AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    Students should be able to use direct proportion and simple ratios to…

    Full specification wording

    Genetic inheritance: Students should be able to use direct proportion and simple ratios to express the outcome of a genetic cross.

    The outcome of a genetic cross can be expressed as a ratio or as a proportion.

    Checked against the AQA 8464 specification (opens in a new tab) on .

    • Point 18 of 20
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The outcome of a genetic cross can be expressed as a ratio or as a proportion. In a monohybrid cross between two heterozygotes (Aa × Aa), the genotype ratio is 1 AA : 2 Aa : 1 aa, which simplifies to 1:2:1, and the phenotype ratio for a dominant trait is 3 dominant : 1 recessive. Direct proportion converts these ratios into fractions or percentages of the total: 1:2:1 means 1/4 AA, 1/2 Aa and 1/4 aa, while 3:1 means 3/4 dominant and 1/4 recessive. To use direct proportion, add the parts of the ratio to find the total, then divide each part by the total. For example, in a ratio of 3:1 the total is 4, so the proportions are 3/4 and 1/4. Ratios compare parts to parts, whereas proportions compare a part to the whole.

    What earns the marks

    • A genetic cross outcome can be written as a ratio comparing the numbers of each genotype or phenotype, such as 1:2:1 or 3:1.
    • Direct proportion converts a ratio into a fraction or percentage of the total by adding the parts to find the total and dividing each part by that total.
    • For Aa × Aa, the genotype ratio 1:2:1 gives proportions of 1/4 AA, 1/2 Aa and 1/4 aa, and the dominant phenotype proportion is 3/4.
    • Ratios compare parts with parts, while proportions compare a part with the whole, so the same cross can be expressed in either form.
    • Expected ratios describe large numbers of offspring; actual small samples may differ because fertilisation is random.

    Common mistakes and how to put them right

    • Writing the phenotype ratio as 1:2:1 instead of 3:1 when dominance makes AA and Aa look the same.

      Put it right: Group genotypes by phenotype before writing the ratio.

    • Adding the ratio parts incorrectly, for example treating 3:1 as 3/1 rather than 3/4 and 1/4.

      Put it right: Add the parts to find the total, then divide each part by the total.

    • Mixing up ratio and proportion, such as saying the proportion of recessive offspring is 1:4.

      Put it right: Write proportions as fractions, decimals or percentages, not with a colon.

    Exam tips

    • Show the total number of parts when converting a ratio to a proportion so the examiner can follow your method.
    • Label ratios clearly as genotype or phenotype, because the same cross can give 1:2:1 and 3:1.
    • Check whether the question asks for a ratio, a fraction or a percentage, and answer in that form.

    Try the lesson

    The start of the Genetic inheritance: Students should be able to use direct proportion and simple ratios to express the outcome of a genetic cross. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A genetic cross gives 3 dominant to 1 recessive. What fraction of the offspring are expected to show the recessive phenotype?

    Listen

    The outcome of a genetic cross can be expressed as a ratio or as a proportion. In a monohybrid cross between two heterozygotes (Aa × Aa), the genotype ratio is 1 AA : 2 Aa : 1 aa, which simplifies to 1:2:1, and the phenotype ratio for a dominant trait is 3 dominant : 1 recessive. Direct proportion converts these ratios into fractions or percentages of the total: 1:2:1 means 1/4 AA, 1/2 Aa and 1/4 aa, while 3:1 means 3/4 dominant and 1/4 recessive. To use direct proportion, add the parts of the ratio to find the total, then divide each part by the total. For example, in a ratio of 3:1 the total is 4, so the proportions are 3/4 and 1/4. Ratios compare parts to parts, whereas proportions compare a part to the whole. A strong answer earns marks for these points. A genetic cross outcome can be written as a ratio comparing the numbers of each genotype or phenotype, such as 1:2:1 or 3:1. Direct proportion converts a ratio into a fraction or percentage of the total by adding the parts to find the total and dividing each part by that total. For Aa × Aa, the genotype ratio 1:2:1 gives proportions of 1/4 AA, 1/2 Aa and 1/4 aa, and the dominant phenotype proportion is 3/4. Ratios compare parts with parts, while proportions compare a part with the whole, so the same cross can be expressed in either form. A common slip: Writing the phenotype ratio as 1:2:1 instead of 3:1 when dominance makes AA and Aa look the same. Instead, group genotypes by phenotype before writing the ratio. Exam tip: Show the total number of parts when converting a ratio to a proportion so the examiner can follow your method.

    See it

    A flowchart starting with the Aa × Aa cross, which leads to the genotype ratio 1 AA : 2 Aa : 1 aa. This simplifies to 1:2:1, and grouping by phenotype gives the phenotype ratio 3 dominant : 1 recessive. Both ratios lead to a step where the parts are added to find the total, then to a step dividing each part by the total. This produces two outcomes: genotype proportions of 1/4 AA, 1/2 Aa and 1/4 aa, and a dominant phenotype proportion of 3/4 with recessive 1/4.
    It shows how the Aa × Aa cross gives a genotype ratio of 1:2:1 and a phenotype ratio of 3:1, and how direct proportion converts these ratios into fractions of the total.

    Key words

    Say what each word means before you turn the card.

    Ratio

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    Proportion

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    Direct proportion

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    Expected ratios

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    See every definition
    Ratio
    A way of comparing parts with parts, such as the numbers of each genotype or phenotype in a genetic cross.
    Proportion
    A comparison of a part with the whole, written as a fraction, decimal or percentage rather than with a colon.
    Direct proportion
    A method that converts a ratio into a fraction or percentage of the total by adding the parts to find the total and dividing each part by that total.
    Expected ratios
    Ratios that describe large numbers of offspring, while actual small samples may differ because fertilisation is random.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A flowchart starting with the Aa × Aa cross, which leads to the genotype ratio 1 AA : 2 Aa : 1 aa. This simplifies to 1:2:1, and grouping by phenotype gives the phenotype ratio 3 dominant : 1 recessive. Both ratios lead to a step where the parts are added to find the total, then to a step dividing each part by the total. This produces two outcomes: genotype proportions of 1/4 AA, 1/2 Aa and 1/4 aa, and a dominant phenotype proportion of 3/4 with recessive 1/4.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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