Mwalimu alituonyesha jinsi ya kupata wastani wa namba tano kwa kutumia kikokotoo.

It breaks down like this:

• a- = he/she
• -li- = past tense
• -tu- = us
• -onyesha- = show
• -a = the final vowel of the verb

So alituonyesha means he/she showed us.

This is very normal in Swahili: subject, tense, and object markers are often all attached to one verb.

Swahili does not have articles like a and the.

So mwalimu can mean:

• a teacher
• the teacher
• sometimes just teacher, depending on context

You figure out which one is meant from the situation, not from a separate word.

Because Swahili is highly agglutinative: many pieces of meaning are built into a single verb word.

In English, you need several words:

• showed
• us

In Swahili, those pieces are packed into one verb:

• alituonyesha

This is one of the biggest differences English speakers notice when learning Swahili.

Jinsi ya means how to or more literally the way of.

So:

• jinsi ya kupata = how to get/find
• literally: the way of getting/finding

This is a very common pattern in Swahili:

• jinsi ya kufanya = how to do
• jinsi ya kwenda = how to go
• jinsi ya kusoma = how to study/read

Here ya is a linking word, often equivalent to of in English.

So:

• jinsi ya kupata = the way of getting = how to get

This kind of linker is very common in Swahili. The form changes depending on noun class, but in this expression you can learn jinsi ya + verb as a useful chunk meaning how to + verb.

It can mean both, depending on context.

In everyday Swahili, kupata can mean:

• to get
• to obtain
• to find
• sometimes to receive

In a math sentence like this, kupata wastani is best understood as:

• to find the average
• to calculate the average

So the meaning is mathematical, not just get in a general sense.

Wastani means average.

The wa is a connector meaning something like of.

So:

• wastani wa namba tano = the average of five numbers

This wa is extremely common in Swahili noun phrases:

• kitabu cha mwanafunzi = the student’s book / book of the student
• mlango wa nyumba = the door of the house
• wastani wa namba tano = the average of five numbers

By itself, it can potentially be understood either way in some contexts, which can confuse learners.

But in this sentence, wastani wa namba tano clearly means the average of five numbers.

Why?

Because the context is mathematical: you take an average of several numbers, not of number five by itself.

Also, namba is a loanword that often looks the same in singular and plural, so context matters a lot.

Kwa kutumia means by using or simply using.

• kwa can introduce means, method, or manner
• kutumia = to use

So:

• kwa kutumia kikokotoo = by using a calculator

This is a very common pattern:

• kwa kutumia kalamu = by using a pen
• kwa kutumia kompyuta = by using a computer
• kwa kutumia njia hii = by using this method

Kikokotoo comes from the verb kokotoa, which means to calculate.

The prefix ki- often appears in class 7 nouns, and class 7 often includes tools, instruments, and objects.

So kikokotoo is basically a calculating device, meaning calculator.

Its plural is:

• vikokotoo = calculators

So this is also a useful noun-class example:

• ki-kokotoo = calculator
• vi-kokotoo = calculators

Yes, it is very natural.

The structure is:

• Mwalimu = subject
• alituonyesha = showed us
• jinsi ya kupata wastani wa namba tano = how to find the average of five numbers
• kwa kutumia kikokotoo = by using a calculator

So the sentence flows very naturally as:

Teacher + showed us + how to find the average of five numbers + by using a calculator

This is a good example of normal Swahili sentence structure, especially in instructional or classroom language.