Mathematics - International - 0607 CIE

Proportion

Bayani Gaba-gaba

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.

Manufura

  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.

Takardar Darasi

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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Nazarin Darasi

Barka da kammala darasi akan Proportion. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  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

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Proportion? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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