Mathematics Specification A - 4MA1 PearsonEdexcel

Proportion

Akopọ

When two quantities are linked so that changing one always changes the other in a predictable way, we say they are in proportion. This Higher-tier topic builds on the ratio and proportion work from Foundation by introducing algebraic equations for direct and inverse relationships.

You will learn to set up proportionality equations using a constant of proportionality, solve problems involving direct and inverse proportion (including squared and cubed relationships), and connect the algebra to the shape of the corresponding graph.

Awọn Afojusun

  1. [Higher] Set up problems involving direct or inverse proportion and relate algebraic solutions to graphical representation of the equations

Akọ̀wé Ẹ̀kọ́

The fuel cost for a journey doubles when the distance doubles. The time to fill a pool halves when you use twice as many hoses. These two patterns, direct and inverse proportion, have distinct algebraic forms that examiners test at Higher tier.

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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. If y is directly proportional to x, which graph shows this? A) A straight line through the origin B) A curve through the origin C) A straight line not through the origin D) A horizontal line Answer: A
  2. y is inversely proportional to x. When x = 5, y = 4. What is y when x = 10? A) 8 B) 2 C) 20 D) 1 Answer: B
  3. y is proportional to x squared. When x = 3, y = 18. What is k? A) 6 B) 2 C) 9 D) 3 Answer: B
  4. Which equation represents inverse proportion? A) y = kx B) y = k/x C) y = kx + c D) y = k + x Answer: B
  5. y is inversely proportional to the square root of x. When x = 4, y = 6. Find y when x = 16. A) 3 B) 12 C) 1.5 D) 24 Answer: A

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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