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Answer key · Unit 6

Cell division.

Each lesson’s practice questions, their correct answers and the mistakes they spot. Answers read off the Scene use the same setting the learner sees.

Lesson 1 of 5 · About 20 minutes

The cell cycle

Why cells divide, what a cell does before it divides, how to count chromosomes and chromatids, and why the two daughter cells match the mother cell.

Open the lesson

The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    Why cells divide

    Practice · Choose

    Question

    Every day your body carries out billions of mitotic divisions. Which of these is mitosis not used for?

    Correct answer

    • Correct Making sperm and eggs

    Setup, choices and feedback

    The Scene at this step

    Stage
    5 %
    Chromosome pairs
    4
    Show the spindle
    Off

    Choices

    Shown in a random order.

    • Correct Making sperm and eggs

    • Wrong A child’s growth

      Misconception: Thinks sperm and eggs are made by mitosis.

      Feedback from the catalogue

      Mitosis makes cells identical to the mother cell, with 2n2n⁠ chromosomes: for growth, for healing wounds and for replacing worn-out cells. Sex cells are made by meiosis, which divides twice and leaves each cell with nn⁠ chromosomes, one copy of each pair. If eggs and sperm were made by mitosis, the number of chromosomes would double every generation.

    • Wrong Closing a cut in the skin

      Misconception: Thinks sperm and eggs are made by mitosis.

      Feedback from the catalogue

      Mitosis makes cells identical to the mother cell, with 2n2n⁠ chromosomes: for growth, for healing wounds and for replacing worn-out cells. Sex cells are made by meiosis, which divides twice and leaves each cell with nn⁠ chromosomes, one copy of each pair. If eggs and sperm were made by mitosis, the number of chromosomes would double every generation.

    • Wrong Replacing worn-out cells of the gut lining

      Misconception: Thinks sperm and eggs are made by mitosis.

      Feedback from the catalogue

      Mitosis makes cells identical to the mother cell, with 2n2n⁠ chromosomes: for growth, for healing wounds and for replacing worn-out cells. Sex cells are made by meiosis, which divides twice and leaves each cell with nn⁠ chromosomes, one copy of each pair. If eggs and sperm were made by mitosis, the number of chromosomes would double every generation.

    Feedback for a right answer

    Sex cells are made by meiosis, which leaves them half the chromosomes. Everything else, growth, healing and replacement, needs cells exactly like the cell they came from, and that is what mitosis gives.

    Hint

    Mitosis makes cells identical to the mother cell. Which of these cells should not be identical?

    Worked solution

    1. Mitosis makes two cells from one, with exactly the same chromosomes.
    2. Growth, healing and replacing cells need exactly that: more cells of the same kind.
    3. A sex cell needs only one copy of each pair, so that fertilisation gives a full number again. So it is made by meiosis.
  2. Step 2 of 5

    Open this step

    Counting chromosomes

    Practice · Calculate

    Question

    The cell in the Scene has 44⁠ pairs of chromosomes, like a fruit fly, and it is in prophase: the chromosomes have coiled into X shapes. How many chromosomes does the cell hold?

    Correct answer

    8 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    22 %fixed
    Chromosome pairs
    4fixed
    Show the spindle
    Off
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Chromosomes in each cell, counted by centromeres (sisters count as two once they part)/nodes/cell/outputs/chromosomes

    Wrong answers it recognises

    • 4 ± 0.1

      Misconception: Counts the homologous pairs as the number of chromosomes.

      Feedback from the catalogue

      A homologous pair is two chromosomes: one from the mother and one from the father, the same size and with the same genes. In the Scene they are marked in two colours. A fruit fly has 44⁠ pairs, that is 88⁠ chromosomes, 2n=82n = 8⁠. A human has 2323⁠ pairs, 4646⁠ chromosomes.

    • 16 ± 0.1

      Misconception: Counts each chromatid of an X-shaped chromosome as a chromosome of its own.

      Feedback from the catalogue

      An X shape is one chromosome that has already been copied: two identical sister chromatids joined at a centromere. Chromosomes are counted by their centromeres, so one X is one chromosome, holding two DNA molecules. Only in anaphase, when the sisters part and each gets a centromere of its own, does each one count as a chromosome.

    Feedback for a right answer

    44⁠ pairs, 88⁠ chromosomes: 2n=82n = 8⁠. Count them in the Scene: four pink from the mother and four blue from the father.

    Hint

    Each pair has one chromosome from the mother and one from the father.

    Worked solution

    1. A homologous pair is two chromosomes.
    2. 44⁠ pairs: 4×2=84 \times 2 = 8⁠ chromosomes.
    3. That is the diploid number, 2n=82n = 8⁠.

    If you answered 44⁠, you counted pairs. If you answered 1616⁠, you counted each chromatid as a chromosome.

  3. Step 3 of 5

    Open this step

    Copied in advance

    Practice · Calculate

    Question

    The cell copied its DNA in interphase, and now it is dividing. How many DNA molecules, that is chromatids, does it hold?

    Correct answer

    16 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    22 %fixed
    Chromosome pairs
    4fixed
    Show the spindle
    Off
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    DNA molecules (chromatids) in each cell/nodes/cell/outputs/chromatids

    Wrong answers it recognises

    • 8 ± 0.1

      Misconception: Thinks the DNA is copied during mitosis itself, so a cell in interphase holds single, uncopied chromosomes.

      Feedback from the catalogue

      The DNA is copied before mitosis, in the S phase of interphase. When mitosis begins, every chromosome is already two sister chromatids. So a fruit-fly cell ready to divide holds 88⁠ chromosomes but 1616⁠ DNA molecules. Mitosis itself only shares out what was already copied.

    • 4 ± 0.1

      Misconception: Counts the homologous pairs as the number of chromosomes.

      Feedback from the catalogue

      A homologous pair is two chromosomes: one from the mother and one from the father, the same size and with the same genes. In the Scene they are marked in two colours. A fruit fly has 44⁠ pairs, that is 88⁠ chromosomes, 2n=82n = 8⁠. A human has 2323⁠ pairs, 4646⁠ chromosomes.

    Feedback for a right answer

    88⁠ chromosomes, each two sister chromatids: 1616⁠. That is why the chromosomes look like an X in prophase.

    Hint

    After copying, how many chromatids is each chromosome made of?

    Worked solution

    1. The cell has 88⁠ chromosomes.
    2. The DNA was copied in interphase, so each chromosome is two chromatids.
    3. 8×2=168 \times 2 = 16⁠ DNA molecules.

    If you answered 88⁠, you thought the DNA is copied only during division itself.

  4. Step 4 of 5

    Open this step

    One becomes two

    Practice · Reach the target

    Question

    Move Stage until the tightening ring closes the cell off completely, and the Scene holds two separate cells. Press Check.

    Goal

    • 2 ± 0.1

      At the start of the step: 1

    Setup, choices and feedback

    The Scene at this step

    Stage
    42 %
    Chromosome pairs
    4
    Show the spindle
    Off
    Read from the Scene at
    Separate cells once the ring has pinched them apart: 1, 2, or 4 after meiosis/nodes/cell/outputs/cells

    One setting that reaches it

    Stage
    97 %
    Chromosome pairs
    1

    Feedback for a right answer

    Two daughter cells, each with a nucleus of its own, at half the mother cell’s volume. Now each will grow, copy its DNA, and be able to divide again: that is the cell cycle.

    Feedback for a wrong answer

    Not yet. Even when the cell looks almost cut in two, it is still one cell until the ring closes.

    Hint

    Splitting the cell itself, cytokinesis, comes last.

    Worked solution

    1. Division starts in the nucleus: prophase, metaphase, anaphase and telophase.
    2. Only after that, in cytokinesis, a ring of proteins tightens round the cell’s equator.
    3. Move Stage almost to the end, above 97%, until the ring closes.
  5. Step 5 of 5

    Open this step

    The daughters

    Practice · Calculate

    Question

    Now the cell has 33⁠ pairs, like a mosquito, and the division is over. How many chromosomes are in each of the two daughter cells?

    Correct answer

    6 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    100 %fixed
    Chromosome pairs
    3fixed
    Show the spindle
    On
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Chromosomes in each cell, counted by centromeres (sisters count as two once they part)/nodes/cell/outputs/chromosomes

    Wrong answers it recognises

    • 3 ± 0.1

      Misconception: Thinks each daughter of mitosis gets half the parent's chromosomes.

      Feedback from the catalogue

      Mitosis keeps the number. Before division every chromosome was copied, and in anaphase the two sisters of each chromosome are pulled to opposite poles. So each daughter gets one copy of every chromosome: the same 2n2n⁠ chromosomes as the mother cell, exactly the same information. What is split in two is the copied DNA, not the number of chromosomes.

    • 12 ± 0.1

      Misconception: Thinks the chromosome count in the cell stays 2n during anaphase.

      Feedback

      The mother cell holds 1212⁠ chromosomes only in anaphase, when the sisters part. When the cell pinches in two, they are shared half and half between the two cells.

    Feedback for a right answer

    66⁠ in each cell, as in the mother cell: 2n=62n = 6⁠. Mitosis does not change the number of chromosomes, and the two daughters are identical to each other and to the cell they came from.

    Hint

    How many chromosomes did the mother cell have, before dividing?

    Worked solution

    1. The mother cell has 33⁠ pairs, that is 66⁠ chromosomes, each two chromatids.
    2. In anaphase the two sisters of each chromosome are pulled to opposite poles.
    3. Each daughter gets one sister of every chromosome: 66⁠ chromosomes.

    If you answered 33⁠, you thought mitosis halves the number of chromosomes. That happens only in meiosis.

Lesson 2 of 5 · About 25 minutes

Mitosis step by step

The five phases of mitosis by what you see in the cell: prophase, metaphase, anaphase, telophase and cytokinesis, and how many chromosomes the cell holds in each.

Open the lesson

The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    Prophase

    Practice · Reach the target

    Question

    Move Stage to metaphase: the chromosomes are lined up along the cell’s equator, and spindle fibres reach them from both poles. Press Check.

    Goal

    • 2 ± 0.1

      At the start of the step: 0

    Setup, choices and feedback

    The Scene at this step

    Stage
    0 %
    Chromosome pairs
    4
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Read from the Scene at
    Mitosis: 0 interphase, 1 prophase, 2 metaphase, 3 anaphase, 4 telophase, 5 cytokinesis; meiosis: 0 interphase, 1–4 prophase I to telophase I, 5–8 prophase II to telophase II/nodes/cell/outputs/phase

    One setting that reaches it

    Stage
    30 %
    Chromosome pairs
    1

    Feedback for a right answer

    At metaphase every chromosome is tied by fibres to both poles, one sister to each. The cell checks they are all attached, and only then goes on.

    Feedback for a wrong answer

    Not yet. Look for the moment when all the chromosomes stand in one line across the middle.

    Hint

    First the chromosomes coil into X shapes and the nucleus breaks up. Only after that do they line up.

    Worked solution

    1. Interphase: loose threads in the nucleus.
    2. Prophase: the chromosomes coil into X shapes, the nucleus breaks up and the centrosomes move to the poles.
    3. Metaphase: the chromosomes in a line on the equator. That happens roughly between 30% and 46% of Stage.
  2. Step 2 of 5

    Open this step

    Metaphase

    Practice · Predict, then look

    Question

    The chromosomes are lined up on the equator. What will happen next?

    Correct answer

    • Correct Each X will split, and its two sisters will be dragged to opposite poles

    Setup, choices and feedback

    The Scene at this step

    Stage
    42 %fixed
    Chromosome pairs
    4
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes

    Choices

    • Correct Each X will split, and its two sisters will be dragged to opposite poles

    • Wrong The mother’s and the father’s chromosome of each pair will be pulled apart

      Feedback

      That is what happens in the first division of meiosis. In mitosis each chromosome splits into its two sisters, so each daughter gets both the pink and the blue.

    • Wrong The cell will pinch in two at once

      Misconception: Thinks each daughter of mitosis gets half the parent's chromosomes.

      Feedback from the catalogue

      Mitosis keeps the number. Before division every chromosome was copied, and in anaphase the two sisters of each chromosome are pulled to opposite poles. So each daughter gets one copy of every chromosome: the same 2n2n⁠ chromosomes as the mother cell, exactly the same information. What is split in two is the copied DNA, not the number of chromosomes.

    Once the prediction is locked in, the Scene changes

    Stage
    55 %fixed

    The Scene then shows: 3 · Mitosis: 0 interphase, 1 prophase, 2 metaphase, 3 anaphase, 4 telophase, 5 cytokinesis; meiosis: 0 interphase, 1–4 prophase I to telophase I, 5–8 prophase II to telophase II/nodes/cell/outputs/phase

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    Anaphase: the centromere of every chromosome comes apart, and the spindle fibres shorten and pull each sister to its pole. A full set gathers at each pole.

    Hint

    Each X is two identical chromatids. Each daughter needs one copy of each.

    Worked solution

    1. At metaphase every chromosome is tied to both poles, a sister to each side.
    2. In anaphase the link between the sisters lets go, and the fibres pull them to opposite poles.
    3. After the reveal the Scene is at phase 33⁠, anaphase.

    Separating homologous pairs belongs to meiosis, not mitosis.

  3. Step 3 of 5

    Open this step

    Anaphase

    Practice · Calculate

    Question

    The cell has 33⁠ pairs, 2n=62n = 6⁠, and it is in the middle of anaphase. How many chromosomes does the whole cell hold at this moment?

    Correct answer

    12 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    55 %fixed
    Chromosome pairs
    3fixed
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Chromosomes in each cell, counted by centromeres (sisters count as two once they part)/nodes/cell/outputs/chromosomes

    Wrong answers it recognises

    • 6 ± 0.1

      Misconception: Thinks the chromosome count in the cell stays 2n during anaphase.

      Feedback from the catalogue

      In anaphase every chromosome splits: the two sister chromatids part, and each now has a centromere of its own, so each is a chromosome. Until the cell pinches in two it therefore holds twice as many chromosomes, 4n4n⁠. A human cell in anaphase holds 9292⁠ chromosomes, and each of the two daughters, once it has split, 4646⁠.

    • 3 ± 0.1

      Misconception: Thinks each daughter of mitosis gets half the parent's chromosomes.

      Feedback from the catalogue

      Mitosis keeps the number. Before division every chromosome was copied, and in anaphase the two sisters of each chromosome are pulled to opposite poles. So each daughter gets one copy of every chromosome: the same 2n2n⁠ chromosomes as the mother cell, exactly the same information. What is split in two is the copied DNA, not the number of chromosomes.

    Feedback for a right answer

    1212⁠: each of the 66⁠ chromosomes has split into two sisters, each now with a centromere of its own. There are 66⁠ at each pole, and once the cell pinches in two, 66⁠ in each daughter.

    Hint

    Chromosomes are counted by their centromeres. How many centromeres are there once each X has split?

    Worked solution

    1. Before anaphase: 66⁠ chromosomes, each two chromatids, 1212⁠ chromatids.
    2. In anaphase each chromatid gets a centromere of its own and becomes a chromosome.
    3. In the whole cell: 1212⁠ chromosomes, 66⁠ at each pole.

    If you answered 66⁠, you counted as if the sisters were still joined.

  4. Step 4 of 5

    Open this step

    Telophase

    Practice · Reach the target

    Question

    Move Stage to telophase: at each pole a new nuclear envelope forms round the set that arrived there, and the chromosomes begin to loosen. Press Check.

    Goal

    • 4 ± 0.1

      At the start of the step: 3

    Setup, choices and feedback

    The Scene at this step

    Stage
    55 %
    Chromosome pairs
    4
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Read from the Scene at
    Mitosis: 0 interphase, 1 prophase, 2 metaphase, 3 anaphase, 4 telophase, 5 cytokinesis; meiosis: 0 interphase, 1–4 prophase I to telophase I, 5–8 prophase II to telophase II/nodes/cell/outputs/phase

    One setting that reaches it

    Stage
    62 %
    Chromosome pairs
    1

    Feedback for a right answer

    Two nuclei in one cell: the nucleus has divided, and the cell not yet. Cytokinesis begins right after.

    Feedback for a wrong answer

    Not yet. Look for two whole nuclei, one at each side, in a cell not yet cut in two.

    Hint

    Telophase comes after the sisters reach the poles, and before the cell pinches in two.

    Worked solution

    1. Anaphase: the sisters are dragged to the poles.
    2. Telophase: a nuclear envelope is built round each set, and the chromosomes loosen.
    3. That happens roughly between 62% and 78% of Stage.
  5. Step 5 of 5

    Open this step

    A human cell

    Practice · Calculate

    Question

    A human skin cell holds 4646⁠ chromosomes, 2323⁠ pairs. It divides by mitosis. How many chromosomes will each daughter cell have?

    Correct answer

    46 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    100 %
    Chromosome pairs
    4
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Accepted within
    ± 0.1
    A fixed value in the question

    Wrong answers it recognises

    • 23 ± 0.1

      Misconception: Thinks each daughter of mitosis gets half the parent's chromosomes.

      Feedback from the catalogue

      Mitosis keeps the number. Before division every chromosome was copied, and in anaphase the two sisters of each chromosome are pulled to opposite poles. So each daughter gets one copy of every chromosome: the same 2n2n⁠ chromosomes as the mother cell, exactly the same information. What is split in two is the copied DNA, not the number of chromosomes.

    • 92 ± 0.1

      Misconception: Thinks the chromosome count in the cell stays 2n during anaphase.

      Feedback

      The cell holds 9292⁠ chromosomes only in anaphase. Once it splits, each daughter gets half of them.

    Feedback for a right answer

    4646⁠, as in the mother cell. Every cell in the body, apart from the sex cells and the red blood cells, which have no nucleus, carries the same 4646⁠ chromosomes, because they all came by mitosis from one fertilised egg.

    Hint

    What happens with 33⁠ or 44⁠ pairs in the Scene happens with 2323⁠ too.

    Worked solution

    1. Before division each of the 4646⁠ chromosomes was copied into two sisters.
    2. In anaphase the sisters part, 4646⁠ to each pole.
    3. Each daughter gets 4646⁠ chromosomes.

    If you answered 2323⁠, you mixed it up with meiosis, where the number of chromosomes is halved.

Lesson 3 of 5 · About 25 minutes

Meiosis

How sex cells are made: two divisions after one copying, homologous pairs that part, four haploid cells, and why no two sex cells are alike.

Open the lesson

The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    Half a set

    Practice · Choose

    Question

    Why do sex cells need only half the chromosomes?

    Correct answer

    • Correct So that at fertilisation, when egg and sperm join, a full number results again

    Setup, choices and feedback

    The Scene at this step

    Stage
    0 %
    Chromosome pairs
    4
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes

    Choices

    Shown in a random order.

    • Correct So that at fertilisation, when egg and sperm join, a full number results again

    • Wrong So that the cells are smaller and lighter

      Feedback

      The egg is one of the largest cells in the body. The reason is not size but arithmetic: what happens to the number of chromosomes at fertilisation.

    • Wrong They don’t: eggs and sperm hold 4646⁠ chromosomes, like every cell

      Misconception: Thinks a sperm or egg holds the full diploid set, 2n.

      Feedback from the catalogue

      A sex cell is haploid: it holds nn⁠ chromosomes, one of each pair. A human egg and sperm hold 2323⁠ chromosomes each, and at fertilisation they join into a fertilised egg with 4646⁠. That is how the number stays the same from generation to generation.

    Feedback for a right answer

    23+23=4623 + 23 = 46⁠. If each sex cell carried 4646⁠, the next generation would have 9292⁠, and the one after 184184⁠. Meiosis brings the number back to half, and fertilisation makes it whole.

    Hint

    What would happen to the number of chromosomes if an egg of 4646⁠ joined a sperm of 4646⁠?

    Worked solution

    1. At fertilisation the egg and sperm join into one cell, and their chromosomes add up.
    2. For the child to have 4646⁠, like the parents, each must give 2323⁠.
    3. So sex cells are made by meiosis, which leaves each cell one copy of each pair.
  2. Step 2 of 5

    Open this step

    The first division

    Practice · Calculate

    Question

    The cell has 44⁠ pairs, 2n=82n = 8⁠. The first division of meiosis is over, and there are now two cells. How many chromosomes are in each of them?

    Correct answer

    4 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    56 %fixed
    Chromosome pairs
    4fixed
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Chromosomes in each cell, counted by centromeres (sisters count as two once they part)/nodes/cell/outputs/chromosomes

    Wrong answers it recognises

    Feedback for a right answer

    44⁠: one from each pair, each still an X of two sisters. The number of chromosomes is halved already in the first division, which is why it is called the reduction division.

    Hint

    In the first division, what parts: the sisters, or the two chromosomes of each pair?

    Worked solution

    1. In prophase I the homologous chromosomes join up in pairs.
    2. In anaphase I the pairs part: one chromosome of each pair to each pole, and the sisters stay joined.
    3. In each cell: 44⁠ chromosomes, n=4n = 4⁠, each two chromatids.

    If you answered 88⁠, you thought the first division separates sisters, as mitosis does.

  3. Step 3 of 5

    Open this step

    The second division

    Practice · Predict, then look

    Question

    Meiosis runs to the end. How many cells will come from the cell that began it?

    Correct answer

    • Correct Four

    Setup, choices and feedback

    The Scene at this step

    Stage
    30 %fixed
    Chromosome pairs
    4
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes

    Choices

    • Correct Four

    • Wrong Two

      Misconception: Thinks meiosis is a single division that makes two cells.

      Feedback from the catalogue

      Meiosis is two divisions in a row, with one copying of the DNA before them. The first separates the homologous pairs, and the second separates the sister chromatids. So four cells come from one, each with nn⁠ chromosomes.

    • Wrong Eight

      Feedback

      Two divisions, not three: one cell makes two, and each of those makes two more.

    Once the prediction is locked in, the Scene changes

    Stage
    100 %fixed

    The Scene then shows: 4 · Separate cells once the ring has pinched them apart: 1, 2, or 4 after meiosis/nodes/cell/outputs/cells

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    Four cells, from two divisions. In a man all four become sperm. In a woman only one becomes an egg, and the other three, small ones, wither.

    Hint

    How many divisions are there in meiosis?

    Worked solution

    1. First division: the cell splits in two, and the homologous pairs part.
    2. Second division: each of the two cells splits again, and the sisters part.
    3. 2×2=42 \times 2 = 4⁠ cells. After the reveal the Scene shows 44⁠.
  4. Step 4 of 5

    Open this step

    The sex cells

    Practice · Calculate

    Question

    Meiosis is over. How many chromosomes are in each of the four cells?

    Correct answer

    4 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    100 %fixed
    Chromosome pairs
    4fixed
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Chromosomes in each cell, counted by centromeres (sisters count as two once they part)/nodes/cell/outputs/chromosomes

    Wrong answers it recognises

    Feedback for a right answer

    44⁠ in each cell, one from each pair, and now each a single chromatid. n=4n = 4⁠: half a body cell’s number.

    Hint

    The second division separates the two sisters of each X. Does it change the number of chromosomes in each cell?

    Worked solution

    1. After the first division: 44⁠ chromosomes in each cell, each two chromatids.
    2. In the second division the sisters part, one going to each cell.
    3. In each of the four cells: 44⁠ chromosomes, n=4n = 4⁠.

    If you answered 88⁠, you thought a sex cell holds a double set, like a body cell.

  5. Step 5 of 5

    Open this step

    New combinations

    Practice · Calculate

    Question

    A mosquito has 33⁠ pairs. At metaphase I each pair lines up one of two ways, pink on top or blue on top, regardless of the other pairs. How many different combinations of the mother’s and the father’s chromosomes can the sex cells get, leaving crossing over aside?

    Correct answer

    8 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Stage
    22 %
    Chromosome pairs
    3fixed
    Whole cell / Spindle and chromosomes
    Spindle and chromosomes
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Kinds of gamete independent assortment alone can make, 2 to the number of pairs (crossing over makes more)/nodes/cell/outputs/assortments

    Wrong answers it recognises

    • 6 ± 0.1

      Misconception: Adds the choices of the pairs instead of multiplying them when counting kinds of gamete.

      Feedback from the catalogue

      Each pair lines up at metaphase I one of two ways round, regardless of the other pairs, like a coin toss. So multiply: with 33⁠ pairs there are 2×2×2=23=82 \times 2 \times 2 = 2^3 = 8⁠ combinations, not 2+2+2=62 + 2 + 2 = 6⁠. In a human, with 2323⁠ pairs, there are 2232^{23}⁠, more than eight million kinds of sex cell, even before crossing over.

    • 3 ± 0.1

      Misconception: Adds the choices of the pairs instead of multiplying them when counting kinds of gamete.

      Feedback from the catalogue

      Each pair lines up at metaphase I one of two ways round, regardless of the other pairs, like a coin toss. So multiply: with 33⁠ pairs there are 2×2×2=23=82 \times 2 \times 2 = 2^3 = 8⁠ combinations, not 2+2+2=62 + 2 + 2 = 6⁠. In a human, with 2323⁠ pairs, there are 2232^{23}⁠, more than eight million kinds of sex cell, even before crossing over.

    Feedback for a right answer

    2×2×2=82 \times 2 \times 2 = 8⁠ combinations. In a human, with 2323⁠ pairs, 2232^{23}⁠: more than eight million. And with crossing over, which swaps stretches between the chromosomes of a pair, almost every sex cell is one of a kind.

    Hint

    It is like tossing 33⁠ coins: how many possible outcomes are there?

    Worked solution

    1. Each pair has two choices, independent of the other pairs.
    2. By the multiplication rule: 2×2×2=232 \times 2 \times 2 = 2^3⁠.
    3. 23=82^3 = 8⁠ combinations.

    If you answered 66⁠, you added the pairs’ choices instead of multiplying them.

Lesson 4 of 5 · About 20 minutes

Stem cells

From fertilised egg to blastocyst: cleavage divisions that do not grow the embryo, the inner cell mass, and totipotent, pluripotent and multipotent stem cells.

Open the lesson

The 5 steps and their answers
  1. Step 1 of 5

    Open this step

    Dividing without growing

    Practice · Predict, then look

    Question

    A fertilised egg divides into 1616⁠ cells over the first four days. What will happen to the size of the whole embryo?

    Correct answer

    • Correct It will stay about the size of the egg

    Setup, choices and feedback

    The Scene at this step

    Time since fertilisation
    0.5 daysfixed
    Cut open
    Whole embryofixed

    Choices

    • Correct It will stay about the size of the egg

    • Wrong It will grow 1616⁠ times, a new cell for each division

      Misconception: Thinks the early embryo grows as its cells divide.

      Feedback from the catalogue

      In its first days the embryo does not feed or grow: it is still inside the egg’s clear shell, with only what the egg held. Each division cuts the cells in two, so the cells get smaller and smaller and the whole embryo stays the size of the egg, about 0.14 mm. These divisions are called cleavage.

    • Wrong It will grow a little, about twice

      Misconception: Thinks the early embryo grows as its cells divide.

      Feedback from the catalogue

      In its first days the embryo does not feed or grow: it is still inside the egg’s clear shell, with only what the egg held. Each division cuts the cells in two, so the cells get smaller and smaller and the whole embryo stays the size of the egg, about 0.14 mm. These divisions are called cleavage.

    Once the prediction is locked in, the Scene changes

    Time since fertilisation
    4 daysfixed

    The Scene then shows: 0.14 mm · Greatest length of what is drawn: the ball to day 7, then the embryo/nodes/embryo/outputs/length

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    About 0.14 mm, as on the first day. The embryo does not feed yet, so each division just cuts the cells in two: 1616⁠ small cells instead of one large one.

    Hint

    What are the new cells made of? Does the embryo have anywhere to get material from?

    Worked solution

    1. The embryo is inside the clear shell, and has no source of food yet.
    2. Each division cuts a cell in two without it growing first: cleavage.
    3. So after four rounds there are 1616⁠ cells, each 116\frac{1}{16}⁠ of the egg’s volume, and the whole embryo is the same size.

    Only after it implants in the womb, and gets food from the mother’s blood, does it start to grow.

  2. Step 2 of 5

    Open this step

    Counting cells

    Practice · Calculate

    Question

    Three days after fertilisation. How many cells does the embryo in the Scene have?

    Correct answer

    8 ± 0.1

    Setup, choices and feedback

    The Scene at this step

    Time since fertilisation
    3 daysfixed
    Cut open
    Whole embryo
    Accepted within
    ± 0.1
    Computed from the Scene at this step’s setting
    Cells in the embryo while they are few enough to count, to day 7; 0 after/nodes/embryo/outputs/cells

    Wrong answers it recognises

    Feedback for a right answer

    88⁠ cells: three rounds of division, 1→2→4→81 \to 2 \to 4 \to 8⁠. On day four, after another round, they pack into a tight ball, the morula.

    Hint

    Count the cells inside the clear shell. Each round of division doubles them.

    Worked solution

    1. The fertilised egg is one cell.
    2. About once a day all the cells divide: 1,2,4,81, 2, 4, 8⁠.
    3. By day three three rounds have passed: 23=82^3 = 8⁠ cells.
  3. Step 3 of 5

    Open this step

    A hollow ball

    Practice · Reach the target

    Question

    Move Time since fertilisation until the embryo becomes a blastocyst: a hollow ball of cells, with a clump of inner cells at one side inside it. Press Check.

    Goal

    • 3 ± 0.1

      At the start of the step: 1

    Setup, choices and feedback

    The Scene at this step

    Time since fertilisation
    2 days
    Cut open
    Whole embryo
    Read from the Scene at
    0 fertilised egg, 1 cleavage, 2 morula, 3 blastocyst, 4 two-layer disc, 5 gastrulation, 6 neural tube, 7 body plan/nodes/embryo/outputs/stage

    One setting that reaches it

    Time since fertilisation
    4.5 days

    Feedback for a right answer

    A blastocyst, around day five. At this stage the embryo hatches from its shell and implants in the wall of the womb. The whole body will be built from the inner cell mass, and the placenta from the outer cells.

    Feedback for a wrong answer

    Not yet. Look for a cavity inside the ball.

    Hint

    First there is a morula, a solid ball. Then a cavity opens inside it.

    Worked solution

    1. Days 11⁠ to 33⁠: cleavage, 22⁠, 44⁠ and 88⁠ cells.
    2. Around day 44⁠: a morula, a solid, packed ball.
    3. From about day 4.54.5⁠ a cavity opens inside it: a blastocyst, with an inner cell mass at one side.
  4. Step 4 of 5

    Open this step

    What a cell can still become

    Practice · Predict, then look

    Question

    The cells of the blastocyst’s inner cell mass can become any kind of cell in the body, but not placenta. What are stem cells like that called?

    Correct answer

    • Correct Pluripotent

    Setup, choices and feedback

    The Scene at this step

    Time since fertilisation
    5.5 daysfixed
    Cut open
    Whole embryofixed

    Choices

    • Wrong Totipotent

      Misconception: Thinks every stem cell can become any kind of cell.

      Feedback from the catalogue

      Stem cells differ in what they can still become. The fertilised egg and the cells of the first days are totipotent: both the body and the placenta can come from them. The cells of the inner cell mass in the blastocyst are pluripotent: any cell type of the body, but not placenta. And adult stem cells, such as those in bone marrow, are multipotent: only a few related kinds, for instance the kinds of blood cell.

    • Correct Pluripotent

    • Wrong Multipotent

      Misconception: Thinks every stem cell can become any kind of cell.

      Feedback from the catalogue

      Stem cells differ in what they can still become. The fertilised egg and the cells of the first days are totipotent: both the body and the placenta can come from them. The cells of the inner cell mass in the blastocyst are pluripotent: any cell type of the body, but not placenta. And adult stem cells, such as those in bone marrow, are multipotent: only a few related kinds, for instance the kinds of blood cell.

    Once the prediction is locked in, the Scene changes

    Cut open
    Cut open, by fatefixed

    The Scene then shows: 2 · What the most versatile cells can still make: 3 totipotent, 2 pluripotent, 1 multipotent/nodes/embryo/outputs/potency

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    Pluripotent: they can make the whole body, but no longer the placenta, which the outer cells make. The embryonic stem cells grown in labs come from these cells.

    Hint

    Toti: everything, placenta included. Pluri: many. Multi: several.

    Worked solution

    1. Until about day four each cell can still make both body and placenta: totipotent.
    2. In the blastocyst the cells split up: the outer ones will make placenta, and the inner ones the body.
    3. A cell that can make any body cell but not placenta is pluripotent. After the reveal the Scene shows 22⁠ on the scale where 33⁠ is totipotent and 11⁠ multipotent.
  5. Step 5 of 5

    Open this step

    Stem cells in adults

    Practice · Choose

    Question

    Adult bone marrow holds stem cells that make billions of new blood cells every day: red, white and platelets. But they do not make nerve or skin cells. What kind of stem cells are they?

    Correct answer

    • Correct Multipotent

    Setup, choices and feedback

    The Scene at this step

    Time since fertilisation
    28 days
    Cut open
    Cut open, by fate

    Choices

    Shown in a random order.

    • Correct Multipotent

    • Wrong Pluripotent

      Misconception: Thinks every stem cell can become any kind of cell.

      Feedback from the catalogue

      Stem cells differ in what they can still become. The fertilised egg and the cells of the first days are totipotent: both the body and the placenta can come from them. The cells of the inner cell mass in the blastocyst are pluripotent: any cell type of the body, but not placenta. And adult stem cells, such as those in bone marrow, are multipotent: only a few related kinds, for instance the kinds of blood cell.

    • Wrong Totipotent

      Misconception: Thinks every stem cell can become any kind of cell.

      Feedback from the catalogue

      Stem cells differ in what they can still become. The fertilised egg and the cells of the first days are totipotent: both the body and the placenta can come from them. The cells of the inner cell mass in the blastocyst are pluripotent: any cell type of the body, but not placenta. And adult stem cells, such as those in bone marrow, are multipotent: only a few related kinds, for instance the kinds of blood cell.

    Feedback for a right answer

    Multipotent: one family of cells, the blood cells. By the end of the first month the embryo’s cells have narrowed their options like this too, which is what the Scene shows on day 2828⁠.

    Hint

    How many kinds of cell can they make: everything, many, or one family?

    Worked solution

    1. Totipotent: body and placenta. Only the fertilised egg and the first cells.
    2. Pluripotent: any body cell. The inner cell mass.
    3. Multipotent: a few related kinds. Bone-marrow stem cells make only blood cells, so they are multipotent.

    That is why a bone-marrow transplant can cure blood diseases, but cannot rebuild a damaged nerve.

Lesson 5 of 5 · About 25 minutes

When division runs wild

Cancer as cell division that has lost its controls one after another: brakes and accelerators, checkpoints that stop damaged DNA, a lump that recruits blood vessels, and the step that turns a benign tumour malignant.

Open the lesson

The 6 steps and their answers
  1. Step 1 of 6

    Open this step

    A lining that renews

    Practice · Choose

    Question

    Every cell has two copies of each gene. Why can one mutation in an accelerator gene already push the cell to divide, while a brake gene usually needs both copies broken?

    Correct answer

    • Correct An accelerator stuck on sends the signal to divide even when the other copy is fine, while one working copy of a brake is enough to stop

    Setup, choices and feedback

    The Scene at this step

    Mutations
    0
    Show the checkpoints
    Off

    Choices

    Shown in a random order.

    • Correct An accelerator stuck on sends the signal to divide even when the other copy is fine, while one working copy of a brake is enough to stop

    • Wrong Brake genes resist mutation better

      Feedback

      Mutations hit all genes about equally. The difference is what one broken copy does.

    • Wrong One mutation is enough in a brake too: any mutation makes the cell cancerous

      Misconception: Thinks a single mutation turns a cell into a cancer cell.

      Feedback from the catalogue

      One mutation is almost never enough. A cell has several separate controls: brakes, accelerators, checkpoints, even the need for blood vessels. Each mutation breaks one of them at most, so a cancer usually needs several mutations in the same lineage, piling up over years or decades. That is why it is mostly a disease of older age.

    • Wrong Accelerator genes have only one copy in the cell

      Feedback

      They have two copies too, one from each parent, like every gene on a chromosome that is not a sex chromosome.

    Feedback for a right answer

    A broken accelerator is like a stuck pedal: one is enough to make the car go, even if the other pedal is fine. A broken brake is like one of two brakes: the other still stops. So an oncogene acts in a single copy, and a tumour suppressor fails only when the second copy breaks too.

    Worked solution

    1. An accelerator passes on “divide”. A copy stuck on sends that signal all the time, whatever the other copy does: one copy is enough.
    2. A brake passes on “stop”. The working copy still makes a protein that stops: the cell is held.
    3. Only when the second copy breaks too is there no brake at all.
    4. That is why someone who inherits one broken copy of a brake, such as BRCA1 or APC, starts one step ahead.
  2. Step 2 of 6

    Open this step

    Checkpoints

    Practice · Predict, then look

    Question

    In the polyp, two mutations, many cells whose DNA was damaged are amber: held at a checkpoint. The third mutation breaks the p53 checkpoint. Predict what you will see when Mutations goes up to 33⁠.

    Correct answer

    • Correct The amber cells vanish, and red cells divide with their damaged DNA

    Setup, choices and feedback

    The Scene at this step

    Mutations
    2
    Show the checkpoints
    Onfixed

    Choices

    • Correct The amber cells vanish, and red cells divide with their damaged DNA

    • Wrong More amber cells: more damage, more halts

      Feedback

      There is more damage, but what halts a damaged cell is p53, and at this stage it is broken.

    • Wrong All the damaged cells destroy themselves

      Feedback

      Self-destruction is set off by the same p53. Without it, apoptosis stops too.

    Once the prediction is locked in, the Scene changes

    Mutations
    3

    The Scene then shows: 2 · 0 the tissue; looking inside: 1 the damage checkpoint still holds, 2 it is broken/nodes/tissue/outputs/checks

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    The amber cells and the brown fragments vanish, and red cells divide with their damage instead. Without the checkpoint every new error passes to the offspring, and the lump becomes unstable: its cells vary in size, the nuclei are large and dark, and new mutations pile up faster.

    Worked solution

    1. At the checkpoint, p53 halts a cell with damaged DNA and, if the damage is not repaired, sets off apoptosis.
    2. The third mutation breaks p53: both ways are closed.
    3. Damaged cells go on dividing: red instead of amber and brown.
    4. From here each further mutation comes faster, which is why TP53 is broken in about half of all tumours.
  3. Step 3 of 6

    Open this step

    The lump

    Practice · Calculate

    Question

    A lump of about a billion cells, 10910^9⁠, started from one cell whose offspring all kept dividing. How many doublings of the number of cells does it take to get from one cell to a billion?

    Correct answer

    29.9 ± 0.6

    Setup, choices and feedback

    The Scene at this step

    Mutations
    4fixed
    Show the checkpoints
    Off
    Accepted within
    ± 0.6
    Computed from the Scene at this step’s setting
    Doublings from one cell to the clone’s typical size, log2 of its cells (0 with no clone)/nodes/tissue/outputs/doublings

    Wrong answers it recognises

    • 1000000000 ± 10%

      Misconception: Gives the number of cells as the number of doublings it takes to make them.

      Feedback from the catalogue

      Each doubling multiplies the number of cells by 22⁠, so after nn⁠ doublings there are 2n2^n⁠ cells, not nn⁠. To find how many doublings it takes, ask how many times you must multiply by 22⁠: 210≈10002^{10} \approx 1000⁠, so every 1010⁠ doublings add a factor of a thousand.

    Feedback for a right answer

    About 3030⁠ doublings: 230≈1.07×1092^{30} \approx 1.07 \times 10^9⁠. It is a surprise: a lump a centimetre across, the smallest you can sometimes feel or see on a scan, is already three-quarters of the way. Just 1010⁠ more doublings make 101210^{12}⁠ cells, about a kilogram.

    Hint

    210=10242^{10} = 1024⁠, nearly a thousand. How many times must you multiply by a thousand to reach a billion?

    Worked solution

    1. After nn⁠ doublings there are 2n2^n⁠ cells. Look for nn⁠ with 2n=1092^n = 10^9⁠.
    2. 210≈1032^{10} \approx 10^3⁠, so 230=(210)3≈(103)3=1092^{30} = (2^{10})^3 \approx (10^3)^3 = 10^9⁠.
    3. n≈30n \approx 30⁠ (exactly, log⁡2109≈29.9\log_2 10^9 \approx 29.9⁠).

    If you answered a billion, you gave the number of cells, not the number of doublings.

  4. Step 4 of 6

    Open this step

    Benign or malignant

    Practice · Predict, then look

    Question

    The lump, four mutations, is already a centimetre across with its own blood vessels, and it is still benign. Predict what the fifth mutation changes, the one that makes it malignant.

    Correct answer

    • Correct Cells break through the basement membrane and push into the tissue below

    Setup, choices and feedback

    The Scene at this step

    Mutations
    4
    Show the checkpoints
    Offfixed

    Choices

    • Correct Cells break through the basement membrane and push into the tissue below

    • Wrong The lump grows much bigger

      Misconception: Thinks any tumour, or any big one, is a cancer.

      Feedback from the catalogue

      A tumour is any lump of cells that divide too much. It is benign as long as its cells stay on their own side of the basement membrane, however big it grows. It is malignant, a cancer, only when cells break through the membrane into the tissue below. Size does not decide it; breaking through does.

    • Wrong The cells divide faster

      Feedback

      Fast division is already there in the polyp and the lump, and both are benign. What sets malignant apart is invasion.

    Once the prediction is locked in, the Scene changes

    Mutations
    5

    The Scene then shows: 1 · 1 once cells have broken through the basement membrane, else 0/nodes/tissue/outputs/invasive

    A prediction is never marked as a failure: the learner sees the outcome and the explanation either way.

    Feedback for a right answer

    Breaking through. At 55⁠ mutations the cells cut the basement membrane and push into the connective tissue in strands and single cells, while the lump itself has hardly changed. A tumour that invades like this is malignant. That is why doctors examine a thin slice of a tumour under a microscope: only the section shows whether the membrane is breached.

    Worked solution

    1. Benign: the cells stay above the basement membrane, however big.
    2. Malignant: the cells invade through it into the neighbouring tissue.
    3. In the Scene, between 44⁠ and 55⁠, the clone stays at about a billion cells; what changes are the tongues of cells below the membrane.
    4. Cancer is defined by invasion, not size.
  5. Step 5 of 6

    Open this step

    Years in the making

    Practice · Choose

    Question

    Why do most cancers appear in older people?

    Correct answer

    • Correct It takes several mutations in the same cell lineage, and each one takes time to arise and spread through the clone

    Setup, choices and feedback

    The Scene at this step

    Mutations
    1
    Show the checkpoints
    Off

    Choices

    Shown in a random order.

    • Correct It takes several mutations in the same cell lineage, and each one takes time to arise and spread through the clone

    • Wrong Because over the years the chance grows that one cell gets the one mutation that causes cancer

      Misconception: Thinks a single mutation turns a cell into a cancer cell.

      Feedback from the catalogue

      One mutation is almost never enough. A cell has several separate controls: brakes, accelerators, checkpoints, even the need for blood vessels. Each mutation breaks one of them at most, so a cancer usually needs several mutations in the same lineage, piling up over years or decades. That is why it is mostly a disease of older age.

    • Wrong Because old cells divide faster

      Feedback

      The reverse: with age many cells divide more slowly. What grows with age is the number of mutations that have built up.

    • Wrong Because cancer is an inherited disease that wakes up in old age

      Feedback

      Most mutations behind a cancer arise in body cells during life. An inherited broken copy only moves things one step ahead.

    Feedback for a right answer

    Cancer is a series of steps. Each mutation that breaks a control has to arise by chance, and then the clone of its offspring has to grow big enough for the next mutation to arise inside it. Five or six such steps usually take decades.

    Worked solution

    1. In the Scene each mutation breaks one control: from a crowded patch, to a polyp, to an unstable lump, to blood vessels, to invasion and spread.
    2. Each step needs a new mutation in a cell that already carries the earlier ones.
    3. Mutations build up slowly, mostly with each division, so each step takes years.
    4. The longer you live, the more lineages have had time to go through all the steps.
  6. Step 6 of 6

    Open this step

    Stopping division

    Practice · Choose

    Question

    Many chemotherapy drugs jam the mitotic spindle and kill dividing cells. Why do they often cause hair loss and digestive trouble?

    Correct answer

    • Correct Hair follicles and the gut lining divide all the time too, so they are hit as well

    Setup, choices and feedback

    The Scene at this step

    Mutations
    6
    Show the checkpoints
    On

    Choices

    Shown in a random order.

    • Correct Hair follicles and the gut lining divide all the time too, so they are hit as well

    • Wrong The drugs are equally poisonous to every cell in the body

      Feedback

      If so, nerve and muscle cells, which hardly divide, would be hit just as hard. The damage gathers in tissues that divide.

    • Wrong Because the cancer has spread to the hair and gut

      Feedback

      The side effects appear even when the cancer has not reached them. They come from the drug, not the tumour.

    Feedback for a right answer

    The drug does not recognise cancer; it recognises division. The gut lining renews every few days, and hair follicles and bone marrow divide all the time, so they are hit along with the tumour. That is why newer treatments target the particular protein a mutation left stuck on, or help the immune system recognise the tumour.

    Worked solution

    1. A drug that jams the spindle hits every cell that is in mitosis.
    2. Cancer cells divide a lot, so they are hit a lot.
    3. Healthy tissues have cells that divide just as fast: the gut lining (as at the start of the Lesson), hair follicles and bone marrow.
    4. Hence hair loss, nausea and harm to blood cells are common side effects.

Across the unit · 15 misconceptions

Misconception catalogue

Each common mistake this unit recognises, in a few words. Open one for what the learner reads when an answer matches it, and where it is asked.

  • Counts the homologous pairs as the number of chromosomes.

    The learner reads

    A homologous pair is two chromosomes: one from the mother and one from the father, the same size and with the same genes. In the Scene they are marked in two colours. A fruit fly has 44⁠ pairs, that is 88⁠ chromosomes, 2n=82n = 8⁠. A human has 2323⁠ pairs, 4646⁠ chromosomes.

  • Counts each chromatid of an X-shaped chromosome as a chromosome of its own.

    The learner reads

    An X shape is one chromosome that has already been copied: two identical sister chromatids joined at a centromere. Chromosomes are counted by their centromeres, so one X is one chromosome, holding two DNA molecules. Only in anaphase, when the sisters part and each gets a centromere of its own, does each one count as a chromosome.

  • Thinks the DNA is copied during mitosis itself, so a cell in interphase holds single, uncopied chromosomes.

    The learner reads

    The DNA is copied before mitosis, in the S phase of interphase. When mitosis begins, every chromosome is already two sister chromatids. So a fruit-fly cell ready to divide holds 88⁠ chromosomes but 1616⁠ DNA molecules. Mitosis itself only shares out what was already copied.

  • Thinks each daughter of mitosis gets half the parent's chromosomes.

    The learner reads

    Mitosis keeps the number. Before division every chromosome was copied, and in anaphase the two sisters of each chromosome are pulled to opposite poles. So each daughter gets one copy of every chromosome: the same 2n2n⁠ chromosomes as the mother cell, exactly the same information. What is split in two is the copied DNA, not the number of chromosomes.

  • Thinks the chromosome count in the cell stays 2n during anaphase.

    The learner reads

    In anaphase every chromosome splits: the two sister chromatids part, and each now has a centromere of its own, so each is a chromosome. Until the cell pinches in two it therefore holds twice as many chromosomes, 4n4n⁠. A human cell in anaphase holds 9292⁠ chromosomes, and each of the two daughters, once it has split, 4646⁠.

  • Thinks sperm and eggs are made by mitosis.

    The learner reads

    Mitosis makes cells identical to the mother cell, with 2n2n⁠ chromosomes: for growth, for healing wounds and for replacing worn-out cells. Sex cells are made by meiosis, which divides twice and leaves each cell with nn⁠ chromosomes, one copy of each pair. If eggs and sperm were made by mitosis, the number of chromosomes would double every generation.

  • Thinks the first division of meiosis keeps the chromosome number, as mitosis does.

    The learner reads

    In the first division of meiosis it is not the sisters that part but the pairs: the two homologous chromosomes of each pair, each still two chromatids, are pulled to opposite poles. So each of the two cells gets nn⁠ chromosomes, one of each pair. That is the reduction division. Only in the second division do the sisters part, as in mitosis.

  • Thinks meiosis is a single division that makes two cells.

    The learner reads

    Meiosis is two divisions in a row, with one copying of the DNA before them. The first separates the homologous pairs, and the second separates the sister chromatids. So four cells come from one, each with nn⁠ chromosomes.

  • Thinks a sperm or egg holds the full diploid set, 2n.

    The learner reads

    A sex cell is haploid: it holds nn⁠ chromosomes, one of each pair. A human egg and sperm hold 2323⁠ chromosomes each, and at fertilisation they join into a fertilised egg with 4646⁠. That is how the number stays the same from generation to generation.

  • Adds the choices of the pairs instead of multiplying them when counting kinds of gamete.

    The learner reads

    Each pair lines up at metaphase I one of two ways round, regardless of the other pairs, like a coin toss. So multiply: with 33⁠ pairs there are 2×2×2=23=82 \times 2 \times 2 = 2^3 = 8⁠ combinations, not 2+2+2=62 + 2 + 2 = 6⁠. In a human, with 2323⁠ pairs, there are 2232^{23}⁠, more than eight million kinds of sex cell, even before crossing over.

  • Thinks the early embryo grows as its cells divide.

    The learner reads

    In its first days the embryo does not feed or grow: it is still inside the egg’s clear shell, with only what the egg held. Each division cuts the cells in two, so the cells get smaller and smaller and the whole embryo stays the size of the egg, about 0.14 mm. These divisions are called cleavage.

  • Thinks every stem cell can become any kind of cell.

    The learner reads

    Stem cells differ in what they can still become. The fertilised egg and the cells of the first days are totipotent: both the body and the placenta can come from them. The cells of the inner cell mass in the blastocyst are pluripotent: any cell type of the body, but not placenta. And adult stem cells, such as those in bone marrow, are multipotent: only a few related kinds, for instance the kinds of blood cell.

  • Thinks a single mutation turns a cell into a cancer cell.

    The learner reads

    One mutation is almost never enough. A cell has several separate controls: brakes, accelerators, checkpoints, even the need for blood vessels. Each mutation breaks one of them at most, so a cancer usually needs several mutations in the same lineage, piling up over years or decades. That is why it is mostly a disease of older age.

  • Thinks any tumour, or any big one, is a cancer.

    The learner reads

    A tumour is any lump of cells that divide too much. It is benign as long as its cells stay on their own side of the basement membrane, however big it grows. It is malignant, a cancer, only when cells break through the membrane into the tissue below. Size does not decide it; breaking through does.

  • Gives the number of cells as the number of doublings it takes to make them.

    The learner reads

    Each doubling multiplies the number of cells by 22⁠, so after nn⁠ doublings there are 2n2^n⁠ cells, not nn⁠. To find how many doublings it takes, ask how many times you must multiply by 22⁠: 210≈10002^{10} \approx 1000⁠, so every 1010⁠ doublings add a factor of a thousand.

Index