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UNIT 3 Easy Subtraction Facts The Essentials The easy subtraction facts are built around the notion of “adding up.” In other words, students should learn to find the difference in these facts and do so by adding up. As you will see, the unit begins with the simple strategies for facts. These include “minus 0” and identity or “minus itself” facts (e.g., 8 – 8 = 0). These can be addressed fairly quickly. The next set of strategies involves the key idea of finding the difference. That is, where you have facts where the difference is 1 or 2 (e.g., 9 – 8, 9 – 7) or ones that involve “minus 1” or “minus 2”, you can get kids to add up. This involves linking facts together in families. For example, 8 – 6 and 8 – 2 are linked because they have a common family of numbers: 8, 6, and 2. In other words, 8 – 6 = 2, 8 – 2 = 6, and 8 = 6 + 2. One way to communicate fact families is through fact family triangles. However you do it, be sure to get kids to think addition when they have a fact like 8 – 6 (e.g., “I have 8 minus 6, 6 plus what is 8?”).

The Fact Family of 8, 6, and 2

8

6 2

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Easy Subtraction Fact Strategy Sets

Fact Strategy Example Number of sheets

(includes strategy sheet, practice sheet(s), and extended facts sheet)

Page

Minus 0

You just subtract 0.

7 – 0 = 7 3 S3

Minus Itself

You subtract the same number.

7 – 7 = 0 4 S7

Difference of 1

You just subtract 1. But instruction should link –1 with facts that have a difference of one.

7 – 1 = 6

AND

7 – 6 = 1

17 S12

Difference of 2

You just subtract 2. This works just like Difference of 1. Be sure to link the two facts together when you teach them.

7 – 2 = 5

AND

7 – 5 = 2

12 S32

Doubles

You want to review the double addition facts to make this strategy useful. Again, you want students to think addition. So 8 – 4 = 4 + 4.

8 – 4 = 4

4 S46

S3

Easy Subtraction: The Minus 0 Facts

This really amounts to a rule. In other words, “any number minus zero is the same number.” If you need to, you can represent the minus zero strategy visually. One involves the use of a number line. The second involves a ten frame.

Number Line for 5 – 0 0 1 2 3 4 5 6 7 8

A Ten Frame for 4 – 0 Demonstrating the Rule You can use the number line to show basic minus zero facts. Count out on the number line, state the number, and then say, “I’m going to subtract 0 from it. That means I don’t have to subtract. So, 5 – 0 = 5 because I don’t have anything to take away.” You can use a similar method for the ten frame. Use a number of different facts to communicate the minus one strategy. General Guidelines Students should learn these facts very quickly because they all follow a simple rule. Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

S4

Name Date

NEW FACTS Fact Strategy: Minus 0

0 2 1 4 3 - 0 - 0 - 0 - 0 - 0 6 5 8 9 10 7 - 0 - 0 - 0 - 0 - 0 - 0 10 2 4 1 6 - 0 - 0 - 0 - 0 - 0 8 9 7 3 5 - 0 - 0 - 0 - 0 - 0 5 7 9 1 3 - 0 - 0 - 0 - 0 - 0 4 8 2 6 0 - 0 - 0 - 0 - 0 - 0 2 6 4 8 7 - 0 - 0 - 0 - 0 - 0 10 9 5 3 1 - 0 - 0 - 0 - 0 - 0

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Name Date 1 9 5 8 3 - 0 - 0 - 0 - 0 - 0 2 7 6 4 10 - 0 - 0 - 0 - 0 - 0 9 1 8 3 5 - 0 - 0 - 0 - 0 - 0 7 2 4 0 6 - 0 - 0 - 0 - 0 - 0 5 3 1 8 9 - 0 - 0 - 0 - 0 - 0 6 0 7 2 4 - 0 - 0 - 0 - 0 - 0 9 1 8 5 3 - 0 - 0 - 0 - 0 - 0 7 6 10 4 2 - 0 - 0 - 0 - 0 - 0

S6

Name Date 1 10 100 2 20 - 0 - 0 - 0 - 0 - 0 200 7 70 700 9 - 0 - 0 - 0 - 0 - 0 90 900 4 40 400 - 0 - 0 - 0 - 0 - 0 8 80 800 3 300 - 0 - 0 - 0 - 0 - 0 30 5 50 500 7 - 0 - 0 - 0 - 0 - 0 700 6 60 600 100 - 0 - 0 - 0 - 0 - 0 10 800 40 400 70 - 0 - 0 - 0 - 0 - 0 700 90 900 30 300 - 0 - 0 - 0 - 0 - 0

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Easy Subtraction: The Minus Itself Facts

This really amounts to a rule. In other words, “any number minus itself is zero.” If you need to, you can represent the minus itself strategy visually. One involves the use of a number line. The second involves a ten frame.

Number Line for 5 – 5 0 1 2 3 4 5 6 7 8

A Ten Frame for 4 – 4 Demonstrating the Rule You can use the number line to show basic minus itself facts. Count out on the number line, state the number, and then say, “I’m going to subtract 5. That means I take away the 5 that I have. I don’t have any more. So, 5 – 5 = 0.” You can use a similar method for the ten frame. Use a number of different facts to communicate the minus itself strategy. General Guidelines Students should learn these facts very quickly because they all follow a simple rule. Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

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Name Date

NEW FACTS Fact Strategy: Minus Itself

1 2 3 4 5 - 1 - 2 - 3 - 4 - 5 6 7 8 9 0 - 6 - 7 - 8 - 9 - 0 0 2 4 1 6 - 0 - 2 - 4 - 1 - 6 8 9 7 3 5 - 8 - 9 - 7 - 3 - 5 5 7 9 1 3 - 5 - 7 - 9 - 1 - 3 4 8 2 6 0 - 4 - 8 - 2 - 6 - 0 2 6 4 8 7 - 2 - 6 - 4 - 8 - 7 0 9 5 3 1 - 0 - 9 - 5 - 3 - 1

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Name Date 1 2 3 4 5 - 1 - 2 - 3 - 4 - 0 6 7 8 9 0 - 6 - 0 - 8 - 9 - 0 0 2 4 1 6 - 0 - 2 - 4 - 1 - 6 8 9 7 3 5 - 8 - 9 - 7 - 0 - 5 5 7 9 1 3 - 5 - 0 - 9 - 1 - 3 4 8 2 6 0 - 4 - 0 - 2 - 6 - 0 2 6 4 8 7 - 2 - 6 - 0 - 8 - 7 0 9 5 3 1 - 0 - 9 - 5 - 0 - 1

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Name Date 1 2 3 4 5 - 1 - 2 - 0 - 4 - 0 6 7 8 9 0 - 6 - 7 - 0 - 9 - 0 0 2 4 1 6 - 0 - 2 - 4 - 1 - 6 8 9 7 3 5 - 8 - 9 - 7 - 3 - 5 5 7 9 1 3 - 5 - 7 - 0 - 1 - 3 4 8 2 6 0 - 4 - 0 - 2 - 6 - 0 2 6 4 8 7 - 2 - 6 - 4 - 8 - 0 0 9 5 3 1 - 0 - 9 - 5 - 3 - 0

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Name Date 1 10 2 20 5 - 1 - 10 - 2 - 20 - 5 50 7 70 9 90 - 50 - 7 - 70 - 9 - 90 3 30 4 40 8 - 3 - 30 - 4 - 40 - 8 80 6 60 3 300 - 80 - 6 - 60 - 3 - 300 5 500 9 900 7 - 5 - 500 - 9 - 900 - 7 700 8 800 6 600 - 700 - 80 - 800 - 6 - 600 2 200 4 400 7 - 2 - 200 - 4 - 400 - 7 700 9 900 3 300 - 700 - 9 - 900 - 3 - 300

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Easy Subtraction: The Difference of 1 Facts

This is a simple counting fact strategy. There are two ways to represent the minus one strategy visually. One involves the use of a number line. The second involves a ten frame.

Number Line for 5 – 1 0 1 2 3 4 5 6 7 8

A Ten Frame for 5 – 1 Demonstrating the Strategy You can use the number line to show basic minus one facts. Count ostate the number, and subtract one more. In the example above, you We have 5, and now we are going to take away 1. That gives us 4. L3, 4.” You can use a similar method for the ten frame AND you can

Take 1 away

Start with 5

Talk about “the difference” between 5 and

ut on the number line, would count, “1, 2, 3, 4, 5. et’s count to check. 1, 2, also start to develop an

S13

important general strategy: “Think Addition.” In other words, use the ten frame to get your students to see that 5 –1 involves the same numbers as 4 + 1. You might say, “We can think about this problem by counting up. Let’s look at the difference. 5 – 1 is the same as starting with 4 and counting up 1. When we do 5 –1, we ask, ‘what is the difference between 4 and 5. We can see that on the ten frame. We can use our add facts to answer these subtraction facts. You can think of 5 – 1 as 4 + 1 = 5.”

A Ten Frame for 5 - 4 Next, show them the fact 5 – 4 as shown above to reinforce this understanding of the difference between the numbers. Use the ten frame. Before you add the 1 chip, talk about the difference between 5 and 4. “Look at the fact 5 – 4. All we have to do is add up one. We can use the add fact 4 + 1 to answer this problem.” Use a number of different facts to communicate the minus one strategy.

Start with 4

Add 1 more

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Fact Families for Addition and Subtraction

5 4 1 A further way to start reinforcing the relationship between subtraction and addition facts is through FACT FAMILY CARDS. Little triangular cards show this relationship. Students can make up all of the facts that use these numbers (4 + 1 = 5, 1 + 4 = 5, 5 – 1 = 4, 5 – 4 = 1). General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

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Name Date

NEW FACTS Fact Strategy: Difference of 1

9 9 8 8 10 10 - 1 - 8 - 1 - 7 - 1 - 9 1 9 9 4 2 - 1 - 1 - 8 - 1 - 2 4 8 8 1 6 - 0 - 1 - 7 - 0 - 0 2 3 10 3 5 - 1 - 1 - 1 - 3 - 5 9 8 8 2 1 - 8 - 7 - 1 - 0 - 1 4 9 10 6 0 - 1 - 8 - 9 - 6 - 0 2 7 8 8 5 - 2 - 0 - 1 - 7 - 5 10 9 8 8 10 - 1 - 8 - 7 - 1 - 9

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Name Date 9 10 8 8 9 - 8 - 1 - 7 - 1 - 1 9 9 9 4 2 - 8 - 0 - 9 - 1 - 2 4 4 8 8 6 - 0 - 1 - 7 - 1 - 0 5 9 9 10 5 - 0 - 1 - 8 - 9 - 5 8 8 4 2 10 - 1 - 7 - 1 - 0 - 1 4 9 9 6 1 - 1 - 8 - 1 - 6 - 0 10 7 8 8 5 - 9 - 0 - 1 - 7 - 5 9 9 8 8 4 - 8 - 1 - 1 - 7 - 0

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Name Date 8 8 9 9 8 - 1 - 7 - 9 - 1 - 1 8 9 9 10 2 - 7 - 0 - 8 - 1 - 2 4 4 8 8 6 - 0 - 1 - 7 - 1 - 0 2 9 9 3 10 -2 - 1 - 8 - 3 - 9 8 8 4 9 1 - 1 - 7 - 1 - 9 - 0 4 10 9 6 1 - 1 - 9 - 1 - 6 - 0 8 7 8 8 10 - 8 - 0 - 1 - 7 - 1 9 9 8 8 4 - 8 - 1 - 1 - 7 - 4

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Name Date 9 90 900 9 90 - 1 - 10 - 100 - 8 -80 900 8 80 800 900 - 800 - 1 - 10 -100 - 800 90 9 8 80 800 - 80 - 8 - 1 - 10 - 100 800 80 8 800 80 - 700 - 70 - 7 - 700 - 70 9 900 10 100 9 - 1 - 100 - 1 - 10 - 8 90 8 800 80 800 - 80 - 1 - 100 - 10 - 700 8 80 10 100 9 - 7 - 70 - 9 - 90 - 1 900 800 80 90 800 - 100 - 100 - 10 - 80 - 700

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Name Date

NEW FACTS Fact Strategy: Difference of 1

7 7 6 6 - 1 - 6 - 1 - 5 1 7 7 4 2 - 1 - 1 - 6 - 0 - 2 4 6 6 1 6 - 0 - 1 - 5 - 0 - 0 6 3 9 3 6 - 6 - 1 - 1 - 3 - 5 6 7 7 7 1 - 1 - 6 - 1 - 7 - 1 4 9 7 7 0 - 1 - 0 - 1 - 6 - 0 9 7 6 6 5 - 9 - 0 - 1 - 5 - 5 7 6 8 7 6 - 1 - 1 - 0 - 6 - 5

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Name Date 6 6 7 7 9 - 1 - 5 - 1 - 6 - 1 1 7 9 4 2 - 1 - 6 - 8 - 0 - 2 4 6 6 1 6 - 0 - 1 - 5 - 0 - 0 7 8 9 6 6 - 7 - 8 - 1 - 1 - 5 8 7 7 9 1 - 0 - 1 - 6 - 9 - 1 4 9 9 7 7 - 1 - 0 - 1 - 6 - 2 5 7 6 6 6 - 5 - 0 - 6 - 5 - 1 7 7 8 6 6 - 6 - 1 - 0 - 1 - 5

S21

Name Date 7 7 6 6 9 - 6 - 1 - 5 - 1 - 1 7 7 5 8 2 - 1 - 6 - 4 - 1 - 2 4 6 9 6 6 - 0 - 6 - 8 - 1 - 0 3 7 7 7 5 - 3 - 7 - 6 - 1 - 5 8 7 8 8 1 - 0 - 1 - 7 - 8 - 1 4 9 9 8 8 - 1 - 9 - 1 - 0 - 1 5 7 6 6 6 - 5 - 0 - 6 - 5 - 1 7 7 8 7 6 - 6 - 1 - 8 - 7 - 0

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Name Date 7 7 9 6 2 - 1 - 6 - 8 - 1 - 2 7 7 6 8 9 - 6 - 1 - 5 - 1 - 1 4 6 4 6 6 - 0 - 6 - 4 - 1 - 0 8 3 7 8 1 - 0 - 1 - 6 - 8 - 1 3 7 9 7 5 - 3 - 7 - 8 - 1 - 5 4 9 9 8 8 - 1 - 9 - 1 - 0 - 1 7 7 3 8 6 - 6 - 1 - 2 - 7 - 0 5 7 7 6 6 - 4 - 0 - 6 - 5 - 1

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Name Date 7 70 700 7 7 - 1 - 10 - 100 - 1 - 6 70 700 7 6 60 - 60 - 600 - 6 - 1 - 10 600 6 6 600 60 - 100 - 1 - 5 - 500 - 50 70 600 60 700 600 - 10 - 500 - 50 - 100 - 100 60 70 8 800 80 - 10 - 60 - 1 - 100 - 10 80 700 700 900 90 - 70 - 600 - 100 - 100 - 10 90 900 70 700 70 - 80 - 800 - 10 - 600 - 60 700 60 600 60 600 - 100 - 50 - 500 - 10 - 100

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Name Date

NEW FACTS Fact Strategy: Difference of 1

5 5 4 4 - 1 - 4 - 1 - 3 5 4 5 4 2 - 1 - 1 - 4 - 3 - 2 4 3 4 1 6 - 0 - 1 - 1 - 0 - 0 9 3 4 3 7 - 9 - 1 - 1 - 3 - 1 5 5 7 9 9 - 4 - 1 - 6 - 1 - 8 4 8 8 6 0 - 1 - 7 - 1 - 5 - 0 6 7 4 9 5 - 1 - 0 - 1 - 0 - 4 5 2 5 4 4 - 1 - 2 - 0 - 3 - 1

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Name Date 5 5 4 4 9 - 1 - 4 - 1 - 3 - 9 5 4 5 4 2 - 1 - 1 - 4 - 3 - 2 4 3 4 1 6 - 0 - 3 - 1 - 0 - 0 8 7 4 3 7 - 8 - 7 - 1 - 3 - 1 5 5 7 9 9 - 4 - 1 - 6 - 1 - 8 4 8 8 6 0 - 1 - 7 - 1 - 5 - 0 6 7 4 9 5 - 1 - 0 - 1 - 0 - 4 5 2 5 4 4 - 1 - 2 - 0 - 3 - 1

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Name Date 7 7 8 8 8 - 1 - 6 - 1 - 7 - 8 5 4 5 4 2 - 1 - 1 - 4 - 3 - 2 4 3 4 1 6 - 0 - 3 - 1 - 0 - 0 7 4 8 4 7 - 7 - 1 - 8 - 3 - 1 5 5 7 9 9 - 4 - 1 - 6 - 1 - 8 4 8 8 6 6 - 1 - 7 - 1 - 5 - 1 1 7 7 9 9 - 1 - 6 - 1 - 8 - 1 5 5 4 4 9 - 1 - 4 - 1 - 3 - 9

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Name Date 7 70 700 7 5 - 1 - 10 - 100 - 1 - 1 50 500 5 5 500 - 10 - 100 - 1 - 4 - 400 50 4 40 400 4 - 40 - 1 - 10 - 100 - 3 40 400 60 40 500 - 30 - 300 - 50 - 10 - 100 5 50 4 400 40 - 4 - 40 - 3 - 300 - 30 5 50 500 4 400 - 1 - 10 - 100 - 1 - 100 4 40 50 500 50 - 3 - 30 - 40 - 400 - 10 90 900 90 40 400 - 80 - 800 - 10 - 30 - 300

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Name Date

NEW FACTS Fact Strategy: Difference of 1

3 3 2 1 - 1 - 2 - 1 - 0 6 6 3 3 2 - 1 - 5 - 2 - 1 - 1 4 4 3 1 6 - 3 - 1 - 1 - 0 - 0 2 3 5 3 5 - 1 - 1 - 1 - 2 - 4 1 7 7 2 3 - 0 - 6 - 1 - 1 - 1 8 8 2 9 9 - 1 - 7 - 0 - 1 - 8 2 7 3 3 5 - 1 - 0 - 1 - 2 - 4 5 1 5 3 3 - 1 - 0 - 0 - 2 - 1

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Name Date 3 3 2 1 1 - 1 - 2 - 1 - 1 - 0 6 6 3 3 2 - 1 - 5 - 2 - 1 - 1 4 4 3 1 6 - 3 - 1 - 1 - 0 - 0 2 3 5 3 5 - 1 - 1 - 1 - 2 - 4 1 7 7 2 6 - 0 - 6 - 1 - 1 - 1 8 8 2 9 9 - 1 - 7 - 0 - 1 - 8 2 7 3 3 5 - 1 - 0 - 1 - 2 - 4 5 3 5 1 3 - 1 - 2 - 0 - 0 - 1

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Name Date 8 8 2 1 1 - 1 - 7 - 1 - 1 - 0 9 9 3 3 2 - 1 - 8 - 2 - 1 - 1 4 4 7 7 6 - 3 - 1 - 1 - 6 - 1 6 3 3 5 8 - 5 - 1 - 2 - 4 - 8 1 7 7 2 10 - 0 - 6 - 1 - 1 - 1 9 8 8 9 9 - 9 - 7 - 1 - 1 - 8 7 3 3 7 1 - 1 - 1 - 2 - 7 - 0 5 5 6 6 2 - 1 - 4 - 5 - 1 - 1

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Name Date 3 30 300 300 3 - 1 - 10 - 100 - 200 - 2 30 2 20 200 300 - 20 - 1 - 10 - 100 - 200 300 1 10 20 200 - 200 - 0 - 0 - 10 - 100 300 30 20 900 90 - 100 - 20 - 10 - 100 - 10 90 900 80 800 1 - 80 - 800 - 10 - 100 - 0 10 100 300 30 30 - 0 - 0 - 100 - 10 - 20 50 500 5 50 500 - 40 - 400 - 1 - 10 - 100 200 80 70 80 300 - 100 - 10 - 10 - 70 - 200

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Easy Subtraction: The Difference of 2 Facts

This is also a simple counting fact strategy. There are two ways to represent the minus two strategy visually. One involves the use of a number line. The second involves a ten frame.

Number Line for 5 – 2 0 1 2 3 4 5 6 7 8

A Ten Frame for 5 - 2 Demonstrating the Strategy You can use the number line to show basic minus two facts. Count ostate the number, and then state that you are going to take two away. you would count, “1, 2, 3, 4, 5. We have 5, and now we are going to

Take these 2 away

Start with 5

Talk about thedifference between 5 and 3.

ut on the number line, In the example above, take 2 away. 4, 3, that

S33

gives us 3.” You can use a similar method for the ten frame AND you can also start to develop an important general strategy: “Think Addition.” In other words, use the ten frame to get your students to see that 5 – 3 involves the same numbers as 3 + 2. You might say, “We can think about this problem by counting up. Let’s look at the difference. 5 – 3 is the same as starting with 3 and counting up 2. When we do 5 –3, we ask, ‘what is the difference between 3 and 5. We can see that on the ten frame. We can use our add facts to answer these subtraction facts. You can think of 5 – 3 as 3 + 2 = 5.”

A Ten Frame for 5 – 3 Next, show them the fact 5 – 3 as shown above to reinforce this understanding of the difference between the numbers. Use the ten frame. Before you add the 2 chips, talk about the difference between 5 and 3. “Look at the fact 5 – 3. All we have to do is add up two. We can use the add fact 3 + 2 = 5 to answer this problem.” You can continue to use FACT FAMILY CARDS to reinforce the addition and subtraction fact relationships. Note: the larger dots in the tens frame just demonstrate a change or in this case, what is added. In class, you can use dots or chips that are all the same size. Use a number of different facts to communicate the minus two strategy. General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

Start with 3

Add 2 more

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Name Date

NEW FACTS Fact Strategy: Difference of 2

9 9 8 8 - 2 - 7 - 2 - 6 1 9 9 4 2 - 1 - 2 - 7 - 0 - 2 4 8 8 1 6 - 4 - 2 - 6 - 0 - 0 2 3 9 9 9 - 1 - 1 - 1 - 7 - 2 9 8 8 2 1 - 1 - 6 - 2 - 1 - 1 4 9 9 8 8 - 1 - 0 - 7 - 6 - 8 2 7 8 8 5 - 1 - 0 - 1 - 2 - 5 9 9 8 8 9 - 2 - 9 - 2 - 6 - 7

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Name Date 9 9 8 8 8 - 7 - 2 - 6 - 2 - 1 9 9 9 9 2 - 1 - 7 - 2 - 0 - 2 4 8 8 8 8 - 0 - 6 - 2 - 0 - 1 2 3 9 9 9 - 1 - 1 - 2 - 7 - 9 9 8 8 2 1 - 1 - 1 - 0 - 1 - 1 4 9 9 8 8 - 1 - 2 - 7 - 2 - 6 2 7 8 8 5 - 1 - 0 - 1 - 2 - 1 9 9 8 8 9 - 2 - 9 - 2 - 6 - 7

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Name Date 8 8 9 9 8 - 6 - 2 - 7 - 2 - 6 8 7 9 5 2 - 2 - 1 - 9 - 5 - 1 4 9 9 5 8 - 1 - 2 - 7 - 0 - 1 2 3 9 9 7 - 1 - 1 - 2 - 7 - 1 6 5 8 2 1 - 1 - 5 - 0 - 1 - 1 4 9 9 8 6 - 1 - 2 - 7 - 1 - 6 2 7 8 8 5 - 1 - 0 - 6 - 2 - 5 9 9 2 8 9 - 1 - 9 - 2 - 1 - 0

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Name Date 9 90 900 9 9 - 2 - 20 - 200 - 2 - 7 90 900 8 80 800 - 70 - 700 - 6 - 60 - 600 8 800 80 80 800 - 2 - 200 - 20 - 60 - 600 900 90 900 8 80 - 200 - 20 - 700 - 2 - 20 800 80 90 900 90 - 600 - 60 - 70 - 700 - 20 900 9 800 80 80 - 200 - 7 - 200 - 20 - 60 800 900 90 900 90 - 600 - 700 - 20 - 200 - 70 90 80 800 90 800 - 70 - 60 - 200 - 20 - 600

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Name Date

NEW FACTS Fact Strategy: Difference of 2

7 7 6 6 - 2 - 5 - 2 - 4 6 7 7 4 2 - 4 - 2 - 5 - 0 - 2 4 6 6 1 6 - 0 - 2 - 4 - 0 - 0 2 3 9 3 6 - 1 - 1 - 1 - 3 - 6 6 7 7 2 6 - 1 - 5 - 2 - 1 - 2 4 9 7 7 6 - 1 - 0 - 1 - 0 - 4 2 7 7 6 5 - 1 - 2 - 5 - 0 - 5 7 6 6 7 6 - 1 - 2 - 4 - 7 - 6

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Name Date 7 7 6 6 8 - 5 - 2 - 4 - 2 - 1 1 7 9 9 2 - 0 - 7 - 2 - 7 - 2 6 6 4 7 6 - 4 - 2 - 4 - 5 - 0 2 3 9 3 6 - 1 - 1 - 1 - 0 - 6 6 8 8 2 1 - 1 - 2 - 6 - 1 - 1 4 9 7 7 0 - 1 - 0 - 1 - 0 - 0 2 2 5 6 5 - 1 - 2 - 5 - 0 - 5 7 6 6 7 6 - 1 - 4 - 2 - 7 - 6

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Name Date 6 6 7 7 5 - 4 - 2 - 2 - 5 - 1 9 7 7 5 2 - 0 - 2 - 5 - 5 - 0 6 6 6 0 6 - 0 - 2 - 4 - 0 - 6 2 3 9 9 9 - 1 - 1 - 2 - 7 - 9 7 7 8 8 1 - 2 - 5 - 2 - 6 - 1 4 4 7 7 7 - 1 - 3 - 1 - 6 - 7 2 2 5 6 6 - 1 - 2 - 5 - 2 - 4 7 7 6 8 8 - 2 - 5 - 1 - 6 - 2

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Name Date 7 70 700 70 7 - 2 - 20 - 200 - 50 - 5 700 60 600 6 6 - 500 - 40 - 400 - 4 - 2 60 600 70 70 60 - 20 - 200 - 20 - 50 - 20 60 600 600 6 700 - 40 - 200 - 400 - 4 - 500 70 70 700 7 60 - 50 - 20 - 200 - 2 - 20 90 900 90 800 80 - 20 - 700 - 70 - 200 - 20 80 800 700 70 70 - 60 - 600 - 200 - 20 - 50 700 60 600 70 60 - 500 - 20 - 400 - 20 - 40

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Name Date

NEW FACTS Fact Strategy: Difference of 2

5 5 4 3 3 - 2 - 3 - 2 - 1 - 2 5 5 7 3 2 - 2 - 3 - 0 - 2 - 0 3 4 8 1 6 - 1 - 2 - 6 - 0 - 0 2 3 9 9 8 - 1 - 2 - 2 - 7 - 8 6 7 3 5 5 - 1 - 0 - 1 - 2 - 3 4 9 7 7 0 - 2 - 9 - 2 - 5 - 0 3 7 6 6 5 - 2 - 0 - 2 - 4 - 5 5 5 3 7 4 - 3 - 2 - 2 - 1 - 2

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Name Date 5 5 4 9 2 - 3 - 2 - 2 - 1 - 0 5 5 7 7 9 - 2 - 3 - 0 - 1 - 2 9 8 4 1 6 - 7 - 1 - 2 - 0 - 2 6 3 5 5 3 - 4 - 1 - 2 - 3 - 2 8 7 7 7 5 - 6 - 0 - 2 - 5 - 3 5 9 7 7 0 - 2 - 9 - 1 - 7 - 0 3 7 3 4 5 - 1 - 0 - 2 - 0 - 5 5 5 7 7 4 - 2 - 3 - 1 - 6 - 2

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Name Date 4 5 5 9 9 - 2 - 2 - 3 - 2 - 8 8 8 7 7 3 - 2 - 6 - 2 - 5 - 2 4 8 4 3 6 - 2 - 7 - 2 - 1 - 2 6 5 5 4 4 - 4 - 2 - 3 - 3 - 1 4 8 7 5 5 - 2 - 0 - 1 - 2 - 3 3 9 9 7 7 - 2 - 1 - 8 - 6 - 1 3 6 4 6 5 - 1 - 4 - 1 - 2 - 1 5 5 4 4 4 - 2 - 3 - 3 - 1 - 2

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Name Date 5 50 500 500 50 - 2 - 20 - 200 - 300 -30 5 40 400 4 30 - 3 - 20 - 200 - 2 - 20 300 30 3 400 40 - 200 - 10 - 1 - 200 - 20 50 500 4,000 50 500 - 20 - 300 - 2,000 - 30 - 200 30 300 30 300 5 - 20 - 200 - 10 - 100 - 2 50 40 500 30 300 - 20 - 20 - 300 - 20 - 100 50 500 400 50 40 - 30 - 200 - 200 - 30 - 20 300 30 50 50 500 - 200 - 10 - 20 - 30 - 200

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Easy Subtraction: The Doubles Facts

It may be surprising, but students learn doubles facts faster than many other subtraction facts. One of the best ways to communicate this strategy is to use a ten frame.

A Ten Frame for 8 – 4 Demonstrating the Strategy You can use the tens frame to show doubles facts. In the example above, you would start with eight in the way pictured. Take away 4, and ask how many. Be sure to relate this to the fact 4 + 4 = 8. You can continue to use FACT FAMILY CARDS to reinforce the addition and subtraction fact relationships. General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

Subtract 4

Start with 8

Talk about the difference between

8 and 4

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Name Date

NEW FACTS Fact Strategy: Doubles

10 8 6 4 2 - 5 - 4 - 3 - 2 - 1 1 10 3 6 4 - 1 - 5 - 1 - 3 - 2 4 8 9 10 6 - 0 - 4 - 8 - 5 - 0 8 3 4 6 5 - 8 - 1 - 1 - 3 - 5 5 7 3 9 7 - 0 - 7 - 1 - 9 - 6 4 8 2 6 5 - 1 - 4 - 0 - 3 - 4 9 7 4 9 10 - 1 - 0 - 2 - 0 - 5 8 8 6 3 4 - 7 - 4 - 3 - 1 - 0

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Name Date 9 9 8 6 4 - 8 - 1 - 4 - 3 - 2 7 10 3 6 7 - 6 - 5 - 0 - 6 - 2 4 8 6 5 6 - 0 - 4 - 5 - 5 - 3 2 3 4 6 5 - 1 - 2 - 2 - 3 - 0 5 7 3 5 4 - 0 - 1 - 0 -4 - 1 4 8 2 6 10 - 3 - 4 - 0 - 3 - 5 9 7 4 9 6 - 9 - 6 - 0 - 8 - 5 7 8 6 3 4 - 7 - 7 - 3 - 1 - 2

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Name Date 9 6 8 6 4 -2 -1 - 5 - 4 - 3 4 4 4 7 8 - 1 - 2 - 0 - 6 - 4 9 8 9 10 3 - 0 - 7 - 1 - 5 - 3 9 3 4 6 5 - 8 - 2 - 2 - 3 - 5 5 7 3 7 8 - 0 - 6 - 2 -5 - 7 4 8 8 6 10 - 2 - 4 - 8 - 3 - 5 5 7 4 9 6 - 4 - 6 - 3 - 8 - 5 1 8 8 7 7 - 0 - 6 - 2 - 1 - 6

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Name Date 4 40 400 6 60 -2 -20 - 200 - 3 - 30 600 8 80 800 10 - 300 - 4 - 40 - 400 - 5 100 60 40 400 1,000 - 50 - 30 - 20 - 200 - 500 800 80 600 10 100 - 400 - 40 - 400 - 5 - 50 400 40 20 200 6 - 200 -20 - 10 -100 - 3 600 10 100 60 800 -300 - 5 - 50 - 30 -400 2 20 4 400 10 - 1 - 10 - 2 - 200 - 5 100 8 800 6 60 - 50 - 4 - 400 - 3 - 30

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UNIT 4 Hard Subtraction Facts The Essentials There are 38 hard facts, and they will take a longer time to teach than the easy facts. Like the addition facts, one of the main ideas in the hard subtraction facts is working “through ten.” However, students will learn to both work “up through 10” and “down through 10.” Again, ten frames are a useful way to communicate the strategies for these hard subtraction facts. The facts that “build up through 10” involve a subtracted number that is either 8 or 9. The idea is a simple one. Add until you get ten, and then the rest of the number. Thus, 15 – 8 = would be modeled by 8 + 2 is 10 and 5 more is 15 so the difference is 2 + 5 or 7.

Build Up Through Ten Fact 15 – 8 = 8 + 2 + 5 The only remaining strategy is to “back down through 10.” This is the only one that does not require the student to think addition. These facts have a difference of 8 or 9. Again, 10 is the key number to the strategy. In the case of 14 – 6, the student subtracts 4 from 14 to get 10, and then 4 more to get 6. The difference is 4 + 4 or 8.

S52

Hard Subtraction Fact Strategy Sets

Fact Strategy Example Number of sheets

(includes strategy sheet, practice sheet(s), and extended facts sheet)

Page

Doubles Plus 1 You want to review the double plus 1 addition facts to make this strategy useful. Again, you want students to think addition. 7 – 3 can be re-written as 3 + 3 + 1 = 7 so 7 – 3 = 4

7 – 3 = 4

4 S53

Ten Frame and Difference of 5 You want to use the ten frame to communicate these facts. You also want to link these facts to addition.

10 – 7 = 3 8 – 5 = 3 9 – 4 = 5

16 S58

Through 10: Going Up The key idea is to add up to 10 and then add the remainder. In these facts, the subtracted part is 8 or 9.

13 – 9 = 9 + 1 + 3 13 – 9 = 4

24 S76

Through 10: Going Down This is the only strategy that isn’t “think addition.” The difference between the numbers is 8 or 9, and the student “backs down to 10” and then backs down to the number.

13 – 8 = 13 – 3 = 10, 10 – 5 = 5

24 S101

No Strategy: The Left Overs These are the “left over” facts, and there are only a few of them.

9 – 3 = 6, 9 – 6 = 3, and 7 – 4 = 3.

3 S127

S53

Hard Subtraction: The Doubles Plus 1 Facts

One of our main themes with subtraction is, “think addition.” In doing so, we encourage students to find the difference between two numbers. This strategy makes the theme of “think addition” explicit. It is the same one that we used earlier with addition. One of the best ways to communicate this strategy is to use a ten frame.

A Ten Frame for 7 – 3 Demonstrating the Strategy You can use the tens frame to show doubles plus 1 facts in the context of subtraction. In the example above, you would start with 3 in the way pictured. Add 3 more, and ask how many. Then take add one more. Be sure to make clear that we are “finding the difference” and that we can treat facts such as these as doubles plus 1 facts. You can continue to use FACT FAMILY CARDS to reinforce the addition and subtraction fact relationships. General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

Add 3 More

Start with 3

Add 1 more

S54

Name Date

NEW FACTS Fact Strategy: Doubles Plus 1

9 7 5 3 - 4 - 3 - 2 - 1 9 10 3 7 5 - 9 - 5 - 1 - 3 - 2 4 9 3 10 6 - 0 - 4 - 1 - 5 - 0 2 3 4 7 5 - 1 - 1 - 2 - 3 - 5 5 7 3 2 9 - 0 - 3 - 1 - 0 - 8 4 9 5 7 7 - 1 - 4 - 2 - 3 - 7 3 7 4 9 10 - 1 - 0 - 2 - 4 - 5 8 8 6 3 4 - 8 - 4 - 3 - 1 - 4

S55

Name Date 3 5 7 9 8 - 1 - 2 - 3 - 4 - 1 9 5 3 7 9 - 9 - 4 - 1 - 3 - 4 4 9 9 10 6 - 0 - 4 - 1 - 5 - 0 9 3 5 7 9 - 9 - 1 - 2 - 3 - 4 5 7 8 2 1 - 0 - 3 - 8 - 0 - 1 4 9 5 5 9 - 1 - 4 - 2 - 3 - 8 3 7 4 9 9 - 1 - 0 - 1 - 4 - 5 7 8 6 3 3 - 7 - 4 - 3 - 1 - 2

S56

Name Date 7 5 3 9 3 - 3 - 2 - 1 - 4 - 1 9 7 5 7 7 - 8 - 2 - 3 - 3 - 4 4 9 9 10 6 - 0 - 4 - 5 - 5 - 1 2 3 5 7 9 - 1 - 1 - 5 - 3 - 9 5 7 3 2 7 - 2 - 3 - 1 - 0 - 6 4 9 5 7 8 - 1 - 4 - 2 - 3 - 0 3 7 4 9 9 - 1 - 4 - 1 - 4 - 5 9 5 6 3 3 - 8 - 2 - 3 - 1 - 0

S57

Name Date 7 70 700 5 50 - 3 - 30 - 300 - 2 - 20 500 9 90 900 6 - 200 - 4 - 40 - 400 - 1 60 600 9 900 9 - 10 - 100 - 4 - 400 - 4 90 6 60 600 9 - 40 - 1 - 10 - 100 - 4 90 900 5 500 7 - 40 - 400 - 2 - 200 - 3 700 70 6 60 600 - 300 - 30 - 1 - 10 - 100 9 90 900 5 50 - 4 - 40 - 400 - 2 - 20 500 6 60 600 70 - 200 - 1 - 10 - 100 - 30

S58

Hard Subtraction: Ten Frames and Difference of 5 Facts

These facts all take advantage of the ten frame. They follow the same strategy as the Minus 1 and Minus 2 facts, and they help students “see the difference” and see how adding and subtracting facts are connected.

A Ten Frame for 10 – 2 Demonstrating the Strategy In the example above, you would fill the ten frame and ask, “How many?” Take away two chips and ask, “How many?” Students should be able to count down to 8, but they should also see the relationship with 8 + 2 = 10. To do this, show them 10 – 8. Start with 8 chips, add 2 and count up to 10. Talk about how these facts relate to 8 + 2 = 10.

Take these 2 away

Start with 10

Talk about the difference between 10 and 8.

S59

A Ten Frame for 9 – 4 A similar set of procedures holds for the facts that have a difference of 5. Given the structure of the ten frame, students should be able to see the set of five that remain. Relate this fact to 5 + 4 = 9. You can continue to use FACT FAMILY CARDS to reinforce the addition and subtraction fact relationships. General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

Take these 4 away

Start with 9

Talk about the difference between 9 and 5.

S60

Name Date

NEW FACTS Fact Rule: Ten Frames

10 10 10 10 - 2 - 3 - 4 - 5 1 10 3 10 10 - 1 - 5 - 1 - 3 - 2 4 10 2 10 6 - 0 - 4 - 1 - 5 - 0 2 3 4 10 5 - 1 - 2 - 1 - 3 - 5 5 7 10 2 10 - 0 - 7 - 4 - 1 - 2 4 10 2 6 8 - 1 - 5 - 0 - 3 - 0 2 7 4 9 10 - 1 - 6 - 2 - 8 - 3 10 10 6 3 4 - 2 - 4 - 3 - 1 - 3

S61

Name Date 10 10 10 10 9 - 3 - 4 - 5 - 2 - 8 8 10 3 10 10 - 1 - 3 - 2 - 4 - 2 4 2 9 10 6 - 4 - 2 - 9 - 5 - 0 2 10 4 10 5 - 1 - 2 - 1 - 3 - 5 5 7 10 8 4 - 0 - 6 - 4 - 8 - 2 4 8 2 10 0 - 1 - 5 - 0 - 5 - 0 7 7 10 9 10 - 7 - 6 - 2 - 8 - 3 10 10 10 6 10 - 2 - 4 - 3 - 5 - 5

S62

Name Date 10 10 10 10 8 - 5 - 2 - 3 - 4 - 8 9 10 3 10 10 - 1 - 5 - 2 - 4 - 3 5 3 2 10 6 - 4 - 2 - 1 - 2 - 0 2 10 4 10 5 - 1 - 4 - 1 - 5 - 5 5 7 10 8 4 - 0 - 6 - 3 - 8 - 2 4 8 2 10 9 - 1 - 5 - 0 - 2 - 9 7 6 10 9 10 - 7 - 6 - 5 - 8 - 4 2 10 10 3 10 - 2 - 2 - 3 - 1 - 5

S63

Name Date 10 100 100 100 10 - 5 - 50 - 40 - 30 - 2 100 10 10 10 100 - 20 - 3 - 2 - 4 - 40 10 100 10 100 10 - 3 - 30 - 3 - 50 - 2 100 10 100 10 100 - 20 - 4 - 40 - 5 - 50 10 100 100 100 100 - 2 - 30 - 40 - 20 - 50 10 100 100 10 100 - 2 - 20 - 30 - 4 - 50 10 10 100 100 100 - 5 - 3 - 40 - 20 - 30 10 100 10 100 10 - 2 - 30 - 4 - 50 - 3

S64

Name Date

NEW FACTS Fact Rule: Ten Frames

10 10 10 - 6 - 7 - 8 9 10 3 10 10 - 9 - 6 - 1 - 7 - 8 4 10 8 10 6 - 0 - 4 - 8 - 5 - 0 2 3 4 10 5 - 1 - 2 - 1 - 3 - 5 5 7 10 7 10 - 0 - 7 - 8 - 7 - 6 4 10 2 6 8 - 1 - 7 - 0 - 3 - 0 6 7 4 9 10 - 6 - 6 - 2 - 8 - 3 10 10 6 3 4 - 2 - 8 - 3 - 1 - 3

S65

Name Date 10 10 10 10 8 - 8 - 7 - 6 - 2 - 1 9 10 3 10 10 - 9 - 8 - 1 - 3 - 7 4 10 7 10 6 - 0 - 4 - 6 - 6 - 0 8 3 4 10 5 - 7 - 0 - 2 - 3 - 4 5 7 10 8 10 - 0 - 7 - 5 - 6 - 8 4 10 2 6 8 - 1 - 7 - 0 - 3 - 8 6 7 4 9 10 - 5 - 6 - 2 - 8 - 3 10 10 10 8 4 - 7 - 2 - 8 - 7 - 3

S66

Name Date 10 10 10 4 8 - 7 - 8 - 6 - 2 - 1 10 10 3 10 10 - 3 - 7 - 1 - 2 - 8 4 10 9 10 6 - 3 - 4 - 8 - 6 - 0 8 3 10 10 5 - 7 - 0 - 7 - 3 - 4 5 7 10 6 10 - 0 - 7 - 6 - 5 - 4 4 10 2 6 8 - 1 - 5 - 0 - 3 - 8 9 7 4 9 10 - 9 - 6 - 2 - 4 - 8 10 10 10 10 10 - 7 - 3 - 6 - 2 - 4

S67

Name Date 10 100 100 100 10 - 7 - 70 - 80 - 90 - 8 100 10 1 00 10 100 - 60 - 5 - 50 - 6 - 40 10 100 10 100 10 - 6 - 60 - 4 - 40 - 3 100 10 100 10 100 - 40 - 7 - 70 - 8 - 80 10 100 100 100 100 - 9 - 90 - 20 - 50 - 60 100 100 100 10 100 - 70 - 50 - 40 - 3 - 90 100 10 100 100 10 - 80 - 5 - 40 - 60 - 8 100 100 10 100 100 - 60 - 50 - 2 - 30 - 40

S68

Name Date

NEW FACTS Fact Rule: Difference of 5

9 8 7 6 - 4 - 3 - 2 - 1 2 9 9 8 8 - 1 - 5 - 4 - 3 - 5 4 10 7 7 7 - 2 - 4 - 6 - 2 - 5 9 3 4 6 6 - 8 - 2 - 1 - 1 - 5 5 7 9 9 10 - 0 - 5 - 4 - 5 - 2 4 10 2 8 8 - 1 - 5 - 0 - 3 - 5 9 7 7 7 10 - 9 - 6 - 2 - 5 - 3 10 10 6 6 4 - 2 - 4 - 1 - 5 - 3

S69

Name Date 8 9 6 7 7 - 3 - 4 - 1 - 2 - 6 6 6 9 9 8 - 1 - 5 - 4 - 5 - 0 8 8 8 7 7 - 3 - 5 - 8 - 2 - 5 9 3 4 6 6 - 9 - 0 - 1 - 1 - 5 5 9 9 10 10 - 0 - 5 - 4 - 5 - 2 4 10 2 8 8 - 1 - 5 - 0 - 5 - 3 7 7 6 6 10 - 5 - 6 - 5 - 1 - 3 10 10 9 9 4 - 2 - 4 - 4 - 5 - 3

S70

Name Date 6 8 5 7 1 - 1 - 3 - 4 - 2 - 1 6 6 9 9 8 - 6 - 1 - 4 - 5 - 3 7 8 6 7 6 - 2 - 5 - 1 - 5 - 5 2 3 4 6 6 - 1 - 1 - 3 - 5 - 1 5 8 8 9 9 - 0 - 5 - 3 - 5 - 4 4 10 2 8 8 - 1 - 5 - 0 - 5 - 3 9 7 6 6 5 - 1 - 0 - 5 - 3 - 1 7 9 8 8 6 - 2 - 4 - 3 - 5 - 1

S71

Name Date 6 60 600 7 70 - 1 - 10 - 100 - 2 - 20 700 8 80 800 9 - 200 - 3 - 30 - 300 - 4 90 900 60 80 800 - 40 - 400 - 10 - 30 - 300 70 60 600 700 90 - 20 - 10 - 100 - 200 - 40 9 900 80 800 6 - 4 - 400 - 30 - 300 - 1 60 700 800 600 80 - 50 - 200 - 300 - 100 - 30 9 90 900 9 60 - 4 - 40 - 400 - 4 - 10 600 700 60 900 800 - 100 - 200 - 10 - 400 - 300

S72

Name Date

NEW FACTS Fact Rule: Difference of 5

9 8 7 6 - 5 - 5 - 5 - 5 7 9 3 10 8 - 6 - 5 - 1 - 5 - 5 4 10 9 7 6 - 2 - 4 - 8 - 5 - 5 5 3 4 10 9 - 5 - 2 - 1 - 3 - 5 5 7 10 6 10 - 0 - 5 - 4 - 5 - 2 4 10 2 6 8 - 1 - 5 - 0 - 3 - 5 9 7 4 9 10 - 8 - 6 - 2 - 5 - 3 10 10 6 3 4 - 2 - 4 - 3 - 1 - 3

S73

Name Date 6 7 8 9 3 - 5 - 5 - 5 - 1 - 1 2 6 3 7 8 - 0 - 5 - 1 - 5 - 5 4 10 9 9 6 - 2 - 4 - 8 - 5 - 5 7 3 4 10 7 - 6 - 2 - 1 - 3 - 5 5 8 10 9 10 - 0 - 5 - 4 - 7 - 2 4 6 2 6 7 - 1 - 5 - 0 - 3 - 5 5 7 4 8 9 - 4 - 6 - 2 - 5 - 0 10 10 9 3 4 - 2 - 4 - 5 - 1 - 3

S74

Name Date 7 8 9 6 5 - 5 - 5 - 5 - 4 - 1 9 6 6 7 9 - 0 - 1 - 5 - 6 - 5 4 10 9 8 7 - 2 - 4 - 8 - 5 - 2 7 6 4 10 7 - 6 - 6 - 1 - 3 - 5 5 9 10 6 10 - 0 - 5 - 4 - 5 - 2 4 6 8 6 7 - 1 - 4 - 7 - 3 - 5 5 7 4 8 9 - 4 - 6 - 2 - 5 - 5 5 10 6 3 4 - 2 - 4 - 5 - 2 - 1

S75

Name Date 7 70 700 600 60 - 5 - 50 - 500 - 500 - 50 70 6 80 800 700 - 50 - 5 - 50 - 500 - 500 6 600 8 80 800 - 5 - 500 - 5 - 50 - 500 900 7 70 8 80 - 500 - 5 - 50 - 5 - 50 9 90 6 60 9 - 5 - 50 - 5 - 50 - 5 900 7 70 8 800 - 500 - 5 - 50 - 5 - 500 6 600 60 800 8 - 5 - 500 - 50 - 500 - 5 900 7 6 700 70 - 500 - 5 - 5 - 500 - 50

S76

Hard Subtraction: Through 10 - Going Up Facts

The ten frames help students understand this strategy. It also reinforces the structure of the base ten as a way of thinking about certain subtraction facts.

A Ten Frame for 14 – 9 Demonstrating the Strategy You can use the tens frame to show build up through tens facts. In the example above, you would start with nine. Add one more and note that you’ve reached 10. Then add the 5 more chips. Note that you have built up to 14. Discuss the difference of 5. 14 – 9 = 5. Point out the pattern that they used 10 to figure out the answer. Use a number of different facts to communicate the strategy. You can continue to use FACT FAMILY CARDS to reinforce the addition and subtraction fact relationships. General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

Start with 9 chips

Add 1 more

Add 4 more

S77

Name Date

NEW FACTS Fact Strategy: Through 10 – Going Up

11 12 13 14 - 9 - 9 - 9 - 9 14 12 2 7 11 - 9 - 9 - 1 - 2 - 9 13 3 14 6 12 - 9 - 2 - 9 - 1 - 9 11 7 13 9 14 - 9 - 5 - 9 - 5 - 9 4 10 12 11 8 - 1 - 5 - 9 - 9 - 5 13 7 14 12 10 - 9 - 6 - 9 - 9 - 3 11 13 6 6 14 - 9 - 9 - 1 - 5 - 9

S78

Name Date 14 11 12 9 9 - 9 - 9 - 9 - 9 - 1 1 14 5 13 8 - 1 - 9 - 4 - 9 - 5 4 12 2 7 11 - 2 - 9 - 1 - 2 - 9 14 3 13 6 6 - 9 - 2 - 9 - 1 - 5 12 7 9 9 13 - 9 - 5 - 4 - 5 - 9 4 10 14 8 8 - 1 - 5 - 9 - 3 - 5 13 7 7 12 10 - 9 - 6 - 2 - 9 - 3 10 13 6 6 11 - 2 - 9 - 1 - 5 - 9

S79

Name Date 12 14 13 11 10 - 9 - 9 - 9 - 9 - 1 8 12 5 14 11 - 1 - 9 - 4 - 9 - 9 4 13 2 7 12 - 2 - 9 - 1 - 2 - 9 14 3 11 6 6 - 9 - 2 - 9 - 1 - 5 12 7 9 9 13 - 9 - 5 - 4 - 5 - 9 4 10 14 8 11 - 1 - 5 - 9 - 3 - 9 13 7 7 12 10 - 9 - 6 - 2 - 9 - 3 10 14 6 6 11 - 2 - 9 - 1 - 5 - 9

S80

Name Date 11 14 12 13 10 - 9 - 9 - 9 - 9 - 1 8 12 5 14 9 - 1 - 9 - 4 - 9 - 9 4 13 7 7 12 - 2 - 9 - 5 - 2 - 9 14 3 11 6 6 - 9 - 2 - 9 - 2 - 4 12 7 9 9 13 - 9 - 5 - 8 - 1 - 9 4 10 14 4 9 - 1 - 5 - 9 - 3 - 8 13 7 7 12 10 - 9 - 5 - 2 - 9 - 3 10 14 6 6 11 - 7 - 9 - 1 - 5 - 9

S81

Name Date 14 13 12 11 10 - 9 - 9 - 9 - 9 - 9 8 8 5 5 9 - 1 - 7 - 4 - 1 - 2 9 13 7 7 12 - 7 - 9 - 6 - 1 - 9 14 4 11 5 5 - 9 - 2 - 9 - 2 - 3 12 7 7 9 9 - 9 - 5 - 2 - 1 - 8 4 10 14 4 4 - 1 - 5 - 9 - 3 - 2 13 7 7 12 9 - 9 - 1 - 6 - 9 - 1 9 14 14 16 18 - 8 - 9 - 4 - 8 - 9

S82

Name Date 12 120 11 110 14 - 9 - 90 - 9 - 90 - 9 140 13 130 14 140 - 90 - 9 - 90 - 9 - 90 120 140 130 110 12 - 90 - 90 - 90 - 90 - 9 130 11 110 14 140 - 90 - 9 - 90 - 9 - 90 12 120 11 110 130 - 9 - 90 - 9 - 90 - 90 120 110 130 140 14 - 90 - 90 - 90 - 90 - 9 11 130 13 120 110 - 9 - 90 - 9 - 90 - 90 140 120 130 110 12 - 90 - 90 - 90 - 90 - 9

S83

Name Date

NEW FACTS Fact Strategy: Through 10 – Going Up

15 16 17 18 19 - 9 - 9 - 9 - 9 - 9 18 15 5 9 8 - 9 - 9 - 4 - 0 - 5 4 16 19 12 17 - 2 - 9 - 9 - 9 - 9 15 3 18 6 6 - 9 - 2 - 9 - 1 - 5 12 10 11 9 16 - 9 - 5 - 9 - 5 - 9 4 19 15 8 8 - 2 - 9 - 9 - 2 - 6 17 7 7 12 18 - 9 - 5 - 2 - 9 - 9 14 13 6 6 19 - 9 - 9 - 1 - 5 - 9

S84

Name Date 19 18 17 16 15 - 9 - 9 - 9 - 9 - 9 12 15 5 9 8 - 9 - 9 - 1 - 9 - 0 4 16 2 12 17 - 2 - 9 - 1 - 9 - 9 7 3 18 6 6 - 1 - 3 - 9 - 1 - 5 19 7 11 9 15 - 9 - 5 - 9 - 5 - 9 4 10 16 10 8 - 1 - 5 - 9 - 3 - 5 17 7 10 12 18 - 9 - 1 - 2 - 9 - 9 14 13 6 10 19 - 9 - 9 - 0 - 6 - 9

S85

Name Date 17 16 15 18 19 - 9 - 9 - 9 - 9 - 9 9 17 15 18 16 - 9 - 9 - 9 - 9 - 9 14 13 12 11 7 - 9 - 9 - 9 - 9 - 2 7 9 9 6 6 - 5 - 8 - 1 - 2 - 4 19 7 10 7 15 - 9 - 1 - 9 - 6 - 9 4 10 16 10 8 - 2 - 5 - 9 - 3 - 5 17 10 10 12 18 - 9 - 8 - 2 - 9 - 9 14 13 6 6 19 - 9 - 9 - 5 - 1 - 9

S86

Name Date 17 16 15 18 19 - 9 - 9 - 9 - 9 - 9 9 9 7 7 15 - 8 - 1 - 2 - 5 - 9 14 8 8 11 6 - 9 - 1 - 7 - 9 - 2 6 9 9 5 5 - 4 - 8 - 1 - 2 - 3 19 7 7 15 15 - 9 - 1 - 6 - 6 - 9 4 10 16 10 16 - 2 - 7 - 9 - 3 - 7 18 10 10 12 12 - 9 - 8 - 2 - 3 - 9 14 13 15 14 19 - 9 - 9 - 9 - 9 - 9

S87

Name Date 10 10 15 15 18 - 9 - 1 - 9 - 6 - 9 9 9 7 7 16 - 2 - 7 - 1 - 6 - 9 17 8 8 11 6 - 9 - 1 - 7 - 9 - 4 6 9 9 5 5 - 2 - 8 - 1 - 2 - 3 19 7 7 15 15 - 9 - 1 - 6 - 9 - 6 4 10 16 10 16 - 2 - 7 - 7 - 3 - 9 18 10 10 12 12 - 9 - 8 - 2 - 3 - 9 14 19 14 15 13 - 7 - 9 - 9 - 9 - 9

S88

Name Date 17 170 18 180 16 - 9 - 90 - 9 - 90 - 9 160 15 150 19 190 - 90 - 9 - 90 - 9 - 90 180 150 160 170 19 - 90 - 90 - 90 - 90 - 9 160 18 170 16 150 - 90 - 9 - 90 - 9 - 90 19 190 18 160 15 - 9 - 90 - 9 - 90 - 9 170 16 180 190 150 - 90 - 9 - 90 - 90 - 90 17 18 160 170 180 - 9 - 9 - 90 - 90 - 90 190 15 180 16 170 - 90 - 9 - 90 - 9 - 90

S89

Name Date

NEW FACTS Fact Strategy: Through 10 – Going Up

11 12 13 14 - 8 - 8 - 8 - 8 18 11 15 19 8 - 9 - 8 - 9 - 9 - 5 14 12 8 7 13 - 8 - 8 - 8 - 2 - 8 2 13 11 16 12 - 1 - 9 - 9 - 9 - 9 12 17 9 7 13 - 8 - 9 - 4 - 5 - 8 14 10 14 8 8 - 9 - 5 - 8 - 3 - 5 11 7 7 12 10 - 8 - 6 - 2 - 8 - 3 12 13 6 11 14 - 8 - 8 - 5 - 8 - 8

S90

Name Date 8 14 13 11 11 - 7 - 8 - 8 - 8 - 9 9 12 13 15 8 - 8 - 8 - 9 - 9 - 5 14 11 7 7 12 - 8 - 8 - 7 - 2 - 8 8 13 14 9 7 - 8 - 9 - 8 - 9 - 6 11 12 9 13 14 - 8 - 9 - 4 - 9 - 9 15 10 12 8 8 - 9 - 5 - 8 - 3 - 5 13 16 7 12 10 - 8 - 9 - 2 - 8 - 3 14 12 9 11 13 - 8 - 8 - 9 - 8 - 8

S91

Name Date 12 10 11 13 18 - 8 - 1 - 8 - 8 - 9 9 9 14 17 8 - 1 - 8 - 8 - 9 - 4 12 13 7 7 14 - 8 - 8 - 1 - 6 - 8 18 10 14 15 14 - 9 - 9 - 8 - 9 - 9 11 12 9 13 12 - 8 - 9 - 4 - 9 - 8 15 10 14 8 8 - 9 - 5 - 8 - 2 - 6 13 7 7 12 10 - 8 - 5 - 2 - 8 - 2 10 13 9 11 14 - 8 - 9 - 9 - 8 - 8

S92

Name Date 16 14 11 13 12 - 8 - 8 - 8 - 8 - 9 8 8 18 17 17 - 4 - 7 - 8 - 9 - 8 12 13 7 7 14 - 8 - 8 - 2 - 6 - 8 10 10 14 15 14 - 1 - 5 - 8 - 9 - 9 11 12 9 13 12 - 8 - 9 - 4 - 9 - 8 15 10 14 5 5 - 9 - 5 - 8 - 2 - 3 13 7 7 12 12 - 8 - 1 - 6 - 8 - 4 10 13 14 11 14 - 8 - 9 - 7 - 8 - 8

S93

Name Date 14 9 9 12 18 - 8 - 8 - 1 - 8 - 9 2 16 14 16 8 - 2 - 8 - 7 - 6 - 2 8 12 9 7 13 - 6 - 8 - 9 - 2 - 8 2 13 11 16 12 - 1 - 8 - 9 - 9 - 9 12 17 9 19 14 - 8 - 9 - 4 - 9 - 8 10 10 14 6 6 - 9 - 5 - 8 - 1 - 5 11 7 7 10 10 - 8 - 5 - 2 - 7 - 3 12 13 9 11 14 - 8 - 8 - 2 - 8 - 8

S94

Name Date 12 120 11 110 13 - 8 - 80 - 8 - 80 - 8 130 14 140 13 130 - 80 - 8 - 80 - 8 - 80 12 120 14 140 11 - 8 - 80 - 8 - 80 - 8 110 16 160 15 150 - 80 - 9 - 90 - 9 - 90 11 110 19 190 12 - 8 - 80 - 9 - 90 - 8 120 17 170 14 140 - 80 - 9 - 90 - 9 - 90 13 130 17 170 11 - 8 - 80 - 9 - 90 - 8 110 13 130 14 140 - 80 - 9 - 90 - 8 - 80

S95

Name Date

NEW FACTS Fact Strategy: Through 10 – Going Up

15 16 17 18 - 8 - 8 - 8 - 8 15 11 15 18 8 - 8 - 8 - 9 - 9 - 5 14 16 9 7 13 - 8 - 8 - 9 - 2 - 8 7 13 11 15 12 - 6 - 9 - 9 - 8 - 9 17 17 9 15 13 - 8 - 9 - 4 - 8 - 8 14 10 18 8 8 - 9 - 5 - 8 - 3 - 5 11 7 7 12 10 - 8 - 6 - 2 - 8 - 3 15 16 6 17 18 - 8 - 8 - 5 - 8 - 8

S96

Name Date 18 8 10 6 10 - 8 - 8 - 6 - 6 - 2 2 18 15 18 9 - 2 - 8 - 8 - 9 - 9 16 17 9 9 10 - 8 - 8 - 2 - 7 - 5 11 13 11 16 12 - 9 - 8 - 2 - 8 - 8 12 16 9 18 13 - 4 - 8 - 5 - 9 - 8 14 10 14 8 8 - 9 - 5 - 8 - 3 - 8 16 17 2 18 10 - 8 - 8 - 2 - 8 - 3 15 17 15 7 14 - 8 - 9 - 9 - 7 - 8

S97

Name Date 16 9 8 9 9 - 8 - 8 - 8 - 1 - 9 8 15 5 17 15 - 7 - 8 - 5 - 8 - 9 16 17 9 9 18 - 9 - 9 - 2 - 7 - 9 9 13 18 14 12 - 8 - 8 - 8 - 8 - 8 16 17 9 15 6 - 8 - 8 - 4 - 8 - 6 14 10 14 8 18 - 9 - 5 - 9 - 3 - 9 9 15 2 11 10 - 2 - 8 - 2 - 8 - 3 14 17 16 18 17 - 8 - 9 - 8 - 8 - 8

S98

Name Date 8 17 5 15 15 - 7 - 8 - 5 - 8 - 9 16 14 8 9 9 - 8 - 8 - 8 - 8 - 9 16 17 9 9 18 - 9 - 9 - 2 - 7 - 9 15 17 9 16 6 - 8 - 8 - 4 - 8 - 6 9 13 18 14 12 - 8 - 8 - 8 - 8 - 8 18 17 2 11 10 - 9 - 8 - 2 - 8 - 3 14 10 14 8 16 - 9 - 5 - 9 - 3 - 8 15 17 16 18 17 - 8 - 9 - 8 - 8 - 8

S99

Name Date 16 17 8 15 13 - 8 - 8 - 8 - 8 - 8 9 12 11 10 15 - 9 - 8 - 8 - 8 - 9 16 17 9 9 18 - 9 - 9 - 2 - 7 - 9 8 13 11 14 12 - 7 - 8 - 8 - 8 - 8 16 9 9 9 9 - 8 - 7 - 2 - 1 - 8 14 10 14 8 8 - 9 - 5 - 9 - 7 - 1 16 17 8 8 10 - 8 - 8 - 2 - 6 - 8 15 17 9 11 15 - 8 - 8 - 7 - 8 - 9

S100

Name Date 16 160 18 180 17 - 8 - 80 - 8 - 80 - 8 170 15 150 160 16 - 80 - 8 - 80 - 80 - 8 15 150 11 110 12 - 8 - 80 - 8 - 80 - 8 120 13 130 14 140 - 80 - 8 - 80 - 8 - 80 16 160 19 190 18 - 8 - 80 - 9 - 90 - 8 180 15 150 18 180 - 80 - 8 - 80 - 8 - 80 16 160 17 170 15 - 8 - 80 - 8 - 80 - 8 150 170 160 180 16 - 80 - 80 - 80 - 80 - 8

S101

Hard Subtraction: Through 10 - Going Down Facts

The ten frames help students understand this strategy. It also reinforces the structure of the base ten as a way of thinking about certain subtraction facts.

A Ten Frame for 15 – 7

Start with 15 chips

Take away 5 chips

S102

Demonstrating the Strategy You can use the tens frame to show back down through tens facts. In the example above, you would start with 15. Note that you’ve reached 10. Then take away 2 more chips. Note that you have reached 8. Discuss the difference of 7. 15 – 7 = 8. Point out the pattern that they used 10 to figure out the answer.” Use a number of different facts to communicate the strategy. You can continue to use FACT FAMILY CARDS to reinforce the addition and subtraction fact relationships. General Guidelines Remember, use the first page of the facts set to talk about the strategy. Give students enough time to apply the strategy to the facts. For the remaining pages, use the mastery criterion – at least 35 correct facts out of 40 in two minutes. Duplicate fact sheets if you need to in order to give students enough practice to meet the mastery criterion. Also, look over student sheets to see if particular facts are difficult for students. If so, provide even more practice on these facts.

Take away 2 more chips

S103

Name Date

NEW FACTS Fact Strategy: Through 10 - Going Down

16 15 14 13 12 11 - 7 - 7 - 7 - 7 - 7 - 7 9 16 15 13 8 - 9 - 7 - 7 - 7 - 5 14 12 7 7 13 - 8 - 7 - 6 - 2 - 8 9 13 11 16 12 - 9 - 9 - 7 - 7 - 9 12 17 9 9 13 - 7 - 9 - 4 - 8 - 8 14 10 14 8 8 - 7 - 5 - 8 - 3 - 5 11 7 7 16 10 - 7 - 6 - 2 - 7 - 3 12 13 11 15 14 - 7 - 7 - 7 - 7 - 7

S104

Name Date 11 7 13 8 15 - 7 - 7 - 7 - 7 - 7 9 12 14 11 8 - 9 - 7 - 7 - 7 - 5 14 14 7 7 13 - 8 - 7 - 6 - 2 - 8 8 13 15 16 12 - 7 - 9 - 7 - 7 - 9 12 17 9 9 13 - 7 - 9 - 4 - 9 - 7 14 10 14 8 8 - 7 - 5 - 7 - 3 - 5 11 7 7 16 10 - 7 - 6 - 2 - 7 - 3 7 13 9 15 14 - 7 - 7 - 7 - 7 - 7

S105

Name Date 7 14 8 11 9 - 7 - 7 - 6 - 7 - 7 7 12 13 16 8 - 6 - 7 - 7 - 7 - 5 14 15 9 7 13 - 8 - 7 - 9 - 2 - 7 8 13 15 16 12 - 8 - 9 - 7 - 7 - 9 12 17 9 19 13 - 7 - 9 - 4 - 9 - 7 14 10 15 8 8 - 7 - 5 - 7 - 3 - 5 11 7 7 16 10 - 7 - 6 - 2 - 7 - 3 12 13 6 8 14 - 7 - 7 - 5 - 7 - 7

S106

Name Date 15 7 6 14 11 - 7 - 7 - 5 - 7 - 7 2 16 12 13 6 - 1 - 7 - 7 - 7 - 5 14 14 9 7 13 - 8 - 7 - 9 - 2 - 8 8 13 12 16 12 - 8 - 9 - 7 - 7 - 9 15 17 9 7 13 - 7 - 9 - 4 - 6 - 7 14 10 16 8 6 - 7 - 5 - 7 - 3 - 5 11 7 8 8 10 - 7 - 6 - 1 - 7 - 3 12 13 9 15 8 - 7 - 7 - 7 - 7 - 7

S107

Name Date 11 7 13 8 15 - 7 - 7 - 7 - 7 - 7 2 9 12 14 8 - 1 - 7 - 7 - 7 - 5 14 11 6 7 13 - 8 - 7 - 5 - 2 - 7 4 13 15 16 12 - 3 - 9 - 7 - 7 - 9 12 17 9 9 13 - 7 - 9 - 4 - 9 - 7 14 10 16 8 8 - 7 - 5 - 7 - 3 - 5 11 7 7 15 10 - 7 - 6 - 2 - 7 - 3 12 13 8 9 7 - 7 - 7 - 6 - 7 - 7

S108

Name Date 11 110 12 120 13 - 7 - 70 - 7 - 70 - 7 130 14 140 15 150 - 70 - 7 - 70 - 7 - 70 16 160 14 140 14 - 7 - 70 - 7 - 70 - 7 15 150 15 150 16 - 7 - 70 - 7 - 70 - 7 160 110 120 140 15 - 70 - 70 - 70 - 70 - 7 14 150 130 160 110 - 7 - 70 - 70 - 70 - 70 11 120 13 140 15 - 7 - 70 - 7 - 70 - 7 16 130 14 110 150 - 7 - 70 - 7 - 70 - 70

S109

Name Date

NEW FACTS Fact Strategy: Through 10 - Going Down

16 15 14 13 12 11 - 6 - 6 - 6 - 6 - 6 - 6 12 16 15 13 8 - 6 - 6 - 7 - 6 - 5 14 12 15 7 13 - 6 - 7 - 6 - 2 - 8 11 13 12 16 12 - 6 - 9 - 6 - 7 - 9 12 17 9 9 13 - 7 - 9 - 4 - 9 - 6 14 10 14 8 8 - 6 - 5 - 8 - 3 - 5 15 7 7 16 10 - 6 - 6 - 2 - 6 - 3 12 13 11 15 14 - 6 - 6 - 6 - 7 - 6

S110

Name Date 11 7 13 9 15 - 6 - 6 - 6 - 8 - 6 12 16 14 16 8 - 6 - 7 - 6 - 6 - 5 14 13 12 7 13 - 8 - 6 - 7 - 2 - 8 2 13 14 16 12 - 1 - 9 - 6 - 7 - 9 12 17 9 16 13 - 7 - 9 - 4 - 6 - 8 15 10 11 13 8 - 6 - 5 - 6 - 6 - 5 12 14 7 16 10 - 6 - 6 - 2 - 7 - 3 12 13 11 15 14 - 7 - 7 - 7 - 6 - 6

S111

Name Date 13 3 14 7 12 - 6 - 3 - 6 - 5 - 6 14 7 16 11 9 - 7 - 6 - 6 - 7 - 9 15 9 9 12 8 - 6 - 2 - 7 - 6 - 6 12 11 15 7 7 - 2 - 1 - 6 - 6 - 1 12 15 14 16 13 - 6 - 7 - 6 - 7 - 6 7 9 9 8 8 - 6 - 8 - 1 - 6 - 2 13 14 14 11 15 - 6 - 6 - 7 - 6 - 6 16 9 9 12 14 - 8 - 7 - 2 - 6 - 6

S112

Name Date 7 8 8 7 15 - 6 - 6 - 2 - 1 - 6 12 16 11 12 8 - 7 - 7 - 6 - 6 - 5 14 13 14 7 9 - 8 - 6 - 6 - 2 - 8 15 13 7 16 12 - 6 - 9 - 6 - 7 - 9 12 17 9 9 13 - 7 - 9 - 4 - 9 - 8 16 10 11 8 8 - 6 - 5 - 6 - 6 - 5 12 14 7 16 10 - 6 - 6 - 2 - 7 - 3 12 15 11 13 14 - 7 - 6 - 7 - 6 - 6

S113

Name Date 13 8 14 15 12 - 6 - 7 - 7 - 6 - 6 14 7 11 8 15 - 7 - 6 - 6 - 8 - 9 15 9 9 12 13 - 6 - 2 - 7 - 6 - 6 7 11 15 7 7 - 7 - 7 - 6 - 6 - 1 12 15 8 13 9 - 7 - 6 - 7 - 6 - 8 12 9 9 8 14 - 6 - 8 - 1 - 6 - 6 13 8 14 11 15 - 6 - 2 - 7 - 6 - 6 16 9 9 12 13 - 8 - 7 - 2 - 6 - 6

S114

Name Date 13 130 16 160 14 - 6 - 60 - 6 - 60 - 6 140 11 110 15 150 - 60 - 6 - 60 - 6 - 60 12 120 130 150 13 - 6 - 60 - 60 - 60 - 6 110 160 15 140 16 - 60 - 60 - 6 - 60 - 6 12 120 140 150 130 - 7 - 70 - 70 - 60 - 60 11 110 120 12 160 - 7 - 70 - 60 - 6 - 60 130 140 16 160 15 - 60 - 60 - 7 - 70 - 6 150 130 140 12 110 - 60 - 70 - 60 - 6 - 60

S115

Name Date

NEW FACTS Fact Strategy: Through 10 - Going Down

14 13 12 11 - 5 - 5 - 5 - 5 9 16 14 11 12 - 1 - 7 - 7 - 6 - 5 14 12 9 7 13 - 8 - 7 - 9 - 2 - 8 9 13 11 16 12 - 8 - 5 - 7 - 7 - 5 12 17 9 18 13 - 7 - 9 - 4 - 9 - 8 14 10 11 8 12 - 5 - 5 - 5 - 3 - 5 13 7 7 16 10 - 5 - 6 - 2 - 7 - 3 12 13 9 11 14 - 5 - 7 - 1 - 5 - 5

S116

Name Date 13 14 12 11 12 - 5 - 5 - 5 - 5 - 5 9 16 13 14 11 - 1 - 7 - 5 - 5 - 5 14 12 12 17 13 - 8 - 7 - 6 - 9 - 9 9 13 12 11 14 - 9 - 5 - 5 - 5 - 5 12 17 9 18 13 - 7 - 9 - 4 - 9 - 8 14 10 11 8 12 - 5 - 5 - 5 - 3 - 5 13 7 7 16 10 - 5 - 6 - 2 - 7 - 3 12 13 16 11 14 - 5 - 7 - 7 - 5 - 5

S117

Name Date 13 6 14 7 12 - 5 - 5 - 5 - 6 - 5 8 16 11 12 14 - 1 - 9 - 5 - 7 - 5 14 12 12 17 13 - 8 - 5 - 6 - 9 - 5 9 13 12 11 14 - 9 - 9 - 8 - 5 - 8 12 11 9 9 12 - 7 - 5 - 4 - 9 - 5 14 10 13 8 14 - 5 - 5 - 5 - 3 - 5 13 7 7 12 10 - 5 - 6 - 7 - 5 - 1 12 13 11 11 14 - 9 - 7 - 8 - 5 - 9

S118

Name Date 10 7 14 9 12 - 5 - 6 - 5 - 9 - 5 9 16 13 8 6 - 1 - 7 - 5 - 7 - 5 14 12 9 9 13 - 8 - 7 - 1 - 8 - 9 9 14 12 11 13 - 7 - 5 - 6 - 5 - 5 12 17 9 8 8 - 7 - 9 - 4 - 2 - 7 14 10 6 6 12 - 5 - 5 - 2 - 4 - 5 13 7 7 16 10 - 5 - 6 - 2 - 7 - 3 12 13 14 11 11 - 6 - 7 - 5 - 6 - 5

S119

Name Date 13 14 12 11 7 - 5 - 6 - 7 - 5 - 6 7 16 13 6 11 - 2 - 7 - 5 - 5 - 5 14 12 6 17 13 - 8 - 7 - 1 - 9 - 9 9 9 12 11 14 - 1 - 8 - 5 - 5 - 5 12 17 14 16 13 - 7 - 9 - 7 - 6 - 5 14 10 11 8 12 - 6 - 5 - 7 - 3 - 2 13 7 7 10 10 - 5 - 6 - 2 - 7 - 3 12 13 11 13 14 - 5 - 7 - 5 - 6 - 5

S120

Name Date 13 130 14 140 12 - 5 - 50 - 5 - 50 - 5 120 11 110 11 110 - 50 - 5 - 50 - 6 - 60 12 120 140 130 14 - 6 - 60 - 50 - 50 - 6 140 130 15 150 130 - 60 - 90 - 6 - 60 - 50 12 120 14 140 12 - 7 - 70 - 5 - 50 - 5 120 13 130 18 180 - 50 - 5 - 50 - 9 - 90 11 110 17 170 12 - 5 - 50 - 9 - 90 - 5 120 13 130 14 140 - 50 - 7 - 70 - 5 - 50

S121

Name Date

NEW FACTS Fact Strategy: Through 10 - Going Down

13 12 11 12 11 11 - 4 - 4 - 4 - 3 - 3 - 2 11 13 15 13 8 - 2 - 4 - 7 - 7 - 5 14 12 9 7 13 - 8 - 4 - 9 - 2 - 8 16 13 11 16 12 - 6 - 9 - 4 - 7 - 3 11 17 9 11 13 - 3 - 9 - 4 - 2 - 8 13 10 12 11 8 - 4 - 5 - 4 - 3 - 5 11 7 7 16 11 - 2 - 6 - 2 - 7 - 4 12 13 11 15 11 - 4 - 7 - 3 - 7 - 2

S122

Name Date 12 15 11 11 12 - 4 - 7 - 4 - 3 - 3 2 12 13 13 8 - 1 - 4 - 4 - 7 - 5 14 11 12 7 13 - 8 - 4 - 6 - 2 - 8 12 13 13 16 11 - 5 - 9 - 4 - 7 - 3 11 17 11 11 13 - 3 - 9 - 4 - 2 - 8 13 10 12 12 8 - 4 - 5 - 4 - 3 - 5 11 7 7 16 13 - 2 - 6 - 2 - 7 - 4 12 13 11 15 11 - 4 - 7 - 2 - 9 - 3

S123

Name Date 11 9 11 13 12 - 2 - 9 - 4 - 6 - 7 12 12 7 11 11 - 6 - 3 - 2 - 2 - 3 14 11 13 12 13 - 8 - 4 - 9 - 4 - 4 2 12 11 16 11 - 1 - 3 - 2 - 7 - 4 11 17 12 11 13 - 3 - 9 - 4 - 1 - 4 12 10 11 12 8 - 4 - 5 - 4 - 3 - 5 11 7 7 11 13 - 3 - 6 - 2 - 2 - 4 12 13 11 15 11 - 3 - 7 - 2 - 9 - 4

S124

Name Date 9 9 5 5 6 - 2 - 9 - 4 - 1 - 3 16 12 15 13 8 - 7 - 4 - 7 - 6 - 5 14 13 12 7 14 - 8 - 4 - 6 - 2 - 8 14 13 11 16 11 - 7 - 9 - 4 - 7 - 3 12 17 5 11 9 - 3 - 9 - 4 - 2 - 8 11 10 13 12 8 - 4 - 5 - 4 - 3 - 5 11 7 7 13 13 - 2 - 6 - 2 - 7 - 4 12 16 11 15 11 - 4 - 7 - 2 - 9 - 3

S125

Name Date 11 9 8 13 12 - 2 - 8 - 6 - 4 - 4 12 4 4 9 9 - 6 - 3 - 1 - 2 - 7 14 11 12 7 13 - 7 - 4 - 3 - 2 - 6 8 13 12 16 11 - 8 - 9 - 4 - 7 - 4 11 17 11 11 13 - 3 - 9 - 2 - 7 - 4 12 10 11 12 8 - 4 - 5 - 4 - 6 - 5 6 7 7 11 13 - 3 - 6 - 2 - 2 - 4 12 13 11 15 11 - 3 - 7 - 2 - 9 - 4

S126

Name Date 11 110 11 110 11 - 2 - 20 - 4 - 40 - 3 110 12 120 11 110 - 30 - 3 - 30 - 3 - 30 13 130 12 120 120 - 4 - 40 - 4 - 40 - 30 110 110 110 110 11 - 60 - 50 - 40 - 20 - 4 13 130 12 120 120 - 4 - 40 - 3 - 30 - 40 110 110 150 11 110 - 40 - 20 - 70 - 3 - 30 12 120 11 110 13 - 3 - 30 - 2 - 20 - 4 130 13 130 15 150 - 40 - 7 - 70 - 9 - 90

S127

Hard Subtraction: No Strategy or The Left Over Facts

Only a few facts remain. It is probably best to address these facts through memorization. There are only three facts that remain, so you create a challenge game so that they officially finish the subtraction facts. All of this simply requires focused drill and practice.

S128

Name Date NEW FACTS Fact Strategy: No Strategy – The Left Overs

9 9 7 - 3 - 6 - 4 14 9 2 9 11 - 9 - 3 - 1 - 6 - 9 7 3 9 6 9 - 4 - 2 - 3 - 1 - 6 11 7 13 9 14 - 9 - 4 - 9 - 3 - 9 9 10 7 11 9 - 6 - 5 - 4 - 9 - 3 13 9 14 7 10 - 9 - 6 - 9 - 4 - 3 9 13 9 6 7 - 3 - 9 - 6 - 5 - 4

S129

Name Date 9 9 8 13 7 - 3 - 8 - 6 - 4 - 4 12 9 4 9 9 - 6 - 3 - 1 - 6 - 7 7 11 9 7 9 - 4 - 4 - 3 - 2 - 6 8 7 8 16 9 - 8 - 4 - 6 - 7 - 3 11 9 11 7 13 - 3 - 6 - 2 - 4 - 4 9 10 8 12 7 - 3 - 5 - 2 - 6 - 4 6 9 7 9 13 - 3 - 3 - 2 - 6 - 4 7 13 9 15 9 - 4 - 7 - 3 - 9 - 6

S130

Name Date 9 90 9 900 9 - 6 - 60 - 6 - 600 - 3 90 9 900 7 70 - 30 - 3 - 300 - 4 - 40 7 700 12 120 120 - 4 - 400 - 4 - 40 - 30 110 90 110 90 11 - 60 - 60 - 40 - 30 - 4 70 130 900 120 900 - 40 - 40 - 300 - 30 - 600 110 700 150 9 110 - 40 - 400 - 70 - 3 - 30 9 120 7 70 13 - 6 - 30 - 4 - 40 - 4 130 90 130 90 150 - 40 - 60 - 70 - 30 - 90