember 1 kilometer = 1000 meters 1 meter = 100 centimeters 1 centimeter = 10 millimeters 1 Litre = 1000 milliliters 1 Kilogram = 1000 grams 1 gram = 1000 milligrams 1 yard = 3 feet 1 foot = 12 inches 1 mile = 1760 yards 1 mile = 5280 feet 1 gallon = 4 quarts 1 gallon = 128 ounces 1 quart = 2 pints 1 pint = 2 cups 1 cup = 8 ounces 1 ton = 2000 pounds 1 pound = 16 ounces 1 cm³ = 1 mL 1000 L = 1 m³ 1 ha = 10 000 m² 1 km² = 100 ha Quick metric Converter

Mean Median Mode Range of ungrouped data

2011-01-16T07:49:00.003+05:30

Watch this video to learn how to calculate mean, median, mode and range of given ungrouped data.

Making a Histogram- Example

2011-01-15T19:22:00.004+05:30

Example Videos: About Histogram

Example

Creating a frequency distribution table

2011-01-14T19:42:00.003+05:30

Video Watch: Example:

Happy New Year 2011

2010-12-31T19:02:00.004+05:30

Let us all welcome the new year 2011.

Wish you all a very Happy New Year!

Do you know 2011 is a Prime number. Let us make a pledge to work sincerely towards a good cause. Choose your cause and start working.

God bless You.

Mathittude test- Set B

2010-12-22T15:43:00.001+05:30

Today, in our school on the occasion of Ramanujan's Day, we conducted this test for students of classes 9 and 10.

Mathittude test -Set B

Mathittude test- Set A

2010-12-22T15:39:00.002+05:30

Today on the occasion of Ramanujan's Day, we conducted this test for students of classes 9 and 10 in our school.

Mathittude test

Special quadrilateral- Kite

2010-12-21T08:51:00.004+05:30

Task:

Name this geometrical shape.
Explore the relation between its sides.
Explore the relation between its diagonals. Are the two diagonals perpendicular to each other? Do they bisect each other also?
Draw this shape in your notebook and write the properties.

Useful Link http://www.mathopenref.com/kite.html

Areas of parallelograms and triangles- Theorem

2010-12-07T14:10:00.004+05:30

Theorem: Triangles having the same base and equal areas lie between the same parallels.

Given: ∆PQR and ∆SQR such that ar (∆PQR) = ar (∆SQR).

Construction: Draw PL and SM perpendicular to QR

To prove: PS//QR

(Length of perpendiculars between two parallel lines is equal)
Hence, PS// QR

Recall task- Areas of parallelograms and triangles

2010-12-04T12:30:00.002+05:30

Triangles on the same base and between same parallels are equal in area.

Parallelograms on the same base and between same parallel are equal in area.

If a traingle and a parallelogram are on the same base and between same parallels then area of triangle is half the area of parallelogram.

Types of quadrilaterals- Mind map task- Class 9

2010-11-12T13:11:00.002+05:30

Follow link Maths is Fun and read more about quadrilaterals.

Prepare a mind map on special types of quadrilaterals and their properties.

Math Quote

2010-11-11T13:20:00.000+05:30

"A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator the smaller the fraction."

Tolstoy, Count Lev Nikolgevich (1828-1920)

Joining mid points of sides of quadrilaterals- Project

2010-11-10T13:24:00.001+05:30

Take a quadrilateral cut out.
By paper folding get mid points of sides.
Form creases joining the mid points of sides in order.
Which shape is obtained?

Repeat the task by taking two more quadrilateral cut outs.
What do you conclude?

Now, take special quadrilaterals:
Square
Rectangle
Parallelogram
Rhombus
Kite
Trapezium

Do the same task. Note your observations.
Make a file and present your information.

Video- Piano stairs "Use stairs to be healthy"

2010-11-02T19:57:00.003+05:30

Watch this video!

MCQ Part I (linear equations in two variables)

2010-10-28T00:17:00.002+05:30

1. The graph of equation y-x = 0 passes through:
• 1st quadrant and 3rd quadrant
• 1st quadrant and 2nd quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

2. The graph of equation x = 3 passes through:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

3. The graph of equation y = 2x passes though:
• 1st quadrant and 3rd quadrant
• 1st quadrant and 2nd quadrant
• 2nd quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

4. The graph of equation –y = x passes though:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

5. The graph of equation y + 2x = 0 passes through:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

6. The graph of equation x – 2y = 0 passes through:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

7. The graph of equation 3x + 2y = 7 passes through:
• 1st quadrant, 2nd quadrant and 3rd quadrant
• 1st quadrant, 2nd quadrant and 4th quadrant
• 1st quadrant, 3rd quadrant and 4th quadrant
• 2nd quadrant, 3rd quadrant and 4th quadrant

Finding angle

2010-10-13T13:56:00.004+05:30

Q An angle is more than its complementary. Then the measure of the angle is

a)

b)

c)

d)

Most of students have answered a). This is not correct.

Please note the solution.

Let the angle be x, then its complement will be 90 -x.
Now, the angle is 14 degree more than the complement,
form an equaion

x = 90 - x + 14
2x = 104
x= 52

(You can orally check...52 is 14 more than (90-52 = 38))
So, the correct answer is d).

Degree of a constant polynomial

2010-10-13T13:44:00.006+05:30

Q The degree of a non-zero constant polynomial is

a) 1 b) -1 c) 0 d) -2

This question was there in SA1 paper for class 9.

Most of the students have selected option a). This answer is not correct.

Please note the degree of a constant polynomial is 0.

How do you write 7?

7 .

So, what is its degree?

It is 0.

So, the correct choice is c).

Next time, do not commit this error.

Sum of exterior angles of a polygon

2010-10-10T00:04:00.003+05:30

What is the sum of exterior angles of a polygon?

Yes you are right!
it is 360 degrees.

Activity- Talk about Math shapes

2010-10-06T12:54:00.006+05:30

Objective: To recognise geometrical shapes and write about them.

Description of activity:
Each student is required to write his/her observations on the following shapes.

Reflective questions:
What is the complete shape?
Write about its parts.
How many different shapes are used in each shape to make it?
Write the properties of used shapes.

Make a list of Math terms used in your description.

Shape 1

Shape2
Shape 3

Shape 4

Types of quadrilaterals

2010-09-29T14:40:00.002+05:30

A plane figure having four sides is a quadrilateral.

Watch this video

Ripples in water

2010-09-26T08:35:00.006+05:30

Have you ever thrown a pebble in a pond? Have you ever noticed the formation of ripples in water? Why ripples in water always go in concentric circles and not any other geometrical shape?

This is really interesting to note that when we drop a pebble in a pond, then momentum is transferred to all molecules of water around the stone to adjust the stone. The energy is to spread equally in all directions, hence concentric circles and not squares or a triangles.

Making icosahedron activity

2010-09-25T20:03:00.017+05:30

Students of class 10D made a model of icosahedron using paper plates. All of them did the work with enthusiasm and interest.

Planet Infinity...My K.H.M.S. Math Class

Circles Problem 4(Video)

Circles Problem 3(Video)

Circles Problem2 (Video)

Circles Problem 1(Video)

Sample paper for SA2 Class 9 Mathematics 2011-12

Sample paper for SA2 Class 10 Maths 2011-12

Activity Area of a parallelogram

Folding puzzle challenge!

Play Alfakodu

Ramanujan, a great Mathematician

2012, National Mathematics Year

Video Transformations- Rotation

Video Transformations- Translation

Video Transformations- Reflection along a mirror line

Video- Transformations- Reflection

Dated Magic Square

1. In the firstrow, write down the date for which youwant to create the Magic square.

4. Now, calculate the element in row2, column 3 by subtracting the other 3elements of that sub-square by magic constant.

55 – (20+11+6) = 18.

5. Now, find the blank box of column 3 by subtracting the sum of otherelements from magic constant. 55-(20+18+4) = 13.

6. Follow the same way to complete the row 2, column 2 element from centralsub-square. 55-(18+13+5) =19

7. 2nd row 1st column will be 55 – (19 + 18 + 6) =12

4throw 2nd column will be 55 – (11 + 19 + 5) = 20

4th row 4th column will be 55 – (13 + 19 + 13) =10

9. 3rdrow 1st column = 55 – (13 + 12 + 21) =9

3rd row 4th column = 55 – (11 + 6 + 10) = 28

Find the error

11 Great Mathematicians

Find the error

Application of Section formula

Application of Section Formula

Area of triangle when coordinates of vertices are given

Application of distance formula

Mid point formula

Section Formula

Distance formula

List of Maths activities FA3 Class 9

Sum of first n terms of an A.P. (Problems)

Sum of n terms of an A.P. (when first and last term are given)

Formula- sum of first n terms of an AP

Introduction A.P.

Number Sequences

Questions for revision- Polynomials Class 9

Writing firts 4 terms of AP when a and d are given

Using formula for nth term of an AP

Deriving the nth term of an A.P.

Making Icosahedron activity Class 9H

Making Icosahedron activity Class 9F

Introduction to Euclid's Geometry- Brainstorming

Making of Platonic Solids

Proofs of theorems- Class 9 for SA1

Sample paper Class 10 SA1 Mathematics 2011-12

Sampe Paper Class 9 SA1 Mathematics (2011-2012)

Quiz on types of triangles

Class 9J- Making of an icosahedron activity

Basic Paper folding activities- Class 8

Holiday Homework Assignments (Class 9)

Home Assignment 2 - Number Systems Class 9

#2 Visual Proof of Pythagoras theorem

#1 Visual proof of Pythagoras theorem

Video Rationalising the binomial denominator

Video Rationalising the denominator

Rational numbers

Hippasus of Metapontum

Representing an irrational number on a number line Part(2)

Representing an irrational number on a number line (Part 1)

Fact Sheet Real Numbers

Assignment- Am I right?

Euclid's Division Algorithm- Jug filling Problem

Video- How to find HCF using Euclid's division Algorithm?

Video-Euclid's Division Algorithm

Video-The Euclidean Algorithm

Video- Euclid's Division Lemma

Euclid's Division Lemma

Video- Rational and Irrational numbers

Density of Rational Numbers

Video Density of Rational Numbers

Real number system-Types of numbers

Syllabus Class 10 Mathematics 2011-12

7. 2^nd row 1^st column will be 55 – (19 + 18 + 6) =12

4^throw 2^nd column will be 55 – (11 + 19 + 5) = 20

4^th row 4^th column will be 55 – (13 + 19 + 13) =10

9. 3^rdrow 1^st column = 55 – (13 + 12 + 21) =9

3^rd row 4^th column = 55 – (11 + 6 + 10) = 28