Opposite and collinear vectors

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Opposite and collinear vectors

Season 01

Episode 15 Time frame 1 period

Prerequisites :

^Notions^of^vetor.^Basi^notions^about^grids.

Objectives :

•

Ûnderstand ^the ônepts ôf ôpposite ând ôllinear^vetors.

Materials :

•

^Five ^groupsôf ⁴ ârds ^with ^vetors ônâ ^grid.

•

^Cards ^with non-ollinearvetors for the bingo.

•

^Cards ^with ^vetoroordinates.

1 – Matching games 25 mins

Eah student is given a ard with a vetor on agrid.

Part1:Eahstudenthastondwhointhelasshasavetoroppositetohisownvetor,

then nd a preise denition of opposite vetors.

Cards are shued then handed out bak tothe students.

Part 2 : Eah student has to nd those in the lass with a vetor ollinear to his own

vetor, then nd a preisedenition of ollinearvetors.

2 – Bingo ^{30 mins}

Eah student is handed out a ard with a vetor, with no two vetors ollinear in the

lass. Theteaherrandomlypiksaard avetor. Thestudentwho hasavetorollinear

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Document 1

^Five ^groups ôf ⁴ârds ^with ^vetors ônâ ^grid

Up Up Up

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Up Up Up

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Document 2

^Cards ^with non-ollinearvetors for the bingo

Up Up Up Up

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Up Up Up Up

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Document 3

Coordinates for the bingo

(0 , 4) (1 , 4) (1 , 3) (1 , 2) (2 , 3)

(2 , 2) (3 , 2) (2 , 1) (3 , 1) (3 , 0)

(4 , − 1) (3 , − 1) (2 , − 1) (3 , − 2) (2 , − 2) (2 , − 3) (1 , − 2) (1 , − 3) (1 , − 4) (4 , 1)

(0 , 8) (2 , 8) (2 , 6) (2 , 4) (4 , 6)

(4 , 4) (6 , 4) (4 , 2) (6 , 2) (6 , 0)

(8 , − 2) (6 , − 2) (4 , − 2) (6 , − 4) (4 , − 4) (4 , − 6) (2 , − 4) (2 , − 6) (2 , − 8) (8 , 2) (0 , − 4) ( − 1 , − 4) ( − 1 , − 3) ( − 1 , − 2) ( − 2 , − 3) ( − 2 , − 2) ( − 3 , − 2) ( − 2 , − 1) ( − 3 , − 1) ( − 3 , 0)

( − 4 , 1) ( − 3 , 1) ( − 2 , 1) ( − 3 , 2) ( − 2 , 2) ( − 2 , 3) ( − 1 , 2) ( − 1 , 3) ( − 1 , 4) ( − 4 , − 1)

(0 , 2) (0 . 5 , 2) (0 . 5 , 1 . 5) (0 . 5 , 1) (1 , 1 . 5) (1 , 1) (1 . 5 , 1) (1 , 0 . 5) (1 . 5 , 0 . 5) (1 . 5 , 0) (2 , − 0 . 5) (1 . 5 , − 0 . 5) (1 , − 0 . 5) (1 . 5 , − 1) (1 , − 1) (1 , − 1 . 5) (0 . 5 , − 1) (0 . 5 , − 1 . 5) (0 . 5 , − 2) (2 , 0 . 5) (0 , − 8) ( − 2 , − 8) ( − 2 , − 6) ( − 2 , − 4) ( − 4 , − 6) (−4 , −4) (−6 , −4) (−4 , −2) (−6 , −2) (−6 , 0)

Opposite and collinear vectors