E ora ai ia, ka tahuri te kaumoana ki te raupapa i te āhua o tana hōpara (Te Ara 2013). / In order to survive mariners used strategies in their exploration.

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He maha ngā raupapa kame o te nōhanga kotahi (RP 2009:367). / There are many food chains in a single habitat.

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Arā ētahi pūāhua he nui ake i te kotahi te huringa pūngao, ka kīia he raupapa pūngao (RP 2009:214). / There are some other situations where there is more than a single energy transformation, and these are called energy chains.

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He tauira raupapa tau tēnei. Mō ia tupuranga o te tauira, ka tāpirihia te 3 ki te tau o mua: {1, 4, 7, 10, 13 ...} (TRP 2010:271). / This is a sequential pattern. For each repetition of the pattern, 3 is added to the previous number {1, 4, 7, 10, 13 ...}.

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Ko te tau raupapa: Koia ko te tau e whakaatu ana i te raupapa o tētahi mea. Mō ngā tau 1 ki te 9, ka honoa te 'tua' ki mua, arā, ko te tuatahi, te tuarua, tae atu ki te tuaiwa. I tua atu i te 9, mā te horopaki o te kōrero e whakaatu mēnā he tau raupapa, kāore rānei (TRP 2010:280). / Ordinal number: A number which shows the order of something. For numbers from 1 to 9, the prefix 'tua' is added. Above 9, the context of the discourse will show whether it is an ordinal number or not (TRP 2010:280).

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Mēnā e whai take ana te raupapa o te noho mai o ngā huānga o tētahi huinga, ka kīia he whiriwhiringa raupapa. Hei tauira: Mēnā e 3 ngā porotiti, ā, he rerekē ngā tae o ia porotiti, e 6 ngā whiriwhiringa raupapa mō te whakanoho i aua porotiti (TRP 2010:235). / If the sequence that the members of a set sit in has significance, that is called a permutation. For example: If there are 3 counters and the colours of each counter are different, there are 6 permutations for the positioning of those counters.

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Ko te raupapa tangiata te whaiwhai haere o tētahi tangiata i tētahi, i roto i te rerenga o tētahi waiata. I te nuinga o te wā, ka tāruaruatia te raupapa tangiata i roto i te waiata (RTP 2015:94). / Harmonic progression is the progression of chords, one following another in a phrase of a song. Usually the harmonic progression is repeated in a song (RTP 2015:94).

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Mō ētahi whakamātau tūponotanga, he pāpono raupapa te tikanga. Arā, ka whai tētahi mahi i tētahi. Hei tauira, ko te piu i te uka me te pīrori i te mataono tau. Mā te tuhi hoahoa rākau e kitea ai ngā putanga katoa e taea ana (TRP 2010:200). / For some probability experiments, a combined event is the method. That is, one activity follows another. For example, tossing a coin and rolling a dice. By writing a tree diagram all the results can be seen.

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Mehemea he nui ake i te kotahi ngā paheko i roto i tētahi tātaitanga, me mātua whai te raupapa paheko e tika ana. Arā, me whakaoti ngā taiapa i te tuatahi, kātahi ko ngā taupū, ko ngā whakawehenga, me ngā whakareatanga, ko ngā tāpiritanga, me ngā tangohanga (TRP 2010:235). / When there is more than one operation in a calculation, the correct order for the operations must be followed. The order is: brackets first, then exponents, division, multiplication, addition, subtraction (BEDMAS) (TRP 2010:235).

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Ko te takirua raupapa: E rua ngā tau ki rō taiapa, hei whakaatu i tētahi pūwāhi motuhake o te kauwhata. Ko te tau tuatahi hei whakaatu i te taunga huapae (x), ko te tau tuarua hei whakaatu i te taunga poutū (y). Ko te huinga takirua raupapa tētahi o ngā momo whakaaturanga pānga (TRP 2010:249). / Ordered pair: Two numbers written in brackets to show a specific point on a graph. The first number shows the 'x' or horizontal coordinate, the second number shows the 'y' or vertical coordinate. A set of ordered pairs is one way of showing a relationship (TRP 2010:249).

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Ko te huinga takirua raupapa tētahi o ngā momo whakaaturanga pānga (TRP 2010:249). / A set of ordered pairs is one way of showing a relationship (TRP 2010:249).

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Mēnā he ōrite ngā tae o ngā porotiti, ā, kāore he take o te raupapa, ka kīia he whiriwhiringa raupapa kore. Arā, kotahi te whiriwhiringa raupapa kore o ēnei porotiti (TRP 2010:235). / If the colours of the counters are the same, and there is no significance in the order, that is called a combination. That is, there is one combination of these counters.

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