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Curriculum (Italy)

Mathematics in third year of high school

Mathematics in the third year of liceo: quadratic equations and inequalities, parabola and circle, goniometry and trigonometry, exponentials and logarithms, vectors and combinatorics. Each topic comes with ready-to-print exercise templates for worksheets.

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What does a third-year high school student learn in mathematics?

In the third year of the lyceum, students study the quadratic function, solve second-degree equations and inequalities and the problems that require them, and factorize and divide polynomials. They study conics (the circle and the parabola in the Cartesian plane), the circumference and the circle, circular functions, and the theorems for solving triangles. They encounter exponential and logarithmic functions with their equations, models of exponential growth and periodic phenomena, vector algebra, two-way tables, and combinatorics.

About the curriculum: lyceums follow the National Guidelines of D.M. 7 October 2010, n. 211 (G.U. n. 291 of 14 December 2010, S.O. n. 275). The specific objectives for mathematics are set for the second biennium, not year by year: the choice of topics for this class is ours. This page covers what is common to all lyceums; the scientific lyceum has a separate page, because it anticipates and expands many topics. The objectives, quoted verbatim, can be found in the section below.

Curriculum scope

  1. SB.AA (our numbering) · Teaching content · checked against the act

    Aritmetica e algebra

    DM 211/2010, Matematica, secondo biennio, Aritmetica e algebra

  2. SB.AA.1 (our numbering) · Teaching content

    Lo studio della circonferenza e del cerchio, del numero π, e di contesti in cui compaiono crescite esponenziali con il numero e, permetteranno di approfondire la conoscenza dei numeri reali, con riguardo alla tematica dei numeri trascendenti.

    our summary of the point · DM 211/2010, Matematica, secondo biennio, Aritmetica e algebra, punto SB.AA.1

  3. SB.G (our numbering) · Teaching content · checked against the act

    Geometria

    DM 211/2010, Matematica, secondo biennio, Geometria

  4. SB.G.1 (our numbering) · Teaching content · checked against the act

    Le sezioni coniche saranno studiate sia da un punto di vista geometrico sintetico che analitico.

    DM 211/2010, Matematica, secondo biennio, Geometria, punto SB.G.1

  5. SB.G.2 (our numbering) · Teaching content · checked against the act

    Inoltre, lo studente approfondirà la comprensione della specificità dei due approcci (sintetico e analitico) allo studio della geometria.

    DM 211/2010, Matematica, secondo biennio, Geometria, punto SB.G.2

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