El dueño de una casa quiere construir un jardín rodeado de baldosas de hormigón. El jardín puede tener diferentes largos, pero su ancho es fijo. Él no está seguro de qué tamaño quiere que sea el jardín. Estos son bocetos de jardines que miden 1, 2 y 3 metros de largo. El dueño quiere saber cuántas baldosas de hormigón se necesitarían según el largo del jardín.
Completa la tabla para mostrar cuántas baldosas se necesitan si el jardín mide 1, 2, 3, 4 o 5 metros de largo.
largo del jardín
número de baldosas
1
2
3
4
5
Describe cómo crece el patrón.
Are You Ready for More?
2.2
Activity
Representemos relaciones
Standards Alignment
Building On
Addressing
8.F.4
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
La ecuación describe la relación entre la temperatura en grados Celsius y la temperatura en grados Fahrenheit.
Describe esta relación con palabras.
Completa la tabla con las temperaturas correspondientes en grados Celsius y en grados Fahrenheit.
Haz una gráfica que represente la relación.
temperatura ()
temperatura ()
23
-5
41
5
50
104
40
122
212
100
Para responder cada pregunta, ¿cuál representación usarías: la ecuación, la tabla o la gráfica? Prepárate para explicar tu razonamiento.
¿Cuál es la temperatura de un horno en grados Fahrenheit si el horno está a ?
Si estás en Canadá y el pronóstico es de , ¿será un día frío, templado o caliente al aire libre?
La temperatura al aire libre es . ¿Cómo se expresaría esta temperatura en grados Celsius?
2.3
Activity
Clasificación de tarjetas: ¿De quién es esa representación?
Standards Alignment
Building On
Addressing
6.EE.9
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Tu profesor te dará varias tarjetas. Cada tarjeta tiene una descripción verbal, una tabla o una gráfica. Agrupa las tarjetas en grupos de a tres, en los que las tres tarjetas representen la misma situación. Si en una situación falta una de las tres representaciones, usa una de las tarjetas en blanco para crear esa representación.
Glossary
None
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Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.