Mathematics 1. Alumno + De cerca
Anaya
Maths
ISBN: 9788469873489
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eBook
Unit 1. Numeral systems throughout history
Video. Natural numbers
Applying the developing thinking technique to activity 5
1. Numeral systems (I)
Interactive presentation. Numeral systems
Numeral systems (I)
Video. Numeral systems
1. Numeral systems (II)
Numeral systems (II)
2. Large numbers
Interactive presentation. Large numbers
Large numbers (I)
Large numbers (II)
3. Rounding natural numbers
Assessment. Portfolio
Rounding natural numbers (I)
Rounding natural numbers (II)
Rounding numbers
SDG commitment. Target 11.c
Videotutorial. Rounding natural numbers
4. Basic operations with natural numers (I)
Addition and subtraction with natural numbers
Mental arithmetic: Addition
Mental arithmetic: Subtraction
4. Basic operations with natural numers (II)
Mental arithmetic: multiplication
Multiplication with natural numbers
Video. Distributve property
4. Basic operations with natural numers (III)
Division with natural numbers (I)
Mental arithmetic: division
Video. Division test
4. Basic operations with natural numers (IV)
Division with natural numbers (II)
5. Expressions with combined operations
Expressions with combined operations (I)
Interactive presentation. Combined operations
Applying the cooperative learning technique to activity 6
Expressions with combined operations (II)
Linguistic plan. Argumentative text
Answer key for the self-assessment. Unit 1
Learn by playing. Natural numbers
SDG commitment. Target 13.3
Unit 1. Self-assessment
eBook
Unit 2. Pythagoras and the Pythagoreans
Video. Powers and roots
1. Powers
GeoGebra: Concepto de potencia (in Spanish)
The concept of power
Applying the developing thinking technique to activity 12
Powers I
Powers II
2. Powers of base 10
How to abbreviate large numbers
Powers of base 10 I
Powers of base 10 II
Rounding large numbers using powers of base 10
3. Operating with powers I
Interactive presentation. Operating with powers
Operating with powers I
3. Operating with powers II
GeoGebra: Cociente de potencias con la misma base. Concepto (in Spanish)
GeoGebra: Potencia de otra potencia. Concepto (in Spanish)
GeoGebra: Producto de potencias con la misma base. Concepto (in Spanish)
Operating with powers II
Video. Power of a power
3. Operating with powers III
Applying the cooperative learning technique to activity 10
GeoGebra: Ejercicio: practica las operaciones con potencias. Nivel 1 (in Spanish)
GeoGebra: Ejercicio: practica las operaciones con potencias. Nivel 3 (in Spanish)
GeoGebra: Ejercicio: practica las operaciones con potencias. Nivel 4 (in Spanish)
GeoGebra: Ejercicio: practica las operaciones con potencias. Nivel 5 (in Spanish)
GeoGebra: Ejercicio: practica las operaciones con potencias. Nivel 6 (in Spanish)
GeoGebra: practica las operaciones con potencias. Nivel 2. Ejercicio (in Spanish)
Operating with powers III
4. Square roots I
Videotutorial. Square roots
4. Square roots II
Square roots. Calculating the square root
The square root I
4. Square roots III
Interactive presentation. Square root-finding algorithm
The square root II
Assessment. Portfolio
Linguistic plan. Expositive text
Answer key for the self-assessment. Unit 2
Learn by playing. Powers and roots
SDG commitment. Target 1.5
Unit 2. Self-assessment
eBook
Unit 3. Euclid and the theory of divisibility
Video. Divisibility
1. The relation of divisibility
The relation of divisibility I
The relation of divisibility II
GeoGebra: Indica si un número es o no divisor de otro. Ejercicio (in Spanish)
GeoGebra: Indica si un número es o no múltiplo de otro. Ejercicio (in Spanish)
The relation of divisibility III
2. Multiples and divisors of a number I
Multiples of a number
The multiples and divisors of a number I
2. Multiples and divisors of a number II
Interactive activity. Divisibility criteria
The multiples and divisors of a number II
GeoGebra: Las estanterías. Problema (in Spanish)
GeoGebra: Los collares. Problema (in Spanish)
3. Prime and composite numbers
GeoGebra: clasificar números en primos y compuestos. Ejercicio (in Spanish)
Indicate prime numbers in a table of numbers
Prime and composite numbers
4. Decomposing a number I
Decomposition of a number into its prime factors
Factorising a number into its prime factors I
GeoGebra: Practica la descomposición de un número en sus factores primos (in Spanish)
Video. Factorising prime numbers
4. Decomposing a number II
Applying the cooperative learning technique to activity 2
Factorising a number into its prime factors II
GeoGebra: Encontrar todos los divisores de un número. Ejercicio (in Spanish)
5. Lowest common multiple I
Calculating the LCM. Traditional and optimal method
Calculating the LCM. Traditional method
Videotutorial. Calculating the lowest common multiple
5. Lowest common multiple II
GeoGebra: cálculo del del mín.c.m. de dos números. Ejercicio (in Spanish)
GeoGebra: Las balizas. Problema (in Spanish)
Lowest common multiple I
GeoGebra: Los coches. Problema (in Spanish)
Lowest common multiple II
6. Gratest common divisor I
6. Gratest common divisor II
Calculating the GCD. Traditional and optimal method
Calculating the GCD. Traditional method
GeoGebra: Cálculo del máx.c.d. de dos números. Ejercicio (in Spanish)
Greatest common divisor I
Greatest common divisor II
Assessment. Portfolio
Learn by playing. Divisibility
Answer key for the self-assessment. Unit 3
Applying the developing thinking technique
SDG commitment. Target 4.5
Unit 3. Self-assessment
eBook
Unit 4. Red and black rods
1. Positive and negative numbers
Positive and negative numbers I
Positive and negative numbers II
Video. Integers
Positive and negative numbers III
2. The set of integers
The set of integers I
Applying the cooperative learning technique to activity 2
Linguistic plan. Instructive text
The set of integers II
3. Addition and subtraction with integers
Addition and subtraction with integers I
Worked example. Addition and subtraction of integers
Addition and subtraction with integers II
Applying the developing thinking technique to activity 2
GeoGebra: Practica la suma y resta de enteros en la recta numérica. Ejercicio (in Spanish)
4. Addition and subtraction with brackets I
Addition and subtraction with brackets I
4. Addition and subtraction with brackets II
Worked example. Addition and subtraction with brackets (I)
Worked example. Addition and subtraction with brackets (II)
Addition and subtraction with brackets II
5. Multiplication and division
GeoGebra: Practica la regla de los signos. Ejercicio (in Spanish)
Multiplication and division with integers I
Video. Rule of signs
Multiplication and division with integers II
6. Combined operations
Combined operations I
Combined operations II
GeoGebra: Operaciones con números enteros. Juego (in Spanish)
GeoGebra: Practica las operaciones combinadas (in Spanish)
Videotutorial. Combined operations
Worked example. Combined operations
7. Powers and roots of integers
Examples of the properties of integer powers
Powers and roots of integers I
Powers and roots of integers II
Assessment. Portfolio
GeoGebra: Cuadrado mágico de números enteros (in Spanish)
Answer key for the self-assessment. Unit 4
Learn by playing. Integers
SDG commitment. Target 15.1
Unit 4. Self-Assessment
eBook
Unit 5. Sunya and the decimal numeral system
Video. Decimals
1. The structure of decimal numbers I
GeoGebra: Sistema de numeración decimal (in Spanish)
Structure of decimal numbers I
1. The structure of decimal numbers II
Applying the cooperative learning technique to activity 3
Structure of decimal numbers II
1. The structure of decimal numbers III
GeoGebra: Recta numérica. Décimas y centésimas (in Spanish)
How to find decimals between two numbers
1. The structure of decimal numbers IV
GeoGebra: Redondeo de números decimales (in Spanish)
Rounding -off problems
Structure of decimal numbers III
Video. Rounding with decimal numbers
Worked example. Rounding decimal numbers
2. Addition, subtraction and multiplication
Addition, subtraction and multiplication with decimals I
Practise adding decimal numbers
Practise multiplying decimal numbers
Practise subtracing decimal numbers
Addition, subtraction and multiplication with decimals II
3. Dividing decimals I
Division with decimal numbers I
Videotutorial. Division with decimal numbers
3. Dividing decimals II
Division with decimal numbers II
Division with decimal numbers III
GeoGebra: Cálculo mental con decimales (in Spanish)
GeoGebra: De compras. Problema (in Spanish)
4. Square roots and decimal numbers
Square root and decimal numbers II
Square roots and decimal numbers I
Assessment. Portfolio
SDG commitment. Target 6.1
Applying the cooperative learning technique to activity 45
Applying the developing thinking technique to activity 46
Linguistic plan. Argumentative text
Answer key for the self-assessment. Unit 5
Learn by playing. Decimals
SDG commitment. Target 8.b
Unit 5. Self-assessment
Using ICT in a healthy way
eBook
Unit 6. The metric system
Video. Metric system
Applying the developing thinking technique to activity 2
1. Magnitudes and measurements
Magnitudes and measurements I
Magnitudes and measurements II
2. The metric decimal system
The metric system
3. Units of measurement for fundamental magnitudes I
Applying the cooperative learning technique to activity 1
Units of measurement for fundamental magnitudes I
3. Units of measurement for fundamental magnitudes II
Units of measurement for fundamental magnitudes II
4. Conversion of units
Conversion of units I
Conversion of units II
GeoGebra. Practica transformaciones con unidades de longitud, capacidad y masa (in Spanish)
5. Complex and simple amounts
Complex and simple amounts I
Complex and simple amounts II
Video. Complex to simple form
6. Measuring surface areas I
Measuring surface areas I
6. Measuring surface areas II
6. Measuring surface areas III
Measuring surface areas II
Videotutorial. Surface area units
6. Measuring surface areas IV
Measuring surface areas III
Learn by playing. From complex to simple amounts
Linguistic plan. Argumentative text
Answer key for the self-assessment. Unit 6
Linguistic plan. Narrative text
SDG commitment. Target 12.4
Unit 6. Self-assessment
eBook
Unit 7. Fractions
Video. Fractions
Applying the developing thinking organiser to activiry 123
1. What are fractions?
Practice the concept of fractions
Video. Fractions as operators
What are fractions? I
GeoGebra. Practica el concepto de fracción (in Spanish)
GeoGebra. Concepto de fracción (in Spanish)
What are fractions? II
2. The relationship between fractions and decimals
Applying the cooperative learning technique to activity 1
The relationship between fractions and decimals I
The relationship between fractions and decimals II
3. Equivalent fractions I
GeoGebra: Practica calculando fracciones irreducibles (in Spanish)
Videotutorial. Equivalent fractions
Equivalent fractions I
3. Equivalent fractions II
Equivalent fractions II
Equivalent fractions III
4. Problems with fractions
Practise problems with fractions
Problems with fractions I
Problems with fractions II
Learn by playing. Fractions
Linguistic plan. Expositive text
SDG commitment. Target 14.4
Answer key for the self-assessment. Unit 7
SDG commitment. Target 3.3
Unit 7. Self-assessment
eBook
Unit 8. Operating with fractions
Video. Operations with fractions
1. Reducing to a common denominator
GeoGebra. Practica la comparación de fracciones (in Spanish)
Practise reducing fractions to a common denominator
Video. Reducing fractions to a common denominator
Reducing to a common denominator I
Reducing to a common denominator II
2. Adding and subtracting fractions
GeoGebra. Ejemplo de suma de fracciones (in Spanish)
Videotutorial. Adding and subtracting fractions
Adding and subtracting fractions I
Adding and subtracting fractions II
3. Multiplying and dividing fractions
Practise multiplying and dividing fractions
Multiplying and dividing fractions I
Multiplying and dividing fractions II
4. Combined operations
Combined operations I
Combined operations I
GeoGebra. Practica resolviendo operaciones combinadas con fracciones (in Spanish)
5. Problems with fractions
GeoGebra. La estantería. Problema con fracciones (in Spanish)
GeoGebra. Problemas con fracciones (in Spanish)
GeoGebra. Red de tuberías. Problema con fracciones (in Spanish)
Practise solving problems using fractions
Some problems with fractions I
Some problems with fractions II
Applying the cooperative learning technique to activity 12
Learn by playing. Operating and simplifying fractions
Applying the developing thinking key to activity 25
SDG commitment. Target 15.3
Applying the developing thinking technique
Linguistic plan. Descriptive text
Answer key for the self-assessment. Unit 8
SDG commitment. Target 15.c
Unit 8. Self-assessment
eBook
Unit 9. Proportionality and percentages
Video. Proportionality and percentages
1. Proportionality between magnitudes I
Proportionality between magnitues I
1. Proportionality between magnitudes II
Practise identifying inverse proportionality
Proportionality between magnitues II
2. Direct proportionality problems I
Direct proportionaliy problems I
2. Direct proportionality problems II
Direct proportionaliy problems II
Practise solving problems with direct proportionality
3. Inverse proportionality problems I
Inverse proportionality problems I
Video. Inverse proportionality
3. Inverse proportionality problems II
Inverse proportionality problems II
4. Percentages I
GeoGebra. Calcula porcentajes (in Spanish)
GeoGebra. Concepto de porcentajes (in Spanish)
Videotutorial. Percentages
GeoGebra. La biblioteca. Problema con porcentajes (in Spanish)
Percentages I
4. Percentages II
GeoGebra. Practica la relación entre porcentajes, fracciones y números decimales. (in Spanish)
Percentages II
Practise the relationship between percentages, fractions and decimals
5. Percentage increases and decreases
GeoGebra. De compras. Practica los aumentos y disminuciones porcentuales (in Spanish)
GeoGebra. Practica con ejemplos de aumento porcentual (in Spanish)
GeoGebra. Practica con ejemplos de disminución porcentual (in Spanish)
GeoGebra. Subida y bajada de precios (in Spanish)
Percentage increases and decreases I
Percentage increases and decreases II
Learn by playing. Percentages
Linguistic plan. Descriptive text
Applying the cooperative learning technique to activity 24
Applying the developing thinking technique to activity 59
Linguistic plan. Expositive text
Answer key for the self-assessment. Unit 9
SDG commitment. Target 7.2
Unit 9. Self-assessment
eBook
Unit 10. Algebra
Video. Algebra
1. Letters instead of numbers I
1. Letters instead of numbers II
Letters instead of numbers I
Translate statements into algebraic language
Letters instead of numbers II
2. Algebraic expression I
Algebraic expressions I
GeoGebra. Traduce enunciados a expresiones algebraicas (in Spanish)
Video. Numeric value
2. Algebraic expression II
Algebraic expressions II
2. Algebraic expression III
Algebraic expressions III
GeoGebra. Operaciones con expresiones algebraicas (in Spanish)
Algebraic expressions IV
3. Equations
Equations I
Equations II
Solving equations through trial and error
4. First methods for solving equations I
First methods for solving equations I
GeoGebra. Ecuación x + a = b (in Spanish)
4. First methods for solving equations II
First methods for solving equations II
5. Solving first-degree equations with one unknown
Solving first-degree equations I
Videotutorial. First-degree equations
GeoGebra. Ecuación ax + b = c (in Spanish)
GeoGebra. Ecuación ax + b = cx + d (in Spanish)
GeoGebra. Practica resolviendo ecuaciones de primer grado con una incógnita (in Spanish)
Solving first-degree equations II
Solving first-degree equations III
Solving first-degree equations IV
6. Solving problems through equations
GeoGebra. Calcula la anchura de un rio utilizando ecuaciones (in Spanish)
Solve problems through equations
Solving problems with equations I
GeoGebra Resuelve problemas haciendo uso de las ecuaciones (in Spanish)
Solving problems with equations II
Applying the developing thinking technique to activity 6
Applying the cooperative learning technique to activity 25
Linguistic plan. Argumentative text
Applying the developing thinking technique
Answer key for the self-assessment. Unit 10
Learn by playing. Equations
SDG commitment. Target 5.5
Unit 10. Self-assessment
Using ICT correctly
eBook
Unit 11. Lineas and angles
Video. Lines and angles
1. Basic elements of geometry II
Basic geometry elements I
1. Basic elements of geometry II
Basic geometry elements II
Linguistic plan. Expositive text
2. Two important lines
Two important lines I
3. Angles
Angles I
Angles II
GeoGebra. Practica encontrando el ángulo complementario o suplementario (in Spanish)
Lines and angles. Angle relationships
4. Angle measures I
Angle measures I
GeoGebra. Mide ángulos con el transportador (in Spanish)
4. Angle measures II
Angle measures II
Video. Complex and simple form with angles
5. Operating with angle measures I
GeoGebra. Practica la suma y la resta con medidas de tiempo (in Spanish)
Operations with angle measures I
Videotutorial. Operating with angle measures
5. Operating with angle measures II
Operations with angle measures II
6. Angular relationships
Angle relationships I
GeoGebra. Practica averiguando qué ángulos se forman cuando una secante corta a dos rectas paralelas (in Spanish)
7. Angles in polygons
Angles in polygons I
Angles in polygons II
Applying the cooperative learning technique to activity 2
Calculating the unknown angle in a circumference
GeoGebra. Ángulos en un polígono regular (in Spanish)
GeoGebra. Ejercicios de ángulos en polígonos I (in Spanish)
GeoGebra. Ejercicios de ángulos en polígonos II (in Spanish)
GeoGebra. Suma de los ángulos de un triángulo (in Spanish)
GeoGebra. Suma de los ángulos interiores de un polígono (in Spanish)
8. Angles in a circumference I
Angles in a circumference I
Applying the developing thinking key to activity 3
8. Angles in a circumference II
Angles in a circumference II
Practise calculating angles in a circumference
Learn by playing. Operations with angles
SDG commitment. Target 6.4
Answer key for the self-assessment. Unit 11
SDG commitment. Target 2.1
Unit 11. Self-assessment
eBook
Unit 12. Geometric shapes
Video. Geometric shapes
Applying the developing thinking technique to activity 7
Applying the cooperative learning technique to activity 4
1. Pôlygons and other plane shapes
Polygons and other plane shapes I
Polygons and other plane shapes II
2. Symmetries in plane shapes
Symmetries in plane shapes I
Symmetries in plane shapes II
3. Triangles I
Building triangles
Triangles I
Video. Triangles
3. Triangles II
Practise with the important lines and points of a triangle
Triangles II
4. Quadrilaterals
Quadrilaterals I
Quadrilaterals II
5. Regular polygons and circles
Regular polygons and circumferences I
Regular polygons and circumferences II
6. Cordovan triangle and related figures I
Cordovan triangle and related figures I
6. Cordovan triangle and related figures II
Cordovan triangle and related figures II
7. Pythagorean theorem
Pythagorean theorem I
Videotutorial. Pythagorean theorem
8. Applications of the Pythagorean theorem I
Applications of the Pythagorean theorem I
8. Applications of the Pythagorean theorem II
Applications of the Pythagorean theorem II
Applications of the Pythagorean theorem III
9. Geometric shapes
Geometric shapes I
10. Polyhedra
Polyhedra I
11. Solids of revolution
Solids of revolution I
Learn by playing. Symmetry
Linguistic plan. Argumentative text
SDG commitment. Target 9.c
Professional orientation: 3D design and printing
Answer key for the self-assessment. Unit 12
SDG commitment. Target 9.b
Unit 12. Self-assessment
eBook
Unit 13. Areas and perimeters
Video. Areas and perimeters
GoeGebra. Tangram (in Spanish)
1. Measuring quadrilaterals I
GeoGebra. Área del paralelogramo (in Spanish)
GeoGebra. Área del rectángulo (in Spanish)
GeoGebra. Área del rombo (in Spanish)
Measuring quadrilaterals I
Videotutorial. Measurements of quadrilaterals
1. Measuring quadrilaterals II
Applying the cooperative learning technique to activity 5
GeoGebra. Área del trapecio (in Spanish)
Measuring quadrilaterals II
2. Measuring triangles
GeoGebra. Área del triángulo (in Spanish)
Measuring triangles I
Applying the developing key technique to activity 1
3. Measuring polygons
GeoGebra. Área y fracción (in Spanish)
GeoGebra. Practica calculando áreas (in Spanish)
Measuring polygons I
Measuring polygons II
4. Measuring circles I
Measuring circles I
4. Measuring circles II
Measuring circles II
Video. Circular secotrs
5. The Pythagorean theorem for calculating areas
The Pythagorean theorem for calculating areas I
GeoGebra. Practica calculando áreas (in Spanish)
The Pythagorean theorem for calculating areas II
Learn by playing. Areas
Linguistic plan. Argumentative text
Answer key for the self-assessment. Unit 13
SDG commitment. Target 14.1
Unit 13. Self-assessment
eBook
Unit 14. Graphs of functions
Video. Graphs of functions
1. Cartesian coordinates
Cartesian coordinates I
Cartesian coordinates II
GeoGebra. Coordenadas cartesianas (in Spanish)
Video.Graphing points
2. Points that provide information
GeoGebra. Coordenadas en un mapa (in Spanish)
Points that provide information I
Practise interpreting graphs
3. Points that are related
Points that are related I
4. Interpreting graphs I
GeoGebra. El depósito de gasolina (in Spanish)
GeoGebra. Viaje en autobús (in Spanish)
Interpreting graphs I
Linguistic plan. Descriptive text
4. Interpreting graphs II
Interpreting graphs II
5. Linear functions. Equation and representation
Linear functions. Equation and representation I
Videotutorial. Graphing linear functions
Applying the cooperative learning technique to activity 7
Learn by playing. Graphs of functions
SDG commitment. Target 8.1
Applying the developing thinking technique to activity 23
Answer key for the self-assessment. Unit 14
SDG commitment. Target 10.3
Unit 14. Self-assessment
eBook
Unit 15. Statistics
Video. Statistics
1. Statistical analysis process I
Statistical analysis process I
1. Statistical analysis process II
Applying the cooperative learning technique to activity 2
GeoGebra. Clasifica variables (in Spanish)
Statistical analysis process II
2. Frequency and frequency tables I
Frequency and frequency tables I
2. Frequency and frequency tables II
Frequency and frequency tables II
3. Statistical graphs I
GeoGebra. Gráfico de barras (in Spanish)
GeoGebra. Interpreta un diagrama de barras (in Spanish)
Statistical graphs I
3. Statistical graphs II
GeoGebra. Las exportaciones (in Spanish)
GeoGebra. Diagrama de sectores (in Spanish)
GeoGebra. Interpreta un diagrama de sectores (in Spanish)
Linguistic plan. Argumentative text
Statistical graphs II
Video. Pie chart
4. Statistical parameters I
GeoGebra. Media aritmética (in Spanish)
Videotutorial. Statistical parameters
4. Statistical parameters II
Statistical parameters I
4. Statistical parameters III
Statistical parameters II
Learn by playing. Arithmetic mean
Applying the developing thinking technique to activity 25
Professional orientation. Big Data speacialist
Applying the developing thinking organiser
Answer key for the self-assessment. Unit 15
SDG commitment. Target 16.2
Unit 15. Self-assessment
eBook
Unit 16. Chance and probability
Video. Chance and probability
Applying the cooperative learning technique to activity 7
Linguistic plan. Argumentative text
Applying the developing thinking technique to activity 1
1. Random events I
Random events I
1. Random events II
Random events II
2. Probability of an event I
Probability of an event I
2. Probability of an event I
Probability of an event II
3. Assigning probabilities to regular experiments I
Assigning probabilities to regular experiments I
GeoGebra. Ejemplos calculo probabilidades (in Spanish)
3. Assigning probabilities to regular experiments II
Assigning probabilities to regular experiments II
GeoGebra. La baraja (in Spanish)
GeoGebra. Urna con bolas (in Spanish)
GeoGebra. Probabilidad con bolas de una urna. Ejercicio (in Spanish)
Video. Laplace's law
4. Some strategies for calculating probabilities
Some strategies for calculating probabilities I
Some strategies for calculating probabilities II
Learn by playing. Calculating probabilities
Answer key for the self-assessment. Unit 16
SDG commitment. Target 4.6
Unit 16. Self-assessment