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
Explore the beautiful world of Mathematics!!!. Let us learn together! Here you will find resources for Secondary level Mathematics according to C.B.S.E. Guidelines. Focus is on Mathematics learning through activities.
22 December, 2010
Mathittude test Set A
Today on the occasion of Ramanujan's Day, we conducted this test for students of classes 9 and 10 in our school.
Mathittude test
Mathittude test
21 December, 2010
Special quadrilateral Kite
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
07 December, 2010
Areas of parallelograms and triangles Theorem
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
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
04 December, 2010
Recall task Areas of parallelograms and triangles
12 November, 2010
Types of quadrilaterals Mind map task Class 9
Follow link Maths is Fun and read more about quadrilaterals.
Prepare a mind map on special types of quadrilaterals and their properties.
Prepare a mind map on special types of quadrilaterals and their properties.
11 November, 2010
Math Quote
"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 (18281920)
Tolstoy, Count Lev Nikolgevich (18281920)
10 November, 2010
Joining mid points of sides of quadrilaterals Project
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.
02 November, 2010
13 October, 2010
Finding angle
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 (9052 = 38))
So, the correct answer is d).
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 (9052 = 38))
So, the correct answer is d).
Degree of a constant polynomial
Q The degree of a nonzero 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.
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.
10 October, 2010
06 October, 2010
Activity Talk about Math shapes
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
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
29 September, 2010
26 September, 2010
Ripples in water
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.
25 September, 2010
17 September, 2010
05 September, 2010
01 September, 2010
Fact sheet Circles
1. Equal chords of a circle (or of congruent circles) subtend equal angles at the center.
2. If the angles subtended by the chords of a circle (or congruent circles) at the center (or centers) are equal, then the chords are equal.
3. The perpendicular drawn from the center of the circle to a chord bisects the chord.
4. The line drawn through the center of the circle bisecting the chord is perpendicular to the chord.
5. There is one and only one circle passing through three given noncollinear points.
6. Equal chords of a circle (or of congruent circles) are eqidistant from the center (or centers).
7. Chords equidistant from the center of a circle are equal in length.
8. If two chords of a circle are equal, thten their corresponding arcs are congruent and conversly, if two arcs are congruent, then their corresponding chords are equal.
9. Congruent arcs of a circle subtened equal angles at the center.
10. The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
11. Angles in the same segment of a circle are equal.
12. If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, then the four points are concylic.
13. The sum of either pair of opposite angles of a cyclic quadrilateral is 180 degrees.
14. If the sum of a pair of opposite angles of a quadrilateral is 180degrees, the quadrilateral is cyclic.
24 August, 2010
Triangle Inequality
Activity
Take broom sticks of different lengths.
(Say, 4cm, 7cm and 13cm)
Can you make a triangle using these sticks?
Now, try to find a relation between the largest side and the sum of the remaining two.
Repeat this by taking few more sets of broom sticks.
What do you notice?
Take broom sticks of different lengths.
(Say, 4cm, 7cm and 13cm)
Can you make a triangle using these sticks?
Now, try to find a relation between the largest side and the sum of the remaining two.
Repeat this by taking few more sets of broom sticks.
What do you notice?
Based on your observations, write a conjecture about the relationship between the sum of the measures of the two sides of a triangle and the measure of the largest side of the triangle. Provide a reason for your conjecture.
Thinking questions?
Two sides of a triangle are 6 cm and 10 cm long. Determine a range of possible measures for the third side of the triangle.
Is it possible to have a triangle such that the sum of the measures of the two sides is equal to the measure of the largest side? Provide a convincing reason for your answer.
01 August, 2010
Parallel lines and transversal
Watch this video
Answer the following.
Q1 If the measure of angle 1 is 70 degrees, then find all other angles. Justify your answer.
Q2 If the measure of angle 3 is 120 degrees, then find all other angles. Justify your answer.
Answer the following.
Q1 If the measure of angle 1 is 70 degrees, then find all other angles. Justify your answer.
Q2 If the measure of angle 3 is 120 degrees, then find all other angles. Justify your answer.
28 July, 2010
26 July, 2010
Triangle with 3 sides always not possible...
Do you know why it is not always possible to draw a triangle with 3 given sides? Just watch this video...
05 July, 2010
Rubric for Math activity Assessment
Rubric for Recording Math lab activity Work
Lab Ethics (5)
(Parameters)
Brings material for activity
Takes interest in class
Regularly attend Math lab class
Takes care of property in Maths lab
Listens attentively during demonstration
Performance of Activity
(Scale 5 to 1)
Able to explain concept correctly after completion (5)
Or
Completes activity in the class independently (5)
Takes help and complete the task (4)
Works independently but not able to complete (3)
Tries to perform hands on in the lab (2)
Just initiate the task allotted (1)
File Record
(Parameters)
Index/Cover
Neatness
Submits work on time
Regularly brings file
Does correction work (if any)
Lab Ethics (5)
(Parameters)
Brings material for activity
Takes interest in class
Regularly attend Math lab class
Takes care of property in Maths lab
Listens attentively during demonstration
Performance of Activity
(Scale 5 to 1)
Able to explain concept correctly after completion (5)
Or
Completes activity in the class independently (5)
Takes help and complete the task (4)
Works independently but not able to complete (3)
Tries to perform hands on in the lab (2)
Just initiate the task allotted (1)
File Record
(Parameters)
Index/Cover
Neatness
Submits work on time
Regularly brings file
Does correction work (if any)
03 July, 2010
VideoVertically Opposite Angles
When two lines intersect, two pairs of vertically opposite angles are formed. WATCH THIS VIDEO! (Proof : Vertically opposite angles are equal)
20 June, 2010
Crossword Basic Geometrical Terms
Across 4. lines do not intersect 7. angle with measure more than 90 degrees and less than 180 degrees 8. a "dot" on a piece of paper 9. a twodimensional object that has no endpoints and continues 11. angle measuring 180 degrees 13. sum of two angles 180 degrees 14. triangle with all sides equal Down 1. sum of two angles 90 degrees 2. triangle with all unequal sides 3. angle with measure 90 degrees 5. angle with measure less than 90 degrees 6. points on the same line 10. triangle with two sides equal 12. two rays with common vertex
19 June, 2010
Poem on Geometry by Aishwarya Hans 10G
Geometry's fun, I've heard people say,
Learn the angles in a round about way.
Lay it on the line, draw it in the air.
You can prove any shape or measure it there.
Linear thoughts put our brains in gear.
Work with triangles now becomes clear.
It's so much fun since we have the rule.
My man, Pythagoras, was really cool.
No dude can eat a piece of this Pie.
And the graphs won't grow without axis y;.
A hypotenuse is a sight to see.
Oh! I love to learn this GEOMETRY!
Aishwarya Hans
Roll no 3
Class 10g
Geometrical designs by Purvi Bahri 10D
Designs made by Purvi Bahri 10D
My designs are influenced by Glass paintings. The designs are a mixture of Geometrical shapes painted with bright and dark hues which give them an artistic feeling.
I have been able to come up with these four designs after I mixed and collaborated the ideas I got from the net and mainly from my memory of the geometric glass paintings I saw in one of
my relative's house I once visited and my mother also helped me with the paintings.
My designs are influenced by Glass paintings. The designs are a mixture of Geometrical shapes painted with bright and dark hues which give them an artistic feeling.
I have been able to come up with these four designs after I mixed and collaborated the ideas I got from the net and mainly from my memory of the geometric glass paintings I saw in one of
my relative's house I once visited and my mother also helped me with the paintings.
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