MIGRAMAT 12 years: COURSE ORGANIZATION

COURSE SHAPE AND SPACE

8th Basic Course

1st Secondary Education

Thales theoreme

Triangles: lines and notable points

Construction with ruler and compass

Congruence and similarity

• 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

Proporcionality •

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

Historical introduction

Work with time, lenght and capacity magnitudes.

Fraction as a consecuence of the measurement process.

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

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

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

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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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

Negative integers

Graphic representation in straight numeric

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

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

Order

Natural numbers divisibility.

Addition, substraction, multiplication and division operations.

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

Graphic representation in straight numeric

Order

Addition, substraction, multiplication and division operations.

Aplications

Introdutions of the integers, simple operations •

Potencies with natural exponent, linked to the number product.

Scientific notation to estimate large numbers.

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

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.

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MIGRAMAT CHANGE AND RELATIONSHIP

Cartesian product

Relations

Cartesian plane

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

Functions: f (x) notation

programs).

Grafic construction of functions in the

Funcional and statistics descriptions: •

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.

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