Total students
—
Periods 2–5
Tier 3 · Intensive
—
19% · significant gaps
Tier 2 · Strategic
—
33% · targeted support
Tier 1 · Monitor
—
48% · on track
iReady score distribution
BOY 2024 — grade-level equivalents (Fall Math norms)
Domain skill gaps
% students below proficiency by strand
Tier distribution by period
Student roster
Click a student to view full profile
| Student | Tier | iReady | State test | Trend | Growth |
|---|---|---|---|---|---|
| Maya Patel | T1 | 448 |
Proficient | ▲ up | |
| Noah Castillo | T1 | 442 |
Proficient | ● flat | |
| Zoe Henderson | T1 | 455 |
Advanced | ▲ up | |
| Isaiah Freeman | T1 | 438 |
Proficient | ▲ up | |
| Fatima Al-Rashid | T1 | 451 |
Proficient | ● flat |
Student profile
Elijah Mendez
Domain profile
Ratios & Prop.55%
Algebra48%
Geometry60%
Statistics50%
Number Sense47%
Qualitative indicators
growth mindsetparent support: medresponds to challengeIntervention recommendationNear-Tier 2. Structured practice small group. Monitor for promotion in MOY.
Number Sense
Integers, fractions, decimals, percent
58%
below proficiency
Fraction operations64%
Integer operations55%
Percent / ratio52%
Algebra & Expressions
Variables, equations, inequalities
52%
below proficiency
Solving equations60%
Expressions50%
Inequalities44%
Ratios & Proportions
Unit rates, proportional relationships
48%
below proficiency
Unit rates52%
Proportional tables48%
Scale / percent change42%
Statistics & Probability
Data analysis, measures of center
44%
below proficiency
Mean / median / mode48%
Data displays42%
Probability38%
Geometry
Area, surface area, angle relationships
38%
below proficiency
Area / perimeter42%
Surface area36%
Angle relationships34%
Class-wide priorities
▲Number Sense — highest gap at 58%. Fraction operations most acute. Recommend whole-class re-engagement first.
▲Algebra — 60% struggle with equations. Likely 6th grade linear reasoning gaps not closed.
●Geometry — relative strength. Use as a confidence entry point for Tier 3 students.
Avg. iReady growth
+14
scale pts, BOY→MOY
On-track growth
61%
meeting trajectory
Tier promotions
7
T3→T2 or T2→T1 at MOY
Regression risk
4
students declining
Trajectory by tier
Average iReady BOY → MOY → EOY
Top growth movers
Greatest scale score gains BOY→MOY
Growth vs. starting score
Each point = one student · size = state test level · color = tier
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Recommended groupings based on tier, domain profile, and qualitative indicators. Fabricated demo data.
Tier 3 · Cohort A3
Number sense & fractions
Aaliyah Torres
iR 388 · Basic
Marcus Lee
iR 392 · Basic
Jordan Kim
iR 395 · Basic
Tier 3 · Cohort B3
Ratio & EL scaffolding
Destiny Okafor
iR 381 · Below Basic
Brianna Walsh
iR 376 · Below Basic
Elijah Mendez
iR 400 · Basic
Tier 2 · Algebra A3
Equations & expressions
Priya Nair
iR 418 · Basic
DeShawn Brooks
iR 412 · Basic
Amir Hassan
iR 408 · Basic
Tier 2 · Ratio B3
Unit rates & proportions
Sofia Reyes
iR 422 · Proficient
Camille Dupont
iR 425 · Proficient
Caleb Washington
iR 410 · Basic
Tier 2 · Stats C1
Data & variability
Liam Osei
iR 415 · Basic
Tier 1 · Enrichment5
Pre-algebra extensions
Maya Patel
iR 448 · Proficient
Noah Castillo
iR 442 · Proficient
Zoe Henderson
iR 455 · Advanced
Isaiah Freeman
iR 438 · Proficient
Fatima Al-Rashid
iR 451 · Proficient
Educator Reports
📄
MTSS Documentation Packets
Full RTI record for every Tier 2 & 3 student · print-ready
📋
BOY Intervention Plan
Tier 3 & Tier 2 students · goals, groups, schedule
📊
Tier Placement Summary
All 94 students · tier, score, period, trend
📈
Domain Gap Analysis
Class-wide proficiency gaps by strand
👥
Parent Communication Packets
Individual letters for all 94 students
Admin & MTSS
🏫
Grade-Level MTSS Summary
Admin-ready overview · tier counts, domain priorities
⚠️
At-Risk Student Watchlist
Tier 3 declining students · urgent flags
✅
MOY Progress Tracking Sheet
Growth targets & trajectory for all students
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Accepts iReady Diagnostic Results export, MAP Score History, STAR Math, or any CSV with student names and scores
Supported column names
Student Namestudent_name, name, full_name
iReady Scorescale_score, iready_score, overall_score
Grade Levelgrade, grade_level
Class Periodperiod, class_period, section
State Testperformance_level, state_score, pl
Placementgrade_placement, placement_level
Session management
Number Sense
Fraction Operations: Adding & Subtracting Unlike Denominators
Students will add and subtract fractions with unlike denominators using visual fraction bars and the LCD method.
Lesson sequence
1
Warm-up (8 min): Order 3/4, 1/3, 5/6 on a number line — discuss strategies as a class.
2
Hook (5 min): Real-world context — splitting a pizza with different slice sizes. How do they combine?
3
Direct Instruction (12 min): Model finding LCD with factor trees. Think-aloud through 2 worked examples.
4
Guided Practice (10 min): Partner pairs solve 4 problems using fraction bar manipulatives.
5
Independent Practice (10 min): 6 problems, increasing complexity. Pull a small group while circulating.
6
Exit Ticket (5 min): 2 problems — one addition, one subtraction. Use for next-day grouping decisions.
Number Sense
Integer Operations: Multiplying & Dividing Negative Numbers
Students will apply sign rules for multiplying and dividing integers using real-world contexts.
Lesson sequence
1
Warm-up (7 min): Number talk — positive or negative? Show 3 expressions, students explain reasoning aloud.
2
Direct Instruction (13 min): Build sign rules conceptually from number line patterns, not memorization.
3
Guided Practice (12 min): Groups of 4 each own a quadrant of sign rules, create 2 examples to share out.
4
Game (10 min): Integer War card game — multiplication version. Highest product wins the round.
5
Closure (8 min): Always/Sometimes/Never statements about integer products — justify in writing.
Number Sense
Percent Problems: Finding the Whole, Part, and Rate
Students will solve all three forms of percent problems using proportional reasoning and the percent equation.
Lesson sequence
1
Warm-up (5 min): Mental math — 50%, 25%, 10% of benchmark numbers. Build fluency.
2
Direct Instruction (15 min): Introduce p/w = r/100. Demonstrate all 3 missing-variable cases with annotation.
3
Anchor Chart (5 min): Co-create "What am I looking for?" class reference chart.
4
Guided Practice (12 min): Think-Pair-Share on 4 mixed problem types with real contexts (tax, tip, discount).
5
Independent (10 min): 5 problems, students annotate what is missing before computing.
6
Exit Ticket (3 min): A shirt is $32 after a 20% discount. What was the original price?
Algebra
Solving One- and Two-Step Equations
Students will solve equations using inverse operations, emphasizing the balance model as conceptual foundation.
Lesson sequence
1
Warm-up (8 min): Balance puzzles — what weight makes the scale even? Visual entry point.
2
Direct Instruction (12 min): Connect balance metaphor to inverse operations. Annotate 3 worked examples.
3
Guided Practice (10 min): Equation Surgery — students identify which operation to undo first, justify in writing.
4
Stations (12 min): Visual model · equation solving · word problem translation. Rotate every 4 min.
5
Independent (5 min): 3 equations, must label each inverse operation step.
6
Exit Ticket (3 min): Solve 2x + 5 = 17. What does x represent in context?
Algebra
Writing & Evaluating Algebraic Expressions
Students will translate verbal phrases into algebraic expressions and evaluate for given variable values.
Lesson sequence
1
Warm-up (7 min): Math in language — identify the operation hidden in phrases like "more than," "product of."
2
Direct Instruction (10 min): Build expression translation chart with class. Practice 4 verbal → algebraic.
3
Activity (15 min): Card sort — match verbal phrases to expressions. Pairs justify matches.
4
Evaluation Practice (10 min): Substitute values and compute. Emphasize order of operations.
5
Writing (5 min): Students write own verbal phrase and exchange with partner to translate.
6
Exit Ticket (3 min): Translate "three less than twice a number" and evaluate for n = 7.
Algebra
Inequalities: Solving & Graphing on a Number Line
Students will solve one-step inequalities, graph solution sets, and interpret solutions in context.
Lesson sequence
1
Warm-up (6 min): Is x = 3 a solution to x + 4 > 6? Students justify. Discuss infinite solutions.
2
Direct Instruction (12 min): Compare equation vs. inequality solving. Introduce sign-flip rule with counterexample.
3
Modeling (8 min): Graph 4 inequalities — open/closed circle, shading direction. Highlight common errors.
4
Guided Practice (12 min): Partner A solves, Partner B writes a real-world context for the solution.
5
Independent (8 min): 4 inequalities, solve and graph. Identify the one requiring a sign flip.
6
Exit Ticket (4 min): Solve 2 − 3x ≤ 11, graph the solution, mark one solution and one non-solution.
Ratios & Proportions
Understanding Unit Rates & Proportional Relationships
Students will identify unit rates from tables, graphs, and equations, distinguishing proportional from non-proportional.
Lesson sequence
1
Warm-up (7 min): Which is the better deal? Two product comparisons — students compute and justify.
2
Direct Instruction (12 min): Define unit rate. Show same relationship as table, graph, equation, and context.
3
Investigation (15 min): Groups receive a mystery rate scenario and create all 4 representations. Gallery walk.
4
Discussion (8 min): What do proportional graphs always have in common? Where is the unit rate in each form?
5
Independent (5 min): Given a table, write the equation and unit rate. Does the graph pass through the origin?
6
Exit Ticket (3 min): A car travels 270 miles in 4.5 hours. Write the unit rate and equation.
Ratios & Proportions
Scale Drawings & Similar Figures
Students will interpret scale factors, use proportions to find missing measurements, and create scale drawings.
Lesson sequence
1
Hook (8 min): Show a blueprint or map. How do architects use math? Discuss scale factor as a ratio.
2
Direct Instruction (10 min): Set up proportions for missing dimensions. Work 2 examples as a class.
3
Activity (18 min): Choose a classroom object, measure it, create a scale drawing at 1:10.
4
Partner Check (7 min): Swap drawings. Partner verifies all dimensions using the scale factor.
5
Problem Solving (4 min): 2 scale problems with missing sides — set up proportion and solve.
6
Exit Ticket (3 min): A 24 ft × 18 ft room. Scale: 1 in = 6 ft. What are the drawing dimensions?
Statistics
Measures of Center & Variability
Students will calculate mean, median, mode, range, and MAD, and use these to compare two data sets.
Lesson sequence
1
Warm-up (5 min): Collect class pulse rate data live. What is a "typical" value for our class?
2
Direct Instruction (12 min): Calculate all five measures on class data. Distinguish what each tells us.
3
Guided Notes (8 min): When does median represent data better than mean? Explore outlier effects.
4
Comparison (15 min): Two sports players' season stats. Calculate both sets and write a claim.
5
Argument Writing (7 min): Which player would you draft? Use data to justify — structured paragraph.
6
Exit Ticket (3 min): Which measure of center best represents a data set with one extreme outlier? Explain.
Statistics
Data Displays: Box Plots & Histograms
Students will construct and interpret box plots and histograms, and choose appropriate displays for data.
Lesson sequence
1
Warm-up (6 min): Two displays of the same data. What does each tell you that the other does not?
2
Direct Instruction (14 min): Construct a box plot step-by-step. Identify the 5-number summary.
3
Guided Practice (10 min): Partner constructs histogram of the same data. Compare both displays.
4
Investigation (12 min): Four data scenarios — which display is better? Groups defend choices.
5
Independent (5 min): Interpret a box plot — identify median, IQR, outliers, skew direction.
6
Exit Ticket (3 min): Three true/false statements about a given box plot — justify each.
Geometry
Area of Composite Figures
Students will decompose composite figures into familiar shapes and calculate total area using area formulas.
Lesson sequence
1
Warm-up (7 min): Area formula relay — match shape to formula. Discuss where formulas come from.
2
Hook (5 min): Irregular floor plan of a room. How much flooring would you need to buy?
3
Direct Instruction (10 min): Decomposition strategy — draw the cuts, identify each shape, list formulas.
4
Guided Practice (12 min): 3 composite figures, increasing complexity. Students show decomposition lines.
5
Partner Problem (10 min): Design your own composite figure, compute the area, challenge a partner to verify.
6
Exit Ticket (6 min): L-shaped figure with given dimensions — find the area, show decomposition.
Geometry
Surface Area of 3D Figures Using Nets
Students will find the surface area of prisms and pyramids by constructing and reasoning from nets.
Lesson sequence
1
Warm-up (6 min): Fold/unfold a cereal box. How much cardboard is used? Connect to surface area.
2
Direct Instruction (12 min): Define net. Draw net of rectangular prism, label all faces with dimensions.
3
Activity (15 min): Students cut and fold nets to create 3D figures. Label all faces before folding.
4
Calculation (10 min): Use net to calculate surface area of their figure. Write the sum of all faces.
5
Challenge (4 min): Remove one face — what is the surface area now? (Open-top box problem.)
6
Exit Ticket (3 min): Net of a triangular prism with given dimensions — find total surface area.
Class median EOY
—
iReady scale score
Equity gap
—
Median − Q1 avg
Double-risk
—
T3 + declining trend
ELL students
—
Active EL learners
At-Risk Triage
T3 students · declining first · click row to open profile
ELL Languages
IEP Types
Period Equity Summary
Gap = median − Q1 avg · red >30 · yellow >20
| Pd | N | T3 | ↓ Risk | Median | Gap | ELL |
|---|
Domain Gap: T3 vs T1
Average mastery % by tier across all periods
Policy & Research Hub
Standards · assessments · MTSS policy · equity data · evidence base
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Evidence Base
Peer-reviewed research supporting Tier 2 & 3 math intervention · Grades 5–8
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