AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    Sex determination: Students should understand and use direct proportion and simple ratios in genetic crosses.

    Genetic crosses predict the proportions of offspring genotypes and phenotypes.

    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Genetic crosses predict the proportions of offspring genotypes and phenotypes. Direct proportion means that as the number of fertilisations increases, the expected number of offspring of a particular type increases in step with it. A simple ratio compares the expected numbers of different outcomes, such as 3:1 for a monohybrid cross between two heterozygotes or 1:1 for sex inheritance. To use these ideas, complete the cross, count the boxes for each outcome, then express the counts as a ratio in simplest form. For example, a cross giving three tall and one short outcome has a 3:1 ratio, so the probability of tall is 3 ÷ 4 = 0.75 or 75%. If 200 offspring are expected, the predicted number of tall plants is 0.75 × 200 = 150. Ratios describe expected proportions, not guaranteed results in every small family or sample.

    What earns the marks

    • Correctly counting the outcomes in a completed genetic cross before forming a ratio.
    • Expressing the outcome as a simple ratio in its lowest terms, for example 3:1 or 1:1.
    • Converting a ratio into a probability by dividing the number of favourable outcomes by the total number of outcomes.
    • Using direct proportion to predict expected numbers, for example multiplying the probability by the total number of offspring.
    • Recognising that expected ratios describe probability and may not match small observed samples exactly.
    • Maintaining correct genotype and phenotype labels when interpreting the ratio.

    Common mistakes and how to put them right

    • Reversing the ratio, such as writing 1:3 instead of 3:1.

      Put it right: State clearly which value refers to which phenotype and keep the order consistent.

    • Treating a 3:1 ratio as a guarantee that three-quarters of actual offspring must show the dominant phenotype.

      Put it right: It is an expected probability, and chance variation is larger in small samples.

    • Adding the parts of a ratio incorrectly when finding a probability.

      Put it right: The total number of outcomes is the sum of all parts, so 3:1 gives four equal parts.

    Exam tips

    • Write the ratio and then convert it to a fraction or decimal before calculating predicted numbers.
    • Show each step of a proportion calculation so method marks can be awarded even if the final value is wrong.
    • Check that the ratio is in simplest form and that the order of the ratio matches the order requested in the question.

    Try the lesson

    The start of the Sex determination: Students should understand and use direct proportion and simple ratios in genetic crosses. lesson, made from checked teaching notes for this specification point.

    Have a go first

    In a genetic cross between a female (XX) and a male (XY), what is the expected ratio of female to male offspring?

    Listen

    Genetic crosses predict the proportions of offspring genotypes and phenotypes. Direct proportion means that as the number of fertilisations increases, the expected number of offspring of a particular type increases in step with it. A simple ratio compares the expected numbers of different outcomes, such as 3:1 for a monohybrid cross between two heterozygotes or 1:1 for sex inheritance. To use these ideas, complete the cross, count the boxes for each outcome, then express the counts as a ratio in simplest form. For example, a cross giving three tall and one short outcome has a 3:1 ratio, so the probability of tall is 3 ÷ 4 = 0.75 or 75%. If 200 offspring are expected, the predicted number of tall plants is 0.75 × 200 = 150. Ratios describe expected proportions, not guaranteed results in every small family or sample. A strong answer earns marks for these points. Correctly counting the outcomes in a completed genetic cross before forming a ratio. Expressing the outcome as a simple ratio in its lowest terms, for example 3:1 or 1:1. Converting a ratio into a probability by dividing the number of favourable outcomes by the total number of outcomes. Using direct proportion to predict expected numbers, for example multiplying the probability by the total number of offspring. A common slip: Reversing the ratio, such as writing 1:3 instead of 3:1. Instead, state clearly which value refers to which phenotype and keep the order consistent. Exam tip: Write the ratio and then convert it to a fraction or decimal before calculating predicted numbers.

    See it

    A flowchart running from top to bottom. The first box says 'Complete the genetic cross' and points to 'Count the boxes for each outcome'. That points to 'Express the counts as a simple ratio in simplest form', which points to 'Convert the ratio into a probability: favourable outcomes ÷ total outcomes'. This points to 'Use direct proportion: multiply the probability by the total number of offspring', which points to 'Predicted expected numbers'. The final box says 'Expected ratios describe probability and may not match small observed samples exactly'.
    The sequence of steps from completing a genetic cross to predicting expected offspring numbers, ending with the reminder that expected ratios are probabilities.

    Put it in order

    Put these steps in the order they happen.

    1. 1. Count the boxes for each outcome
    2. 2. Express the counts as a simple ratio in simplest form
    3. 3. Convert the ratio into a probability: favourable outcomes ÷ total outcomes
    4. 4. Use direct proportion: multiply the probability by the total number of offspring
    5. 5. Predicted expected numbers
    6. 6. Expected ratios describe probability and may not match small observed samples exactly
    7. 7. Complete the genetic cross

    Key words

    Say what each word means before you turn the card.

    Direct proportion

    Try answering aloud or in your head before turning the card.

    Simple ratio

    Try answering aloud or in your head before turning the card.

    Probability

    Try answering aloud or in your head before turning the card.

    Expected ratios

    Try answering aloud or in your head before turning the card.

    See every definition
    Direct proportion
    As the number of fertilisations increases, the expected number of offspring of a particular type increases in step with it.
    Simple ratio
    Compares the expected numbers of different outcomes, such as 3:1 for a monohybrid cross between two heterozygotes or 1:1 for sex inheritance.
    Probability
    Found by dividing the number of favourable outcomes by the total number of outcomes, so a 3:1 ratio gives 3 ÷ 4 = 0.75 or 75%.
    Expected ratios
    Describe probability and may not match small observed samples exactly, as chance variation is larger in small samples.

    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 running from top to bottom. The first box says 'Complete the genetic cross' and points to 'Count the boxes for each outcome'. That points to 'Express the counts as a simple ratio in simplest form', which points to 'Convert the ratio into a probability: favourable outcomes ÷ total outcomes'. This points to 'Use direct proportion: multiply the probability by the total number of offspring', which points to 'Predicted expected numbers'. The final box says 'Expected ratios describe probability and may not match small observed samples exactly'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

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