Mathematics - International - 0607 CIE

Proportion

Akopọ

Two quantities are in proportion when they grow or shrink together in a fixed way. Double the recipe and you double every ingredient; share a job among more workers and it takes less time each. Recognising and writing these relationships lets you predict one quantity from another with a single constant.

In this lesson you will express direct and inverse proportion in algebra, find the constant of proportionality and use it to find unknown values. You will also learn to look at a table of data and decide which model fits best, whether the link is direct, inverse, or based on a square.

Awọn Afojusun

  1. Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities.
  2. Identify the best variation model for given data.

Akọ̀wé Ẹ̀kọ́

Proportion is one of the most useful modelling ideas in all of mathematics. Cooking, currency conversion, scaling drawings, mixing chemicals and physics laws such as pressure and volume all rest on it. Once you can write a relationship as a proportion and find its constant, you can answer any what if question about it instantly.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Proportion. 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.

  1. y is directly proportional to x, and y = 12 when x = 3. What is y when x = 5? A. 15 B. 20 C. 24 D. 60 Answer: B
  2. y is inversely proportional to x, and y = 6 when x = 2. What is y when x = 4? A. 2 B. 3 C. 8 D. 12 Answer: B
  3. For a direct proportion y = kx, which quantity stays constant? A. x y B. y/x C. y/x^2 D. x + y Answer: B
  4. For data with x: 1, 2, 3 and y: 3, 12, 27, which model fits? A. y = 3x B. y = 3/x C. y = 3x^2 D. y = x + 2 Answer: C
  5. Which describes inverse proportion? A. y increases as x increases at a constant rate B. y decreases as x increases, with xy constant C. y equals x squared D. y is always equal to x Answer: B

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Proportion? 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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