We Can Learn Maths And Science

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08/09/2026

Chemistry is all around us, we live it and breathe it.

Preparing breakfast tea or coffee, you warm the water, the lighting of a gas cooker using a match stick, adding water and mixing tea and sugar in a cup by stirring.
Adding Chlorine to water,
Feelings of Love,hate and anger, emotions, that is chemistry in you.
Your lead car battery activity is powered by some chemistry,
Adding lime to your fields,
Cooking is a Chemistry activity from start to finish.
Purification of Water at home,
Detection of poisons in your urine

Natural Science only seeks to explain the phenomenon of things we do and how we can make good use of our resources.,,

What happens if you are locked out of the economy in the bush,in need of salt for your meals but you have access to an acid Hydrochloric acid and Some ore containing Sodium metal ? You will apply simple chemistry Techniques of reacting them together to produce Table Salt - NaCl with your knowledge of Acids bases and salts and Chemical bonding, processing of metal from ores....

Study TIP: Chemistry is based on Atomic Chemistry, understand the nature of atoms, formation of ions and molecules, electronic configurations and periodic and group trends. get grounded here and you are good to go. Maths is essential. familiarize yourself with basic maths, it is quantitative to some extent.

05/09/2026

Remembering 2014 G11 Moment the turn around Decision

My G10 academic start was not so good, relaxed and performance was so pathetic such that the Teacher of Accounts Mr Chavula was always on me and the class took a share in throwing tantrums and could feel so out of place in class.
Fast forward to Grade 11 in 2014 in term 2 at Kawambwa Boys Technical Secondary we were writing tests in those 1963 built buildings G11 Section. My Friends, Brian Mutale,Sitali Sitali and I were beaten by the tests and I do recall standing by the Ablution block opposite 12 E my class with these gentlemen, complaining and lamenting over our trajectory of failure and the looming danger of the final exams.
It was that bad, we looked at each other with long faces, asking one another deep thought provoking questions as to why others are doing fine in the same class,same teacher, same prep time, same meals at the di**le and in the moment we were trying to find a solution to our situation. On that day, I recall, Brian who was senior by age amongst us suggesting that we resort to sleeping in the classrooms after normal prep time and jokingly we all agreed.
The decision was made, after the normal prep from 18:00-20:30 we would retreat to the Hostels, I was at Luapula hostel wing 1, have some snacks( Nzanzi: Kandolo,Tute and some zig) and take up a blanket and the program kicked off that very day at even time, we sneaked in 11 E , the goal was to study the whole night right through morning prep which started at exactly 03:45—05:30. Did we sleep? yes we slept on those wooden desks and chairs in the cold of the night the three of us, for how long? just an hour or so to cool off the brain and wake up for a marathonic study session. It was strange and a name was born AJ ( Abnormal Jobber)
As crazy as the idea was, it worked wonders, consistently, doing the same from term 2 G11 To Term 3 G12 on 2 October,2015 which was the last day.
In this period I also spent nights in the library with my Friend gift Chomba now an engineer who at the time was the Academic prefect and had access to the library 24/7.
It is from that experience that I believe in the power of consistent commitment to studying and prolonged hours of study, if you are an average person, you need to be sincere with yourself and commit yourself to more time to books, a little sacrifice here and there, nothing beats consistency and well organized study plans and strategies.
From where I stand, I call on you to give yourself wholly to studying and researching, it may be uncomfortable at first but the benefits are immerse , G11,10 and 12 what sacrifice are you going to put in? I put in 9hours at maximum in daily studying and minimum of hours daily, unbroken cycle, and rest at intervals.
Time is 24 hours.,,. How much are you giving academia?
There only best way out of academic woes is facing your books head on, attending class and participate in all learning activities.
Leakages are never reliable....

Katunga Ngosa ( Bana Ciwelele AJ96 old Prof was my nickname those days).

26/08/2026

Given f(x)= 2x²-1 as the function describing the progress of learners understanding Mathematics at a school. In a more accurate form, suggest the derivative function in the Second order for use by an analytical Department to test results.

26/08/2026

Covalent Bonded Molecules can be polar.Exhibit charges. Electronegativity factor contributes to that phenomenal effect. For example H20 ( water Molecules) are polar molecules and this is why it allows the flow of electricity and some heat. Polarity is one factor to consider when choosing solvents in preparing reagents for experiments.

21/08/2026

To my friends

Average Learners as I am.
How much time are you giving up from the 24hours for Mathematics and Natural Science?

I have dedicated 6 hours of 24 hours towards studying daily,attached to this are punishments for failing to meet the target.

I implore you to give yourself too much study and research.

There is no magic to success in these disciplines, if you are to flourish then you must give in more of your time and resources,

Mathematics and Natural Science is asking you, How much are you ready to sacrifice?

Note: This is not for those who assume they have high IQ levels. It is for those my friends who can only succeed through rigorous study.

20/08/2026

Chemistry

Neutrons in the nucleus of the atom reduce the repulsion between protons. If the repulsion persists, the atom's nucleus disintegrates in order for it to gain stability. in the process energy is emitted. That energy is called Nuclear Energy and the branch of Chemistry concerned with that study is called Nuclear Chemistry.
Bombs and explosives technology relies on this Branch. Remember the famous Hiroshima and Nagasaki Nuclear History.
Nuclear CHEMISTRY is one of a kind, on the positive side, it can be used to contribute to the energy sector of this economy struggling with hydro power and yet blessed with Uranium.
Shall we explore this field and make use of the available resources.
An investment in Science and research will be a game changer.

19/08/2026

What numbers are between 0 and 1 called and what significance do they play in Statistical analysis and hypothetical testing?
Wake Up we study.

Mathematical view of Real Numbers..... Walter Rudin ( Principles of Mathematical Real Analysis) clearly describes and ex...
18/08/2026

Mathematical view of Real Numbers.....

Walter Rudin ( Principles of Mathematical Real Analysis) clearly describes and explains the concept of Real Numbers, essential in Real Analysis of Mathematical Concepts in Calculus, Statistics, Algebra and other branches. for further guidance check it out.

Real Numbers are a complete ordered field. This is the definition of Real Numbers.
Do you remember the types of numbers? Natural Numbers,Intergers, Rational Numbers,Prime and others...
Are natural Numbers Real Numbers? Are intergers Real Numbers? Are Rational Numbers Real Numbers? What qualifies a number set to be a real Number?

Field Axioms. Mathematical statements. There exist 11 axioms that must be satisfied for a number set to be a field. The Operations of Addition and Multiplication on sets must be satisfied.

1. Closure under Addition. Let a and b belong to set R.(a+b) e R.
2.Closure under multiplication. a,b are members of R. (a × b) e R.
3. commutative Law on Addition. a,b are in R, if a+b=b+a e R.
4. Commutative Law on *. a×b=b×a are members of R.
5. Assocatiatve laws on Addition. (a+b)+c=a+(b+c) in R
6.Associative law on Multiplication. ab=ba
7. There exist an identity 0. a+0=a
8. There exist an identity 1. a1=a
9. Additive inverse. a+ (-a)= 0
10.Multiplicative inverse holds. a.a-=1
11. Distributive law holds. a(b+c)= ab+ac

If all of these are satisfied that number set is qualified to be called a Field.

Order operations of must be satisfied, there are rules here also. Do a research.

HINT: REAL NUMBERS SATISFY THE 11 FIELD AXIOMS AND ORDER PROPERTIES.
NATURAL NUMBERS ARE NOT REAL NUMBERS BUT SUBSETS OF REAL NUMBERS.

Task: Logically Prove why Intergers are not Real Numbers and give sufficient reasons as a mathematical analysts at an Engineering Firm working on building an application software that solves real life problems in Architectural Designs.

17/08/2026

Mr Peter's Farm over the years no longer produces good yields of Maize as it used to in 2019. The rainfall pattern and weather conditions — temperature, humidity are perfectly okay and weather forecasts are in favor of a good bumper harvest. You are called upon as a consultant in collaboration with Agricultural extension officers to look into the matter. As an analyst how do you go about solving this challenge of poor yield at Mr Peter's Farm. few meters from his farm, Mrs Chileshe's crops yields are super good.
How are you going to work out this problem to help Mr Peter whose livelihood depends on Farming?

17/08/2026

Are Natural Numbers Real Numbers? {1,2,3,4.......}
Logically provide proofs to your answer.

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