Mwalimu alituonyesha jinsi ya kupata wastani wa namba tano.

It breaks down like this:

• a- = he/she
• -li- = past tense
• -tu- = us
• -onyesh(a) = show
• -a = final vowel

So alituonyesha means he/she showed us.

This kind of stacking is very common in Swahili verbs. A single verb often includes:

• the subject,
• the tense,
• the object,
• and the verb root.

So instead of separate words like English he showed us, Swahili can pack that into one word.

Swahili normally does not use articles like a, an, or the.

So mwalimu can mean:

• a teacher
• the teacher

The context tells you which one is meant. In this sentence, English would usually translate it as the teacher, but Swahili itself does not need a separate word for the.

jinsi means way, manner, or how depending on context.

In this sentence, jinsi ya kupata... means how to get/find/calculate...

The ya here links jinsi to the following verb. You can think of it as something like:

• the way of getting
• or more naturally, how to get

So:

• jinsi ya kupata wastani = how to find/calculate the average

Because jinsi usually connects to the following action with a linker, here ya.

So:

• jinsi ya kupata = how to get/find
• not just jinsi kupata

This is a very common pattern in Swahili:

• njia ya kufanya = a way of doing
• sababu ya kuondoka = the reason for leaving
• jinsi ya kusema = how to say

So ya is doing an important linking job.

Literally, kupata often means to get or to obtain.

But in many contexts, especially in school or math language, it can also mean:

• to find
• to work out
• to calculate

So in this sentence, kupata wastani is best understood as:

• to find the average
• to calculate the average

Even if the basic dictionary meaning is get, the natural English meaning here is mathematical.

Yes, wastani means average and is commonly used in math.

Depending on context, it can also mean something like mean or average level, but in a school sentence like this it clearly refers to the mathematical average.

So:

• kupata wastani = to calculate the average

wa is a connector often translated as of.

So:

• wastani wa namba tano = the average of five numbers

This connector changes form depending on the noun class of the first noun. Here, with wastani, the correct connector is wa.

You do not need to translate it too mechanically every time, but it often works like English of.

In this sentence, it means five numbers.

That may feel a little surprising at first, because in English number five is also possible. But context matters a lot. Since the sentence talks about calculating an average, wastani wa namba tano is understood as the average of five numbers.

Also, namba is a loanword and is often used without changing form for singular vs. plural in everyday speech. So context tells you whether it means:

• number
• or numbers

Here, the math context strongly points to five numbers.

The connector agrees with the first noun, not the second one.

Here the first noun is wastani. Because of its noun class, the connector used is wa.

So the pattern is:

• wastani wa ... = average of ...

Even though namba follows after it, the form of the connector is determined by wastani, not by namba.

The word order is actually fairly close to English here:

• Mwalimu = the teacher
• alituonyesha = showed us
• jinsi ya kupata = how to calculate
• wastani wa namba tano = the average of five numbers

So the overall structure is:

Teacher + showed us + how to calculate + the average of five numbers

What feels different is not so much the word order, but the fact that Swahili packs a lot into one verb, like alituonyesha.

Because Swahili commonly uses object markers inside the verb.

In English, you say:

• showed us

In Swahili, the us can appear inside the verb:

• ali-tu-onyesha

That -tu- is the object marker for us.

This is one of the biggest structural differences from English. As you learn Swahili, you will see this a lot:

• aliniona = he/she saw me
• alikupigia = he/she called you
• walitusaidia = they helped us

Yes. Mwalimu can refer to either a male or a female teacher.

Also, a- in alituonyesha can mean he or she. Swahili verbs usually do not mark gender the way English does.

So the sentence itself does not tell you whether the teacher is male or female unless the wider context makes it clear.

Yes. The basic verb is onyesha, meaning show.

So:

• kuonyesha = to show
• alituonyesha = he/she showed us

You may also notice similar verbs built from the same idea in different forms, but for this sentence the key point is simply that onyesha is the verb root meaning show.

Yes, very naturally.

Because the meaning is already clear from context, English translations could include:

• The teacher showed us how to calculate the average of five numbers.
• The teacher showed us how to find the average of five numbers.

Both are good. In a math setting, find or calculate usually sounds more natural than the more literal get.