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Understanding Relations Through Favorite Sports Case Study

Learn about relations and sets through a fun case study where Mr. Budi's children and their favorite sports are used to illustrate concepts. Explore arrow diagrams, Cartesian diagrams, and ordered pairs.

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Understanding Relations Through Favorite Sports Case Study

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  1. Relation www.ajwmathematics.wordpress.com

  2. Peta Konsep www.ajwmathematics.wordpress.com

  3. TujuanPembelajaran • Siswadapatmenyebutkandefinisirelasi • Siswadapatmenyajikanrelasidalam diagram panah, himpunanpasanganberurutan, dan diagram Cartesius www.ajwmathematics.wordpress.com

  4. Mr. Budi has five children, Riska, Dimas, Candra, Dira, and Reni. Each of them has different favorite sport. Riska likes badminton and swimming, Dimas and Candra like playing soccer, while Dira and Reni like basket and badminton. www.ajwmathematics.wordpress.com

  5. B A Riska Dimas Candra Dira Reni Badminton Swimming Basket Soccer According from a case, If Mr’ Budi’s children can be grouped into a set A, then element of set A are Riska, Dimas, Candra, Dira, dan Reni. We can write A = {Riska, Dimas, Candra, Dira, Reni}. While their favorite sports can be grouped into set B. We can write B = {Badminton, Swimming, Basket, Soccer} www.ajwmathematics.wordpress.com

  6. B A Then it can be notated into: Based from that case, the relation of them is “Favorite sports”. • Riska likesbadminton and swimming • Dimas likessoccer • Candra likessoccer • Dira likesbadminton and basket • Reni likesbadminton and basket Riska Dimas Candra Dira Reni Badminton Swimming Basket Soccer Both element of set A and element of set B have a relation which is favorite sports. This relation can be called as relation from set A to set B and also can be notated into Arrow Diagram Relation from set A to set B isThe rule which connect elements of set A with elements of set B

  7. Defining a Relation Between Two Sets with Cartesius Diagram Elements of set A can be put on horizontal line or x-axis. While elements of set B can be put on vertical line or y-axis. Every element of set A which has a relation with element of set B can be notated with (•) or (*). So Cartesius Diagram of previous relation can be seen below : www.ajwmathematics.wordpress.com

  8. MenyatakanRelasiduaHimpunandenganPasanganBerurutan Pasanganberurutandilambangkandengan (x, y) dengan x menyatakananggotasuatuhimpunantertentu, sebut A, dany menyatakan anggota dari himpunan lain, sebut B. Pada relasi gemar berolahraga sebelumnya, didapathimpunanpenggemarolah raga A = {Riska, Dimas, Candra, Dira, Reni}, dan himpunancabangolah raga B = {Badminton, Renang, Basket, Sepakbola}. Berdasarkan diagram panah sebelumnya, relasi gemar berolahraga dituliskan sebagai R = {(Riska, Renang), (Riska, Badminton), (Dimas, Sepak Bola), (Candra, Sepak Bola), (Dira, Badminton) , (Dira, Basket), (Reni, Badminton), (Reni, Basket)}. “Relasi antara himpunan X dan Ydapatdinyatakansebagaihimpunanpasanganberurutan (x, y) dengan x anggotahimpunanpertama (X) dan y anggotahimpunankedua (Y).”

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