UNIT 4 LINEAR FUNCTIONS Overview. Instruction. The Conversion Game. Materials. Attribution and Research

Transcription

1 The Conversion Game Beginning on Day 26, students will play variations on the Conversion Game for warm-ups. As part of the game, students will convert units of time, measurement, and base-ten in order to move around a game board and score points. The game has several components that require a significant amount of time to prepare. The materials needed are listed below. The game boards will need to be printed on " by 7" paper; because of the limitations of this document, they are provided here in proportionally smaller form for you to resize using a photocopier. The boards will be used repeatedly and should be laminated. Materials Conversion Game Boards, printed out on " by 7" paper and laminated one set of game boards (base-ten, time, and measurement variations) for each student group of 4 Conversion Game Board transparency for use when demonstrating the game to students Copies of How to Play the Conversion Game ( per group; the same set of rules may be used for each variation) six-sided number cube per group; tape over the 6 and write on the tape Game cards for each variation, printed on card stock and cut out ahead of time (See Cards for the Conversion Game teacher page and card templates in Unit for instructions.) Card stock or colored paper sufficient to print out enough cards for each game variation and student group Attribution and Research The Conversion Game was developed by Valerie N. Faulkner, Coordinating Teacher for Special Education Services for Wake County, NC, public schools, based on research from the following sources: Griffin, S. (25). Fostering the Development of Whole-Number Sense: Teaching Mathematics in the Primary Grades. In M. S. Donovan & J. D. Bransford (Eds.), How Students Learn: History, Mathematics, and Science in the Classroom. Washington, D.C.: National Research Council. Griffin, S., Case, R., & Capodilupo, A. (995). Teaching for Understanding: The Importance of the Central Conceptual Structures in the Elementary Mathematics Curriculum. In A. McKeough, J. Lupart & A. Marini (Eds.), Teaching for Transfer: Fostering Generalization in Learning: Lawrence Erlbaum Associates. Moss, J., & Case, R. (999). Developing children s understanding of the rational numbers: A New Model and an Experimental Curriculum. Journal for Research in Mathematics Education, (2),

2 Conversion Board Transparency Conversion Base-Ten Circuit Board Conversion 59

3 NAME: UNIT 4 LINEAR FUNCTIONS How to Play the Conversion Game There are three ways to play Conversion: converting in base-ten, converting units of time, and converting units of measurement. These rules apply to all three versions. Option Pick a total amount before the beginning of the game. The player who gets to that total first wins. For instance, in the base-ten version game, the first player to get to 5 tens wins. The goal must be decided ahead of time. Option 2 Designate a given amount of game time. The player with the highest total at the end of that time wins. It is best if you end with all players having gone the same amount of turns, so end with the last player before you determine the winner. Manner of Play Everyone rolls a number cube to determine who goes first. The player with the highest roll goes first. No other rolls matter. Play proceeds clockwise from the highest player on. The first player rolls the number cube, and then proceeds that many steps along the circuit. Note: It is best to have a number cube that shows 5 and then tape over the 6. Have the tape represent. This helps students to understand better how one proceeds on a number line. You do not move if you roll. You move one if you roll. Circuit Cards At the top of each circuit, the player collects a circuit card. These cards are located in the center of the circuit. The circuit card keeps track of how many times the player has been around the board in a conversion unit up. For instance, if you have been around the board once, or spaces in the base-ten game, the conversion card says ten. In the time game, it will say. If a player goes backward and passes the top of the circuit, they must return a circuit card to the pile. If a player has no circuit cards and goes backward past the circuit top, there are no consequences. Conversion Cards If the player lands on a half-way point, he/she picks up a conversion card. These cards are located on either side of the board. Place half of the pile on one side and half the pile on the other side, so cards are accessible to all players. The conversion card directs the player to take extra steps. Conversions may be necessary. For instance, a card may say move ½ of a ten, or it may say move ¼. The player will need to convert that into the appropriate moves on the board (5 ones; 5 ). Players pick up a circuit card if they complete a circuit. Note: If a player picks a move backward one (unit) (one ten, or one ), he/she will be landing again on the half-way mark. The player must turn in a circuit card because he/she has gone backward. The player then chooses another conversion card because he/she will be back on the half-way mark. Claiming the Win The winner must claim the win by converting his/her circuit cards into the unit of the game board. For instance, a student who thinks she has won the base-ten version because she has 5 tens cards can claim her win by saying 5 tens equals 5 ones. 6

4 Cards for the Conversion Game Use the templates beginning on the next page to create game cards for each of the Conversion games. You may choose to use colored paper for the cards. Base-Ten Circuit cards: Print 5 sets of the 2 cards found on the next page per group of 4 students. Conversion cards: Print one set per group of 4 students. Time Circuit cards: Print 5 sets of the 2 cards found on page 68 per group of 4 students. Conversion cards: Print one set per group of 4 students. Measurement Circuit cards: Print 5 sets of the 2 cards found on page 7 per group of 4 students. Conversion cards: Print one set per group of 4 students. 6

5 Base-Ten Circuit Cards Ten Ten Ten Ten Ten Ten Ten Ten Ten Ten Ten Ten 62

6 Base-Ten Conversion Cards one back one 2 ones 2 ones ones ones 4 ones back 4 ones 5 ones 5 ones 6 ones 6 ones 6

7 7 ones 7 ones 8 ones 8 ones 9 ones 9 ones ones back ones ones ones 2 ones 2 ones 64

8 ones 6 ones ten back ten ten ten 2 tens back 2 tens tens tens 4 tens 4 tens 65

9 4% of of 2 of 2 25% of 2 of 2 4 5% of 2 4 of 5 2 % of 2 % of 5% of 5% of 6 of

10 25% of 4 5% of 6 25% of 6 67

11 Time Circuit Cards 68

12 Time Conversion Cards 5 back back 4 69

13 back 4 2 back back 5 7

14 5 back 45 back back

15 2 back

16 Measurement Circuit Cards foot foot foot foot foot foot foot foot foot foot foot foot 7

17 Measurement Conversion Cards inch backward inch 2 inches 2 inches inches inches 4 inches 4 inches 5 inches 5 inches 6 inches back 6 inches 74

18 7 inches 7 inches 8 inches back 8 inches 9 inches 9 inches inches inches inches inches 2 inches back 2 inches 75

19 foot inches 2 inches foot foot inches inches 4 inches 4 inches 8 inches 2 feet 2 feet 76

20 2 of a foot of a foot 4 of a foot 2 of a foot 2 2 of a foot 2 feet 2 of a foot back 2 of a foot back 6 of a foot 4 6 of a foot 6 of a foot 4 of a foot 77

21 Conversion /2 :5 :45 :4 :55 :5 : Time Circuit Board : :5 :25 : :5 :2 /2 Conversion 79

22 2 9 6 Conversion foot /2 in. in. in. 2 in. 9 in. Measurement Circuit Board in. 8 in. 4 in. 7 in. 5 in. 6 in foot /2 Conversion 8