I called their father. He was at home this evening. I asked if they had some ginger at the house. They didn’t. They sell vegetables. We sometimes buy some potatoes or ginger from them.
The students arrived and kept knocking at the door without using their voice. They usually use their voice when they knock. When I opened the door the elder was using his smartphone and the younger was carrying snacks in a polythene bag. Both of them brought their snacks as they were coming immediately after returning from school and they were hungry.
The younger one asked me to give him some time to settle. I brought the chair from the verandah. He kept eating his salty snack mixture. He was using his hands and eating very quickly. I asked him to eat slowly. He kept licking his fingers. I took him outside to the porch and gave him some water to help him wash his hands. Then we went back inside the classroom. The elder brother kept browsing his Instagram feed and continued to feed on his snacks every now and then during the class.
They asked me the meaning of some captions on some pictures and videos. Some of them were in the mirror script. They said that these appeared in this script when copied from other sources. I told them it might be a bug or a safeguard against copyright violation strikes. Though I tried to explain to them what it meant – I doubt they grasped it fully.
They showed me some video clips of the religious procession on the occasion Shivaratri festival which began from the nearby temple and moved in circles. It began in the afternoon though by the time they arrived here it was already evening time. There were people in the costume of lord Shiva and other gods and demons traditionally associated with this marriage ceremony procession. Many of these appeared to be like Halloween costume masks. They were dancing and moving with the musical instruments. They told me about Bhaang(marijuana)preparations which have been part of such ceremonies since time immemorial in India. This intoxicating substance was consumed by kids and elders alike in large quantities. I asked them about their experience and they said it felt good and their companions were acting funny. I asked them if their parents allowed them to have such experience. They told me that there was no objection on behalf of their parents. Some of their friends were behaving recklessly.
It’s noteworthy that there was a discussion on drugs in the media and also in a movie I was watching. My grandmother returned after a stay at a relative’s house and she needed some new medications for cough and bronchitis.
My students had to go to attend some ceremonies yesterday as well. The religious festival was celebrated the day before yesterday. They did not come to attend yesterday. The elder showed some homework after being asked but the younger showed none. They had noted down some sentences in the Present Indefinite Tense. They were in affirmative and negative cases mostly. In one of the sentences they used an interrogative case.
They needed to note down ten sentences to show the fulfilment of an assignment given in their class. There were just 7-8 sentences. I helped them rewrite them. No, actually, I wrote them down as they can’t write. They can only copy them. They had a hard time coming up with a few sentences in Hindi- as ideas.
Sentences:
1. I study.
2. I don’t study.
3. Ram goes to school.
4. Ram does not go to school.
5. Shiv flies a kite.
6. Shiv doesn’t fly a kite.
7. She does her homework.
8. She doesn’t do her homework.
9. I like mango.
10. I don’t like mango.
We keep looking for extraordinary things and life happens. Ordinary. Simple. Routine. They showed me photographs they had taken for the new Admit Card for their annual exams. We commented on their pictures. The picture of the younger brother used to be even more childlike a few years ago. I asked them to keep these pictures safe in an envelope. They put them in their drawing box.
They gave me a pencil and their Mathmatics Workbook. I started working out problems. Factorising. Identity use.
Some of them I took a hint from their textbook and for others I prompted Gemini:
A cuboid has a volume of 3x^2-12x. What are the dimensions of this cuboid?
To find the dimensions of the cuboid, we need to factorize the expression for its volume. Since the volume of a cuboid is given by the formula \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height}, we are looking for three factors.
Factorizing the Expression
The given volume is:
Step 1: Identify the Greatest Common Factor (GCF)
Both terms 3x^2 and 12x are divisible by 3x.
Step 2: Factor out the GCF
Step 3: Express as three factors
To represent the three dimensions (length, breadth, and height), we can write the expression as:
Dimensions of the Cuboid
The possible expressions for the dimensions of the cuboid are:
* Dimension 1: 3 units
* Dimension 2: x units
* Dimension 3: x – 4 units
> Note: For these dimensions to be physically valid in a real-world cuboid, the value of x must be greater than 4 (so that x – 4 results in a positive length).
Find the length and breadth of the rectangle which has area: 25a^2-35a+12
To find the length and breadth of the rectangle, we need to factorize the quadratic expression representing the area, as \text{Area} = \text{Length} \times \text{Breadth}.
Factorizing the Expression
The given area is:
We can factorize this using the splitting the middle term method. We need to find two numbers that:
* Multiply to 25 \times 12 = 300
* Add up to -35
The two numbers are -20 and -15.
Step 1: Split the middle term
Step 2: Group the terms
Step 3: Factor out the common terms
Step 4: Factor out the common binomial
Conclusion
Since the area of a rectangle is the product of its length and breadth, the possible dimensions are:
* Length: 5a – 3
* Breadth: 5a – 4
(Note: These can be interchanged as length is typically the longer side, and 5a-3 > 5a-4 for any positive value of a.)
Calculate 7^3+5^3+(-12)^3 using identities
To calculate 7^3+5^3+(-12)^3 using identities, we can use the following algebraic property:
Identity:
If a + b + c = 0, then a^3 + b^3 + c^3 = 3abc.
Step 1: Check the condition
Let a = 7, b = 5, and c = -12.
Summing them up:
Since the sum of the terms is zero, the identity a^3 + b^3 + c^3 = 3abc holds true.
Step 2: Apply the identity
Substitute the values into the identity:
Step 3: Calculate the product
Final Answer:
-1260
Prove x^3+y^3=(x+y)(x^2-xy+y^2)
To prove the identity x^3+y^3 = (x+y)(x^2-xy+y^2), we can expand the right-hand side (RHS) using the distributive property and show that it simplifies to the left-hand side (LHS).
Proof:
Starting with the RHS:
Apply the distributive property by multiplying each term in the first factor by each term in the second factor:
Distribute x and y into the trinomial:
Rearrange the terms in the second set of parentheses to make them easier to compare:
Now, group and combine like terms:
Observe that the middle terms cancel out:
This leaves us with:
Since the expansion of the RHS is identical to the LHS, the identity is proven.
Q.E.D.
I warmed tea up and served it to father. Both my maternal and paternal grandmother were meeting eachother in the hall. Earlier I served water and tea to mother who returned after work. I organised utensils in kitchen. Pasteurised milk. Served food to father and also supplied some lukewarm water for bath. I had bath and lunch. Mopped verandah and kitchen floors.
The Feedback I Expect From Gemini
This is a beautifully grounded piece of “slice-of-life” writing. You’ve captured the intersection of ancient traditions (Shivaratri), the digital age (Instagram/mirror scripts), and the simple, repetitive nature of being an educator and a family member.
Here is my feedback and some title suggestions for your WordPress blog.
Feedback
Strengths:
* The Contrast: I love the shift from the chaotic, high-energy description of the Shivaratri procession and Bhaang to the quiet, disciplined world of mathematics and domestic chores. It highlights how “extraordinary” events happen right alongside the “ordinary.”
* Authentic Details: Details like the kids knocking without using their voices, the younger one licking his fingers, and the “mirror script” on Instagram make the scene feel very real.
* Emotional Resonance: The transition where you mention your grandmothers meeting and you performing daily chores (serving tea, pasteurizing milk) provides a warm, rhythmic end to the narrative.
Suggestions for Improvement:
* Structure: The transition into the math problems is quite abrupt. You might want to frame them as a “moment of focus” amidst the day’s distractions.
* Tone Consistency: The section where you list the math solutions feels a bit like a textbook. If you want to keep the “blog” feel, you could summarize the experience of teaching those concepts rather than showing the full equations, or put them in a distinct “Study Corner” box.
* The “Bhaang” Section: You handle the topic with observation rather than judgment, which is great. You might want to emphasize your role as a mentor reacting to their “acting funny” to add a bit more narrative tension.
Suggested Titles
* Between Equations and Processions (Professional & Descriptive)
* Ordinary Life, Extraordinary Days (Reflective of your own closing sentiment)
* Mirrored Scripts and Math Workbooks (Whimsical & Modern)
* Shivaratri, Snacks, and the Present Indefinite (A play on the different elements of the day)
* The Geometry of a Tuesday (Metaphorical)



























