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Unit 4 · Selesaikan Masalah
Unit 4

Selesaikan Masalah

Kedai Pak Mat menjual empat jenis donut.
Pak Mat mahu tahu: donut perisa apakah yang paling laris? Berapakah donut yang dijual semuanya?
Mari gunakan carta untuk menjawab.

Selesaikan Masalah
解决问题 = selesaikan masalah;卖得最好 = paling laris;口味 = perisa 这一课用统计表和统计图解决生活里的问题。Pak Mat 的店卖四种口味的甜甜圈,他想知道哪一种卖得最好、一共卖了多少个。答案就藏在图表里:先读出数字,再比较大小,或者加起来、减一减。 例子:表格写巧克力 10 个、糖霜 6 个,巧克力就卖得比较好。 注意:每一题先看清楚问的是“最多、最少、一样多、相差还是一共”。
solve problems = selesaikan masalah; best-selling = paling laris; flavour = perisa This unit uses tables and charts to solve everyday problems. Pak Mat's shop sells four flavours of doughnut, and he wants to know which sells best and how many were sold altogether. The answers are hidden in the charts: read the numbers, then compare them, add them or subtract them. Example: a table showing chocolate 10 and sugar 6 tells us chocolate sold better. Watch out: for every question, first be clear whether it asks for the most, the fewest, the same, the difference or the total.
Empat langkah

Diberi → Dicari → Cara → Semak

Gariskan kata kunci dalam soalan

1. Diberi

carta apa? nilai apa?

2. Dicari

gariskan kata kunci

3. Cara

baca nilai → banding / tambah / tolak

4. Semak

baca carta sekali lagi
Kata kunciApa yang dibuat
paling banyak / paling kurangcari nilai terbesar / terkecil
sama banyakcari dua nilai yang sama
beza / berapa lebihtolak
jumlah / semuanyatambah
关键词 = kata kunci;画线 = gariskan 解图表题也用四步。Diberi:题目给了哪一个图、哪些数字。Dicari:题目要找什么,把关键词画线。Cara:读数字,再比较或计算。Semak:回到图上再读一次,确定没有看错行或看错颜色。关键词决定做什么:paling banyak/paling kurang 找最大/最小;sama banyak 找一样的数;beza 用减;jumlah 用加。 例子:“berapa lebih” 跟 beza 一样,也是用减法。 注意:最常犯的错是把 paling kurang 看成 paling banyak,画线可以避免。
key word = kata kunci; underline = gariskan Chart problems use the same four steps. Diberi: which chart and which numbers are given. Dicari: what the question wants; underline the key words. Cara: read the values, then compare or calculate. Semak: read the chart once more to be sure you did not take the wrong row or colour. Key words decide the work: paling banyak or paling kurang means find the biggest or smallest, sama banyak means find equal values, beza means subtract and jumlah means add. Example: berapa lebih works like beza, so it is also a subtraction. Watch out: the most common slip is reading paling kurang as paling banyak, and underlining prevents it.
Contoh 1 · jadual

Warna yang paling kurang disukai

Warna kegemaran 30 orang kawan

WarnaBilangan
Biru7
Hijau4
Ungu9
Merah jambu4
Kuning6

1. Dicari

paling kurang disukai

2. Cara

nilai terkecil = 4
Hijau dan Merah jambu

3. Semak

7, 9, 6 > 4 ✓
最少人喜欢 = paling kurang disukai;并列 = sama banyak 第一题用表格。题目问最少人喜欢的颜色,所以要找最小的数。表里的数是 7、4、9、4、6,最小的是 4,而且有两个颜色都是 4:绿色和粉红色。这时候两个都是答案,不能只写一个。检查:其他的 7、9、6 都比 4 大。 例子:如果表里最大的数有两个都是 9,那“最多”的答案也是两种颜色。 注意:找到最小的数后,要再扫一遍,看有没有别的种类也一样小。
liked by the fewest = paling kurang disukai; a tie = sama banyak Example one uses a table. The question asks for the colour liked by the fewest, so we look for the smallest number. The table shows 7, 4, 9, 4 and 6; the smallest is 4, and two colours share it: green and pink. Both are the answer, so do not write only one. Check: 7, 9 and 6 are all bigger than 4. Example: if two colours both had the top value of 9, the answer for the most would also be two colours. Watch out: after finding the smallest number, scan again to see whether another group is just as small.
Cuba

Berapakah murid bagi warna yang paling banyak dipilih?

WarnaBiruHijauUnguMerah jambuKuning
Bilangan74946
最多的那一类有几人 = berapa murid bagi yang paling banyak 这次问的是“最多”,要找最大的数。表里 7、4、9、4、6,最大是 9(紫色),所以答案是 9 人。选 7 是第二大的蓝色;选 4 是最小的数,把 paling banyak 看成了 paling kurang。 例子:同一个表,最多的颜色是紫色,答案写名字;问“有几人”就写 9。 注意:看清楚题目要名字还是要数字。
how many in the biggest group = berapa murid bagi yang paling banyak This time the question is about the most, so find the biggest number. The table shows 7, 4, 9, 4 and 6; the biggest is 9 (purple), so the answer is 9 pupils. 7 is blue, the second biggest, and 4 is the smallest, which comes from reading paling banyak as paling kurang. Example: with the same table, which colour is liked most is answered with a name, purple; how many is answered with 9. Watch out: check whether the question wants a name or a number.
Contoh 2 · carta pai

Mata pelajaran kegemaran

Berapa lebih murid suka Matematik daripada Muzik?

Mata pelajaran kegemaran121596PetunjukSainsMatematikSeniMuzik

1. Dicari

berapa lebih → tolak

2. Cara

Matematik 15 − Muzik 6 = 9

3. Semak

6 + 9 = 15 ✓
多几个 = berapa lebih;减法 = tolak 第二题用饼分图。题目问喜欢数学的比喜欢音乐的多几人。关键词 berapa lebih 告诉我们要用减法。先用图例找数学(蓝色)是 15,音乐(红色)是 6,再算 15 − 6 = 9。检查:6 + 9 = 15,对。 例子:喜欢科学的比美术多 12 − 9 = 3 人。 注意:减的时候用大数减小数,两个数的位置不要放反。
how many more = berapa lebih; subtract = tolak Example two uses a pie chart. The question asks how many more pupils like Mathematics than Music, and berapa lebih tells us to subtract. Use the key to find Mathematics (blue) at 15 and Music (red) at 6, then work out 15 − 6 = 9. Check: 6 + 9 = 15, correct. Example: Science is liked by 12 − 9 = 3 more pupils than Art. Watch out: take the smaller number from the bigger one; do not swap their places.
Cuba

Berapakah beza bilangan murid yang suka Sains dengan Seni?

Mata pelajaran kegemaran121596PetunjukSainsMatematikSeniMuzik
相差 = beza 科学(橙色)12 人,美术(绿色)9 人。beza 用减法:12 − 9 = 3。选 21 是把两个数加起来,那是两科一共的人数;选 6 是看了音乐的扇区。检查:9 + 3 = 12。 例子:数学和科学相差 15 − 12 = 3。 注意:beza 和 jumlah 很容易混,beza 是减,jumlah 是加。
difference = beza Science (orange) has 12 and Art (green) has 9. Beza means subtract: 12 − 9 = 3. 21 adds the two numbers, which is how many like either subject in total, and 6 is the Music sector. Check: 9 + 3 = 12. Example: Mathematics and Science differ by 15 − 12 = 3. Watch out: beza and jumlah are easy to mix up; beza subtracts and jumlah adds.
Contoh 3 · piktograf dan carta palang

Donut yang paling laris

Satu ikon mewakili 2 donut

Jualan donutCoklatGulaStrawberiKacangmewakili 2 donut
Jualan donut0246810Bilangan donutCoklatGulaStrawberiKacang

Paling laris: Coklat (5 × 2 = 10)  ·  Jumlah: 10 + 6 + 8 + 4 = 28

卖得最好 = paling laris;一共 = jumlah 第三题有象形图和条形图两个图,可以互相检查。象形图一个图标代表 2 个甜甜圈,巧克力 5 个图标,5 × 2 = 10,是最多的,所以巧克力卖得最好。一共卖了 10 + 6 + 8 + 4 = 28 个。再看条形图,巧克力的长条刚好到 10,答案对得上。 例子:花生口味 2 个图标,就是 4 个甜甜圈,条形图也到 4。 注意:象形图要先乘 2 再加,不要把图标数直接加起来。
best-selling = paling laris; altogether = jumlah Example three gives a pictograph and a bar chart, which can check each other. In the pictograph one icon stands for 2 doughnuts; chocolate has 5 icons, 5 × 2 = 10, the most, so chocolate sells best. Altogether 10 + 6 + 8 + 4 = 28 were sold. In the bar chart the chocolate bar reaches exactly 10, so the answers agree. Example: peanut has 2 icons, which is 4 doughnuts, and its bar also reaches 4. Watch out: multiply by 2 before adding; do not add the numbers of icons directly.
Cuba

Berapakah jumlah donut perisa strawberi dan gula yang dijual?

Jualan donutCoklatGulaStrawberiKacangmewakili 2 donut
两类一共 = jumlah dua kelas 草莓 4 个图标 = 8 个,糖霜 3 个图标 = 6 个,一共 8 + 6 = 14 个。选 7 是只把图标数 4 + 3 加起来,忘了每个图标是 2 个;选 2 是两种相差的数。也可以先加图标再乘:7 × 2 = 14,一样。 例子:巧克力和花生一共 10 + 4 = 14 个。 注意:jumlah 是加,答案一定比两个数都大。
two groups together = jumlah dua kelas Strawberry has 4 icons, which is 8, and sugar has 3 icons, which is 6, so together 8 + 6 = 14. 7 just adds the icons, 4 + 3, forgetting each icon is 2, and 2 is the difference between them. You can also add the icons first and then multiply: 7 × 2 = 14, the same. Example: chocolate and peanut together are 10 + 4 = 14. Watch out: jumlah means add, so the answer must be bigger than both numbers.
Padankan

Kata kunci dan cara

关键词配做法 = padankan kata kunci paling laris 是卖得最多,要找最大的数;paling kurang 是最少,要找最小的数;sama banyak 是一样多,要找两个相同的数;berapa lebih 是多几个,要拿两个数相减。认得关键词,就知道要比较还是要计算。 例子:jumlah 或 semuanya 要把数加起来。 注意:paling laris 不是“最贵”,是“卖出最多”。
matching key words to actions = padankan kata kunci Paling laris means sold the most, so find the biggest value; paling kurang means the fewest, so find the smallest; sama banyak means equal, so find two values that match; berapa lebih means how many more, so subtract one value from another. Knowing the key word tells you whether to compare or to calculate. Example: jumlah or semuanya means add the numbers together. Watch out: paling laris does not mean most expensive; it means sold in the greatest number.
Awas!

Permainan tradisional manakah yang paling kurang dimainkan?

Permainan tradisional kegemaran02468101214Bilangan muridCongkakGasingBatu serembanWau
小心关键词 = awas kata kunci 题目问 paling kurang,要找最矮的长条。四条长条分别是 congkak 14、gasing 8、batu seremban 5、wau 11,最矮的是 batu seremban 5。选 congkak 是看了最高的,把“最少”看成“最多”;gasing 8 是第二矮。 例子:同一个图,问 paling banyak 的话答案才是 congkak。 注意:做完回头再读一次题目,确定答的是题目问的。
beware of the key word = awas kata kunci The question asks for paling kurang, so look for the shortest bar. The bars are congkak 14, gasing 8, batu seremban 5 and wau 11; the shortest is batu seremban with 5. Congkak is the tallest bar, chosen by reading the fewest as the most, and gasing with 8 is second shortest. Example: with the same chart, congkak would be the answer only for paling banyak. Watch out: after answering, read the question again to be sure you answered what it asked.
Ringkasan

Syabas!

Diberi → Dicari (kata kunci) → Cara → Semak

Gariskan kata kunci. Paling banyak / paling kurang: banding nilai. Beza: tolak. Jumlah: tambah. Piktograf: darab dengan nilai satu ikon dahulu. Semak dengan membaca carta sekali lagi.

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