ALGEBRA 2 HONORS QUADRATIC FUNCTIONS TOURNAMENT REVIEW

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1 ALGEBRA 2 HONORS QUADRATIC FUNCTIONS TOURNAMENT REVIEW

2 Thanks for downloading my product! Be sure to follow me for new products, free items and upcoming sales QUADRATIC FUNCTIONS TOURNAMENT REVIEW ACTIVITY The tournament review activity is a game composed of content-relevant questions designed to test the knowledge students gain from class presentations and homework. Games are played at tables of four students. Most games are simply numbered questions on a handout. A student picks a number card and attempts to answer the question corresponding to the number. A challenge rule permits players to challenge each other's answers. Please visit my store for more engaging task card activities.

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4 Tournament Review Overview The games are composed of content-relevant questions designed to test the knowledge students gain from class presentations and homework. Games are played at tables of four students. Most games are simply numbered questions on a handout. A student picks a number card and attempts to answer the question corresponding to the number. A challenge rule permits players to challenge each other's answers. PREPARATION: SET UP: Class set of tournament sheets (usually a practice test) Answer sheets (one per table) Tournament number cards (one set per table) can be made from 3 5 cards or manila folders. I ve included an electronic set. Assign students to groups using last test, interim grades, etc. One student at the table should make a "SCORE SHEET" to record points earned. Students should read "Tournament Rules" sheet the first time they play. END OF TOURNAMENT: About 7 minutes from the end, tell teams to FINISH THE ROUND. This gives everyone the same number of turns to be GOLDEN. Then it's FAIR!!! No one leaves until the room is cleaned up. Read results at each table, this prevents score sheets not coming in, and scores filled in incorrectly. Figure out the results and prizes (if any) during the test the next day.

5 Tournament Rules 1. Fill out a score sheet a piece of paper with the names of the people in the group. 2. Shuffle the cards. 3. Each person picks a card from the top of the deck. Highest card is the first GOLDEN CHILD. Return cards to the deck. 4. GOLDEN CHILD picks the top card. Everyone works the problem on the tournament sheet that corresponds to the number on the card. 5. The GOLDEN CHILD is first to answer. If they are unsure of the answer, they may guess without penalty. 6. The person to the left of the Golden Child has the option of challenging by giving a different answer. Otherwise, they may pass. 7. Then, the next person may challenge if he or she has a different answer from the first two. 8. CHALLENGERS HAVE TO BE CAREFUL, HOWEVER, BECAUSE THEY LOSE A CARD (IF THEY HAVE ONE) IF THEY ARE WRONG. 9. When everyone has answered, challenged, or passed, the player to the GOLDEN CHILD'S right checks the answer on the answer sheet and reads the right answer aloud. 10. The player who gave the right answer keeps the card. If either challenger gave a wrong answer, he or she must return a previously won card to the deck. 11. If no one gave the correct answer, the card is returned to the deck. 12. Play continues to the left for the next round. So each person takes turns at being the GOLDEN CHILD. 13. Play continues until the deck is exhausted or time runs out. 14. When the game is over, players record the number of cards they won on the Game Score Sheet.

6 QUADRATIC FUNCTIONS TOURNAMENT REVIEW Solve by graphing: 1. yy = (xx 3) 2 2. yy = (xx + 2) yy = xx 2 + 2xx 4 4. yy = 2(xx 1) Describe the transformations of the parent graph yy = xx 22 for each function: 5. yy = 3(xx 4) yy = 1 2 (xx + 2) yy = 1.5xx yy = 1 (xx 1)2 4 Write the equation for the parabola in vertex form yy = aa(xx hh) 22 + kk: 9. yy = xx 2 + 6xx yy = xx 2 + 4xx yy = 2xx 2 12xx yy = 3xx 2 6xx + 7 Find the vertex and determine whether this is a maximum or minimum: 13. yy = xx 2 + 4xx yy = 2xx 2 + 6xx yy = xx 2 6xx yy = 3xx xx + 4 Use a matrix to find the equation for a parabola passing through the following points. 17. ( 2, 11); (1, 1); (2, 9) 18. ( 2, 15); ( 1,6); (2, 3) Factor: 19. 4xx 2 + 4xx xx 2 12xx xx 2 + 9xx xx xx 2 9xx xx 2 13xx 10

7 Solve by factoring: xx 2 = xx = 15xx 27. 5xx 2 40xx = xx 2 7xx 4 = xx xx + 5 = xx = 0 Solve by completing the square: 31. xx 2 6xx + 9 = xx 2 8xx + 11 = xx 2 4xx + 3 = xx xx + 13 = 0 Solve by the Quadratic Formula: 35. 2xx 2 + 5xx 3 = xx 2 13 xx + 22 = 0 Evaluate and simplify completely (8 + 7ii) (12 4ii) 39. (4 + 3ii)(5 3ii) ii 1 ii Solve: 41. 4xx = xx 5yyyy = ii 43. xx 2 2xx + 5 = xx 2 2xx + 3 = 0 yy = xx Solve by substitution: yy = xx 2 + 3xx + 10 yy = xx Solve by graphing: yy = xx 2 + 4xx Find the solution of the system of inequalities: yy (xx + 1)2 2 yy xx 2 + 3

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9 Quadratic Functions Tournament Answer Key 7. Vertex (0,3) stretch factor 1.5, reflect over x-axis 8. Vertex (1, 0) shrink factor yy = (xx + 3) yy = (xx 2) yy = 2(xx 3) yy = 3(xx + 1) Vertex (2, 1) Maximum 14. Vertex 33, Minimum 15. Vertex (3, 12) Minimum 16. Vertex (2, 16) Maximum 17. yy = xx 2 + 5xx yy = 2xx 2 3xx (xx + 3)(xx 2) 20. (3xx 2) (xx + 11)(xx 2) 22. (5xx + 3)(5xx 3) 23. (2xx 3)(xx 3) 24. (3xx + 2)(xx 5) 30. xx = 11, xx = (xx 3) 2 = 25 ; xx = 2, xx = (xx 4) 2 = 5 xx = 4 ± (xx 1) 2 = 3 xx = 1 ± (xx + 5) 2 = 12 xx = 5 ± xx = 1 ; xx = xx = 2, xx = ii ii ii ii xx = ± 2ii xx = 5; yy = xx = 1 ± 2ii 44. xx = 1 ± 2ii ( 2, 0); (4, 6) 46. (1, 2); ( 6, 9) Vertex (4, 7) stretch factor 3, reflect over x-axis 6. Vertex ( 2,5) shrink factor xx = ± xx = 7, xx = xx = 0, xx = xx = 4, xx = xx = 1, xx = 5 3

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