Unit 4
Akal Pintar
Seekor rama-rama bermula di asalan O.
Ia terbang 3 unit ke kanan, kemudian 4 unit ke atas, lalu hinggap pada bunga raya.
Di manakah bunga raya itu?
移动和坐标 = pergerakan dan koordinat
这道动脑题用“移动”来说位置：蝴蝶从原点出发，先往右飞几格，再往上飞几格，停在一朵花上。往右飞的格数和往上飞的格数，刚好就是那朵花的坐标。之后还要想一想：如果不是从原点出发，又该怎么算。
例子：小鸟从原点往右 1 格、往上 2 格，停在 (1, 2)。
注意：往右的格数写在前面，往上的格数写在后面。
movement and coordinates = pergerakan dan koordinat
This puzzle describes position with movement: a butterfly starts at the origin, flies some units right, then some units up, and lands on a flower. The units right and the units up are exactly the flower's coordinates. Later we also think about what happens when it does not start at the origin.
Example: a bird that flies 1 unit right and 2 units up from the origin lands at (1, 2).
Watch out: the units right come first and the units up come second.
Dari O
Ke kanan 3, ke atas 4
Bunga raya (3, 4)
从原点出发的移动 = pergerakan dari O
从原点出发时，往右移动的格数就是第一个数字，往上移动的格数就是第二个数字，直接写成坐标就可以了。蝴蝶往右 3、往上 4，所以花的坐标是 (3, 4)。
例子：蜜蜂从原点往右 6、往上 1，停在 (6, 1)。
注意：题目先说往上再说往右时，也要把往右的数字写在前面。
moving from the origin = pergerakan dari O
When the movement starts at the origin, the units moved right give the first number and the units moved up give the second, so you can write the coordinate straight away. The butterfly goes 3 right and 4 up, so the flower is at (3, 4).
Example: a bee that goes 6 right and 1 up from the origin stops at (6, 1).
Watch out: even if the question mentions 'up' before 'right', the number for 'right' is written first.
Bukan dari O
Tambah pergerakan
(3, 4) → 2 ke kanan, 1 ke atas → (5, 5)
ke kanan → tambah x · ke atas → tambah y · ke kiri → tolak x
不从原点出发 = bukan bermula di O
如果蝴蝶从 (3, 4) 再出发，就要在原来的数字上加减。往右走几格，第一个数字就加几；往上走几格，第二个数字就加几；往左走就是第一个数字减几。所以 (3, 4) 往右 2、往上 1，变成 (5, 5)。
例子：从 (1, 1) 往右 4、往上 2，到 (5, 3)。
注意：横向的移动只改第一个数字，竖向的移动只改第二个数字。
not starting at the origin = bukan bermula di O
If the butterfly sets off again from (3, 4), you add to or subtract from the numbers it already has. Moving right adds to the first number; moving up adds to the second; moving left subtracts from the first. So (3, 4) moved 2 right and 1 up becomes (5, 5).
Example: from (1, 1), moving 4 right and 2 up reaches (5, 3).
Watch out: a sideways move changes only the first number, and an up move changes only the second.
Cuba
Seekor lebah bermula di O. Ia terbang 5 unit ke kanan dan 2 unit ke atas. Di manakah lebah itu?
从原点的移动写坐标 = tulis koordinat
从原点出发，往右的格数就是第一个数字，往上的格数就是第二个数字。把它们按次序放进括号。也可以在方格上画出路线来检查。
例子：往右 2、往上 6，写 (2, 6)。
注意：两个移动的格数不能相加成一个数字。
writing a coordinate from a movement = tulis koordinat
From the origin, the units moved right are the first number and the units moved up are the second. Put them in order inside brackets. You can also draw the route on the grid to check.
Example: 2 right and 6 up is written (2, 6).
Watch out: do not add the two movements together into one number.
Cuba
Seekor semut di (1, 2). Ia berjalan 3 unit ke kanan dan 2 unit ke atas. Di manakah semut itu sekarang?
从别的点出发 = bermula di titik lain
蚂蚁不是从原点出发，所以不能直接把移动的格数当成坐标。往右走的格数，加到出发点的第一个数字上；往上走的格数，加到出发点的第二个数字上。
例子：从 (2, 0) 往右 1、往上 3，到 (3, 3)。
注意：先写出出发点，再一个方向一个方向地加。
starting from another point = bermula di titik lain
The ant does not start at the origin, so the movement is not the coordinate itself. Add the units moved right to the starting point's first number, and the units moved up to its second number.
Example: from (2, 0), moving 1 right and 3 up reaches (3, 3).
Watch out: write the starting point first, then add one direction at a time.
Cuba
Seekor pepatung di (6, 4). Ia terbang 2 unit ke kiri. Di manakah pepatung itu sekarang?
往左移动 = bergerak ke kiri
往左走，离纵轴更近，所以第一个数字会变小，要减去走的格数；没有往上或往下，第二个数字不变。
例子：从 (5, 1) 往左 3，到 (2, 1)。
注意：往左是减，不是加。
moving left = bergerak ke kiri
Moving left brings you closer to the y-axis, so the first number gets smaller: subtract the units moved. There is no up or down movement, so the second number stays the same.
Example: from (5, 1), moving 3 left reaches (2, 1).
Watch out: moving left means subtract, not add.
Ringkasan
Syabas!
ke kanan +x · ke atas +y
Dari O, pergerakan terus menjadi koordinat. Dari titik lain, tambah atau tolak pergerakan kepada koordinat asal.
Latihan tambahan →