MIGRAMAT 12 years: COURSE ORGANIZATION

COURSE SHAPE AND SPACE

8th Basic Course

1st Secondary Education

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Thales theoreme

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Triangles: lines and notable points

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Construction with ruler and compass

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Congruence and similarity

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• Percentage and conversion factor concept. Measurements of the international system of measurements and other systems equivalences. Measures and space study. Time zones: longitude and latitude • Discission about the need for units of shared measures

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Proporcionality •

Numeric point of view: fractions as a ratio of proportionality between quantities

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Historical introduction

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Work with time, lenght and capacity magnitudes.

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Fraction as a consecuence of the measurement process.

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The sum of fractions in the measurement context related to concrete examples: the decimal fraction.

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Construction and measurement of plane figures (revision of the previous stage).

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Beginning of the working space gaining familiarity with the space and the bodies it contains. Plane developement of these bodies.

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Space visualization and projection of bodies on the plane: ◦

Reconstruction of bodies from their projections, either in geometric context as in others (in the Technological area, in particular).

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1

Expression and representation of big quantities derivated of estimated

MIGRAMAT measures. ◦

Beginning in the calculation of bodies and figures areas and volumes: emphirics methods.

QUANTITY

Integers

Calculation

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Negative integers

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Graphic representation in straight numeric

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Basic operations with natural numbers and calculation with calculator (speeding up certain calculations with the use of the memory; efficient use of variables).

Absolute value or module

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Mental calculation methods: direct speed up and numeric relations uses.

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Order

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Natural numbers divisibility.

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Addition, substraction, multiplication and division operations.

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Potentiation and radication

Operation introduction that involves no natural numers, in particular operations with exact decimals and addition and substraction of fractions (before of introducing fraction product in a geometric context, is prioritary strengthening the fraction concept from varying points of view, later as it will impact on the mechanical aspects).

Rational numbers •

Negative rational numbers

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Graphic representation in straight numeric

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Order

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Addition, substraction, multiplication and division operations.

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Potentiation and radication

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Aplications

Introdutions of the integers, simple operations •

Potencies with natural exponent, linked to the number product.

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Scientific notation to estimate large numbers.

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Introduction to the concept of square root in a geometric context: obtaining the square root with the help of calculator making mentally estimates.

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Introduction to the use o simple spreadsheet tables and graphs to work in the field of functional dependence and statistics, and to starts working with formulas, previous step to algebra.

2

MIGRAMAT CHANGE AND RELATIONSHIP

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Cartesian product

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Relations

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Cartesian plane

wich meet several future models (both on paper and using computer

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Functions: f (x) notation

programs).

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Grafic construction of functions in the

Funcional and statistics descriptions: •

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Cartesian plane: lineal, potencies, square root, absolute value, etc.

Interpretation and production of the simple spreadsheet tables and graphs

Need of statistical measures to characterize populations (centralization measures).

First simple exemples of functions: different code systems.

3

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