Mathematics (9-1) - 0980 CIE

Proportion

Akopọ

Proportion describes how two quantities change together. In direct proportion, doubling one doubles the other; in inverse proportion, doubling one halves the other. Writing these relationships with algebra lets you find any unknown value precisely.

In this lesson (Extended tier) you will express direct and inverse proportion in algebraic form, find the constant of proportionality, and use the relationship to calculate unknown quantities.

Awọn Afojusun

  1. Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities.

Akọ̀wé Ẹ̀kọ́

Many science and real-world laws are statements of proportion. Turning 'y is proportional to x' into an equation lets you predict exact values rather than just describe a trend.

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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. Find k. A. 4 B. 9 C. 15 D. 36 Answer: A
  2. Using y = 4x, find y when x = 7. A. 11 B. 21 C. 28 D. 47 Answer: C
  3. y is inversely proportional to x, and y = 6 when x = 2. Find k. A. 3 B. 4 C. 8 D. 12 Answer: D
  4. Using y = 12/x, find y when x = 4. A. 3 B. 4 C. 8 D. 48 Answer: A
  5. In inverse proportion, as x increases, y: A. increases B. decreases C. stays the same D. doubles 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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