Unit 2
Cabar Minda
Sebatang coklat dibahagi kepada 5 bahagian sama besar. 2 bahagian dimakan.
Sekotak ada 5 biji gula-gula. 2 biji dimakan.
Adakah pecahan yang dimakan sama? Bincangkan.

比较两种分数 = bandingkan pecahan
题里有两样东西:一条巧克力切成 5 等份,一盒 5 颗糖果,两边都吃掉 2。想一想:一个整体和一组物件,写出的分数会一样吗?
例子:一个饼分 4 等份吃 1 份,和 4 个饼吃 1 个,都是 1/4。
注意:分数比的是“几份中的几份”,不是东西的大小。
comparing two fractions = bandingkan pecahan
This puzzle shows two different things: a chocolate bar cut into 5 equal pieces, and a box of 5 sweets. Two are eaten from each. Think about it: one whole cut into parts, and a group of objects; do they give the same fraction?
Example: 1 of 4 equal slices of one cake and 1 of 4 whole cakes are both 1/4.
Watch out: a fraction compares parts out of all the parts, not the size of the things.
Satu benda atau satu kumpulan
Pecahannya sama
Kedua-duanya 2 daripada 5
Rajah A
Rajah B
Rajah A = 25 Rajah B = 25
Pecahannya sama.
整体与一组 = satu benda dan satu kumpulan
A 图是一样东西分成 5 等份,涂了 2 份;B 图是一组 5 个物件,涂了 2 个。两图分母都是 5、分子都是 2,所以都是 2/5。
例子:一块蛋糕切 6 等份拿走 5 份,或 6 个杯子蛋糕拿走 5 个,都是 5/6。
注意:只要“总份数”和“涂色份数”一样,分数就一样。
one thing or one group = satu benda dan satu kumpulan
Picture A is one object cut into 5 equal parts with 2 shaded. Picture B is a group of 5 objects with 2 shaded. Both have denominator 5 and numerator 2, so both show 2/5. The pictures look different but the fraction is the same.
Example: 5 of 6 equal cake slices, or 5 of 6 cupcakes, are both 5/6.
Watch out: when the total parts and the shaded parts match, the fractions match.
Syarat penting
Bahagian mesti sama besar
Untuk satu benda
3 bahagian sama besar → 13 ✔3 bahagian tidak sama besar → bukan pecahan ✘
必须等分 = mesti sama besar
把一样东西分成几份来写分数时,每一份要一样大。上面的长条分成 3 个相等的部分,涂 1 份就是 1/3。下面的长条虽然也有 3 份,但大小不同,涂的那一小份不能叫 1/3。
例子:一张纸对折两次得到 4 个一样大的长方形,每一个是 1/4。
注意:先检查是不是等分,再数份数。
equal parts are a must = mesti sama besar
When one object is cut up to show a fraction, every part must be the same size. The top strip has 3 equal parts, so 1 shaded part is 1/3. The bottom strip also has 3 parts, but they are not equal, so its small shaded part cannot be called 1/3.
Example: fold a sheet twice to get 4 equal rectangles; each one is 1/4.
Watch out: check that the parts are equal before counting them.
Cabar minda
Adakah pecahan bahagian berwarna sama?
Rajah A
Rajah B
圆形和一组物件 = bulatan dan sekumpulan objek
先看 A:数圆形一共分成几个相等的扇形,再数涂了几个。再看 B:数一共有几个球、涂了几个。把两边的“总数”和“涂色数”分别比较,就知道分数是否一样。
例子:圆形 8 等份涂 3 份,和 8 粒珠子涂 3 粒,都是 3/8。
注意:分母要用全部的数目,不能只数没涂的。
a circle and a group = bulatan dan sekumpulan objek
Look at A: count the equal slices of the circle, then the shaded ones. Look at B: count all the balls, then the shaded ones. Compare the totals and the shaded counts of both pictures to decide whether the fractions match.
Example: 3 of 8 equal circle slices and 3 of 8 beads are both 3/8.
Watch out: the denominator uses all the parts, not just the unshaded ones.
Cabar minda
Adakah pecahan bahagian berwarna sama?
Rajah A
Rajah B
分母不同 = penyebut berbeza
涂色的份数一样,不代表分数一样。分别数出 A 的长条一共几份、B 一共几个球,写出两个分数,再比较分母。分子相同时,分母不同,分数就不同。
例子:长条 6 等份涂 1 份是 1/6,7 颗珠子涂 1 颗是 1/7,两者不同。
注意:只看涂了几份是不够的,一定要看总份数。
different denominators = penyebut berbeza
The same number of shaded parts does not always mean the same fraction. Count all the parts of strip A and all the balls in group B, write both fractions, then compare the denominators. With equal numerators, different denominators give different fractions.
Example: 1 of 6 strip parts is 1/6 and 1 of 7 beads is 1/7; they are not the same.
Watch out: counting the shaded parts alone is not enough; always check the total.
Cabar minda
Rajah manakah menunjukkan 13 dengan betul?
找出正确的三分之一 = cari satu pertiga
1/3 的意思是把一个整体分成 3 个一样大的部分,取其中 1 份。所以要找的图必须同时符合两点:刚好 3 份,而且每份一样大。
例子:一条丝带剪成 3 段一样长,其中 1 段是丝带的 1/3。
注意:份数对了还不够,每一份的大小也要检查。
spotting one third = cari satu pertiga
1/3 means one whole cut into 3 parts of the same size, with 1 part taken. So the right picture must pass two checks: exactly 3 parts, and every part the same size.
Example: cut a ribbon into 3 equal lengths; one length is 1/3 of the ribbon.
Watch out: having the right number of parts is not enough; check the sizes as well.
Ringkasan
Syabas!
Satu benda · satu kumpulan
Pecahan sama jika jumlah bahagian dan bahagian berwarna sama, walaupun rajahnya berbeza. Untuk satu benda, bahagian mesti sama besar.
Latihan tambahan →