Getting to a Decade Number & Taking Jumps of 10: What is it?
This strategy can be used for addition and subtraction. Students begin to solve the question by getting to a decade number (10,20 etc.) then taking jumps to arrive at the answer.
Overview:
Getting to a decade number and making jumps forwards and backwards of 10 is a strategy that builds upon the "Counting on from the larger number" strategy. Students will add up in chunks, first moving to the nearest decade number, and making larger jumps of 10 from there. For example, when solving 28 + ? = 50, the student would add 2 to get to 30, and then make two jumps of 10 to arrive at 50.
Supporting Students Using 'Getting to a Decade Number & Taking Jumps'
As students encounter the challenge posed by adding or subtracting larger numbers, children will shift towards more efficient strategies. These strategies move along two general pathways, number-line related and splitting or decomposing strategies that lead to algorithms. Although there are two general pathways, number-line related strategies will only appear in classrooms that foster them. To support students to use this strategy, student thinking must be modeled using a number line by the educator. Intentional practice to work on modeling the strategy may include students working with decks of cards or rolling dice to create two digit numbers to add together. Using purposeful number strings will also benefit students.
Where to Next?
If students are using this strategy effectively, they could be encouraged to explore 'overshoot and return' or using 'strategic methods'.
Games & Activities to Support 'Getting to a Decade Number and Taking Jumps of 10'
Games & activities were introduced in this breakout session.
Select a small group of students whose mental math skills are at a similar level. Have the students sit in a circle. Play can move in one direction around the circle or you could use a beanbag to determine direction of play. You, the teacher, should choose a target number that you would like the group to reach. This number should depend on the skill level of the group.
Select a student to go first. Player 1 says a number between 1 and 9.
Player 2 identifies the number that, when added to Player 1’s number, makes 10. For example, if Player 1 says “6”, Player 2 will say, “6+4=10”.
Player 3 chooses a number between 1 and 9, and then adds this number to 10. For example, if Player 3 chooses the number 3, he/she will say, “10+3=13”.
Player 4 must identify the number which, when added to Player 3’s sum, makes 20. For example, Player 4 will say, “13+7=20”.
Player 5 chooses a number between 1 and 9. He/she will add this number to 20.
Game play continues in this way until the chosen target number is reached.
In this classic twist on concentration, player challenge one another to find the most pairs to create a decade number.
In this partner game, students find 'how many more' to reach the next decade number to earn a point. Be careful though, partners can steal if you are not careful!
Looking to learn more? Check out the recorded session!