A virtual learning object (VLO) Number Sets
Laureth Lisneidy Lopez Vargas Jeniffer Xiomara Barrios Sanchez
Start
Pensamiento lógico y matemático
Table of contents
Previous knowledge
Objectives
Introduction
Support material
What are numerical sets?
Types of numerical sets
Developed exercises
References
Introduction
This VLO (Virtual Learning Object) is designed to help you understand and explore the different types of number sets, from natural numbers to real numbers. Through interactive activities and detailed explanations, you will be able to strengthen your knowledge of this fundamental topic in mathematics.The importance of this VLO is that it provides a solid understanding of number sets. This is fundamental to various academic disciplines and practical applications, enhancing critical thinking, problem solving and preparing students for more advanced challenges in mathematics and in their daily lives. In terms of methodology, it is worth noting that learning is active through problem solving and interaction with the content and has a gradual approach, from the most basic to the most complex, to ensure a solid understanding.
Objectives
- To help students understand the fundamental concepts of number sets, including natural, integer, rational, irrational, real numbers.
- To provide practical exercises that challenge students to apply the concepts learned in diverse contexts, encouraging critical thinking and problem solving.
- To evaluate students according to the learning obtained with the virtual learning object.
Previous knowledge
Natural numbers
Rationals numbers
Irrational numbers
Integer numbers
Real numbers
What are numerical sets?
Numerical sets are groupings of numbers that share certain characteristics in common. These sets are made up of numbers that can be classified according to their mathematical properties and relationships. Some of the most common numerical sets include the natural, integer, rational, irrational, and real numbers. Each set has its own distinctive rules and properties that define them and differentiate them from others.
Types of numerical sets
Integer numbers
Natural numbers
They are the ones we use to count or order and belong to the set of positive integers, represented by the symbol ℕ. Natural numbers have no decimal part, are positive and are unlimited (infinite).
Integers are a set that includes all positive and negative numbers and zero. These numbers have no decimals or fractions. They are represented by the symbol ℤ .
ℕ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . . .}
1 2 3 4 5 6
Types of numerical sets
Irrational Numbers
Rational numbers
Rational numbers (ℚ) are those numbers that can be expressed as a division where the denominator is not equal to zero. Rational numbers are expressed as follows:
Irrational numbers ℚ* are numbers that cannot be written as the quotient of two integers, and their decimal places cannot be given a period and their number of decimal places is indefinite.
Types of numerical sets
Real numbers
They are all the numbers that exist, whatever they are: natural, integers, rational or irrational. The numbers that are not real are called imaginary numbers. The imaginary number i is equal to the square root of -1, that is, it does not exist and therefore... you have to imagine it!
SUPPORT MATERIAL
To find material related to number sets, click on "+info".
+ info
DEVELOPED EXERCISES
CLICK
References
- Aprendiendo Matemática. (2021, 18 marzo). CONJUNTOS NUMÉRICOS | Explicación detallada | MUY FÁCIL | [Vídeo]. YouTube. https://www.youtube.com/watch?v=RDn8UdSnN8QManuel. (2023, 23 febrero).
- Carlapaget. (2021, 7 abril). NÚMEROS NATURALES. Wordwall - Crea Mejores Lecciones de Forma Más Rápida. https://wordwall.net/es/resource/14116186/n%C3%BAmeros-naturales
- Guía de conjuntos numéricos - Mates fáciles. Mates Fáciles. https://lasmatesfaciles.com/2023/02/21/guia-de-conjuntos-numericos/
- Integers Timed Tests Play Integers Timed Tests. (s. f.).
https://www.hoodamath.com/games/integerstimedtests.html#gsc.tab=0
- Las Mates Fáciles. (2021, 25 febrero). ¿Qué son los Números Naturales? - Conjuntos Numéricos. [Vídeo]. YouTube. https://www.youtube.com/watch?v=sVQas1LfIUo
References
- Las Mates Fáciles. (2021c, febrero 26). ¿Qué son los Números Irracionales? - Conjuntos Numéricos. [Vídeo]. YouTube. https://www.youtube.com/watch?v=YIgOO-au2_Y
- Las Mates Fáciles. (2021e, febrero 26). ¿Qué son los Números Reales? - Conjuntos Numéricos [Vídeo]. YouTube. https://www.youtube.com/watch?v=WCf8jiU-Ji8
- MathKite. (2016, 19 diciembre). Irrational numbers - Number properties - Practice, games, exercises - MathKite. MathKite. https://mathkite.com/irrational-numbers/
- MathKite. (2016c, diciembre 19). Real numbers - Number properties - Practice, games, exercises - MathKite. MathKite. https://mathkite.com/real-numbers/
- Números racionales. (s. f.). Cerebriti.com. https://www.cerebriti.com/juegos-de-matematicas/numeros-racionales
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Transcript
A virtual learning object (VLO) Number Sets
Laureth Lisneidy Lopez Vargas Jeniffer Xiomara Barrios Sanchez
Start
Pensamiento lógico y matemático
Table of contents
Previous knowledge
Objectives
Introduction
Support material
What are numerical sets?
Types of numerical sets
Developed exercises
References
Introduction
This VLO (Virtual Learning Object) is designed to help you understand and explore the different types of number sets, from natural numbers to real numbers. Through interactive activities and detailed explanations, you will be able to strengthen your knowledge of this fundamental topic in mathematics.The importance of this VLO is that it provides a solid understanding of number sets. This is fundamental to various academic disciplines and practical applications, enhancing critical thinking, problem solving and preparing students for more advanced challenges in mathematics and in their daily lives. In terms of methodology, it is worth noting that learning is active through problem solving and interaction with the content and has a gradual approach, from the most basic to the most complex, to ensure a solid understanding.
Objectives
Previous knowledge
Natural numbers
Rationals numbers
Irrational numbers
Integer numbers
Real numbers
What are numerical sets?
Numerical sets are groupings of numbers that share certain characteristics in common. These sets are made up of numbers that can be classified according to their mathematical properties and relationships. Some of the most common numerical sets include the natural, integer, rational, irrational, and real numbers. Each set has its own distinctive rules and properties that define them and differentiate them from others.
Types of numerical sets
Integer numbers
Natural numbers
They are the ones we use to count or order and belong to the set of positive integers, represented by the symbol ℕ. Natural numbers have no decimal part, are positive and are unlimited (infinite).
Integers are a set that includes all positive and negative numbers and zero. These numbers have no decimals or fractions. They are represented by the symbol ℤ .
ℕ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . . .}
1 2 3 4 5 6
Types of numerical sets
Irrational Numbers
Rational numbers
Rational numbers (ℚ) are those numbers that can be expressed as a division where the denominator is not equal to zero. Rational numbers are expressed as follows:
Irrational numbers ℚ* are numbers that cannot be written as the quotient of two integers, and their decimal places cannot be given a period and their number of decimal places is indefinite.
Types of numerical sets
Real numbers
They are all the numbers that exist, whatever they are: natural, integers, rational or irrational. The numbers that are not real are called imaginary numbers. The imaginary number i is equal to the square root of -1, that is, it does not exist and therefore... you have to imagine it!
SUPPORT MATERIAL
To find material related to number sets, click on "+info".
+ info
DEVELOPED EXERCISES
CLICK
References
- Integers Timed Tests Play Integers Timed Tests. (s. f.).
https://www.hoodamath.com/games/integerstimedtests.html#gsc.tab=0References
¿Tienes una idea?
Usa este espacio para añadir una interactividad genial. Incluye texto, imágenes, vídeos, tablas, PDFs… ¡incluso preguntas interactivas! Tip premium: Obten información de cómo interacciona tu audiencia: