Whole Number Addition Worksheet Part 1 • Class Modeling
Introducing the US Algorithm
Lining Up Place Values to Add Without Regrouping
Name:
Date:
Example 1: Solve using the place value chart. Check your work with the algorithm.171 + 128
H
T
O
Check:
Step-by-Step Model: 1. Draw circles on your place value chart to show both numbers. 2. Count each column starting from the Ones (O) column. 3. Complete your algorithm in the blank Check workspace below!
Focus Standard: US Standard Algorithm Addition Intro Page 1 of 5
Part 2 • Class Guided Practice
Expanding to Larger Totals
Practice Sheet
Example 2: Solve using the place value chart. Check your work with the algorithm.515 + 234
H
T
O
Check:
Math Talk: Turn to your math partner. Read the sum of the digits in the Tens column. Does the total exceed 9? Why is that important?
Keeping our workspace neat prevents math alignment errors! Page 2 of 5
Independent Practice • Part 1
Your Turn to Build Alignment
Independent Pack
Directions: Solve the problems below. First, draw place value disks to represent each number. Then, write and solve the problem vertically in the empty check area!
1. Solve: \( 201 + 98 \) No Regrouping
Hundreds
Tens
Ones
Check:
2. Solve: \( 981 + 18 \) No Regrouping
Hundreds
Tens
Ones
Check:
Always start adding from the Ones column! Page 3 of 5
Independent Practice • Part 2
Keeping Columns Organized
Extra Space
3. Solve: \( 222 + 147 \) No Regrouping
Hundreds
Tens
Ones
Check:
4. Solve: \( 582 + 17 \) Align Carefully!
Hundreds
Tens
Ones
Check:
Be tidy with disk drawings to avoid counting mistakes! Page 4 of 5
Level Up • Standard Algorithm Only
Alignment Worksheets (No Place Value Charts)
Alignment Mastery
Your Goal: Solve these problems using the standard algorithm only. Rewrite each problem vertically and line up your columns!
5. Solve: \( 34 + 152 \) Check Alignment
6. Solve: \( 444 + 455 \)
7. Solve: \( 620 + 259 \)
8. Solve: \( 103 + 872 \)
Alignment Journal Connection
When adding \( 582 + 17 \), why is it important to align the 1 with the 8 instead of the 5? Use place value terms like Hundreds, Tens, and Ones in your explanation.
Excellent work! You are ready for the Exit Ticket. Page 5 of 5
Whole Number Addition Exit Ticket Exit Ticket • Formative Assessment
Whole Number Addition Alignment
Show what you know about place value columns and standard alignment!
Name:
Date:
Part A: Model and Check
1. Solve: \( 981 + 18 \)
H
T
O
Check:
Part B: Independent Alignment
2. Solve: \( 420 + 29 \)
3. Solve: \( 85 + 14 \)
Self-Assessment Checklist
I lined up my Ones and Tens.
I checked my PV chart drawings.
I solved each place column.
Exit Ticket • 3-Digit Whole Numbers • No Regrouping
Whole Number Addition Teacher Guide Teacher Resources • Answer Key & Guide
Whole Number Addition Alignment
Facilitation Guide & Complete Answer Keys (No Regrouping)
Teaching Column Alignment Without Regrouping
The primary learning target of this lesson is establishing robust digit-alignment habits . By learning addition without regrouping, students can focus 100% of their cognitive load on keeping Hundreds, Tens, and Ones organized. Standard grid systems prevent "column drift," which is the leading cause of multi-digit arithmetic errors.
Misconception: Left-Alignment
When adding a 2-digit number to a 3-digit number (e.g., \( 582 + 17 \)), students frequently align the 1 in 17 under the 5 in 582 (the Hundreds column).Intervention: Have students read both numbers aloud by place value ("5 Hundreds, 8 Tens, 2 Ones" and "1 Ten, 7 Ones") to see why the 1 must align with the 8.
Disk-to-Algorithm Bind
Ensure students draw the disks for the first addend, then the second addend beneath them. Once drawn, have them count the total disks in each column from right to left (Ones, then Tens, then Hundreds) to connect the concrete model with the algorithm steps.
Recommended Lesson Pacing (60 Minutes)
10 MIN
Warm-Up
Value of digits based on their column
15 MIN
Direct Model
Model Examples 1 & 2 together
25 MIN
Student Pack
Independent Problems 1-8
10 MIN
Exit Ticket
Assess column-alignment precision
Guided Practice Answer Keys
EXAMPLE 1 Answer: 299
Disks: Draw 1 disk in H, 7 disks in T, 1 disk in O. Draw 1 disk in H, 2 disks in T, 8 disks in O. Total the disks in each column: H = 2, T = 9, O = 9. Total is 299.
EXAMPLE 2 Answer: 749
Disks: Draw 5 disks in H, 1 disk in T, 5 disks in O. Below, draw 2 disks in H, 3 disks in T, 4 disks in O. Total the disks in each column: H = 7, T = 4, O = 9. Total is 749.
3-Digit Whole Numbers • US Algorithm: Addition Alignment Page 1 of 2
Teacher Resources • Answer Key
Completed Problem Key (1 - 8 & Assessments)
CONFIDENTIAL
Independent Practice (with PV Charts)
Problem 1
\( 201 + 98 \)
299
No regrouping
Problem 2
\( 981 + 18 \)
999
No regrouping
Problem 3
\( 222 + 147 \)
Whole Number Addition Homework Independent Work • Daily Homework
Whole Number Addition Homework
Practice lining up place values to add without regrouping at home!
Name:
Date:
1. Solve: \( 152 + 34 \) No Regrouping
H
T
O
Check:
2. Solve: \( 444 + 455 \) No Regrouping
H
T
O
Check:
Homework Tip:
Remember to draw your dots carefully and line up your vertical columns in the check space. Ones go with Ones, Tens with Tens, and Hundreds with Hundreds!
Homework • 3-Digit Whole Numbers • US Algorithm Intro
