πŸ‡ΊπŸ‡Έ NGSS Β· Grades 6-8

MS-LS4-6: Natural selection by the numbers

MS-LS4-6 explained: using math and proportions to show how natural selection changes trait frequencies over generations, with a worked example and quiz.

NGSS performance expectation MS-LS4-6

Students who demonstrate understanding can: Use mathematical representations to support explanations of how natural selection may lead to increases and decreases of specific traits in populations over time.

Clarification statement: Emphasis is on using mathematical models, probability statements, and proportional reasoning to support explanations of trends in changes to populations over time.

Assessment boundary: Assessment does not include Hardy Weinberg calculations.

Grade band
Grades 6-8
Discipline
Life science
Topic
Biological Evolution: Unity and Diversity

Official wording from the Next Generation Science Standards (NGSS Lead States, 2013). NGSS is a registered trademark of WestEd. Neither WestEd nor the lead states and partners that developed the NGSS were involved in the production of this page, and they do not endorse it. View on nextgenscience.org

What MS-LS4-6 means

Natural selection becomes easier to see when you count. Imagine a population of 1,000 moths where 10 percent are dark and 90 percent are light. If pollution darkens tree bark and birds now catch light moths far more often, the dark moths will make up a larger share of each new generation. Within a few generations the population might be 30 percent dark, then 55 percent, then mostly dark. The traits of individuals did not change; the proportions in the population did.

Students use mathematical representations, such as tables, bar graphs and percentages, to support explanations of these trends. They calculate the fraction of a population that has a trait in each generation, graph the change over time, and connect the pattern to which individuals survived and reproduced. A trait can decrease as well as increase, for example when the environment changes back.

Calculations stay at the level of percentages and proportions; formal population-genetics formulas such as Hardy-Weinberg are not part of this standard.

Students should be able to

  • Calculate the percentage of a population with a trait from count data.
  • Graph changes in trait frequency across several generations.
  • Use a mathematical representation to support an explanation of natural selection.
  • Explain why a trait can increase in one period and decrease in another.
  • Distinguish a change in a population's trait proportions from changes in individual organisms.

Common misconceptions

Individuals evolve

A single moth does not change color. Natural selection changes the proportion of a trait in the population across generations.

Evolution always moves toward one perfect form

Trait frequencies follow the environment. If conditions reverse, a trait that was increasing can decline.

Raw numbers tell the whole story

If the total population changes, counts can mislead. Comparing percentages shows whether a trait is truly becoming more common.

Worked example: dark moths over three generations

A moth population has 1,000 moths with 100 dark ones. In the next generation there are 800 moths with 240 dark. In the following generation there are 900 moths with 450 dark. Calculate the percentage of dark moths each time and explain the trend.

  1. Generation 1: 100 / 1,000 = 0.10, so 10 percent are dark.
  2. Generation 2: 240 / 800 = 0.30, so 30 percent are dark.
  3. Generation 3: 450 / 900 = 0.50, so 50 percent are dark.
  4. Trend: the dark trait rose from 10 to 30 to 50 percent, so dark moths were surviving and reproducing more often than light moths in this environment.

Answer: Dark moths made up 10, 30 and then 50 percent of the population, showing natural selection increasing the frequency of the dark trait.

Teaching MS-LS4-6

Run a simulation over several rounds, recording the number of each trait after every round in a class table, then convert to percentages and graph. Ask students to annotate the graph with the 'selection event' that explains each change.

Assessment excludes Hardy-Weinberg calculations; it expects students to use proportions and graphs as evidence in a written explanation.

6 practice questions

Original questions written for this standard. Choose an option or type your answer, then press Check. Every question has a worked explanation.

Score: 0 / 6(0 of 6 checked)
  1. 1.

    A population of 200 lizards has 50 with long legs. What percentage has long legs?

    Answer and explanation

    Answer: 25 (also accepted: 25%, 25 percent)

    50 / 200 = 0.25, which is 25 percent.

  2. 2.

    The percentage of bacteria resistant to an antibiotic rises from 5 percent to 60 percent over many generations of antibiotic use. What best explains this?

    Question 2 options
    Answer and explanation

    Answer: A) Resistant bacteria survived and reproduced more

    The antibiotic killed non-resistant bacteria, so resistant ones made up more of each new generation.

  3. 3.

    Why is it better to compare percentages than raw counts when the total population changes?

    Question 3 options
    Answer and explanation

    Answer: B) Percentages show the share of the trait regardless of population size

    Percentages show whether the trait is becoming more common relative to the whole population.

  4. 4.

    In one generation, 90 of 300 beetles are green. In the next, 120 of 300 are green. By how many percentage points did the green share increase?

    Answer and explanation

    Answer: 10 (also accepted: 10 percentage points, 10%)

    90/300 is 30 percent and 120/300 is 40 percent, an increase of 10 percentage points.

  5. 5.

    After air pollution was reduced, light-colored moths became more common again. This shows that:

    Question 5 options
    Answer and explanation

    Answer: D) Natural selection depends on the current environment

    When the environment changed back, light moths again had better survival odds.

  6. 6.

    What changes over generations during natural selection?

    Question 6 options
    Answer and explanation

    Answer: A) The proportion of individuals with a trait in the population

    Natural selection shifts trait frequencies in the population over time.

Builds on

Leads to

  • HS-LS4-3

    Apply concepts of statistics and probability to support explanations that organisms with an advantageous heritable trait tend to increase in proportion to organisms lacking this trait.

  • HS-LS4-2

    Construct an explanation based on evidence that the process of evolution primarily results from four factors: (1) the potential for a species to increase in number, (2) the heritable genetic variation of individuals in a species due to mutation and sexual reproduction, (3) competition for limited resources, and (4) the proliferation of those organisms that are better able to survive and reproduce in the environment.

Teach MS-LS4-6

Make a lesson on MS-LS4-6

A full lesson with slides, activities and an exit ticket on natural selection by the numbers, pitched to grades 6-8 and editable in PowerPoint or Google Slides.

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FAQ

What math does MS-LS4-6 involve?

Mathematical models, probability statements and proportional reasoning, such as percentages of a population with a trait across generations.

Are Hardy-Weinberg calculations required?

No. The assessment boundary specifically excludes Hardy-Weinberg calculations.

More life science standards

MS-LS1-1: Living things are made of cellsMS-LS1-2: How cell parts work togetherMS-LS1-3: Body systems working togetherMS-LS1-4: Behaviors and structures that aid reproductionMS-LS1-5: Genes, environment and growthMS-LS1-6: Photosynthesis, matter and energyMS-LS1-7: Food, new molecules and energy releaseMS-LS1-8: Senses, signals and memoryMS-LS2-1: Resources and populationsMS-LS2-2: Patterns of interaction in ecosystems
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