# Areas - Mathematics - Resources - 2do Cycle

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1 block: Mathematical processes, methods and attitudes

1.1 Identification of problems of daily life in which one or more of the four operations intervene, distinguishing the possible relevance and applicability of each of them.

1.2 Resolution of problems involving different magnitudes and units of measurement (lengths, weights, money ...) with addition, subtraction, multiplication and division, and referring to real situations of change, comparison, equalization, repetition of measures and simple scalars.

1.3 Elements of a problem (statement, data, question, solution), and difficulties to overcome (linguistic comprehension, numerical data, coding and mathematical expression, resolution, verification of the solution, oral communication of the process followed).

1.4 Approaches and strategies to understand and solve problems: oral, graphic and written problems, group resolution, in pairs, individual; mental resolution, with calculator and with the algorithm. Problems with leftover data, missing, with several solutions, systematic counting. Invention of problems and communication to colleagues. Oral explanation of the process followed in solving problems.

1.5 Resolution of open problematic situations: Simple mathematical investigations on numbers, calculations, measurements, geometry and treatment of information, approach of small work projects. Application and interrelation of different mathematical knowledge. Team work. Approach to the method of scientific work and its practice in situations of daily life and the surrounding environment, through the study of some of its characteristics, with hypothesis approach, data collection, registration and analysis, and conclusions. Heuristic strategies: trial-error approach, reformulate the problem. Development of personal strategies to solve problems and investigations and small work projects.

1.6 Oral exhibitions, detailing the research process carried out from close experiences, providing details of the phases and assessing results and conclusions. Preparation of simple guided reports and digital documents for the presentation of the conclusions of the project carried out.

1.7 Use of tools and technological means in the learning process to obtain, analyze and select information, perform numerical calculations, solve problems and present results, develop shared mathematical projects. Integration of Information and Communication Technologies in the thematic learning process.

1.8 Development of basic attitudes for mathematical work: effort, perseverance, flexibility, personal strategies of self-correction and spirit of self-improvement, confidence in one's own possibilities, personal initiative, curiosity and positive disposition to reflect on decisions made and reasoned criticism, approach of questions and search for the best answer, applying what has been learned in other situations and in different contexts, interest in active and responsible participation in cooperative teamwork.

2 block: Numbers

2.1 Meaning and usefulness of natural numbers and fractions in everyday life. Roman numeration

2.2 Interpretation of numerical texts and expressions of everyday life related to numbers (advertising brochures, price catalogs ...).

2.3 Decimal Numbering System Training rules and position value of numbers up to six figures.

2.4 Use of numbers in real situations: reading, writing, sorting, comparison, representation on the number line, decomposition, composition and rounding up to one hundred thousand.

2.5 Fractional numbers to express partitions and relationships in real contexts. Use of appropriate vocabulary.

2.6 Comparison between simple factions and between natural numbers and simple fractions through ordering and representation on the number line.

2.7 The decimal number: position value. Rounding of decimal numbers to the nearest tenths and hundredths.

2.8 Meaning of multiply and divide operations and their usefulness in everyday life. Oral and written mathematical expression of operations and calculation: addition, subtraction, multiplication and division.

2.9 Use in situations of daily life of multiplication as an abbreviated sum, in rectangular arrangements and combinatorial problems.

2.10 Use in real contexts of the division to distribute and to group, as inverse operation to the multiplication.

2.11 Properties of operations and relationships between them using natural numbers.

2.12 Operations with decimal numbers.

2.13 Initial strategies for understanding and performing calculations with simple multiplications and divisions: graphical representations, repetition of measures, money distributions, games ...

2.14 Development and use of different strategies to perform approximate calculations. Estimation of the result of an operation between two numbers, assessing whether the answer is reasonable.

2.15 Additive and multiplicative decomposition of numbers. Construction and memorization of multiplication tables.

2.16 Development and use of personal and academic mental calculation strategies.

2.17 Oral explanation of the process followed in performing mental calculations.

2.18 Use of the standard algorithms of addition, subtraction, multiplication by two figures and division by one figure, applying them in their daily practice. Identification and use of the terms of the basic operations.

2.19 Oral explanation of the process followed in performing written calculations.

2.20 Estimates of the result of an operation between two numbers, assessing whether the answer is reasonable.

2.21 Use of the calculator, deciding on the suitability of its use according to the complexity of the calculations.

3 block: Sizes:

3.1 Units of the Decimal Metric System: length; mass and capacity Multiples and submultiples of everyday use.

3.2 Conventional measuring instruments and their use.

3.3 Choice of the unit and the appropriate instrument for a measurement.

3.4 Estimation of measures of length, mass and capacity in known objects and spaces.

3.5 Measurement of length, mass and capacity.

3.6 Simple expression of a measurement of length, capacity or mass, in complex form and vice versa.

3.7 Comparison and arrangement of units and quantities of the same magnitude.

3.8 Addition and subtraction of measures of length, mass and capacity.

3.9 Search and use of personal strategies to measure.

3.10 Units of measurement of time.

3.11 Reading on the analog and digital clock.

3.12 Monetary systems: The monetary system of the European Union. Main unit: the euro. Value of the different currencies and bills.

3.13 Oral and written explanation of the processes followed.

3.14 Confidence in their own possibilities and interest in cooperating in the search for shared solutions to measure the surrounding environment.

3.15 Effort to achieve order and cleanliness in written presentations of measurement processes.

4 block: Geometry

4.1 The situation in the plane and in space. Relative straight positions. Intersection of lines.

4.2 Parallelism, perpendicularity and symmetry.

4.3 Exploration and identification of flat and spatial figures in everyday life.

4.4 Identification and denomination of polygons according to the number of sides. Square, rectangle, triangle, trapezoid and rhombus. Sides, vertices and angles.

4.5 Comparison and classification of angles.

4.6 Classification of triangles according to their sides and their angles.

4.7 Classification of quadrilaterals attending to the parallelism of its sides.

4.8 Perimeter. Perimeter calculation.

4.9 The circunference and the circle. Center, radius and diameter.

4.10 Cubes, prisms and pyramids. Basic elements: vertices, faces and edges.

4.11 Round bodies: cylinder and sphere.

4.12 Description of the shape of objects using the basic geometric vocabulary.

4.13 The lines as a route: lines and curves, intersection of lines and parallel lines.

4.14 Description of positions and movements.

4.15 Elemental representation of known spaces: plans and models. Description of positions and movements in a topographical context.

4.16 Interest in the elaboration and careful presentation of products related to flat and spatial forms.

4.17 active and responsible collaboration in teamwork. Interest in sharing strategies and results.

4.18 Confidence in the possibilities and constancy in the search for locations and the monitoring of movements in topographic contexts.

5 block: Statistic and probability

5.1 Graphs and statistical parameters: data tables, bar charts, linear diagrams.

5.2 Collection and classification of quantitative data using elementary survey, observation and measurement techniques.

5.3 Use and interpretation of data tables, bar charts, linear diagrams.

5.4 Analysis of the information presented through simple graphs.

5.5 Verbal description of significant elements of simple graphs related to family phenomena.

5.6 Possible events and impossible events.

5.7 Making estimates about some games and events.

5.8 Interest in order and clarity in the preparation and presentation of graphs and tables.

5.9 Confidence in one's own possibilities, curiosity, interest and perseverance in the interpretation of data presented graphically.

5.10 Curious to compare the results of the estimates and the reality in some events. 