Probe 1 Schema Assessment Probe 1
Word Problem Schema Probe
Goal: 2.OA.A.1 • Addition & Subtraction within 200
Name:
Date:
Score:
Schema: ___/3 Eq: ___/3 Ans: ___/3
1
Mateo had 134 baseball cards in his album. He gave 48 cards to his younger brother. How many baseball cards does Mateo have left?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: cards
2
The bakery made 76 blueberry muffins and 85 corn muffins for breakfast. How many muffins did the bakery make in all?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: muffins
3
Maya read 142 pages of her mystery book. Leo read 95 pages of his book. How many more pages did Maya read than Leo?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: pages
Mastery Criteria: ≥ 80% (7/9 pts) on 3 consecutive probes • Probe 1 of 5
Rubric: 1 pt Schema | 1 pt Equation | 1 pt Solution
Probe 2 Schema Assessment Probe 2
Word Problem Schema Probe
Goal: 2.OA.A.1 • Addition & Subtraction within 200
Name:
Date:
Score:
Schema: ___/3 Eq: ___/3 Ans: ___/3
1
On Saturday, 88 children and 94 adults visited the city science museum. How many people visited the science museum in all?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: people
2
A garden shop had 165 tulip bulbs in the morning. By afternoon, customers bought 79 of the bulbs. How many tulip bulbs were left in the shop?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: bulbs
3
The red school bus traveled 118 miles this week. The yellow school bus traveled 154 miles. How many fewer miles did the red bus travel than the yellow bus?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: miles
Mastery Criteria: ≥ 80% (7/9 pts) on 3 consecutive probes • Probe 2 of 5
Rubric: 1 pt Schema | 1 pt Equation | 1 pt Solution
Probe 3 Schema Assessment Probe 3
Word Problem Schema Probe
Goal: 2.OA.A.1 • Addition & Subtraction within 200
Name:
Date:
Score:
Schema: ___/3 Eq: ___/3 Ans: ___/3
1
Liam collected 67 seashells at the beach on Friday. On Saturday, he collected 58 more seashells. How many seashells does Liam have now?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: seashells
2
Farmer Caleb harvested 175 red apples and 88 green apples. How many more red apples did he harvest than green apples?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: apples
3
The school library has 124 fiction books and 69 non-fiction books on the display table. How many total books are on the display table?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: books
Mastery Criteria: ≥ 80% (7/9 pts) on 3 consecutive probes • Probe 3 of 5
Rubric: 1 pt Schema | 1 pt Equation | 1 pt Solution
Probe 4 Schema Assessment Probe 4
Word Problem Schema Probe
Goal: 2.OA.A.1 • Addition & Subtraction within 200
Name:
Date:
Score:
Schema: ___/3 Eq: ___/3 Ans: ___/3
1
At the track meet, Elena scored 163 points. Marcus scored 89 points. How many fewer points did Marcus score than Elena?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: points
2
In the art room, there are 87 blue colored pencils and 78 green colored pencils in the supply bins. How many pencils are there altogether?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: pencils
3
A pet rescue had 146 bags of dog food. Volunteers used 59 bags during the month. How many bags of dog food are left?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: bags
Mastery Criteria: ≥ 80% (7/9 pts) on 3 consecutive probes • Probe 4 of 5
Rubric: 1 pt Schema | 1 pt Equation | 1 pt Solution
Probe 5 Schema Assessment Probe 5
Word Problem Schema Probe
Goal: 2.OA.A.1 • Addition & Subtraction within 200
Name:
Date:
Score:
Schema: ___/3 Eq: ___/3 Ans: ___/3
1
The school cafeteria served 74 cheese sandwiches and 98 turkey sandwiches at lunch. How many sandwiches were served in all?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: sandwiches
2
Kendra saved $86 in her piggy bank. She earned $65 more by washing cars with her dad. How much money does Kendra have in all?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: $
3
The wildlife park has 152 tropical birds and 78 reptiles. How many more birds are there than reptiles?
1. Schema: Change (Start ± Change = End) Combine (Part + Part = Total) Compare (Bigger − Smaller = Diff)
2. Fill into your schema organizer:
Change: Start ± Chg → End
Combine: Part 1 + Part 2 = Total
Compare: Bigger − Smaller = Diff
3. Visualizing & Solving Space:
4. Equation:
[+ / −] =
Answer: birds
Mastery Criteria: ≥ 80% (7/9 pts) on 3 consecutive probes • Probe 5 of 5
Rubric: 1 pt Schema | 1 pt Equation | 1 pt Solution
Schema Probes Answer Key Teacher Key
Schema Probes Answer Key & Guide
Page 1 of 2 • Probes 1–3
Scoring per problem: 1 pt Schema choice • 1 pt Equation & operation • 1 pt Accurate solution (3 pts/problem • 9 pts total per probe).
Probe 1 Card Album, Muffins & Mystery Pages
Max Score: 9 Points
Problem 1 (Mateo's Cards)
Schema: Change (Decrease)
Start: 134 → Chg: −48 → End: ?
Eq: 134 − 48 = 86
Answer: 86 cards
Problem 2 (Bakery Muffins)
Schema: Combine (Total)
Part: 76 + Part: 85 = Total: ?
Eq: 76 + 85 = 161
Answer: 161 muffins
Problem 3 (Reading Pages)
Schema: Compare (Difference)
Big: 142 − Sm: 95 = Diff: ?
Eq: 142 − 95 = 47
Answer: 47 pages
Probe 2 Museum, Tulip Bulbs & Bus Miles
Max Score: 9 Points
Problem 1 (Museum Visitors)
Schema: Combine (Total)
Part: 88 + Part: 94 = Total: ?
Eq: 88 + 94 = 182
Answer: 182 people
Problem 2 (Tulip Bulbs)
Schema: Change (Decrease)
Start: 165 → Chg: −79 → End: ?
Eq: 165 − 79 = 86
Answer: 86 bulbs
Problem 3 (Bus Miles)
Schema: Compare (Difference)
Big: 154 − Sm: 118 = Diff: ?
Eq: 154 − 118 = 36
Answer: 36 miles
Probe 3 Seashells, Apple Orchard & Library Books
Max Score: 9 Points
Problem 1 (Liam's Seashells)
Schema: Change (Increase)
Start: 67 → Chg: +58 → End: ?
Eq: 67 + 58 = 125
Answer: 125 seashells
Problem 2 (Apple Harvest)
Schema: Compare (Difference)
Big: 175 − Sm: 88 = Diff: ?
Eq: 175 − 88 = 87
Answer: 87 apples
Problem 3 (Library Books)
Schema: Combine (Total)
Part: 124 + Part: 69 = Total: ?
Eq: 124 + 69 = 193
Answer: 193 books
Teaching Tip:
When evaluating student schema selections, observe whether the student recognizes action over time (Change) versus static sets brought together (Combine) versus evaluating a gap between two separate quantities (Compare). Compare problems with wording like “fewer than” or “more than” frequently trigger misapplication of addition.
Schema-Based Instruction Assessment Suite Answers for Probes 4 & 5 on Page 2 →
Teacher Key
Schema Probes Answer Key & Guide
Page 2 of 2 • Probes 4–5
Detailed solutions for Probes 4 and 5 followed by the 3-point diagnostic scoring rubric and error intervention guide.
Probe 4 Track Points, Art Pencils & Dog Food
Max Score: 9 Points
Problem 1 (Track Meet)
Schema: Compare (Difference)
Big: 163 − Sm: 89 = Diff: ?
Eq: 163 − 89 = 74
Answer: 74 points
Problem 2 (Art Pencils)
Schema: Combine (Total)
Part: 87 + Part: 78 = Total: ?
Eq: 87 + 78 = 165
Answer: 165 pencils
Problem 3 (Rescue Dog Food)
Schema: Change (Decrease)
Start: 146 → Chg: −59 → End: ?
Eq: 146 − 59 = 87
Answer: 87 bags
Probe 5 Lunch Sandwiches, Car Wash & Birds
Max Score: 9 Points
Problem 1 (Sandwiches)
Schema: Combine (Total)
Part: 74 + Part: 98 = Total: ?
Eq: 74 + 98 = 172
Answer: 172 sandwiches
Problem 2 (Saved Money)
Schema: Change (Increase)
Start: $86 → Chg: +$65 → End: ?
Eq: 86 + 65 = 151
Answer: $151
Problem 3 (Zoo Birds)
Schema: Compare (Difference)
Big: 152 − Sm: 78 = Diff: ?
Eq: 152 − 78 = 74
Answer: 74 birds
IEP Goal Scoring Rubric (3 Points per Problem) Goal Mastery: ≥ 80% (7/9 pts)
Component
1 Point (Mastered)
0 Points (Intervention Needed)
1. Schema Organizer
Selects correct schema and places both given values and “?” in proper slots.
Selects incorrect schema or places numbers randomly into organizer slots.
2. Operation & Equation
Chooses correct operation sign (+ or −) and writes mathematical sentence matching schema.
Reverses operands (e.g., 48 − 134) or selects wrong operation regardless of schema.
3. Accurate Solution
Calculates correct multi-digit sum/difference within 200 with appropriate unit label.
Computational regrouping error, off by ten, or omits unit label.
Instructional Next Steps Based on Probe Errors:
Schema Error (Organizer 0/3): Reteach schema characteristics using gesture cues (hands moving out/in for Change; hands holding two separate sets for Compare).Operation Error (Equation 0/3): Prompt student to refer back to their schema organizer frame before writing the math signs.Calculation Error (Solution 0/3): Provide base-ten blocks or open number lines to support 2-digit subtraction with regrouping.
Progress Monitoring IEP Progress Key 2.OA.A.1 Special Education Assessment Resource
Schema Progress Tracker IEP Data Tool
Schema Problem Solving Tracker
Page 1 of 2 • Goal Mastery Log
Student:
Case Mgr:
School Year:
Goal: ≥ 80%
Target IEP Goal: “Given 2nd-grade one-step word problems involving addition and subtraction within 200, student will independently utilize a structured schema organizer (identifying change, combine, or compare relationships) to select the correct operation and write a corresponding number sentence with at least 80% accuracy across 3 consecutive probes.”
Visual Progress Chart (Plot % accuracy each trial)
Student Score Mastery Line (80%)
100%
80%
IEP Target
60%
40%
20%
0%
Baseline Probe 1 Probe 2 Probe 3 Probe 4 Probe 5 Probe 6 Probe 7
Progress Monitoring Log Prompt Level: I = Indep, V = Verbal, G = Gestural, M = Model
Date
Probe
Schema (/3)
Organizer (/3)
Eq & Op (/3)
Raw (/9)
% Correct
Prompt
≥ 80%?
__/__
Base
/3
/3
/3
/9
___%
___
[ ]
__/__
Probe 1
/3
/3
/3
/9
___%
___
[ ]
__/__
Probe 2
/3
/3
/3
/9
___%
___
[ ]
__/__
Probe 3
/3
/3
/3
/9
___%
___
[ ]
__/__
Probe 4
/3
/3
/3
/9
___%
___
[ ]
__/__
Probe 5
/3
/3
/3
/9
___%
___
[ ]
Change Schema
Probes Correct: ___ / 5
Combine Schema
Probes Correct: ___ / 5
Compare Schema
Probes Correct: ___ / 5
Mastery: 3 consecutive probes at ≥ 80% with Independent status See Page 2 for Qualitative Analysis & IEP Progress Summary →
IEP Data Tool
Qualitative Notes & IEP Summary
Page 2 of 2 • Instructional Decisions
Document accommodations provided, qualitative problem-solving behaviors, and quarterly progress reporting narrative.
Accommodations Utilized During Administration
Read aloud of text Base-10 manipulatives Open number line Highlighter / text marker Extended time Frequent breaks
Probe-by-Probe Qualitative Notes
Probe 1 • Date: ________ Independence Level: [ ] Indep [ ] Prompts
Probe 2 • Date: ________ Independence Level: [ ] Indep [ ] Prompts
Probe 3 • Date: ________ Independence Level: [ ] Indep [ ] Prompts
Probe 4 • Date: ________ Independence Level: [ ] Indep [ ] Prompts
Probe 5 • Date: ________ Independence Level: [ ] Indep [ ] Prompts
Instructional Decision Rules
• If 3 consecutive points fall BELOW aimline: Modify intervention: reduce numbers to within 100, increase schema sort practice with physical manipulatives, or review schema identification gestures daily.
• If 3 consecutive points fall AT OR ABOVE 80%: Mastery demonstrated! Fade schema organizer visual cues to student-drawn diagrams, advance to two-step word problems, or increase computation bounds to within 1,000.
Quarterly IEP Progress Reporting Summary:
Q1 Progress: ____% avg
Q2 Progress: ____% avg
Q3 Progress: ____% avg
Q4 Progress: ____% avg
Status: [ ] Goal Met • [ ] Satisfactory Progress • [ ] Needs Revision
Special Education IEP Progress Documentation Confidential Student Record • Retain in IEP Folder
