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Patricia Arnal

Es bien conocido que la matemática está presente en nuestro día a día. Pensemos una situación: al comprar un celular se nos presentan dos opciones: para la tienda A, los clientes tienen un ticket con un 5% de descuento, pero además la tienda ofrece un 10% de descuento sobre el total abonado. La tienda B ofrece un 15% de descuento ¿Ambas tiendas ofrecen el mismo porcentaje de descuento? Estos escenarios y otros que van desde transacciones cotidianas hasta complejas decisiones de inversión, elección de un préstamo con mejor financiamiento, cálculo del interés, entre otras, requieren una comprensión profunda de los cálculos matemáticos. Saber operar correctamente nos permite gestionar desde un presupuesto hasta optimizar el desarrollo de tareas o la interpretación de datos. Este curso se propone dotarte de las habilidades necesarias para abordar estos desafíos con confianza y precisión. Te proponemos recorrer este curso de una manera distinta; te invitamos a hacerlo como si estuvieras abriendo puertas en una sala de escape. En distintos momentos, te dejaremos un desafío para resolver y te indicaremos qué parte de la solución deberás guardar hasta el final para poder hallar tu salida. Exploraremos los fundamentos esenciales en cuatro módulos. En el primero, analizaremos por qué algunos desafíos matemáticos tienen resultados distintos, abordaremos la operatoria y perfeccionaremos el uso correcto de los paréntesis y el volcado de datos en la calculadora. En el segundo módulo, nos sumergiremos en ecuaciones e inecuaciones, “traduciremos” situaciones cotidianas al lenguaje simbólico, resolveremos ecuaciones y sistemas de ecuaciones y plantearemos desafíos virales. El tercer módulo se sumerge en el mundo de los polinomios, explorando su operatoria y la importancia de la factorización, mientras que nos enfrentamos a nuevos desafíos matemáticos. Finalmente, en el cuarto módulo, trabajaremos expresiones algebraicas, explorando su operatoria y simplificación.

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Syllabus

Operaciones básicas y propiedades
En esta semana trabajaremos con el orden de las operaciones en un cálculo combinado, analizaremos el uso de los paréntesis y de estrategias efectivas para el uso de la calculadora, incluyendo el ingreso de la expresión a calcular y la lectura de los resultados expresados en forma científica. Además, abordaremos las potencias y sus propiedades.
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Ecuaciones e inecuaciones
En esta semana abordaremos los temas de ecuaciones e inecuaciones; trabajaremos con lenguaje simbólico, utilizaremos las reglas implícitas en el llamado “pasaje de términos” que nos permitirán resolver ecuaciones e inecuaciones. Resolveremos sistemas de ecuaciones y aplicaremos todo lo aprendido a la resolución de situaciones problemáticas de nuestra vida cotidiana.
Polinomios
Polinomios será el tema de esta semana, vamos a realizar operaciones básicas, veremos algunos errores frecuentes, también analizaremos la importancia de la factorización, trabajaremos con la regla de Ruffini.
Expresiones algebraicas racionales
En la última semana del curso, los temas que abordaremos son proporcionalidad, directa e inversa; construiremos tablas, gráficos y fórmulas, y nos encontraremos con las expresiones algebraicas fraccionarias. Revisaremos cómo operar con ellas para llevarlas a su mínima expresión, simplificando.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Perfecto para principiantes con poca base en matemáticas
Perfecto para fortalecer la base de principiantes en matemáticas
Quizás no sea apto para aquellos con conocimientos intermedios o avanzados en matemáticas

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Matemática Preuniversitaria with these activities:
Review Order of Operations
Review the order of operations (PEMDAS) to ensure a solid foundation for mathematical calculations.
Browse courses on Order of Operations
Show steps
  • Familiarize yourself with the acronym PEMDAS
  • Practice applying PEMDAS to simple expressions
  • Solve problems involving multiple operations
Solving Equations and Inequalities Practice
Engage in repetitive practice solving equations and inequalities to enhance problem-solving skills.
Browse courses on Equations
Show steps
  • Start with basic one-step equations
  • Progress to multi-step equations and inequalities
  • Apply techniques like isolating the variable and combining like terms
Polynomials Visual Representation
Create visual representations (e.g., graphs) of polynomials to gain a deeper understanding of their behavior.
Browse courses on Polynomials
Show steps
  • Plot points for a given polynomial function
  • Identify the shape and key features of the graph
  • Relate the visual representation to the algebraic expression
Show all three activities

Career center

Learners who complete Matemática Preuniversitaria will develop knowledge and skills that may be useful to these careers:
Mathematician
Mathematicians use math to solve problems and develop new mathematical theories. This course introduces you to the fundamentals of mathematics, including algebra, calculus, and statistics. You will learn how to use these skills to solve problems, prove theorems, and develop new mathematical theories.
Investment Analyst
Investment Analysts use math to analyze investment opportunities and make recommendations to clients. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to analyze financial statements, create financial models, and make investment decisions.
Financial Analyst
Financial Analysts use math to analyze financial data and make investment recommendations. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to analyze financial statements, create financial models, and make sound investment decisions.
Quantitative Analyst
Quantitative Analysts use math to develop and implement trading strategies. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to build financial models, analyze data, and make trading decisions.
Operations Research Analyst
Operations Research Analysts use math to solve problems in business and industry. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to model business processes, optimize operations, and make decisions.
Market Researcher
Market Researchers use math to analyze market data and identify trends. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, statistics, and probability. You will learn how to use these skills to conduct market research surveys, analyze data, and write reports.
Operations Manager
Operations Managers use math to optimize business processes and make decisions. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to model business processes, analyze data, and make decisions.
Product Manager
Product Managers use math to develop and manage products. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to analyze market data, develop product roadmaps, and make product decisions.
Actuary
Actuaries use math to assess and manage risk in the insurance industry. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to calculate insurance premiums, develop insurance products, and assess the financial risks of insurance companies.
Statistician
Statisticians use math to collect, analyze, and interpret data. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to design experiments, conduct surveys, and analyze data.
Risk Manager
Risk Managers use math to assess and manage risk. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to identify risks, measure their impact, and develop mitigation strategies.
Economist
Economists use math to analyze economic data and make predictions about the economy. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to analyze economic trends, forecast economic growth, and develop economic policies.
Software Engineer
Software Engineers use math to develop and maintain software applications. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, calculus, and statistics. You will learn how to use these skills to design software algorithms, write code, and test software applications.
Data Analyst
Data Analysts use math to analyze data and draw conclusions from it. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, geometry, and statistics. You will learn how to use these skills to solve problems and make informed decisions.
Teacher
Teachers use math to teach students about the world around them. This course introduces you to the fundamentals of mathematics that are essential for this role, including algebra, geometry, and statistics. You will learn how to use these skills to create lesson plans, teach math concepts, and assess student learning.

Reading list

We've selected 11 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Matemática Preuniversitaria.
Classic introduction to mathematics that covers a wide range of topics, from the history of mathematics to the latest developments in the field. It valuable resource for students who are looking to gain a deeper understanding of mathematics.
Este libro es una exploración de la historia y el desarrollo de las matemáticas, desde los primeros sistemas de numeración hasta los conceptos matemáticos más avanzados. Es un recurso valioso para los estudiantes que buscan una comprensión más amplia de las matemáticas.
Classic textbook on calculus that covers all the topics typically taught in a first-year college course. It valuable resource for students who are looking to develop a strong foundation in calculus.
Comprehensive exploration of the history and development of mathematics, from the early Greeks to the present day. It valuable resource for students who are looking to gain a deeper understanding of the role of mathematics in human history and culture.
Comprehensive textbook on algebra and trigonometry that covers all the topics typically taught in a high school or college course. It valuable resource for students who are looking to develop a strong foundation in these subjects.
Comprehensive textbook on statistics for the life sciences that covers all the topics typically taught in a college course. It valuable resource for students who are looking to develop a strong foundation in statistics.
Comprehensive textbook on mathematics for economics and business that covers all the topics typically taught in a college course. It valuable resource for students who are looking to develop a strong foundation in mathematics for their chosen field.
Este libro de texto integral cubre una amplia gama de temas matemáticos, proporcionando una base completa para el curso.
Collection of mathematical puzzles, games, and essays that is sure to entertain and challenge readers of all ages. It valuable resource for students who are looking to expand their mathematical horizons.
Este libro es una colección de rompecabezas, juegos y curiosidades matemáticas. Es un recurso divertido y educativo para los estudiantes que buscan ampliar sus conocimientos matemáticos.

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