Curriculum topics: Addition Subtraction Regrouping Place Value GIVE AND TAKE A Game to Reinforce Place Value Concepts Subject: Math Grade range: K – 3 3 “tens” 4 “ones” 34 Practice regrouping/ trading “tens” and “ones” while playing this game. Who we are: Resource Area for Teaching (RAFT) helps educators transform the learning experience through affordable “hands-on” activities that engage students and inspire the joy and discovery of learning. For more ideas and to see RAFT Locations www.raft.net/visit-raft-location © 2014, RAFT http://www.raft.net/raft-idea?isid=79 Materials required Give and Take Game board (see page 3) Dice, 2 (or 1 die for young students) Game pieces, 1 per player Math manipulatives for 10 (called a “ten”), such as strings of 10 beads or 10-blocks, 20 Math manipulative for 1 (called a “one””), such as a single bead or a one block, 80 Containers, 1 per player, plus 2 more WARNING: CHOKING HAZARD—Small parts Not for children under 3 yrs. Playing the Game (for 2 - 4 players) 1 Place “tens” in one container and “ones” in another container. These containers represent the “bank”. Set a length of time for the game. 2 Each player chooses a game piece and places it anywhere on the path of the game board. Each player takes 2 “tens” and 5 “ones” and places them in his or her own container. 3 The first player rolls the die (or both dice and adds the numbers), and then moves his or her game piece clockwise the indicated number of spaces. 4 The player reads the number on the “landing” space (for example, +4 or -5). If there is a plus (+) in front of the number the player takes that number of “ones” from the bank. If there is a minus (-) in front of the number the player returns that number of “ones” to the bank. 25 (2 “tens” and 5 “ones”) + 4 5 = 2 “tens” and 9 “ones” = 29 A player who needs more “ones” must “trade in” a “ten” to the bank in exchange for 10 “ones”. If a player has more than 9 ones, they must “regroup” 10 ones to make 1 ten – trading in the “ones” to the back for the “ten”. 5 5 12 (1 “ten” and 2 “ones”) - 5 = 12 (“ones”) – 5 = 7 “ones” = 7 15 7 (7 “ones”) + 8 = 15 (“ones”) = 1 “ten” and 5 “ones” = 15 6 Play continues in a clockwise direction for each player in turn. The players continue to trade and regroup “tens” and “ones” in order to give and take the correct number to and from the bank. A player with no “tens” or “ones” does not continue to play. 7 The game is over when time is called. The player with the highest number of beads wins! Give and Take, page 2 © 2014, RAFT Give and Take, page 3 © 2014, RAFT Curriculum Standards: Understand solve problems with addition and subtraction (Common Core Math Standards: Operations and Algebraic Thinking: Grade K, 1, 2, 3, & 4; Grade 1, 1, 2, & 6; Grade 2, 1 & 2) Place Value of whole numbers (Common Core Math Standards: Number & Operations in Base Ten: Grade K, 1; Grade 1, 2 & 4; Grade 2, 5) The math behind the activity Children develop understanding and reasoning through exploration, interaction, and feedback. When students are learning about trading tens and ones, math manipulatives help to make the concepts concrete. This game provides students an excellent opportunity practice addition, subtraction, and regrouping/trading tens. The students also learn about the ideas behind place value and Base 10. Learn more Problem Solving and Reasoning (Common Core Math Standards: Mathematical Practices Grades K-3) Play the game with the winner being the first player to get to a target number. Have young students progress step by step through a series of tens and ones manipulatives so that the concept becomes clearly understood. As the students progress, use more and more abstract visual manipulatives. Slow progress through these different manipulatives is important for deeper understanding of the concept. At each step, play the game many times over several weeks. 1. Use a larger item to represent “ten” which does not actually show ten items. 2. 3. Use two items that are similar in size, but differ in color to represent the tens and ones. (e.g., dimes and pennies) Represent the tens and ones with items that only differ by one attribute (e.g., shape, color, patterns). Related activities: See RAFT Idea Sheets: Abacus Primer – http://www.raft.net/ideas/Abucus Primer.pdf Binary Dots – http://www.raft.net/ideas/Binary Dots.pdf Place Your Number Value http://www.raft.net/ideas/Place Your Number Value.pdf Resources Visit www.raft.net/raft-idea?isid=79 for “how-to” video demos & more ideas! See these websites for more information on the following topics: Additional standards at: http://www.raft.net/raftidea?isid=79 Give and Take, page 4 Practice regrouping Tens and Ones http://www.studyzone.org/testprep/math4/b/regrouponestens2l.cfm Related videos and exercises from the Khan Academy – https://www.khanacademy.org/math/arithmetic/addition-subtraction Teacher designed math courses from the New Jersey Center for Teaching & Learning – https://njctl.org/courses/math © 2014, RAFT
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