GRADES K-5
One-Two Switcheroo: Addition
The Commutative Property
game description
serious
play
The commutative property of addition (a + b = b + a) says that when two numbers are added, changing tthe order
of the addends does not change the sum; for example, 6 + 3 = 3 + 6.
Game Description and Materials
One-Two Switcheroo is a game for two players that uses the commutative property of addition to give students mental
math practice adding whole numbers and positive fractions. Players match commutative pairs of cards (Switcheroo Pairs) to
a common sum. Game materials include a Game Board and a set of cards. Each player needs up to ten tokens (such as
coins) to use as markers. The object of the game is to collect more Switcheroo Pairs than the other player.
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play
ONE-TWO SWITCHEROO: Adding to 10
Game Board
GRADES K-5
Game Board
The Game Board has 15 Sum Spots for Switcheroo Pairs and places for the
draw pile and discards.
10
Commutative Property of Addition
a+b=b+a
10
7
9
DRAW
PILE
10
9
6
6
8
7
9
5
8
1st card: Addition Statement
a+b=c
©Copyright 2012 • KP Mathematics
10
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
7
DISCARDS
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Cards
• There are 30 Game Cards, two “matching” cards for each Switcheroo Pair.
• There are five Chance Cards. Chance Cards may be saved and used as needed. Playing a Chance Card
constitutes a turn.
✦✦ Two Chance Cards say, “Discard and pick.” Players use this card to discard an unwanted card from their hand and
exchange it for the top card from the draw pile. Then, they discard the Chance Card.
✦✦ Three Chance Cards say, “Take a card
.” Players take any card (except a Chance Card) from their opponent,
place it with their other cards in their play area, and discard the Chance Card. The opponent then picks a card from
the draw pile to replace the one that was taken.
Versions
There are three addition versions of One-Two Switcheroo, all of which can be taught using the same Game Description and Play
Instructions. Game boards and cards for each version are previewed on the pages following the Play Instructions.
Addition: Facts to 10
Addition: Facts to 18
Addition: Positive Fractions*
*Please note that sums are not simplified or converted.
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
One-Two Switcheroo: Addition
play instructions
GRADES K-5
Getting Ready to Play
The dealer shuffles the cards, deals five cards to each player, and places the remaining cards face down to form
a draw pile. Throughout the game, players’ cards remain face up so both players can see them. Players replace
each card they use by drawing the top card from the draw pile. They should have five cards at the end of each
turn.
Playing the Game
1. Players decide who takes the first turn. Player 1 places a card from his
hand on a Sum Spot, saying aloud the correct addition statement:
“6 + 3 = 9”
serious
play
10
Game Board
Commutative Property of Addition
a+b=b+a
10
9
10
9
6
6
8
7
9
7
DRAW
PILE
2. Player 2 takes the next turn, following the same procedure as Player 1.
ONE-TWO SWITCHEROO: Adding to 10
GRADES K-5
5
8
10
DISCARDS
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
1st card: Addition Statement
a+b=c
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
ONE-TWO SWITCHEROO: Adding to 10
Game Board
GRADES K-5
3. When a player has a card that will make a Switcheroo Pair, he places that
card on the Game Board on top of the other card of the pair. Then, he
places his marker on the pair of cards and says aloud the commutative
“3 + 6 = 6 + 3
statement:
One-Two Switcheroo.”
10
Commutative Property of Addition
a+b=b+a
10
7
9
9
5
1st card: Addition Statement
a+b=c
7
9
6
8
DRAW
PILE
7
10
6
8
10
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
©Copyright 2012 • KP Mathematics
7
DISCARDS
New ways of learning . . . new ways of thinking
4. Players alternate turns until the draw pile is gone. When this happens, players combine their cards
(removing any Chance Cards), shuffle them, and make another draw pile. The player whose turn it
was picks the top card and plays it to the board. Players alternate turns until the cards are gone.
5. The winner is the player with more Switcheroo Pairs.
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
serious
play
ONE-TWO SWITCHEROO: Adding to 10
Cards
GRADES K-5
Adding to 10
(used as examples in Play Instructions)
serious
play
1+5
5+1
6+4
4+6
4+5
5+4
3+2
2+3
2+5
5+2
7+0
0+7
6+3
3+6
4+3
3+4
9+1
1+9
3+5
5+3
4+2
2+4
3+7
7+3
9+0
0+9
6+2
2+6
2+8
8+2
CHANCE
CHANCE
CHANCE
CHANCE
CHANCE
Discard
and pick
Discard
and pick
ONE-TWO SWITCHEROO: Adding to 10
Game Board
GRADES K-5
Commutative Property of Addition
a+b=b+a
10
7
9
10
9
6
6
8
DRAW
PILE
7
9
10
8
5
Take a card
Take a card
Take a card
DISCARDS
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
1st card: Addition Statement
a+b=c
7
New ways of learning . . . new ways of thinking
©Copyright 2012 • KP Mathematics
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
ONE-TWO SWITCHEROO: Adding to 18
Cards
GRADES K-5
Adding to 18
serious
play
Commutative Property of Addition
a+b=b+a
14
11
11
13
12
13
DRAW
PILE
16
11
11
12
9+8
6+5
5+6
3+8
8+3
7+5
5+7
8+7
7+8
9+6
6+9
5+9
9+5
6+7
7+6
5+8
8+5
9+7
7+9
4+7
7+4
6+8
8+6
8+4
4+8
9+2
2+9
4+9
9+4
CHANCE
Discard
and pick
CHANCE
Discard
and pick
CHANCE
CHANCE
CHANCE
Game Board
GRADES K-5
17
8+9
ONE-TWO SWITCHEROO: Adding to 18
13
15
15
14
Take a card
Take a card
DISCARDS
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
1st card: Addition Statement
a+b=c
Take a card
New ways of learning . . . new ways of thinking
©Copyright 2012 • KP Mathematics
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
ONE-TWO SWITCHEROO: Adding Fractions
Cards
GRADES K-5
serious
play
GRADES K-5
Adding Fractions
1 3
+
2 4
3 1
+
4 2
1 1
1 +
2 4
1
1
+1
4
2
ONE-TWO SWITCHEROO: Adding Fractions
4 3
+
5 5
3 4
+
5 5
2 5
+
7 7
5 2
+
7 7
3 1
+
8 4
1 3
+
4 8
1
2 +3
2
3+2
Game Board
Commutative Property of Addition
a+b=b+a
5
4
4
4
5
8
1
5
2
7
6
DRAW
PILE
11
6
1st card: Addition Statement
a+b=c
1
4
1
5
7
10
10
4
3
4
1
5
8
7
5
2
3
93
100
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
7
7
©Copyright 2012 • KP Mathematics
3 1
1 +
5 5
63 3 3 63
+
+
100 10 10 100
1 3
+
4 4
3 1
+
4 4
1 1
+
8 2
1 1
+
2 8
1
2
1 3
+
10 5
3 1
+
5 10
1 1
1 +
3 3
1
1
+1
3
3
3 2
+
2 6
2 3
+
6 2
1 5
+
3 6
5 1
+
6 3
2 4
+
4 2
4 2
+
2 4
CHANCE
Discard
and pick
CHANCE
Discard
and pick
CHANCE
CHANCE
CHANCE
Take a card
Take a card
Take a card
DISCARDS
©Copyright 2012 • KP Mathematics
©Copyright 2012 • KP Mathematics
1
3
+1
5
5
New ways of learning . . . new ways of thinking
New ways of learning . . . new ways of thinking
previews
10
(print from CD)
One-Two Switcheroo: Addition
GRADES K-5
New ways of learning . . . new ways of thinking
serious
play
One-Two Switcheroo: Addition
GRADES K-5
serious
play
ONE-TWO SWITCHEROO: Addition
Blank Cards
GRADES K-5
Addition Blanks
(for teacher-generated versions)
serious
play
ONE-TWO SWITCHEROO: Addition
Blank Game Board
GRADES K-5
Commutative Property of Addition
a+b=b+a
CHANCE
Discard
and pick
DRAW
PILE
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
CHANCE
Take a card
CHANCE
Take a card
CHANCE
Take a card
DISCARDS
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
New ways of learning . . . new ways of thinking
previews
©Copyright 2012 • KP Mathematics
1st card: Addition Statement
a+b=c
CHANCE
Discard
and pick
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
One-Two Switcheroo: Addition
GRADES K-5
serious
play
ONE-TWO SWITCHEROO: Adding to 10
6+4
4+6
9+1
1+9
10
Adding to 10
Commutative Property of Addition
a+b=b+a
10
7+0
0+7
9
4+5
5+4
7
6+3
3+6
9
4+2
2+4
9
8
4+3
3+4
7
3+7
7+3
10
2+6
6+2
8
5
DRAW
PILE
10
6
3+2
2+3
7
2+8
8+2
1+5
5+1
6
3+5
5+3
2+5
5+2
9+0
0+9
DISCARDS
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
1st card: Addition Statement
a+b=c
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
ONE-TWO SWITCHEROO: Adding to 18
Game Board
GRADES K-5
8+9
9+8
5+9
9+5
17
Adding to 18
Commutative Property of Addition
a+b=b+a
14
6+5
5+6
11
12
11
7+5
5+7
13
16
4+7
7+4
11
5+8
8+5
13
12
6+7
7+6
DISCARDS
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
1st card: Addition Statement
a+b=c
©Copyright 2012 • KP Mathematics
New ways of learning . . . new ways of thinking
serious
play
ONE-TWO SWITCHEROO: Adding Fractions
GRADES K-5
1 3
+
2 4
Adding
Positive Fractions
1
2 +3
2
5
1 1
+
2 8
3+ 2
1 5
+
3 6
DRAW
PILE
©Copyright 2012 • KP Mathematics
©Copyright 2012 • KP Mathematics
Game Board
Commutative Property of Addition
a+b=b+a
5 3+1
4 2
4
1
2
15
14
13
15
9+6
6+9
6+8
8+6
4+9
9+4
8+7
7+8
DRAW
PILE
3+8
8+3
11
9+2
2+9
8+4
4+8
9+7
7+9
1
2
7
6
1 3
+
4 4
5
8
1 1
+
8 2
3 2
+
2 6
5 1
+
6 3
4
4
3
1 1 12 + 14
4
3 1
1 +
5 5
11 2 3
+
6 2
6
1 3
+
10 5
1st card: Addition Statement
a+b=c
4
1
5
7
10
2 4
+
4 2
1 1
+1
4 2
3 1
+
4 4
3
1
+1
5
5
3 1
+
8 4
3 1
+
5 10
10 4 + 2
2 4
4
21 1
+1
3 3
3 2 5 75 2
+
+
5 1+3
7 7
7 7
7
4 8
8
63 3 93
3 63
+
+
100 10
10 100
3 7 3 4 100
4
+
5 5
1
1 1
1 +
3 3
5
5
+
5
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
DISCARDS
New ways of learning . . . new ways of thinking
answer keys
GRADES K-5
New ways of learning . . . new ways of thinking
serious
play
ONE-TWO SWITCHEROO: Adding to 10
Game Board
GRADES K-5
10
Commutative Property of Addition
a+b=b+a
10
7
9
DRAW
PILE
©Copyright 2012 • KP Mathematics
9
9
6
8
5
1st card: Addition Statement
a+b=c
7
10
6
8
10
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
7
DISCARDS
New ways of learning . . . new ways of thinking
2+3
3+6
5+3
0+9
CHANCE
Discard
and pick
3+2
6+3
3+5
9+0
CHANCE
Discard
and pick
©Copyright 2012 • KP Mathematics
5+1
1+5
GRADES K-5
serious
play
Take a card
CHANCE
CHANCE
Take a card
2+6
2+4
3+4
5+2
4+6
6+2
4+2
4+3
2+5
6+4
8+2
7+3
1+9
0+7
5+4
New ways of learning . . . new ways of thinking
Take a card
CHANCE
2+8
3+7
9+1
7+0
4+5
Cards
ONE-TWO SWITCHEROO: Adding to 10
5+7
9+5
7+9
4+8
CHANCE
Discard
and pick
7+5
5+9
9+7
8+4
CHANCE
Discard
and pick
©Copyright 2012 • KP Mathematics
9+8
8+9
GRADES K-5
serious
play
Take a card
CHANCE
CHANCE
Take a card
2+9
7+4
7+6
7+8
5+6
9+2
4+7
6+7
8+7
6+5
9+4
8+6
8+5
6+9
8+3
New ways of learning . . . new ways of thinking
Take a card
CHANCE
4+9
6+8
5+8
9+6
3+8
Cards
ONE-TWO SWITCHEROO: Adding to 18
serious
play
ONE-TWO SWITCHEROO: Adding Fractions
GRADES K-5
Game Board
Commutative Property of Addition
a+b=b+a
5
4
1
5
2
7
6
DRAW
PILE
©Copyright 2012 • KP Mathematics
3
1
4
4
4
5
8
11
6
1st card: Addition Statement
a+b=c
10
4
4
1
5
7
10
5
8
7
5
2
1
3
93
100
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
7
7
DISCARDS
New ways of learning . . . new ways of thinking
3 4
+
5 5
1 3
+
4 8
1
3+2
2
2 3
+
6 2
CHANCE
Discard
and pick
4 3
+
5 5
3 1
+
8 4
1
2 +3
2
3 2
+
2 6
CHANCE
Discard
and pick
©Copyright 2012 • KP Mathematics
3 1
+
4 2
1 3
+
2 4
GRADES K-5
serious
play
Take a card
CHANCE
CHANCE
Take a card
5 1
+
6 3
3 1
+
5 10
1 3
+
10 5
1 5
+
3 6
3 1
+
4 4
5 2
+
7 7
1
1
+1
4
2
1 3
+
4 4
2 5
+
7 7
1 1
1 +
2 4
3 1
1 +
5 5
4 2
+
2 4
1
1
+1
3
3
1 1
+
2 8
New ways of learning . . . new ways of thinking
Take a card
CHANCE
2 4
+
4 2
1 1
1 +
3 3
1 1
+
8 2
63 3 3 63
+
+
100 10 10 100
1
3
+1
5
5
Cards
ONE-TWO SWITCHEROO: Adding Fractions
serious
play
ONE-TWO SWITCHEROO: Addition
Blank Game Board
GRADES K-5
DRAW
PILE
©Copyright 2012 • KP Mathematics
Commutative Property of Addition
a+b=b+a
1st card: Addition Statement
a+b=c
2nd card: Commutative Statement
a+b=b+a
One-Two Switcheroo!
DISCARDS
New ways of learning . . . new ways of thinking
©Copyright 2012 • KP Mathematics
CHANCE
Discard
and pick
CHANCE
Discard
and pick
GRADES K-5
serious
play
Take a card
CHANCE
Take a card
CHANCE
New ways of learning . . . new ways of thinking
Take a card
CHANCE
Blank Cards
ONE-TWO SWITCHEROO: Addition