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This material is made freely available at www.njctl.org and is intended for the non-commercial use of students and teachers. These materials may not be used for any commercial purpose without the written permission of the owners. NJCTL maintains its website for the convenience of teachers who wish to make their work available to other teachers, participate in a virtual professional learning community, and/or provide access to course materials to parents, students and others. Click to go to website: www.njctl.org New Jersey Center for Teaching and Learning Progressive Mathematics Initiative
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1st Grade Subtraction to 20 www.njctl.org 2012-07-05
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Setting the PowerPoint View Use Normal View for the Interactive Elements To use the interactive elements in this presentation, do not select the Slide Show view. Instead, select Normal view and follow these steps to set the view as large as possible: On the View menu, select Normal. Close the Slides tab on the left. In the upper right corner next to the Help button, click the ^ to minimize the ribbon at the top of the screen. On the View menu, confirm that Ruler is deselected. On the View tab, click Fit to Window. Use Slide Show View to Administer Assessment Items To administer the numbered assessment items in this presentation, use the Slide Show view. (See Slide 23 for an example.)
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Table of Contents click on the topic to go to that section - Subtraction Models with Cubes - Real World Subtraction with Counters - Subtraction Sentences - Subtraction on a Number Line - Subtraction on a Number Grid - Number Stories - Subtracting Zero - Subtracting One - Subtracting Ten - Patterns when Subtracting Ten - Subtracting All - Fact Families - Fact Triangles - Missing Number Part 2 - Missing Number - Get to Ten
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Real World Subtraction with Counters Click to return to Table of Contents
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When we subtract, we find the difference between two numbers.
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Four turkeys are on the fence. Two fly away. How many turkeys left?
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Jen has six potatoes on her plate. Three potatoes roll off. How many potatoes are left?
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We can use counters to help us solve subtraction problems. 8 apple pies 2 pies are eaten ______ pies left
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Let's Practice 10 balloons 5 blow away ______ balloons are left
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Let's Practice 3 leaves on a tree 3 leaves fall off ______ leaves left
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Let's Practice 6 take away 1 _____ left
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Let's Practice 8 take away 3_____ left
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Let's Practice 9 take away 5left _____
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Subtraction Models with Cubes Click to return to Table of Contents
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6 dogs 3 ran away How many dogs are left?
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Let's show it with counters 6 3 ________ dogs ran away dogs left
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We can also use connecting cubes to help us subtract. Each cube represents an object. To show subtraction, remove the amount taken away. 2 1 ______ blue birds flies away birds left
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Use connecting cubes to help you solve these problems. 8 flies, a frog eats 2. How many flies left? 5 cars, 3 drive away. How many cars left? 7 cookies, Pam eats 4. How many cookies left?
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We can draw squares to represent connecting cubes as well. 4 crows 4 fly away _______ crows left
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5 apples 3 are rotten _____ apples left 7 rakes 2 break _____ rakes left
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11 turkeys 4 hide in a tree _____ turkeys left 8 leaves on a tree 6 fall off _____ leaves left
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1 7 dogs are outside and 3 run away. There are 10 dogs in all. Yes No
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2 3 cats and 3 run away. _____ cats left. A 5 B 6 C 0
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3 4 rakes and 2 break. _____ rakes left. A 2 B 6 C 8
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4 3 pumpkins and 2 roll away ____ pumpkins left.
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5 8 hats and 4 blow away. _____ hats left.
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Subtraction Sentences Click to return to Table of Contents
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3 - 2 = 1= 1
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9 - 5 4
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6 = 5
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2 - 2 0
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9 - 3 = 6
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8 - 2 6
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6 Which subtraction sentence matches this story: Six kids are playing. Four kids go home. Now there are two kids left. A 6 – 2 = 4 B 6 – 4 = 10 C 6 – 4 = 2
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7 Which subtraction sentence matches this story: Five pumpkins are on the table. The farmer sells two. There are three pumpkins left. A 5 – 3 = 2 B 5 – 2 = 3 C 5 – 2 = 7
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8 Which subtraction sentence matches this story: Six balloons are tied on the fence. Five pop. 1 Balloon is left. A 6 – 5 = 1 B 6 – 1 = 5 C 6 – 5 = 2
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9 Which subtraction sentence matches this story: Ten chickens are at the farm. Four fly away. How many chickens are left? A 10 – 6 = 4 B 10 – 4 = 6 C 10 – 4 = 5
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10 Which subtraction sentence matches this story: Thirteen pieces of candy are on the table. Jen eats 5 pieces. There are 8 pieces left. A 13 – 8 = 5 B 13 – 5 = 7 C 13 – 5 = 8
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Number Stories Click to return to Table of Contents
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10 - 7 =
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9 - 1
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6 - 3
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6 - 4 =
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4 - 0 =
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7 - 2
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2 - 1
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7 - 7 =
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11 7 - 0 = 0 Yes No
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12 4 - 2 = ___ A 2 B 6 C 1
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1312 - 1 = ___ A 11 B 13 C 121
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14 8 - 5 = ____
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157 - 5 = ____
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Subtraction on a Number Line Click to return to Table of Contents
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We can use a number line to find the difference between two numbers (subtract). 5 - 3 = _____ The first number in the subtraction sentence tells us where to start. The second number tells us how many jumps to take back. The difference (answer) of the two numbers is where we end. Starting number Number of jumps Where did you end?
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Sometimes it helps to circle the first number to help us remember where to start. 5 - 3 = _____ Don't forget to start counting after you jump!! 1 2 3
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What number should we circle? How many jumps will we take? Where did we land? 9 - 4 = _____
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What number should we circle? How many jumps will we take? Where did we land? 11 - 8 = _____
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16 6 - 1 = 7 Yes No
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17 5 - 3 = 2 Yes No
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18 3 - 3 = ____ A 6 B 1 C 0
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1917 - 2 = _____
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2016 - 7 =
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Click to return to Table of Contents Subtraction on a Number Grid
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We can use a number grid to help us subtract larger numbers
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The first number in the subtraction sentence tell us where to start. The second number tells us how many jumps to take back. The difference between the two numbers (answer) is where we end. 12 - 7 = ____
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19 - 6 = ____ 6 5 4 3 2 1
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Look at the subtraction sentence. Where will we start on the number grid? How many jumps will we take? 14 - 3 = ____ ** Just like on a number line, don't count until you jump **
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14 - 4 = ____ What should we do when we get to the last number in a row?
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17 - 8 = ____
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20 - 5 = ____
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7 - 6 = ____
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21 11 - 6 = 5 True False
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22 6 – 4 = A 1 B 2 C 10
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23 7 - 7 = A 0 B 14 C 1
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24 18 - 9 =
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2513 - 8 =
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Click to return to Table of Contents Subtracting Zero
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Amy had 8 pieces of candy. She decides to eat 0 pieces. How many pieces of candy are left?
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Let's work through it! What do we need to find out? What information do we know? How can we show this problem with cubes?
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Any time we subtract zero from a number, the answer is the same as the first number. 4 - 0 = 4 13 - 0 = 13 18 - 0 = 18
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How would we show taking away zero with counter? 6 - 0 =
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How would we show subtracting zero with cubes? 9 - 0 =
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Remember since we are not taking away any cubes or counters, the answer is the same as the first number. 13 - 0 = 13
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19 - 0 = ______ 11 - 0 = ______ 6 - 0 = ______ 8 - 0 = ______ 14 - 0 = ______ Find the difference
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269 - 0 = 9 True False
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27 4 - 0 = ______ A 40 B 4 C 0
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28 6 - 0 = ____
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29 10 - 0 = _____
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3017 - 0 = _____
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Click to return to Table of Contents Subtracting All
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When the starting number and the number taken away are the same, you are subtracting all. 17 - 17 = 0 9 - 9 = 0 Same
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When subtracting all, the difference is always 0. 6 - 6 = 0 12 - 12 = 0
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8 - 8 = _____ Cover the counters to show how many you will take away.
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12 - 12 = ___ Cover the counters to show how many you will take away.
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17 - 17 = ___ Cover the counters to show how many you will take away.
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2 - 2 = ___ Cover the counters to show how many you will take away.
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5 - 5 = ___
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14 - 14 = ____
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11 - 11 = ____
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16 - 16 = ____
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3112 - 12 = _____
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324 - 4 = _____
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337 - 7 = _____
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Subtract Zero - or - Subtract All Fill in more examples in the chart. Subtract Zero Subtract All 7 - 0 = 7 16 - 16 = 0 12 - 0 =12 6 - 6 = 0
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Click to return to Table of Contents Subtracting One
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When we subtract one, we count back one number. 4 - 1 = 3 3 is one less than 4
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Try to picture a number line in your head. Find the first number, then take just one jump back. 4 - 1 = 3 Three is one less than four
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Try to picture a number line in your head. 7 - 1 = __ What number will you start at? How many jumps will you take?
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5 - 1 = 12 - 1 = Let's Practice ___
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We can use cubes to help us subtract one. To show - 1, take away one cube. 3 - 1 =
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Your mom gave you five cookies. Then she took one away. How many are left? 5 - 1 =
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You picked 9 flowers. You gave one away. How many are left? 9 - 1 =
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Your sister has 12 crayons. She gave one away to you. How many are left? 12 - 1 =
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34 14 - 1 =
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35 17 - 1 =
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364 - 1 =
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3718 - 1 =
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385 - 1 =
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Click to return to Table of Contents Subtracting Ten
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Subtracting 10 is very easy when using a number grid. Find the first number on the number grid and move up one box.
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14 - 10 = 4
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16 - 10 = Let's Practice Finding the Difference
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12 - 10 = Let's Practice Finding the Difference What number would you circle?
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18 - 10 = Let's Practice Finding the Difference What number would you circle?
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10 - 10 = Let's Practice Finding the Difference What number would you circle?
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39Does 15 - 10 = 5 Yes No
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40 19 - 10 = 19 True False
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4118 - 10 = A 18 B 81 C 8
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42 16 - 10 =
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43 14 - 10 =
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Click to return to Table of Contents Patterns when Subtracting Ten
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16 - 10 When subtracting 10 from a "teen", the tens place is always 0 and the ones place stays the same. 1 went down one number to 0 06
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12 - 10 2 14 - 10 4 19 - 10 9 17 - 10 7
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Let's Practice _____ 15 - 10 = 16 - 10 = 18 - 10 = 11 - 10 =
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4414 - 10 = 4 Yes No
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45 16 - 10 = ____ A 6 B 16 C 61
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4612 - 10 = 3 True False
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47 13 - 10 = ____
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4818 - 10 = ____
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Click to return to Table of Contents Fact Families
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A fact family is made up of three numbers. Just like in a real family, the numbers are related. We can use the three numbers to make 4 different number sentences (2 addition and 2 subtraction).
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A fact family is like a family of bears. There is a daddy bear, a mommy bear, and a baby bear. 9, 7, 2 There is the biggest number like the daddy bear. There is the middle number like the mommy bear. And there is the smallest number like the baby bear. 9 7 2
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9 - 2 = 7 9 - 7 = 2 This is what a fact family looks like 2 + 7 = 9 7 + 2 = 9 9, 7, 2
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The number sentences can only be made with the numbers in the fact family. 9, 7, 2 2 + 7 = 9 7 + 2 = 9 9 – 2 = 7 9 – 7 = 2
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When making addition sentences the daddy number is always the sum. The two addition sentences are also turn around facts. 2 + 7 = 9 7 + 2 = 9
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When making subtraction sentences the daddy number is always first since we cannot subtract a bigger number from a smaller number. 9 – 2 = 7 9 – 7 = 2
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9, 10, 1
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12, 4, 8
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16, 7, 9
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5, 2, 7
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49 Which addition sentence belongs to this fact family? 6, 7, 1 A 6 + 2 = 8 B 6 + 1 = 7
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50Which subtraction sentence belongs to this fact family? 4 + 1 = 5 1 + 4 = 5 5 - 4 = 1 ? A 5 – 1 = 4 B 5 – 1 = 3 C 4 – 1 = 5
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51 8 + 7 = 15 ? 15 - 7 = 8 15 - 8 = 7 Which addition sentence belongs to this fact family? A 7 + 7 = 15 B 7 + 8 = 15 C 15 + 7 = 8
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52 Which subtraction sentence belongs to this fact family? 9, 7, 2 A 9 – 2 = 7 B 7 – 2 = 9 C 2 – 9 = 7
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53 Which number is missing from this family? 12, 4, ____ A 5 B 7 C 8
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Click to return to Table of Contents Fact Families with Dominoes
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How many dots are there on the left? How many dots are there on the right? How many dots in all?,,
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How many dots are there on the left? How many dots are there on the right? How many dots in all?,,
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Each domino can represent three different numbers. We can use these three numbers to write fact families. 5, 6, 11 5 + 6 = 11 6 + 5 = 11 11 - 5 = 6 11 - 6 = 5
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Numbers: _______, _______, _______ Fact Family: ____ + ____ = ____ ____ - ____ = ____
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Numbers: _______, _______, _______ Fact Family: ____ + ____ = ____ ____ - ____ = ____
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Numbers: _______, _______, _______ Fact Family: ____ + ____ = ____ ____ - ____ = ____
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Numbers: _______, _______, _______ Fact Family: ____ + ____ = ____ ____ - ____ = ____
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Numbers: _______, _______, _______ Fact Family: ____ + ____ = ____ ____ - ____ = ____
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Fact Family Domino Grab - Pick one domino from the pile. - Work with your partner to fill out the fact family chart. - Continue until your sheet is complete.
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54 Which addition sentence belongs to this family? A 4 + 2 = 6 B 4 + 6 = 10 C 2 + 6 = 4
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55 Which subtraction sentence belongs to this family? A 3 – 2 = 5 B 5 – 3 = 2 C 2 – 3 = 1
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56Which other number belongs to this fact family? ____, 1, 6
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57Which other number belongs to this fact family? 6, 2, ___
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58 Which other number belongs to this fact family? 5, ___, 9
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Click to return to Table of Contents Fact Triangles
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Click for fact triangles web site
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+, - 10 6 4 This is called a fact triangle Fact triangles helps us practice fact families
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Subtract 6 from 10 10 - 6 = 4 Subtract 4 from 10 10 - 4 = 6 Add them together 6 + 4 = 10 4 + 6 = 10 +, - 10 6 4 How can we use the other two numbers to get to 10? How can we use the other two numbers to get to 6? How can we use the other two numbers to get to 4?
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+, - 5 2 7 How can we get to 7? ______ + ______ = ______ How can we get to 5? ______ - ______ = ______ How can we get to 2? ______ - ______ = ______ What does the dot on a fact triangle tell us?
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+, - 3 1 4 How can we get to 4? ______ + ______ = ______ How can we get to 3? ______ - ______ = ______ How can we get to 1? ______ - ______ = ______
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+, - 6 9 15 How can we get to 15? ______ + ______ = ______ How can we get to 6? ______ - ______ = ______ How can we get to 9? ______ - ______ = ______
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Get to the Covered Number +, - 9 4 13 Use the star to cover one number. Then have your partner write one fact on their slate that has the covered number as the answer. _______ ________ = ________
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Let's try it again! +, - 12 5 17 _______ ________ = ________
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59 What addition facts goes with this fact triangle? 3 5 +, - 2 A 2 + 3 = 5 B 5 + 3 = 2 C 5 + 2 = 3
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60 What subtraction facts goes with this fact triangle? A 6 – 1 = 1 B 11 – 5 = 6 C 5 + 6 = 11
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61 What number is missing? 4 12 +, - ? A 3 B 8 C 2
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62 What number is missing? 31 +, - ?
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63 What number is missing? 6 8 +, - ?
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Click to return to Table of Contents Missing Number
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There are times when a subtraction sentence will be missing the second number. 6 - ___ = 4 Remember that the numbers on each side of the = must equal the same amount. So since 4 is on the right we need to find out what we can take away from 6 on the left to get to 4.
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6 - ___ = 4 To find the missing number put the answer in your head and count up on your fingers to the other given number. 4 5 6 Stop at 6 since the other given number is 6 6 - ___ = 4 Since we put up two fingers to get to 6, the missing number is 2 2
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12 - ___ = 8 What number should we put in our head? What number should we count up to? 8
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14 - ___ = 9 What number should we put in our head? What number should we count up to? 9
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16 - ___ = 9 What number should we put in our head? What number should we count up to? 9 click
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12 - ___ = 4 What number should we put in our head? What number should we count up to? 4
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8 - ____ = 2 What number should we put in our head? What number should we count up to? 2
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13 - ___ = 9 What number should we put in our head? What number should we count up to? 9
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Let's Practice 9 – ___ = 8 11 – ___ = 9 12 – ___ = 6 13 – ___ = 10 12 – ___ = 7
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64 10 - _____ = 8 A 2 B 10 C 3
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65 9 - ___ = 3 A 2 B 5 C 6
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6617 - ___ = 12
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67 14 - ____ = 7
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68 8 - ___ = 8
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Click to return to Table of Contents Missing Number Part 2
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There are times when a subtraction sentence will be missing the first number. ____ - 6 = 9 To find the missing first number, we need to add the difference (answer) and the other given number. +
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_____ - 6 = 9 Put the bigger number in your head and the other number on your fingers. Then start at the bigger number and count up on your fingers. 9 10 Stop at 15 since there are no more fingers to count Since we stopped counting at 15, the missing number is 15 _____ - 6 = 9 15 11 12 13 14 15
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____ - 3 = 4 What number should we put in our head? How many fingers should we put up? 4
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____ - 5 = 11 What number should we put in our head? How many fingers should we put up? 11
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____ - 9 = 4 What number should we put in our head? How many fingers should we put up? 9
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____ - 8 = 2 What number should we put in our head? How many fingers should we put up? 8
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____ - 12 = 8 What number should we put in our head? How many fingers should we put up? 12
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Fill in the Missing Number _____ - 8 = 9 _____ - 3 = 3 _____ - 7 = 2 _____ - 1 = 4 _____ - 12 =7 _____ - 7 = 5 _____ - 9 = 6 _____ - 0 = 2
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69 What is the missing number? ____ - 4 = 6 A 11 B 10 C 9
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70 What is the missing number? ____ - 8 = 8 A 16 B 5 C 18
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71 What is the missing number? ____ - 4 = 5
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72What is the missing number? ____ - 3 = 8
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73 What is the missing number? ____ - 3 = 3
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Click to return to Table of Contents Get to Ten
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Sometimes we may need to break apart a number into 2 smaller numbers to help solve a subtraction sentence. One way to break apart a number is to figure out what we can take away from the first number to make 10.
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12 - 4 = ___ B A
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16 - 7 = ___ B A
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15 - 8 = ___ B A
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14 - 5 = ? What can we take away from 14 to make 10? 4 – 1 = 14 -
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12- 3 = ? What can we take away from 12 to make 10? 2 – 1 This is what you Are thinking in Your head = 12 - 3
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17- 9 = ? What can we take away from 17 to make 10? 7 – 2 This is what you Are thinking in your head = 17 - 9
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13- 7 = ? What can we take away from 13 to make 10? 3 – 4 this is what you Are thinking in Your head = 13 - 7
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15- 9 = ? What can we take away from 15 to make 10? 5 – 4 This is what you Are thinking in Your head =15 -9
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74 What sentence shows a breakdown of: 11 - 2 = 9 A 11 – 1 – 1 = 9 B 11 – 3 – 2 = 9 C 11 – 2 – 1 = 9
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75 What sentence shows a breakdown of: 13 - 5 = 8 A 13 – 3 – 1 = 8 B 13 – 3 – 2 = 8 C 13 – 2 – 1 = 8
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76 What sentence shows a breakdown of: 15 - 6 = 9 A 15 – 5 – 0 = 9 B 15 – 5 – 2 = 9 C 15 – 5 – 1 = 9
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14 - 6 =77
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16 - 9 = 78
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