Math Fact Strategy Seed Ideas Addition and Subtraction (based on Teaching Student-Centered Mathematics, 2006) Doubles Strategy The “doubles strategy” is used when the two addends in the number sentence are the same, hence the double. Extensive practice with visualizing numbers as dots and other pictorial representation is especially helpful with this strategy. Students should use the commutative property to be able to apply this strategy to twice as many facts, even though the addends are the same. Seed Idea: Doubles Strategy Cards Addition: Fold the card over on the dotted line so it is covering one of the doubles addends. Ask the students what number they see without counting, and ask them how many dots you could have if you doubled that. Make the connection to multiplication and repeated addition. Subtraction: You can write the total number of dots on the back on the flap, so when it is hiding one of the addends. Students will see how many dots there are on the card and how many are showing. Students will use the doubles strategy to decompose the number to determine the missing addend. Seed Idea: Doubles Turn around Cards Addition: Show the turn around card to students and have them tell you the number sentence that it represents. (6+6=12) Then, turn around the card so that students can realize they are exactly the same number sentence. Subtraction: Take the card and write the sum on the back. Have students decompose that number as many ways as possible and circle which one of the ways they decomposed the number is a doubles fact. Flip the card over to check. Seed Idea: Doubles Flashcards Addition: Show the flashcard and have them use the doubles strategy to solve the fact. This should only be used after extensive work with the meaning of operation and application of the strategy. Seed Idea: Doubles Dominos Addition: Have the students create cards with the answers to the doubles facts by using their addition chart to determine a pattern. Students should notice that all doubles facts sums are even numbers. Once the students have created the cards, they can match the sum with the doubles domino. Subtraction: Give the students subtraction number sentences that use the doubles strategy. Have them match the number sentence with the corresponding doubles domino. Seed Idea: Doubles Subtraction Flashcards Subtraction: Cut out the flashcards and then fold them on the dotted line. Show the flashcard and have them use the doubles strategy to solve the fact. This should only be used after extensive work with the meaning of operation and application of the strategy. Discuss what matching “think addition” number sentence can be created from the subtraction number sentence. Seed Idea: Doubles Strategy Missing Addend Cards Addition: Cut out the flashcards and then fold them on the dotted line. Show them the missing addend card and have them figure out what the missing addend would be. Have them share what strategy they used to find the missing addend. Subtraction: Have them determine the missing addend and tell what the related subtraction fact would be. Seed Idea: Doubles Strategy “Think Addition” Cards Addition: Cover the bottom number and ask the students what the total number of dots would be. Discuss what strategies were used to find the answer. Subtraction: Fold down one of the addends and ask them how many dots are missing. Have the students share the strategies that they used to determine the missing number of dots. Seed Idea: Doubles Visuals Addition: Review the doubles visuals with the students and then cut out the doubles fact and the pictures and have the students match them together. Subtraction: Show the students the doubles visual and have them tell you the doubles addition number sentence and the matching subtraction fact. Seed Ideas: Doubles Pictures Addition: Take a piece of paper and fold it in half and have the students put small blobs of tempra paint on the left side of the paper and then fold it over while the paint is still wet. Have them write the doubles fact that is represented. Subtraction: Give them a double sum, like 12 and have them put the same amount of blobs on each side of the paper to represent the doubles fact. Have them write the subtraction faction (12-6=6) that is represented. Make the connection to fair share and division.