Constant Sum

INDICE

    AVARAGE TIME: 1 hour - 1 hour and 30 minutes
    SPACES: classroom
    MATERIALS: ruler of at least 30 cm, pencil, colours, TALES tables

    CONSTANT SUM BETWEEN OPPOSITE SIDES: A BOUNDLE OF STRAIGHT LINES

    After briefly discussing the concepts of opposite and adjacent sides, ask the students to join together all the pairs of numbers with a certain sum (with the partial tables downloadable at the bottom of the page).

    In the example shown in the figure, the sum is 10, but we recommend carrying out the experience twice, starting from a smaller sum.

    The configuration obtained is a bundle of lines, a terminology that can be shared with the class.

    At the end of the activity, we, therefore, recommend proposing to the class the phrase "if you connect numbers on opposite sides with a constant sum, you get a bundle of straight lines".

    CONSTANT SUM OF ADJACENT SIDES: THE PARABLE

    Ask the students to join together all the pairs of numbers with a given sum, but this time by providing the partial tables with the numbers placed on two adjacent sides.

    The configuration obtained is a parabola - in the example in the figure, the sum is always 8. We also recommend proposing the phrase "if you connect numbers on adjacent sides with a constant sum, you get a parabola".

    While the rule remains unchanged (two figures with one side in common cannot have the same colour), the activity will be more challenging.

    EXPERIENCE OF TESSELLATION WITH THE PARABLE

    Quando i bambini hanno finito di colorare le proprie parabole, si può chiedere loro di affiancarle per ottenere varie configurazioni, come quelle mostrata in figura.

     

     

    CONSTANT SUM CONFIGURATIONS IN REALITY

    After completing each configuration, we recommend that the children find some examples of straight lines or parables, in reality, showing the figures shown here.

     

    A snowflake, the pyramid of Giza.

     

    A satellite dish, a parable shot.

    OBIETTIVI INDICAZIONI NAZIONALI COERENTI CON L'ATTIVITÀ

    TERMINE CLASSE TERZA

    • Eseguire mentalmente semplici operazioni con i numeri naturali.

    TERMINE CLASSE QUINTA

    • Eseguire le quattro operazioni con sicurezza;

    • riconoscere e descrivere regolarità in una sequenza di numeri o di figure;

    • riconoscere figure ruotate, traslate e riflesse;

    • riconoscere rappresentazioni piane di oggetti tridimensionali.

    Constant Sum

    INDICE

      AVARAGE TIME: 1 hour - 1 hour and 30 minutes
      SPACES: classroom
      MATERIALS: ruler of at least 30 cm, pencil, colours, TALES tables

      CONSTANT SUM BETWEEN OPPOSITE SIDES: A BOUNDLE OF STRAIGHT LINES

      After briefly discussing the concepts of opposite and adjacent sides, ask the students to join together all the pairs of numbers with a certain sum (with the partial tables downloadable at the bottom of the page).

      In the example shown in the figure, the sum is 10, but we recommend carrying out the experience twice, starting from a smaller sum.

      The configuration obtained is a bundle of lines, a terminology that can be shared with the class.

      At the end of the activity, we, therefore, recommend proposing to the class the phrase "if you connect numbers on opposite sides with a constant sum, you get a bundle of straight lines".

      CONSTANT SUM OF ADJACENT SIDES: THE PARABLE

      Ask the students to join together all the pairs of numbers with a given sum, but this time by providing the partial tables with the numbers placed on two adjacent sides.

      The configuration obtained is a parabola - in the example in the figure, the sum is always 8. We also recommend proposing the phrase "if you connect numbers on adjacent sides with a constant sum, you get a parabola".

      While the rule remains unchanged (two figures with one side in common cannot have the same colour), the activity will be more challenging.

      EXPERIENCE OF TESSELLATION WITH THE PARABLE

      Quando i bambini hanno finito di colorare le proprie parabole, si può chiedere loro di affiancarle per ottenere varie configurazioni, come quelle mostrata in figura.

       

       

      CONSTANT SUM CONFIGURATIONS IN REALITY

      After completing each configuration, we recommend that the children find some examples of straight lines or parables, in reality, showing the figures shown here.

       

      A snowflake, the pyramid of Giza.

       

      A satellite dish, a parable shot.

      OBIETTIVI INDICAZIONI NAZIONALI COERENTI CON L'ATTIVITÀ

      TERMINE CLASSE TERZA

      • Eseguire mentalmente semplici operazioni con i numeri naturali.

      TERMINE CLASSE QUINTA

      • Eseguire le quattro operazioni con sicurezza;

      • riconoscere e descrivere regolarità in una sequenza di numeri o di figure;

      • riconoscere figure ruotate, traslate e riflesse;

      • riconoscere rappresentazioni piane di oggetti tridimensionali.