Array Division Probe Worksheet
Array Division Quick Check
Independent Progress Probe • Grade 3 Operations
Probe:
Score: _____ / 8
Student Name:
Date:
Period/Group:
Skill 1: Build Equal Groups (Partition items into equal shares)
1 1 pt
Circle equal groups of 3 to divide the 15 counters:
How many groups? 15 ÷ 3 =
2 1 pt
Share 16 stars equally into 4 boxes. Draw stars in each box:
Stars in each box: 16 ÷ 4 =
Skill 2: Make Array Models (Represent division with rows & columns)
3 1 pt
Complete the array to solve 12 ÷ 4 = ___.
There are 4 rows. Draw dots so the total is 12:
Row 1 →
Row 2 →
Row 3 →
Row 4 →
Columns in each row:
12 ÷ 4 =
4 1 pt
Draw an array to model 20 ÷ 5 = ___.
Use 5 equal rows in the work space below:
Work space for your 5-row array:
Number in each row:
20 ÷ 5 =
Array Division Lab • Skills 1 & 2 Page 1 of 2 → Continue on back
Array Division Quick Check • Page 2
Student:
Skill 3: Connect Multiplication & Division (Use fact families and inverse operations)
5 1 pt
Look at this array of 3 rows with 6 dots:
Multiplication: 3 × 6 =
Related Division: 18 ÷ 3 =
Related Division: 18 ÷ 6 =
6 1 pt
Think multiplication to divide: 28 ÷ 7 = ?
Ask: "7 times what number equals 28?"
7 × = 28
Sketch an array or write multiples to check:
Therefore: 28 ÷ 7 =
Skill 4: Solve Word Problems with Arrays (Apply division models to real-world scenarios)
7 1 pt
Coach Rivera has 24 basketballs. She places them equally across 4 storage racks. How many basketballs are on each rack?
Draw your array model:
Division Equation:
Answer: basketballs
8 1 pt
Samir baked 18 muffins. He packs them into bakery trays with 3 muffins in each row. How many rows does Samir make?
Draw your array model:
Division Equation:
Answer: rows
Self-Reflection: How confident do you feel with division arrays?
Needs Practice Getting There Array Master
Array Division Lab • Skills 3 & 4 Page 2 of 2 • End of Probe
Array Division Progress Tracker
Student Progress Tracker: Division with Arrays
Tier 2/3 MTSS • Special Education • Longitudinal Probe Log
Individual Student Profile
Student:
Grade/Room:
Educator:
Measurable Goal: 85%+ accuracy (7/8 pts) across 3 consecutive checks with Level 1 (Independent) support
Target Date:
Repeated Probe Record (Target: 8 Points Total)
Administer 1x weekly or bi-weekly
| Check |
Date |
S1: Equal Grps (/2) |
S2: Arrays (/2) |
S3: Facts (/2) |
S4: Word (/2) |
Total (/8) |
% |
Support |
Observed Error / Next Focus |
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Visual Aimline & Trend Graph (% Accuracy)
Aimline (85% Target) Student Score
100%
85% Mastery Benchmark
60%
40%
20%
0%
Base
P1
P2
P3
P4
P5
Post
Level 1: Independent (IND)
Student solves unassisted without reminders; draws arrays accurately with correct quotient.
Level 2: Prompted (VP)
Requires verbal prompt ("How many rows?") or visual cue (row guide / grid line highlight).
Level 3: Concrete/Modeled (MAN)
Requires physical counters/tiles or teacher modeling step-by-step partition into equal rows.
Array Division Progress Monitoring System Page 1 of 2 • Individual Longitudinal Record
Small Group & Class Monitoring Log • Intervention Cohort Overview
Target Cycle:
Intervention Group Progress Matrix Record total score (/8) & Support Level code (e.g. 7/8 IND)
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Base |
Check 1 |
Check 2 |
Check 3 |
Check 4 |
Current Tier |
Targeted Next Step / Instructional Focus |
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Skill Diagnostic Rubric & Corrective Instruction
Skill 1: Equal Groups 2 Pts
Mastery: Correctly partitions total into equal sets without remainder confusion.
Common Error: Student creates unequal groups or circles group count instead of group size.
Correction: Use physical two-color counters and "dealing cards" routine (one-by-one sharing).
Skill 2: Array Models 2 Pts
Mastery: Aligns rows & columns into neat rectangular grid; reads missing factor.
Common Error: Confuses rows (horizontal) with columns (vertical); irregular spacing.
Correction: Provide 1-cm grid paper or square tile arrays with row highlighter strip.
Skill 3: Connect Facts 2 Pts
Mastery: Connects known multiplication facts to solve inverse division sentence.
Common Error: Reversing dividend and divisor (e.g. writing 3 ÷ 18 = 6) or adding factors.
Correction: Triangle fact cards and "Total on Top" visual anchor chart.
Skill 4: Word Problems 2 Pts
Mastery: Identifies total, group count or size, models with array, writes equation.
Common Error: Multiplies instead of dividing when seeing two numbers in the prompt.
Correction: 3-Read Protocol: 1) What is happening? 2) What is the total? 3) What is shared?
MTSS Instructional Decision Rules:
• 3 checks ≥ 85% (IND): Goal met. Fade prompts to maintenance checks (1x monthly).
• Flat trend across 3 checks: Adjust strategy; switch to concrete tiles or reduce array size.
• Downward trend: Increase intervention intensity (Tier 3), smaller group (1:2), 3x weekly.
Array Division Progress Monitoring System Page 2 of 2 • Cohort Matrix & Diagnostic Rubrics
