Story Solvers Goal Guide
Grade 2 Math CCSS 2.OA.A.1 Standards-Based Learning Blueprint
Story Problem Mastery Framework
Instructional Goals, Measurable Objectives & Learning Targets
Operations & Algebraic Thinking
Overarching Annual Competency Goal Mastery Criterion: 80% across 4 Trials
By the end of Grade 2, given grade-level one- and two-step story problems within 100, the student will independently comprehend problem context, choose the correct operation (+ or −), represent the problem with a visual model and equation with an unknown, and calculate accurate solutions with 80% accuracy across 4 consecutive classroom evaluations.
Core Measurable Objectives & Student Targets
4 Targeted Instructional Pillars
1
Understand Problem Language
Comprehension
Target: Given a word problem within 100, student will identify given quantities, determine the unknown, and restate what the question asks with 90% accuracy in 4 of 5 trials.
Distinguishes start, change, and result quantities
Paraphrases context without isolated keywords
"I Can" Statement:
"I can retell the story and tell what the question is asking me to find."
2
Choose the Operation
Reasoning
Target:
Identifies action: combining, taking away, or comparing
Explains why an operation fits the scenario structure
"I Can" Statement:
"I can decide if I need to add or subtract and explain my reason."
3
Represent the Problem
Modeling
Target: Student will construct an accurate model (tape diagram, number bond, open line) and write an equation with a symbol for the unknown (\(?\)) with 85% accuracy.
Sketches proportional bar models or number bonds
Writes matching algebraic equations: e.g., \(45 - ? = 18\)
"I Can" Statement:
"I can draw a bar model and write a number sentence with a mystery box."
4
Solve 1- & 2-Step Problems
Computation
Target: Student will calculate accurate solutions within 100 for 1-step problems (85%) and 2-step problems (80%), showing written work and units in 4 of 5 sessions.
Uses place-value strategies (regrouping / decomposing)
Solves sequential hidden question in 2-step tasks
"I Can" Statement:
"I can solve one- and two-step problems within 100 and label my answer."
Grade 2 Story Problem Situation Schemas (Within 100)
Cognitive Types Targeted in Assessments
| Problem Schema | Structural Model | Grade 2 Context Example |
|---|
| Add To / Take From | Start ± Change = Result | Mia had 48 crayons. She gave some away. Now she has 29. \((48 - ? = 29)\) |
| Put Together / Take Apart | Part + Part = Total | There are 74 apples. 38 are green, rest red. How many red? \((38 + ? = 74)\) |
| Compare (More / Fewer) | Greater − Lesser = Diff | Noah has 62 blocks. Zoe has 45. How many more has Noah? \((62 - 45 = ?)\) |
| Two-Step Chain | Step 1 (Hidden) → Step 2 | Bakes 35 and 40 cookies. Friends eat 52. How many remain? |
Curriculum Alignment: Standards, IEP Planning & Progress Monitoring Page 1 of 2 • Core Goals & Objectives
Instructional & Evaluation Guide
Mastery Rubric & Exemplar Models
Evaluation & Progress Monitoring
Standards-Based Progress Monitoring Continuum
Level 1: Emerging (<60%)
Level 2: Developing (60–74%)
Level 3: Proficient (75–89%)
Level 4: Advanced (90–100%)
Comprehend: Grabs numbers randomly; does not state question.
Operation: Guesses + or − based solely on superficial words.
Solving: Struggling with 1-step problems within 20.
Comprehend: Identifies quantities with prompt; finds question.
Operation: Chooses operation in direct 1-step (Result Unknown).
Solving: Solves 1-step within 50; struggles with Change Unknown.
Comprehend: Restates target question and gives values independently.
Operation: Justifies + or − for all 1-step and 2-step sequences.
Solving: Accurately solves 1- and 2-step within 100 using bar models.
Comprehend: Discerns extra info; explains relational structures.
Operation: Uses inverse operations and multiple representations.
Solving: Explains error patterns, creates problems, 95%+ fluency.
Annotated Instructional Exemplars
Exemplar 1: One-Step (Take From • Change Unknown) Within 100 • Missing Addend / Subtraction
“Maya collected 42 sea shells on the beach. A wave washed some away. Now she has 27 shells left. How many shells did the wave wash away?”
1. Understand
- Start: 42 shells
- Change: Unknown washed away (?)
- End: 27 shells remaining
2. Model & Equation
[-- Total: 42 --]
[27 left] [ ? washed ]
\(42 - ? = 27\) or \(27 + ? = 42\)
3. Solution & Check
\(42 - 27 = 15\)
Answer: 15 shells washed away
Check: \(27 + 15 = 42\) ✓
Exemplar 2: Two-Step (Put Together → Take From) Within 100 • Multi-Step Reasoning
“Leo had 36 red marbles and 28 blue marbles. He gave 19 marbles to his sister. How many marbles does Leo have left?”
Step 1: Combine Total
Solve the hidden question:
\(36 + 28 = 64\) marbles
Step 1 Total: 64 marbles
Step 2: Subtract Given
Take away marbles given away:
\(64 - 19 = 45\) marbles
Regroup 1 ten into 10 ones
Final Answer
Leo has 45 marbles left.
Two-step sentence:
\((36 + 28) - 19 = 45\)
Instructional Support, Scaffolding & Tier 2 Strategies
Three-Read Protocol:
1. Read for story context. 2. Read for quantities and units. 3. Read to formulate the mathematical question.
Schema Modeling:
Draw part-part-whole bar models or tape diagrams before calculating to eliminate false keyword guessing.
Sentence Frames (IEP):
"The story starts with ___. Then ___ happened. Now I need to find ___ so I will ___."
Curriculum Alignment: Assessment Rubric, Schema Modeling & Exemplars Page 2 of 2 • Mastery Evaluation Guide
