1.
Writing Coordinates. Fill the gaps The coordinates are always ___________ in a certain order: •
•
the __________ distance first, then the ____________distance. This is ___________ an "ordered pair" (a _______ of numbers in a special ________) And ___________ the numbers are separated by a comma, and parentheses are put around the ____________ thing like this: (3,2) Example: (3,2) means 3 units ___________, and 2 units up Example: (0,5) means 0 units to the right, and 5 __________. 2.
The Origin. Fill the gaps The point ________ is given the special name "The _______", and is sometimes given the letter "_______". 3.
Abscissa and Ordinate You may hear the words "Abscissa" and "Ordinate" ... they are just the _____ and ____ values: •
•
Abscissa: the ________ ("x") value in a pair of coordinates: how far _______ the point is. Ordinate: the _________ ("y") value in a pair of _____________: how far ___ or _______ the point is. 4. Can you please complete this chart?
Quadrant X (horizontal) Y (vertical)
Example I Positive Positive (3,2) II III (‐2,‐1) IV 06_2º ESO_FUNCTIONS_students Página 1 de 14 5.
Write down the coordinates of the following points
6.
Write down the coordinates of the following points
06_2º ESO_FUNCTIONS_students Página 2 de 14 7. POINTS THAT CONTAIN INFORMATION Cada punto de este gráfico representa una bolsa de azúcar.
A.
B.
C.
D.
E.
¿Qué bolsa es la más pesada? ¿Qué bolsa es la más barata? ¿Qué bolsas tienen el mismo peso? ¿Qué bolsas tienen el mismo precio? ¿Qué bolsa sale mejor de precio: F ó C? . ¿Por qué?. 06_2º ESO_FUNCTIONS_students Página 3 de 14 8.
What do you think a function is? Write a sentence or a key word to
understand
9.
What is a Function?I Fill the gaps.
A function relates an ___________ to an ____________. It is like a ___________ that has an input and an output. And the output is ___________somehow to the input. In other words we can say a _____________ is a ________ that is applied to _______ set of values to give _________ set of __________. Each value in the first set is related to _______ one value in the __________. We can find ______ such as: “________”, “__________” and “________”. They are all ___________. A function is represented by the letter f. f(x) is the classic way of writing a function. 10.
Let´s try the “MACHINE”:
Double is f(x) = 2x, Can you give us at least 4 values of both sets? Square is f(x) = x2, Can you give us at least 4 values of both sets? Add one f(x) = x +1, Can you give us at least 4 values of both sets? 06_2º ESO_FUNCTIONS_students Página 4 de 14 11.
Discuss with your partner if this sentence is TRUE OR FALSE.
“ In a function for one value in the first set you can find one or more values in the second set”. 12.
13. Is that a function?
What is a Function?II. Fill the gaps. You can _______ write a function as y = 2x. Usually the sets are ________ (magnitudes) and their elements are called ________. The first one is the __________variable (it´s common to _________ it with the letter ____) and the second one is called the __________ variable (it´s common to identify it with the letter ___) For example: y = 2x We are going to see many ways to think about functions, but there will always be three main parts: 06_2º ESO_FUNCTIONS_students Página 5 de 14 •
•
•
______________
______________
_____________
14.
Can you please complete the following chart with a function? 06_2º ESO_FUNCTIONS_students Página 6 de 14 GRAPHIC REPRESENTATION 06_2º ESO_FUNCTIONS_students Página 7 de 14 06_2º ESO_FUNCTIONS_students Página 8 de 14 06_2º ESO_FUNCTIONS_students Página 9 de 14 06_2º ESO_FUNCTIONS_students Página 10 de 14 06_2º ESO_FUNCTIONS_students Página 11 de 14 06_2º ESO_FUNCTIONS_students Página 12 de 14 13. INCREASE AND DECREASE 14. REPRESENTING FUNCTIONS type y =mx: AFINES En la siguiente tabla tienes los costes de un parking en función del tiempo: Tiempo(horas) 0 1 2 3 4 …. x Coste (euros) 0 1.5 3 4.5 6 …. Dibuja la función y completa la tabla En la siguiente tabla tienes los costes de tomates en función de la cantidad: Cantidad(kg) 0 1 2 3 4 …. x Coste (euros) 0 0.5 1 1.5 3 …. En la siguiente tabla tienes los costes del alquiler de una canoa. Cuesta 1 euro cada hora pero previamente hay que pagar 1.5 euros para entrar en el lago. Tiempo(horas) 0 1 2 3 4 …. x Coste (euros) 1.5 2.5 3.5 4.5 5.5 …. 06_2º ESO_FUNCTIONS_students Página 13 de 14 06_2º ESO_FUNCTIONS_students Página 14 de 14
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