Foundational Steps Worksheet Level 3 • High Support Operation Practice
Foundational Steps Worksheet
Name:
Date:
Rule: Keep digits lined up by place value. Start in the Ones column on the right!
Goal: 70% Accuracy
Part 1: Multi-Digit Addition (Regrouping Support)
Add ones → tens → hundreds → thousands
Problem 1 Regroup above when sum ≥ 10
Problem 2 Regroup above when sum ≥ 10
−
Part 2: Multi-Digit Subtraction (Borrowing Support)
More on top? No need to stop! More on the floor? Go next door!
Problem 3 Cross out & write new number
Problem 4 Watch the zero in hundreds!
Turn over for Multiplication & Division → Page 1 of 2
Level 3
Foundational Steps Worksheet • Page 2
Multiplication & Division Operations
×
Part 3: 2-Digit × 2-Digit Multiplication (Step Scaffold)
Remember the placeholder zero (0) in row 2!
Problem 5 43 × 26
<table class="border-collapse font-mono text-base font-semibold"><tbody><tr class="h-7 text-right"><td class="w-24"></td><td class="w-8 text-center border border-slate-300 bg-white">4</td><td class="w-8 text-center border border-slate-300 bg-white">3</td></tr><tr class="h-7 text-right border-b-2 border-slate-800"><td class="text-purple-600 text-sm font-bold text-left pl-1">× 26</td><td class="w-8 text-center border border-slate-300 bg-white">2</td><td class="w-8 text-center border border-slate-300 bg-white">6</td></tr><tr class="h-7 text-xs"><td class="text-purple-800 font-sans font-medium text-[11px]">43 × 6 ones →</td><td class="border border-slate-300 bg-white"></td><td class="border border-slate-300 bg-white"></td></tr><tr class="h-7 text-xs border-b-2 border-slate-800"><td class="text-purple-800 font-sans font-medium text-[11px]">43 × 2 tens →</td><td class="border border-slate-300 bg-white"></td><td class="border border-slate-300 bg-amber-100 text-center font-bold text-amber-800">0</td></tr><tr class="h-8"><td class="text-slate-500 font-sans font-bold text-xs">Final Sum:</td><td colspan="2" class="border-2 border-slate-400 bg-white"></td></tr></tbody></table>
Problem 6 58 × 34
<table class="border-collapse font-mono text-base font-semibold"><tbody><tr class="h-7 text-right"><td class="w-24"></td><td class="w-8 text-center border border-slate-300 bg-white">5</td><td class="w-8 text-center border border-slate-300 bg-white">8</td></tr><tr class="h-7 text-right border-b-2 border-slate-800"><td class="text-purple-600 text-sm font-bold text-left pl-1">× 34</td><td class="w-8 text-center border border-slate-300 bg-white">3</td><td class="w-8 text-center border border-slate-300 bg-white">4</td></tr><tr class="h-7 text-xs"><td class="text-purple-800 font-sans font-medium text-[11px]">58 × 4 ones →</td><td class="border border-slate-300 bg-white"></td><td class="border border-slate-300 bg-white"></td></tr><tr class="h-7 text-xs border-b-2 border-slate-800"><td class="text-purple-800 font-sans font-medium text-[11px]">58 × 3 tens →</td><td class="border border-slate-300 bg-white"></td><td class="border border-slate-300 bg-amber-100 text-center font-bold text-amber-800">0</td></tr><tr class="h-8"><td class="text-slate-500 font-sans font-bold text-xs">Final Sum:</td><td colspan="2" class="border-2 border-slate-400 bg-white"></td></tr></tbody></table>
÷
Part 4: Long Division with Checklist (D-M-S-B)
Divide • Multiply • Subtract • Bring Down
Problem 7 438 ÷ 3
Quotient above:
3 )
4 3 8
Step Routine
D Divide
M Multiply
S Subtract
B Bring down
Repeat until done!
Problem 8 1,452 ÷ 4
Quotient above:
4 )
1 4 5 2
Step Routine
D Divide
M Multiply
S Subtract
B Bring down
Remainder: R __
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Page 2 of 2
Guided Support Worksheet Level 2 • Guided Practice Operation Practice
Guided Support Worksheet
Name:
Date:
Use the light vertical grid lines to keep place values in proper columns. Estimate first to check reasonableness!
Goal: 70% Accuracy
Multi-Digit Addition (With Regrouping)
Line up ones, tens, hundreds, thousands
Problem 1
Estimate: ~ _______
<table class="border-collapse text-center font-mono text-lg font-bold"><tbody><tr class="h-6 text-xs text-slate-400"><td class="w-8"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td></tr><tr class="h-8"><td></td><td class="border-r border-slate-200">6</td><td class="border-r border-slate-200">3</td><td class="border-r border-slate-200">7</td><td>4</td></tr><tr class="h-8 border-b-2 border-slate-900"><td class="text-emerald-600 font-sans font-black pr-1">+</td><td class="border-r border-slate-200">2</td><td class="border-r border-slate-200">8</td><td class="border-r border-slate-200">5</td><td>9</td></tr><tr class="h-10 bg-slate-50/50"><td></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td></td></tr></tbody></table>
Final sum in box above
Problem 2
Estimate: ~ _______
<table class="border-collapse text-center font-mono text-lg font-bold"><tbody><tr class="h-6 text-xs text-slate-400"><td class="w-8"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td></tr><tr class="h-8"><td></td><td class="border-r border-slate-200">1</td><td class="border-r border-slate-200">4</td><td class="border-r border-slate-200">2</td><td class="border-r border-slate-200">8</td><td>6</td></tr><tr class="h-8 border-b-2 border-slate-900"><td class="text-emerald-600 font-sans font-black pr-1">+</td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200">8</td><td class="border-r border-slate-200">9</td><td class="border-r border-slate-200">4</td><td>7</td></tr><tr class="h-10 bg-slate-50/50"><td></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td></td></tr></tbody></table>
Final sum in box above
−
Multi-Digit Subtraction (Across Zeros & Regrouping)
<table class="border-collapse text-center font-mono text-lg font-bold"><tbody><tr class="h-6 text-xs text-slate-400"><td class="w-8"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td></tr><tr class="h-8"><td></td><td class="border-r border-slate-200">8</td><td class="border-r border-slate-200">2</td><td class="border-r border-slate-200">1</td><td>5</td></tr><tr class="h-8 border-b-2 border-slate-900"><td class="text-sky-600 font-sans font-black pr-1">−</td><td class="border-r border-slate-200">3</td><td class="border-r border-slate-200">6</td><td class="border-r border-slate-200">4</td><td>8</td></tr><tr class="h-10 bg-slate-50/50"><td></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td></td></tr></tbody></table>
<table class="border-collapse text-center font-mono text-lg font-bold"><tbody><tr class="h-6 text-xs text-slate-400"><td class="w-8"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td><td class="w-10 border border-dashed border-slate-200 rounded"></td></tr><tr class="h-8"><td></td><td class="border-r border-slate-200">5</td><td class="border-r border-slate-200">0</td><td class="border-r border-slate-200">0</td><td>3</td></tr><tr class="h-8 border-b-2 border-slate-900"><td class="text-sky-600 font-sans font-black pr-1">−</td><td class="border-r border-slate-200">2</td><td class="border-r border-slate-200">4</td><td class="border-r border-slate-200">7</td><td>6</td></tr><tr class="h-10 bg-slate-50/50"><td></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td class="border-r border-slate-200"></td><td></td></tr></tbody></table>
<table class="border-collapse font-mono text-base font-bold text-right"><tbody><tr class="h-6 text-slate-400 text-xs"><td class="w-16"></td><td class="w-8 border border-dashed border-slate-200 text-center"></td><td class="w-8 border border-dashed border-slate-200 text-center"></td></tr><tr class="h-7"><td></td><td class="text-center">7</td><td class="text-center">4</td></tr><tr class="h-7 border-b-2 border-slate-900"><td class="text-left pl-2 text-purple-600 font-sans font-black">×</td><td class="text-center">3</td><td class="text-center">5</td></tr><tr class="h-7 text-sm"><td class="text-left text-[11px] text-slate-500 font-sans">74 × 5</td><td colspan="2" class="border border-slate-300 bg-slate-50"></td></tr><tr class="h-7 text-sm border-b-2 border-slate-900"><td class="text-left text-[11px] text-slate-500 font-sans">74 × 30</td><td class="border border-slate-300 bg-slate-50"></td><td class="border border-slate-300 bg-amber-50 text-center text-amber-800 font-black">0</td></tr><tr class="h-8"><td class="text-left text-xs font-bold text-slate-700 font-sans">Total:</td><td colspan="2" class="border-2 border-slate-400 bg-white"></td></tr></tbody></table>
<table class="border-collapse font-mono text-base font-bold text-right"><tbody><tr class="h-6 text-slate-400 text-xs"><td class="w-16"></td><td class="w-8 border border-dashed border-slate-200 text-center"></td><td class="w-8 border border-dashed border-slate-200 text-center"></td><td class="w-8 border border-dashed border-slate-200 text-center"></td></tr><tr class="h-7"><td></td><td class="text-center">1</td><td class="text-center">6</td><td class="text-center">2</td></tr><tr class="h-7 border-b-2 border-slate-900"><td class="text-left pl-2 text-purple-600 font-sans font-black">×</td><td></td><td class="text-center">2</td><td class="text-center">4</td></tr><tr class="h-7 text-sm"><td class="text-left text-[11px] text-slate-500 font-sans">162 × 4</td><td colspan="3" class="border border-slate-300 bg-slate-50"></td></tr><tr class="h-7 text-sm border-b-2 border-slate-900"><td class="text-left text-[11px] text-slate-500 font-sans">162 × 20</td><td colspan="2" class="border border-slate-300 bg-slate-50"></td><td class="border border-slate-300 bg-amber-50 text-center text-amber-800 font-black">0</td></tr><tr class="h-8"><td class="text-left text-xs font-bold text-slate-700 font-sans">Total:</td><td colspan="3" class="border-2 border-slate-400 bg-white"></td></tr></tbody></table>
Independent Stride Worksheet Level 1 • Independent Practice Operation Practice
Independent Stride Worksheet
Name:
Date:
Compute using the standard algorithm. Keep your work neat and align digits carefully. Show all steps.
Goal: 70% Accuracy
+ Multi-Digit Addition
Compute each sum
Problem 1 34,519 + 28,647
34,519
+ 28,647
Sum:
Problem 2 62,804 + 19,398
62,804
+ 19,398
Sum:
− Multi-Digit Subtraction
Compute each difference
Problem 3 45,210 − 18,365
45,210
− 18,365
Difference:
Problem 4 70,005 − 34,268
70,005
− 34,268
Difference:
Proceed to Page 2 for Multiplication & Division → Page 1 of 2
Level 1
Independent Stride Worksheet • Page 2
Multi-Digit Calculations
× Multi-Digit Multiplication
Calculate products using the standard algorithm
Problem 5 86 × 47
86
× 47
Product:
Problem 6 248 × 36
248
× 36
Product:
÷ Multi-Digit Division
Find whole-number quotients and remainders
Problem 7 763 ÷ 7
7 )
7 6 3
Answer:
Q = _____ R = _____
Problem 8 3,491 ÷ 8
8 )
3 4 9 1
Answer:
Q = _____ R = _____
Accuracy Check: Problems Correct: _____ / 8 Percentage: _____% Goal Met (≥70%): [ ] Yes [ ] In Progress
Page 2 of 2
Form A Monitoring Assessment IEP Progress Probe FORM A
Multi-Digit Arithmetic Assessment
Student:
Date:
Accommodations Applied: [ ] Extended Time [ ] Read Aloud Directions [ ] Chunked Presentation
Mastery Target: 70% (6/8 Correct)
Standard 1: Multi-Digit Addition with Regrouping Items 1 & 2 (1 pt each)
Item 1 Score: [ ] 1 [ ] 0
4,827
+ 3,695
Answer:
Item 2 Score: [ ] 1 [ ] 0
28,456
+ 17,984
Answer:
Standard 2: Multi-Digit Subtraction with Regrouping Items 3 & 4 (1 pt each)
Item 3 Score: [ ] 1 [ ] 0
6,342
− 2,785
Answer:
Item 4 Score: [ ] 1 [ ] 0
50,004
− 23,618
Answer:
Turn page for Items 5 – 8 (Multiplication & Division) → Page 1 of 2
FORM A
Multi-Digit Arithmetic Assessment • Page 2
Standard Algorithm Evaluation
Standard 3: Multi-Digit Multiplication Items 5 & 6 (1 pt each)
Item 5 Score: [ ] 1 [ ] 0
63
× 28
Product:
Item 6 Score: [ ] 1 [ ] 0
315
× 42
Product:
Standard 4: Multi-Digit Division (1-Digit Divisor) Items 7 & 8 (1 pt each)
Item 7 Score: [ ] 1 [ ] 0
4 )
9 4 8
Answer:
Q = ______ R = ______
Item 8 Score: [ ] 1 [ ] 0
6 )
3, 5 7 2
Answer:
Q = ______ R = ______
Teacher Scoring Summary (Form A) Evaluator: ___________________________
Addition
___ / 2 pts
Subtraction
___ / 2 pts
Multiplication
___ / 2 pts
Division
___ / 2 pts
Total Raw Score: _____ / 8 (____ %)
IEP Goal Target (≥70%): [ ] MET (≥6/8) [ ] NOT MET (≤5/8)
Form B Monitoring Assessment IEP Progress Probe FORM B
Multi-Digit Arithmetic Assessment
Student:
Date:
Accommodations Applied: [ ] Extended Time [ ] Read Aloud Directions [ ] Chunked Presentation
Mastery Target: 70% (6/8 Correct)
Standard 1: Multi-Digit Addition with Regrouping Items 1 & 2 (1 pt each)
Item 1 Score: [ ] 1 [ ] 0
5,738
+ 2,684
Answer:
Item 2 Score: [ ] 1 [ ] 0
37,592
+ 24,869
Answer:
Standard 2: Multi-Digit Subtraction with Regrouping Items 3 & 4 (1 pt each)
Item 3 Score: [ ] 1 [ ] 0
7,425
− 3,867
Answer:
Item 4 Score: [ ] 1 [ ] 0
60,003
− 27,458
Answer:
Turn page for Items 5 – 8 (Multiplication & Division) → Page 1 of 2
FORM B
Multi-Digit Arithmetic Assessment • Page 2
Standard Algorithm Evaluation
Standard 3: Multi-Digit Multiplication Items 5 & 6 (1 pt each)
Item 5 Score: [ ] 1 [ ] 0
54
× 37
Product:
Item 6 Score: [ ] 1 [ ] 0
426
× 35
Product:
Standard 4: Multi-Digit Division (1-Digit Divisor) Items 7 & 8 (1 pt each)
Item 7 Score: [ ] 1 [ ] 0
3 )
8 5 9
Answer:
Q = ______ R = ______
Item 8 Score: [ ] 1 [ ] 0
5 )
4, 7 3 8
Answer:
Q = ______ R = ______
Teacher Scoring Summary (Form B) Evaluator: ___________________________
Addition
___ / 2 pts
Subtraction
___ / 2 pts
Multiplication
___ / 2 pts
Division
___ / 2 pts
Total Raw Score: _____ / 8 (____ %)
IEP Goal Target (≥70%): [ ] MET (≥6/8) [ ] NOT MET (≤5/8)
Progress Tracking Teacher Guide Teacher Guide IEP Data & Assessment Suite
Progress Tracking Teacher Guide
Annual Target: 70% Accuracy
Resource Replacement 5th/6th
IEP Annual Measurable Goal:
"Given modified curriculum materials and testing accommodations, the student will use place value understanding and properties of operations to fluently add, subtract, multiply, and divide multi-digit whole numbers using the standard algorithm with at least 70% accuracy across consecutive progress monitoring probes."
Master Scoring Key (Equal Skill Rotation Probes)
Item Skill Domain Form A Solution & Steps Form B Solution & Steps 1 Addition (4-digit) 4,827 + 3,695 = 8,522 5,738 + 2,684 = 8,422 2 Addition (5-digit) 28,456 + 17,984 = 46,440 37,592 + 24,869 = 62,461 3 Subtraction (4-digit) 6,342 − 2,785 = 3,557 7,425 − 3,867 = 3,558 4 Subtraction (Zeros) 50,004 − 23,618 = 26,386 60,003 − 27,458 = 32,545 5 Multiplication (2×2) 63 × 28 = 504 + 1260 = 1,764 54 × 37 = 378 + 1620 = 1,998 6 Multiplication (3×2) 315 × 42 = 630 + 12600 = 13,230 426 × 35 = 2130 + 12780 = 14,910 7 Division (3÷1) 948 ÷ 4 = 237 R 0 859 ÷ 3 = 286 R 1 8 Division (4÷1) 3,572 ÷ 6 = 595 R 2 4,738 ÷ 5 = 947 R 3
70% Accuracy Decision Scale (8-Point Probe)
≤ 4 / 8 (≤ 50%)
Intensive Tier 3 Review
5 / 8 (62.5%)
Approaching Target
6 / 8 (75%) • GOAL MET
≥70% Target Met
7-8 / 8 (87.5-100%)
Mastery / Fade Scaffolds
Testing Accommodation Implementation Rules:
<table class="w-full mt-2 text-center text-[9px] border-collapse border border-slate-200"><tbody><tr class="bg-slate-50 text-slate-600 font-semibold"><td class="p-1 border border-slate-200 w-12 text-left font-bold">Date</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td><td class="p-1 border border-slate-200">___/___</td></tr><tr><td class="p-1 border border-slate-200 w-12 text-left font-bold text-slate-700">Score</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td><td class="p-1 border border-slate-200">/8</td></tr></tbody></table>