Vertical Addition

Vertical Addition: 

Vertical Addition The first time the KCAS call for adding and subtracting with the standard algorithm is the fourth grade. Prior to the fourth grade students should be learning to add and subtract with a variety of strategies that builds on conceptual understanding of place value, the properties of operations and/or the relationship between addition and subtraction. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Vertical Addition: 

Vertical Addition We are obligated to follow the KCAS, rather than strictly follow whatever curriculum that we may be using, in our case, Math-in-Focus. Vertical addition is the logical progression for addition that bridges between the earlier strategies that make use of place value and the standard algorithm that our students will learn in the fourth grade. (If we teach vertical addition at third grade, our students will be more than ready for the traditional algorithm when they reach fourth grade.)

Vertical Addition: 

Vertical Addition Vertical addition is an easier strategy to use for three and four digit problems. The goal is to pay attention to place value. The beauty of this strategy is that students can start with any place value and work in any order, finding the partial sums of the ones, tens, hundreds and thousands before finding the final sum. It is generally simpler, however, to begin with the largest value so that students can line up the numbers more easily.

Vertical Addition: 

Vertical Addition Students who are struggling may want or need to use place value strips as they learn this strategy. As the teacher we should coach the students to expand the numbers and use the strips to help themselves pay attention to the place value of each digit. Encourage the students to continue to make connections between the various strategies they have learned.

Vertical Addition: 

Vertical Addition Throughout the remainder of this presentation I will present the practice problem on the left hand side with the guided conversation on the right. Practice Problem Guided Conversation

Vertical Addition: 

Vertical Addition Step One: Write the addition expression vertically. 16 +29 Step One: Wait until you see the strategy I’m going to show you today. I am hoping you will make a connection to another strategy we have used. Be ready to share what your connection is and why you think this method is connected to the one you’re thinking about. I’ll start by writing an addition problem vertically. What does it say? 16 + 29 equals what?

Vertical Addition: 

Vertical Addition Step Two: Add the tens and record the tens total below the line. 16 +29 30 Step Two: First, I’m going to add the tens. Let’s see. There’s 1 ten, which equals 10, and 2 tens, which equals 20. The total of 10 and 20 is 30. I’m going to write 30 underneath the line. I know how to add 10 + 20 mentally, but if I didn’t, I could write it to the side. I did not write 1 + 2 = 3. Why not? That’s right; because the 1 and the 2 are in the tens place.

Vertical Addition: 

Vertical Addition Step 3: Add the ones and record the ones total below the tens total. 16 +29 30 15 Step 3: Next, I’m going to add the ones. I see 6 and 9. So we need to add 6 + 9. What does it equal? Yes, 15. How did you figure out 6 + 9? You could have made a 10 so that the problem turned into 5 + 10. Or you could have knew that 6 + 10 was 16, so 6 + 9 would be 1 less which is 15. Now I am going to write 15 below the 30.

Vertical Addition: 

Vertical Addition Step Four: Find the sum. 16 +29 30 +15 45 Step Four: Last, I need to find the sum of 30 and 15. It’s 45. I figured that our mentally. I knew 30 + 10 = 40, and then I just added 5 more to get 45.

Building On: 

Building On Vertical addition is a great way to stretch place value concepts to many levels, including addition of three-digit and four-digit numbers. After using vertical addition with two-digit numbers, challenge kids to try to use it with three-digit numbers. Students who truly understand place value concepts will be able to make this application with no problem. Ask your kids how they knew what to do and listen to their explanations. It will give you great insight into their conceptual understanding.

Building On: 

Building On 459 +927 1,300 70 + 16 1,386 2,271 +3,499 5,000 600 160 + 10 5,770

Building On and On: 

Building On and On Vertical addition works for equations involving decimals too. 9.5 +8.7 17.0 + 1.2 18.2 Vertical addition works for equations involving money. $3.79 + $6.28 $9.00 $ .90 + $ .17 $10.07