Cikgu memberi ayat matematik: 2 m 40 cm + 1 m 85 cm = 4 m 25 cm. Bolehkah kamu mereka satu cerita yang sepadan? Hari ini kita reka cerita tentang panjang, jisim dan isi padu cecair.
编故事 = reka cerita;长度 = panjang;质量 = jisim;液体体积 = isi padu cecair
这一课倒过来做:不是看题目列算式,而是看算式编一个生活小故事。老师给的算式是 2 m 40 cm + 1 m 85 cm = 4 m 25 cm,我们要想一个用到长度的情境,比如买布、接绳子,让故事里的数字、单位和动作都跟算式对得上。之后还会编质量和液体体积的故事。
例子:妈妈买了 2 m 40 cm 的蓝布和 1 m 85 cm 的白布做窗帘,一共 4 m 25 cm。
注意:故事里每个数字后面都要带单位,m、cm、kg、g、ℓ、mℓ 不可漏掉。
making up a story = reka cerita; length = panjang; mass = jisim; volume of liquid = isi padu cecair
This unit works backwards: instead of reading a problem and writing the sum, we read the sum and invent a small everyday story. The teacher's sentence is 2 m 40 cm + 1 m 85 cm = 4 m 25 cm, so we need a length situation, such as buying cloth or joining ropes, where the numbers, the units and the action all fit. Later we will also write stories about mass and liquid volume.
Example: Mother buys 2 m 40 cm of blue cloth and 1 m 85 cm of white cloth for curtains, 4 m 25 cm in all.
Watch out: every number in the story needs its unit; never drop the m, cm, kg, g, ℓ or mℓ.
Langkah 1
Lihat simbol, pilih kata kunci
Setiap simbol ada kata kunci sendiri
simbol
kata kunci
contoh ayat
+
disambung, dicampur, jumlah
Dua helai kain disambung. Jumlah panjangnya …
−
dipotong, digunakan, diminum, baki
Ibu menggunakan 750 g tepung. Bakinya …
×
beberapa benda sama, setiap satu
4 paket gula, setiap satu 1 kg 250 g …
÷
dipotong / dituang sama banyak
dituang sama banyak ke dalam 4 jag …
Setiap nombor ada unit: m, cm · kg, g · ℓ, mℓ
符号 = simbol;关键词 = kata kunci;接起来 = disambung;用掉 = digunakan;平均倒入 = dituang sama banyak
第一步先看符号,再挑合适的动词。加法用“接起来、混合、总共”(disambung、dicampur、jumlah);减法用“剪掉、用掉、喝掉、剩下”(dipotong、digunakan、diminum、baki);乘法要有“几样一样的东西,每样多少”(setiap satu);除法要写“平均剪成几段”或“平均倒进几个容器”(sama banyak)。
例子:看到 ÷ 4 和 ℓ,就可以写“果汁平均倒进 4 个水壶”。
注意:减法的 dipotong 是剪掉一段,除法的 dipotong sama banyak 是剪成一样长的几段,两个意思不同。
symbol = simbol; key word = kata kunci; joined = disambung; used up = digunakan; poured equally = dituang sama banyak
Step one is to read the symbol and pick a fitting action word. Plus stories use joined, mixed or total (disambung, dicampur, jumlah); minus stories use cut off, used, drunk or left (dipotong, digunakan, diminum, baki); times stories need several identical things with an amount for each one (setiap satu); divide stories say cut into equal pieces or poured equally into some containers (sama banyak).
Example: with ÷ 4 and ℓ, you can write that juice is poured equally into 4 jugs.
Watch out: dipotong alone in a minus story cuts off one piece, while dipotong sama banyak in a divide story cuts the whole thing into equal pieces.
Langkah 2
Cerita panjang
2 m 40 cm + 1 m 85 cm = 4 m 25 cm
Cerita tambah · panjang · 2 m 40 cm + 1 m 85 cm = 4 m 25 cm
Ibu membeli 2 m 40 cm kain biru dan 1 m 85 cm kain putih untuk membuat langsir. Jumlah panjang kain yang dibeli ialah 4 m 25 cm.
Siapa → buat apa → berapa (dengan unit) → ayat terakhir sebut maksud jawapan
长度故事 = cerita panjang;布 = kain;窗帘 = langsir
第二步按“人物、做什么、多少(带单位)、最后一句说答案的意思”来编。符号是 +,关键词选 jumlah,情境选买布做窗帘:妈妈买 2 m 40 cm 蓝布和 1 m 85 cm 白布,两块布一共 4 m 25 cm。最后一句要讲清楚 4 m 25 cm 是“买回来的布总长”,别人一听就明白。
例子:也可以写成接绳子:弟弟把 2 m 40 cm 和 1 m 85 cm 两条绳子接起来,全长 4 m 25 cm。
注意:两个被加的数都要是同一种东西的长度,不能一个是布、一个是人的身高。
a length story = cerita panjang; cloth = kain; curtain = langsir
Step two builds the story from who, what they do, how much (with units), and a last sentence that explains the answer. The symbol is +, so the key word is jumlah, and the situation is buying cloth for curtains: Mother buys 2 m 40 cm of blue cloth and 1 m 85 cm of white cloth, 4 m 25 cm of cloth altogether. The last sentence must say that 4 m 25 cm is the total length of cloth bought, so a listener understands at once.
Example: a rope version also works: a boy ties ropes of 2 m 40 cm and 1 m 85 cm together, 4 m 25 cm long.
Watch out: both numbers being added must be lengths of the same kind of thing, not cloth and a person's height.
Cuba
Cerita manakah sepadan dengan 2 kg 500 g − 750 g = 1 kg 750 g?
质量减法故事 = cerita tolak jisim;面粉 = tepung;剩下 = baki
符号是 −,故事里的面粉一定要变少。Lina 姐有 2 kg 500 g 面粉,做饼干用掉 750 g,剩下 1 kg 750 g,动作和数字都对。第二个故事“再买 750 g”是变多,应该用 +,而且 2 kg 500 g + 750 g 是 3 kg 250 g。第三个“每天买 750 g,买 2 天”是乘法,750 g × 2 = 1 kg 500 g,也对不上。
例子:一袋糖 1 kg,煮糖水用掉 300 g,baki 700 g。
注意:先用符号判断东西变多还是变少,再核对数字和单位。
a minus story about mass = cerita tolak jisim; flour = tepung; left = baki
The symbol is −, so the flour in the story must go down. Kak Lina has 2 kg 500 g of flour, uses 750 g for biscuits and has 1 kg 750 g left; the action and the numbers both fit. The second story buys 750 g more, which makes the flour grow and needs +, and 2 kg 500 g + 750 g is 3 kg 250 g anyway. The third story, 750 g a day for 2 days, is multiplying, and 750 g × 2 = 1 kg 500 g does not match either.
Example: a 1 kg bag of sugar, 300 g used for syrup, leaves a baki of 700 g.
Watch out: use the symbol first to decide whether the amount grows or shrinks, then check the numbers and units.
Langkah 2
Cerita jisim dan cerita isi padu
1 kg 250 g × 4 = 5 kg · 3 ℓ 600 mℓ ÷ 4 = 900 mℓ
Cerita darab · jisim · 1 kg 250 g × 4 = 5 kg
Pak Ali membeli 4 paket gula. Jisim setiap paket ialah 1 kg 250 g. Jumlah jisim gula itu ialah 5 kg.
Cerita bahagi · isi padu · 3 ℓ 600 mℓ ÷ 4 = 900 mℓ
Mak Cik Rosnah membuat 3 ℓ 600 mℓ air tebu. Air tebu itu dituang sama banyak ke dalam 4 jag. Setiap jag berisi 900 mℓ air tebu.
乘法故事 = cerita darab;除法故事 = cerita bahagi;甘蔗汁 = air tebu;水壶 = jag
质量的乘法故事要有“几包一样的东西,每包多重”:Pak Ali 买 4 包糖,每包 1 kg 250 g,一共 5 kg。这里 4 是包数,1 kg 250 g 是每包的质量。液体体积的除法故事要有“一共多少,平均倒进几个容器”:Rosnah 阿姨做了 3 ℓ 600 mℓ 甘蔗汁,平均倒进 4 个水壶,每壶 900 mℓ。
例子:5 瓶一样的酱油,每瓶 320 mℓ,共 1 ℓ 600 mℓ(乘);2 kg 鸡肉平分成 4 包,每包 500 g(除)。
注意:乘法里的 4 是“4 包”,不是 4 kg;除法答案的单位要看清楚,900 mℓ 不可写成 900 ℓ。
a times story = cerita darab; a divide story = cerita bahagi; sugar-cane juice = air tebu; jug = jag
A times story about mass needs several identical packets and the mass of each: Pak Ali buys 4 packets of sugar at 1 kg 250 g each, 5 kg in all. Here 4 counts packets and 1 kg 250 g is the mass of one. A divide story about liquid volume needs one total poured equally into some containers: Mak Cik Rosnah makes 3 ℓ 600 mℓ of sugar-cane juice and pours it equally into 4 jugs, 900 mℓ in each.
Example: 5 identical bottles of soy sauce at 320 mℓ each hold 1 ℓ 600 mℓ (times); 2 kg of chicken packed equally into 4 bags gives 500 g a bag (divide).
Watch out: the 4 in the times story counts packets, not kilograms, and the divide answer is 900 mℓ, never 900 ℓ.
Munasabah?
Cerita manakah paling munasabah untuk 1 ℓ 500 mℓ ÷ 6 = 250 mℓ?
sensible = munasabah; swimming pool = kolam renang; cup = cawan
All three stories use dividing, but only one fits real life. Father pours 1 ℓ 500 mℓ of milk equally into 6 cups, 250 mℓ each, which is about one cupful, so it makes sense. A swimming pool holding only 1 ℓ 500 mℓ of water is far too little; it would not even fill a bucket. The third story puts 250 ℓ in each cup, more than a big water drum, so the unit is wrong.
Example: a 1 ℓ bottle of juice shared by 4 children gives each 250 mℓ, which is sensible.
Watch out: after writing a story, ask whether it could really happen; cups hold millilitres, and only tanks or drums hold many litres.
Padankan
Ayat matematik dan kata kunci
配对算式和关键词 = padankan ayat matematik dengan kata kunci
+ 配“两条绳子接起来”,总长 4 m 65 cm;− 配“米用掉了,求剩下”,剩 3 kg 800 g;× 4 配“4 瓶一样,每瓶 750 mℓ”,共 3 ℓ;÷ 3 配“剪成 3 段一样长”,每段 80 cm。只看符号就能配,不必先算出答案。
例子:看到 ÷ 和 m、cm,就找写着“sama panjang”的卡。
注意:× 4 的 4 是瓶数,÷ 3 的 3 是段数,两个都没有单位。
matching sums to key words = padankan ayat matematik dengan kata kunci
+ goes with two ropes joined, 4 m 65 cm long; − goes with rice used and the amount left, 3 kg 800 g; × 4 goes with 4 identical bottles of 750 mℓ each, 3 ℓ altogether; ÷ 3 goes with cutting into 3 equal pieces, 80 cm each. The symbol alone is enough to match the cards; there is no need to work out the answers first.
Example: when you see ÷ with m and cm, look for the card that says sama panjang.
Watch out: the 4 in × 4 counts bottles and the 3 in ÷ 3 counts pieces, so neither has a unit.
Ringkasan
Syabas!
simbol → kata kunci → situasi munasabah → unit → ayat terakhir
Lihat simbol dan pilih kata kunci. Pilih situasi harian yang munasabah tentang panjang, jisim atau isi padu cecair. Tulis unit untuk setiap nombor dan tamatkan cerita dengan maksud jawapan.