La falta de control adecuado y la invisibilidad de las causas, como el lucro económico, pueden dar lugar al hurto de dinero e información personal y comprometer sitios web y redes corporativas.
This document discusses ratios and their associated values. It provides examples of setting up ratios for scenarios involving gumballs, film lengths, shrimp, and peanut butter preferences. It also defines what the associated ratios are for a given ratio and explains that the value of a ratio where the terms can be measured in the same unit is the quotient of the two terms. Students are provided examples and exercises to practice working with ratios and determining their associated values.
La vulnerabilidad de los sistemas operativos permite que los piratas informáticos penetren en demasiados sistemas importantes de Internet, como bancos, y realicen transferencias electrónicas de divisas de forma ilegal.
El documento habla sobre los piratas cibernéticos que operan fácilmente adquiriendo software ilegal y induciendo a error a personas para acceder a sus cuentas, lo que resulta en gastos incalculables. Propone tres soluciones: 1) educar a jóvenes y adultos sobre cómo detectar software ilegal, 2) establecer leyes con penas para delitos cibernéticos, y 3) encontrar formas de adquirir software a menor costo.
The document announces a series of QuickBooks workshops presented by the Shasta College Small Business Development Center. The workshops cover topics such as setting up a QuickBooks company, using QuickBooks for retail and service industries, construction, payroll, tracking payroll liabilities, sales tax, advanced features, and year-end procedures. Each workshop will be taught by Mary Richmond and will cost $35 per person. Attendees can schedule a no-cost one-on-one appointment with Mary Richmond after attending the workshops.
This lesson teaches students how to solve problems involving rates, unit rates, and conversions. It provides examples of comparing rates of cutting lawns, restaurant advertising, animal survival, and typing speed. Key points are that constant rates involve a quantity per unit of time, unit rates are found by dividing the quantity by the time, and converting rates to the same unit of time allows direct comparison. Students practice finding faster rates, unit rates, and comparing rates in word problems.
La falta de control adecuado y la invisibilidad de las causas, como el lucro económico, pueden dar lugar al hurto de dinero e información personal y comprometer sitios web y redes corporativas.
This document discusses ratios and their associated values. It provides examples of setting up ratios for scenarios involving gumballs, film lengths, shrimp, and peanut butter preferences. It also defines what the associated ratios are for a given ratio and explains that the value of a ratio where the terms can be measured in the same unit is the quotient of the two terms. Students are provided examples and exercises to practice working with ratios and determining their associated values.
La vulnerabilidad de los sistemas operativos permite que los piratas informáticos penetren en demasiados sistemas importantes de Internet, como bancos, y realicen transferencias electrónicas de divisas de forma ilegal.
El documento habla sobre los piratas cibernéticos que operan fácilmente adquiriendo software ilegal y induciendo a error a personas para acceder a sus cuentas, lo que resulta en gastos incalculables. Propone tres soluciones: 1) educar a jóvenes y adultos sobre cómo detectar software ilegal, 2) establecer leyes con penas para delitos cibernéticos, y 3) encontrar formas de adquirir software a menor costo.
The document announces a series of QuickBooks workshops presented by the Shasta College Small Business Development Center. The workshops cover topics such as setting up a QuickBooks company, using QuickBooks for retail and service industries, construction, payroll, tracking payroll liabilities, sales tax, advanced features, and year-end procedures. Each workshop will be taught by Mary Richmond and will cost $35 per person. Attendees can schedule a no-cost one-on-one appointment with Mary Richmond after attending the workshops.
This lesson teaches students how to solve problems involving rates, unit rates, and conversions. It provides examples of comparing rates of cutting lawns, restaurant advertising, animal survival, and typing speed. Key points are that constant rates involve a quantity per unit of time, unit rates are found by dividing the quantity by the time, and converting rates to the same unit of time allows direct comparison. Students practice finding faster rates, unit rates, and comparing rates in word problems.
The document provides instructions for using a scientific calculator. It includes diagrams showing the location of keys like ON, 2nd, DEL, and π. It describes how to access functions using the 2nd button, like INS, %, and RESET. It provides examples of calculations involving addition, subtraction, multiplication, division, percentages, and correcting syntax errors. The goal is to practice using the scientific calculator to perform various mathematical operations and functions.
Dos niños patinaban sobre una laguna congelada cuando uno cayó al agua tras romperse el hielo. Su amigo logró salvarlo golpeando fuertemente el hielo con una piedra hasta quebrarlo, a pesar de que el hielo estaba muy grueso y sus manos eran pequeñas. Cuando los bomberos llegaron y vieron lo sucedido, se preguntaron cómo lo había hecho. Un abuelo explicó que lo logró porque nadie le dijo que no podía hacerlo, insinuando que a veces se afirma que algo no
Animation is evolving in many directions, according to this article. Computer-generated imagery is increasingly popular and used in both animated films from Pixar and commercials. Other forms of animation discussed include motion capture, claymation, rotoscoping, and digital puppetry. The article provides several examples of how each technique is being used and discusses both the artistic advances and high expectations audiences now have for animation due to films like Pixar's Toy Story.
This document is a lesson on calculating area for different shapes. It provides formulas for finding the area of rectangles, parallelograms, and triangles. Examples are given of applying the formulas to find the area of various figures. The area of a parallelogram with a base of 6.5 inches and height of 4 inches is calculated to be 26 square inches. The area of a rectangular yard that is 10 feet wide and 26 feet long is calculated to be 260 square feet.
ABC Digital lanzará iABC, el primer sitio de noticias optimizado para teléfonos móviles en Paraguay, para acercar la información a los lectores a través de esta nueva vía. El sitio permitirá a los lectores visualizar noticias, fotos y videos directamente desde sus teléfonos así como compartir contenidos e interactuar con herramientas online. Su lanzamiento oficial será en la Expo de Mariano Roque Alonso.
This document describes a lesson on tables of equivalent ratios. It includes two examples of creating ratio tables to represent relationships between quantities. The lesson notes indicate that the teacher should model using tables to solve problems, without explanation, so that students learn tables are a useful tool. The student outcomes are that students understand ratios can describe relationships between quantities and that a ratio table displays equivalent ratios.
El documento describe cómo la piratería en internet se ha convertido en un negocio lucrativo que opera como empresas legítimas. Estas "empresas" piratean información de manera organizada y efectiva utilizando técnicas cada vez más sofisticadas como gusanos, spam y robo de información privada de empresas y personas. La falta de controles y la naturaleza clandestina de estas actividades piratas les permite operar a gran escala y causar perjuicios patrimoniales.
This document contains notes from a mathematics lesson on reading algebraic expressions where letters stand for numbers. It includes examples of expressing simple expressions using words like "sum", "difference", "product" and "quotient". Students practice identifying the operations in expressions and writing expressions using words. The lesson aims to help students read algebraic expressions and identify the parts using proper mathematical terms for operations.
This document provides a lesson on distributing expressions. It includes examples of distributing numbers outside parentheses to terms inside. Models are used to represent expressions and show equivalence. Students practice expanding expressions using the distributive property, including writing equivalent expressions and checking their work with substitution. The lesson emphasizes that distributing a number multiplies it to each term inside the parentheses.
This document discusses using ratio tables to determine the value of a ratio and write equations to model relationships. It provides examples of ratio tables for mixing paint, ratios of men to women in military training, and minutes spent running versus walking during training for a half marathon. Students are asked to complete ratio tables, determine ratio values, and write equations to represent different relationships.
This document provides a lesson on equivalent ratios for 6th grade students. It includes examples and exercises for students to practice determining if two ratios are equivalent. The key points are:
- Ratios are equivalent if there is a positive number that can be multiplied to each part of one ratio to equal the corresponding parts of the second ratio.
- Tape diagrams can be used to represent ratios and determine if the diagrams have a consistent unit value, showing the ratios are equivalent.
- Students work through sample problems applying the definition of equivalent ratios and using tape diagrams to justify their answers.
This document contains a mathematics lesson on comparing ratios using ratio tables. It includes examples of creating ratio tables to compare rates of texting between students and amounts of water and juice concentrate in homemade juices. Students are asked to use ratio tables to determine which juices have the strongest or weakest taste, which swimmer is faster, and which moon would make a person weigh the most. The lesson demonstrates how to set up, extend if needed, and compare ratio tables to determine relationships between quantities.
This document describes a lesson on finding the distance between points on the coordinate plane. It provides examples of computing distances between points that lie on the x- or y-axis, as well as points that lie on a vertical or horizontal line but not on an axis. Students practice finding distances and lengths of line segments by determining if points share a common x- or y-coordinate, and then adding or subtracting the absolute values of the coordinate differences. The lesson emphasizes that the same approach used for the number line can be applied to vertical and horizontal lines in the plane.
The document provides instructions on solving integer equations using inverse operations. It lists the rules for adding, subtracting, multiplying and dividing integers. It then provides 21 practice problems to solve integer equations, with the solutions shown. The goal is to use inverse operations to isolate the variable term and apply the integer rules to determine its value.
This document provides an overview of the topics, pacing, and vocabulary covered in a unit on number theory and operations with fractions. The unit on number theory covers prime and composite numbers, factors and prime factorization, greatest common factors, and properties of numbers. The unit on operations with fractions covers converting between decimals and fractions, adding, subtracting, multiplying, and dividing fractions. The document includes example problems for students to practice these skills.
The document provides instructions for calculating the surface area of various 3D shapes. It defines surface area as the sum of the areas of all surfaces of a solid figure. It then works through examples of finding the surface area of a triangular prism and rectangular prism by calculating the area of each face and adding them together. Students are provided practice problems to find the surface area of additional prisms.
- The document discusses ratios and equivalent ratios. It explains that two ratios are equivalent if they have the same value, where the value of a ratio is the quotient of the two terms.
- Students work through examples to understand that the values of equivalent ratios are always equal. They also try unsuccessfully to provide counter-examples to the theorem that if two ratios are equivalent, they have the same value.
- An example problem asks students to use the value of a ratio to determine if ratios describing a student's training are equivalent or not.
This document appears to be a practice test for a math unit covering topics like place value, operations, properties, expressions, equations, and word problems. It contains 16 multiple choice and short answer questions testing these concepts. The questions involve rewriting numbers, estimating sums, evaluating expressions, writing equations from words, solving two-step equations, and using properties.
This lesson teaches students about the relationship between addition and subtraction through the use of tape diagrams and algebraic expressions. Students explore identities such as w - x + x = w by building tape diagrams that represent adding and then subtracting the same amount. They recognize that regardless of the numbers used, adding a number and then subtracting the same number will result in the original amount. Students practice writing number sentences to represent identities and evaluating expressions that involve addition and subtraction of the same terms. The lesson aims to help students understand that identities will always be true no matter what numbers are substituted in.
The document provides instructions on dividing fractions and mixed numbers, including definitions of key terms like reciprocal and examples of dividing fractions and mixed numbers. It explains the steps to divide fractions and mixed numbers, which involve changing the division to multiplication using the reciprocal of the second term and then multiplying the numerators and denominators. Several practice problems are included for students to work through.
The document provides instructions for using a scientific calculator. It includes diagrams showing the location of keys like ON, 2nd, DEL, and π. It describes how to access functions using the 2nd button, like INS, %, and RESET. It provides examples of calculations involving addition, subtraction, multiplication, division, percentages, and correcting syntax errors. The goal is to practice using the scientific calculator to perform various mathematical operations and functions.
Dos niños patinaban sobre una laguna congelada cuando uno cayó al agua tras romperse el hielo. Su amigo logró salvarlo golpeando fuertemente el hielo con una piedra hasta quebrarlo, a pesar de que el hielo estaba muy grueso y sus manos eran pequeñas. Cuando los bomberos llegaron y vieron lo sucedido, se preguntaron cómo lo había hecho. Un abuelo explicó que lo logró porque nadie le dijo que no podía hacerlo, insinuando que a veces se afirma que algo no
Animation is evolving in many directions, according to this article. Computer-generated imagery is increasingly popular and used in both animated films from Pixar and commercials. Other forms of animation discussed include motion capture, claymation, rotoscoping, and digital puppetry. The article provides several examples of how each technique is being used and discusses both the artistic advances and high expectations audiences now have for animation due to films like Pixar's Toy Story.
This document is a lesson on calculating area for different shapes. It provides formulas for finding the area of rectangles, parallelograms, and triangles. Examples are given of applying the formulas to find the area of various figures. The area of a parallelogram with a base of 6.5 inches and height of 4 inches is calculated to be 26 square inches. The area of a rectangular yard that is 10 feet wide and 26 feet long is calculated to be 260 square feet.
ABC Digital lanzará iABC, el primer sitio de noticias optimizado para teléfonos móviles en Paraguay, para acercar la información a los lectores a través de esta nueva vía. El sitio permitirá a los lectores visualizar noticias, fotos y videos directamente desde sus teléfonos así como compartir contenidos e interactuar con herramientas online. Su lanzamiento oficial será en la Expo de Mariano Roque Alonso.
This document describes a lesson on tables of equivalent ratios. It includes two examples of creating ratio tables to represent relationships between quantities. The lesson notes indicate that the teacher should model using tables to solve problems, without explanation, so that students learn tables are a useful tool. The student outcomes are that students understand ratios can describe relationships between quantities and that a ratio table displays equivalent ratios.
El documento describe cómo la piratería en internet se ha convertido en un negocio lucrativo que opera como empresas legítimas. Estas "empresas" piratean información de manera organizada y efectiva utilizando técnicas cada vez más sofisticadas como gusanos, spam y robo de información privada de empresas y personas. La falta de controles y la naturaleza clandestina de estas actividades piratas les permite operar a gran escala y causar perjuicios patrimoniales.
This document contains notes from a mathematics lesson on reading algebraic expressions where letters stand for numbers. It includes examples of expressing simple expressions using words like "sum", "difference", "product" and "quotient". Students practice identifying the operations in expressions and writing expressions using words. The lesson aims to help students read algebraic expressions and identify the parts using proper mathematical terms for operations.
This document provides a lesson on distributing expressions. It includes examples of distributing numbers outside parentheses to terms inside. Models are used to represent expressions and show equivalence. Students practice expanding expressions using the distributive property, including writing equivalent expressions and checking their work with substitution. The lesson emphasizes that distributing a number multiplies it to each term inside the parentheses.
This document discusses using ratio tables to determine the value of a ratio and write equations to model relationships. It provides examples of ratio tables for mixing paint, ratios of men to women in military training, and minutes spent running versus walking during training for a half marathon. Students are asked to complete ratio tables, determine ratio values, and write equations to represent different relationships.
This document provides a lesson on equivalent ratios for 6th grade students. It includes examples and exercises for students to practice determining if two ratios are equivalent. The key points are:
- Ratios are equivalent if there is a positive number that can be multiplied to each part of one ratio to equal the corresponding parts of the second ratio.
- Tape diagrams can be used to represent ratios and determine if the diagrams have a consistent unit value, showing the ratios are equivalent.
- Students work through sample problems applying the definition of equivalent ratios and using tape diagrams to justify their answers.
This document contains a mathematics lesson on comparing ratios using ratio tables. It includes examples of creating ratio tables to compare rates of texting between students and amounts of water and juice concentrate in homemade juices. Students are asked to use ratio tables to determine which juices have the strongest or weakest taste, which swimmer is faster, and which moon would make a person weigh the most. The lesson demonstrates how to set up, extend if needed, and compare ratio tables to determine relationships between quantities.
This document describes a lesson on finding the distance between points on the coordinate plane. It provides examples of computing distances between points that lie on the x- or y-axis, as well as points that lie on a vertical or horizontal line but not on an axis. Students practice finding distances and lengths of line segments by determining if points share a common x- or y-coordinate, and then adding or subtracting the absolute values of the coordinate differences. The lesson emphasizes that the same approach used for the number line can be applied to vertical and horizontal lines in the plane.
The document provides instructions on solving integer equations using inverse operations. It lists the rules for adding, subtracting, multiplying and dividing integers. It then provides 21 practice problems to solve integer equations, with the solutions shown. The goal is to use inverse operations to isolate the variable term and apply the integer rules to determine its value.
This document provides an overview of the topics, pacing, and vocabulary covered in a unit on number theory and operations with fractions. The unit on number theory covers prime and composite numbers, factors and prime factorization, greatest common factors, and properties of numbers. The unit on operations with fractions covers converting between decimals and fractions, adding, subtracting, multiplying, and dividing fractions. The document includes example problems for students to practice these skills.
The document provides instructions for calculating the surface area of various 3D shapes. It defines surface area as the sum of the areas of all surfaces of a solid figure. It then works through examples of finding the surface area of a triangular prism and rectangular prism by calculating the area of each face and adding them together. Students are provided practice problems to find the surface area of additional prisms.
- The document discusses ratios and equivalent ratios. It explains that two ratios are equivalent if they have the same value, where the value of a ratio is the quotient of the two terms.
- Students work through examples to understand that the values of equivalent ratios are always equal. They also try unsuccessfully to provide counter-examples to the theorem that if two ratios are equivalent, they have the same value.
- An example problem asks students to use the value of a ratio to determine if ratios describing a student's training are equivalent or not.
This document appears to be a practice test for a math unit covering topics like place value, operations, properties, expressions, equations, and word problems. It contains 16 multiple choice and short answer questions testing these concepts. The questions involve rewriting numbers, estimating sums, evaluating expressions, writing equations from words, solving two-step equations, and using properties.
This lesson teaches students about the relationship between addition and subtraction through the use of tape diagrams and algebraic expressions. Students explore identities such as w - x + x = w by building tape diagrams that represent adding and then subtracting the same amount. They recognize that regardless of the numbers used, adding a number and then subtracting the same number will result in the original amount. Students practice writing number sentences to represent identities and evaluating expressions that involve addition and subtraction of the same terms. The lesson aims to help students understand that identities will always be true no matter what numbers are substituted in.
The document provides instructions on dividing fractions and mixed numbers, including definitions of key terms like reciprocal and examples of dividing fractions and mixed numbers. It explains the steps to divide fractions and mixed numbers, which involve changing the division to multiplication using the reciprocal of the second term and then multiplying the numerators and denominators. Several practice problems are included for students to work through.