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Unit 5 · Cabar Minda
Unit 5

Cabar Minda

Daniel ada 6 keping segi tiga sama sisi yang sama saiz.
Dia mencantumkan semua bucunya di satu titik di tengah.
Poligon sekata apakah yang terbentuk? Berapa sisinya?

Cabar Minda
思考挑战 = cabar minda;拼合 = cantum Daniel 有 6 片一样大的等边三角形纸片。他把每片的一个角都对准中间同一个点,一片接一片围成一圈。会拼出什么正多边形?一共有几条边?这一课就是动脑想一想、拼一拼。 例子:两片一样的直角三角形可以拼成一个长方形。 注意:拼的时候三角形的边要贴着边,不能重叠。
mind challenge = cabar minda; join = cantum Daniel has 6 equal equilateral triangles cut from card. He puts one corner of every piece at the same centre point and lays them round in a ring. Which regular polygon does he make, and how many sides does it have? This lesson is about thinking it through and fitting shapes together. Example: two equal right-angled triangles can be joined into a rectangle. Watch out: the triangles must sit side against side without overlapping.
Lihat

Enam segi tiga menjadi …

Kira sisi di luar sahaja

1234566 segi tiga sama sisikira sisi luar sahaja: 6heksagon sekatagaris di dalam tidak dikira

6 sisi luar, semuanya sama panjang → heksagon sekata

外围的边 = sisi luar;接缝 = garis di dalam 动画中 6 个三角形一个接一个围着中心摆好,刚好绕满一圈,没有空隙。拼好的图形外面一圈有 6 条边,每条都是原来三角形的一条边,所以一样长。里面那 6 条线是三角形之间的接缝,不算图形的边。 例子:一块六边形饼干切成 6 片三角形,拼回去还是六边形。 注意:只数外面那一圈,里面的线不算。
outer sides = sisi luar; joins inside = garis di dalam In the animation the 6 triangles are placed one after another round the centre and fill a full turn with no gaps. The finished shape has 6 sides round the outside, each one a side of one of the small triangles, so they are all equal. The 6 lines inside are joins between triangles, not sides of the new shape. Example: a hexagon biscuit cut into 6 triangle pieces makes a hexagon again when put back. Watch out: count only the ring of sides outside, not the lines inside.
Cuba

Berapakah bilangan sisi bentuk yang dicantum ini?

数新图形的边 = kira sisi bentuk baharu 新图形只看外面一圈:6 条边。如果把里面的接缝也算进去,会数成 12 条;如果把 6 个三角形各 3 条边全部加起来,会数成 18 条。这两个都是常见错误。新图形的边只有外围的 6 条。 例子:4 块正方形拼成一个大正方形,大正方形还是只有 4 条外边。 注意:拼起来以后,贴在一起的边就藏在里面了。
counting sides of the new shape = kira sisi bentuk baharu Look only at the outside ring of the new shape: 6 sides. Counting the joins inside as well gives 12, and adding up all 3 sides of each of the 6 triangles gives 18; both are common mistakes. The new shape has just the 6 outer sides. Example: 4 squares joined into a big square still give a big square with only 4 outer sides. Watch out: once pieces are joined, the sides pressed together are hidden inside.
Cabar lagi

Mei mencantum 4 segi tiga sama sisi begini. Bentuk apakah terbentuk?

四个三角形 = empat segi tiga 四个一样的等边三角形:三个尖朝上,中间一个倒过来,拼成一个更大的三角形。外面一圈只有 3 个角,所以还是三角形,每条大边由两条小边连成。不是六边形,也不是正方形。 例子:三角形的饭团盒也常用这样的方法分成 4 格。 注意:外边上连成一直线的两条小边,只算一条大边。
four triangles = empat segi tiga Four equal equilateral triangles, three pointing up and one upside down in the middle, make a bigger triangle. The outside has only 3 corners, so it is still a triangle, and each big side is made of two small sides in a straight line. It is not a hexagon or a square. Example: a triangle lunch box is often split into 4 sections this way. Watch out: two small sides lying in one straight line count as one big side.
Cabaran kedua

Surih tapak prisma

Letak prisma di atas kertas, lukis mengikut tepinya

prisma segi tiga
→surih
segi tiga

Surihan tapak = bentuk tapak prisma

描底面 = surih tapak 把三角棱柱立在纸上,让一个三角形的底面贴着纸。用笔沿着底面的边描一圈,再把棱柱拿开。纸上留下的就是一个三角形,跟棱柱的底面一模一样。所以描出来的形状,告诉我们棱柱的底面是什么形状。 例子:把茶叶罐放在纸上描一圈,会得到一个圆形。 注意:描的时候要压住棱柱,不要让它移动。
tracing the base = surih tapak Stand the triangular prism on paper with a triangle base flat on the sheet. Run a pencil round the edges of the base, then lift the prism away. What is left on the paper is a triangle, exactly the same as the prism's base. So the traced shape tells us the shape of the prism's base. Example: tracing round a tea tin placed on paper gives a circle. Watch out: hold the prism still while tracing so that it does not slide.
Padankan

Cantum atau surih?

配对活动和结果 = padankan aktiviti dan hasil 6 个三角形围着中心拼 → 外面 6 条边 → 正六边形。4 个三角形拼 → 外面 3 个角 → 大三角形。描三角棱柱的底面 → 三角形。描正方体的底面 → 正方形。拼合看外围,描画看底面。 例子:描长方体最长的那一面,会得到长方形。 注意:拼合题只数外边;描画题看贴着纸的那个面。
matching activities and results = padankan aktiviti dan hasil 6 triangles round a centre give 6 outer sides, a regular hexagon. 4 triangles give 3 outer corners, a bigger triangle. Tracing the base of a triangular prism gives a triangle, and tracing a cube gives a square. For joining, look at the outline; for tracing, look at the base. Example: tracing the long face of a cuboid gives a rectangle. Watch out: in joining questions count only the outer sides; in tracing questions look at the face touching the paper.
Ringkasan

Syabas!

cantum → kira sisi luar · surih → bentuk tapak

6 segi tiga sama sisi dicantum menjadi heksagon sekata: 6 sisi luar. Garis di dalam tidak dikira. Surihan tapak prisma segi tiga ialah segi tiga.

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