Transformations
Akopọ
Every animated logo, every character walking across a game screen and every CAD drawing rotated on an engineer's monitor relies on the same four moves: reflect, rotate, translate, enlarge. Each one changes a shape's position or size in a precisely defined way, and each one can be described completely, without a picture, using nothing more than a few coordinates and numbers.
This topic builds fluency in all four transformations, including enlargements with negative and fractional scale factors, shows how two transformations combine into one, and introduces the 2x2 matrix as a compact way of carrying out (and identifying) a transformation algebraically.
Awọn Afojusun
- Understand and use transformations of the plane including reflections in any line, rotations about any point, translations and enlargements
- Find and use combination of transformations
- Multiply a vector by a matrix to find the matrix for a given transformation of the plane
Àwòrán ọpọlọ
A ti ṣe àwòrán kókó yìí kí o lè rí bí àwọn èrò ṣe so pọ̀.
Ṣí àwòrán ọpọlọ nínú áàpù
Káàdì ìrántí
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Ṣe ìdánrawò káàdì wọ̀nyí nínú áàpù
Akọ̀wé Ẹ̀kọ́
Àkọsílẹ̀ Ẹ̀kọ́ Pípé wà lórí Ohun Èlò Green Bridge
Gba ohun èlò Green Bridge CBT sórí fóònù tàbí kọ̀mpútà rẹ fún gbogbo ilé ìkàwé IGCSE: ìwé ìdánwò àtijọ́, ìlànà ìdíwọ̀n, àwòrán èrò, káàdì ìkẹ́kọ̀ọ́ àti ẹ̀kọ́ ohùn.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Transformations. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- Which transformation does NOT preserve the size of a shape? A) Reflection B) Rotation C) Translation D) Enlargement Answer: D
- A point (4, -1) is rotated 180 degrees about the origin. What is its image? A) (4, 1) B) (-4, 1) C) (-4, -1) D) (1, -4) Answer: B
- Which of these fully describes a translation? A) The distance moved only B) The column vector C) The angle and direction D) The scale factor and centre Answer: B
- An enlargement has scale factor -3. Compared with the object, the image is: A) 3 times the size, same side of the centre B) 3 times the size, opposite side of the centre C) 1/3 the size, same side of the centre D) the same size, rotated 180 degrees Answer: B
- What single transformation does the matrix (1 0; 0 -1) represent? A) Reflection in the y-axis B) Reflection in the x-axis C) Rotation of 180 degrees about the origin D) Enlargement, scale factor -1 Answer: B
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Transformations? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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Gbogbo ohun ti o nilo lati ṣe dara julọ ninu JAMB, WAEC ati NECO.
