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Overview remaining weeks

Overview remaining weeks. Thur , 19/6 : Functions (3A) Tue, 24/06 : Sports day(no lesson) Wed, 25/06 : Functions (3BC – mainly revision) Tue, 01/07 : Functions (3D) Wed, 02/07 : Functions (3E) Tue, 08/07 : Functions revision Wed, 09/07 : Test (Functions and Calculus)

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Overview remaining weeks

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  1. Overview remaining weeks Thur, 19/6 : Functions (3A) Tue, 24/06 : Sports day(no lesson) Wed, 25/06 : Functions (3BC – mainly revision) Tue, 01/07 : Functions (3D) Wed, 02/07 : Functions (3E) Tue, 08/07 : Functions revision Wed, 09/07 : Test (Functions and Calculus) Tue, 15/07 : presentations Wed, 16/07 : presentations

  2. C3 (Ch 3) FUNCTIONS Task 1: Come up with a definition for a function Individually: Spend 1mins on your own thinking about key words, concepts taking notes of your ideas Share with your partner and come up with your joint definition

  3. Aim: Defining functions using the concept of mappings Example: Pets owned by children in a particular street

  4. Use this example to clarify terminology: Input : Domain: 4 children who live in a particular street Possible Outcome: Co-domainis the set of all possible pets Actual Output : Rangeis {dog, cat, rabbit, fish} since only these four different types of pet are owned by this particular set of children

  5. Use this example to clarify terminology: Domain: 4 mums at a toddler group Co-domain is children present at this group Range same as co-domain since co-domain is defined as children present at this group rather than all children

  6. Use this example to clarify terminology: Domain: 6 children who live in a particular street Co-domain allowed ages for toddler group(up to 4years) Range is {0,1,3,4} since there is no 2year old in this particular group How could you classify different types of mappings?

  7. There are four types of possible mappings: “one – to – one” “one – to – many” “many – to – one” “many – to – many”

  8. A function is a special type of mapping such that each member of the domain is mapped to one, and only one, element in the co-domain. DOMAIN The DOMAIN is the set of ALLOWED INPUTS TO A FUNCTION. CO-DOMAIN The Co-domainis the set of POSSIBLE OUTPUTS FROM A FUNCTION RANGE The range is a subset of the codomain, it is the set of ACTUAL OUTPUTS

  9. More terminology:

  10. This is a ………………. mapping. For every value of x, there is one value of 1 – 3x, and no two objects map to the same image. The co-domain and the range is also Q, since all rational numbers are the image of another rational number under this mapping. This mapping is also a function as there is only one possible image for each object.

  11. MEI link

  12. Practice/Homework: 3A:1, 4, 5

  13. Place the following mappings in the table

  14. Place the following mappings in the table

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