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Statistics & Probability

SequencesLessonsMaterialsVideos
  1. Math

Statistics & Probability

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Data representation, distributions, and statistical variability using sampling and inference techniques. Integrates probability models, compound events, bivariate patterns, and linear models to guide data-driven decision making.

Represent and Interpret DataCategorical and numerical data organization using tally charts, pictographs, and bar graphs. Focuses on interpreting visual displays to solve comparison problems and summarize data sets.
MathNumbers & CountingCounting ObjectsNumber NamesComparing NumbersNumber OperationsCounting SequenceNumbers 0-10Place Value Understanding and SystemAdd and Subtract Within 20Addition and Subtraction ConceptsAddition and Subtraction EquationsAddition and Subtraction ProblemsFoundations for MultiplicationMultiplication and Division PropertiesMultiply and Divide Within 100Multiplication and Division ProblemsFactors and MultiplesProperties of OperationsPatterns and RelationshipsGenerate and Analyze PatternsMulti-Digit ArithmeticPlace Value OperationsMulti-Digit and Decimal OperationsNumerical ExpressionsFour Operations and PatternsFour Operations Problem SolvingMeasurement & DataMeasurable AttributesMeasuring LengthsMeasure and Estimate Lengths in Standard UnitsRelate Addition and Subtraction to LengthClassifying and Counting ObjectsTime and MoneyArea Concepts and MeasurementPerimeter and Area MeasuresAngle Concepts and MeasurementTime, Volume, and MassMeasurement Unit ConversionsGeometryIdentifying ShapesShapes and AttributesShape Attributes and ReasoningShapes and CompositionClassifying 2D FiguresGeometric Figures and RelationshipsLines, Angles, and ShapesAngle, Area, and VolumeGeometric MeasurementVolume of 3D ShapesCoordinate Plane ApplicationsTransformations in the PlaneCongruence and SimilarityUnderstand congruence in terms of rigid motionsSimilarity and TransformationsProve Theorems Involving SimilarityPythagorean TheoremTrigonometry for General TrianglesMake Geometric ConstructionsProve Geometric TheoremsTheorems About CirclesFind Arc Lengths And Areas of Sectors of CirclesVolume FormulasRelationships Between Two-Dimensional and Three-Dimensional ObjectsProve Simple Geometric Theorems AlgebraicallyTranslate Between Geometric Description and Equation for Conic SectionApply Geometric Concepts in Modeling SituationsFractions & DecimalsFractions as NumbersBuilding FractionsFraction Equivalence and OrderingAdding and Subtracting FractionsMultiplying and Dividing FractionsDividing FractionsDecimal FractionsMulti-Digit Computation and FactorsAdd, Subtract, Multiply, and Divide Rational NumbersRational Number SystemIrrational Numbers and ApproximationsRatiosRatios and ProportionsProportional RelationshipsUnit RateAlgebraAlgebraic ExpressionsGenerate Equivalent ExpressionsQuantitative RelationshipsProportional Relationships and Linear EquationsEquations and InequalitiesEquation Solving and ReasoningLinear Equations and SystemsGraph Equations and InequalitiesSystems of EquationsReal-World Algebraic ProblemsQuantitative Reasoning with UnitsExpression StructureEquivalent Expression FormsRadicals and Integer ExponentsRational ExponentsRational and Irrational NumbersPolynomial OperationsPolynomial IdentitiesPolynomial Zeros and FactorsRational ExpressionsComplex Number OperationsComplex Numbers in PolynomialsComplex Numbers on PlaneStatistics & ProbabilityRepresent and Interpret DataData DistributionsStatistical VariabilityProbability ModelsCompound Event ProbabilitiesStatistical SamplingInterpret Categorical and Quantitative DataBivariate Data PatternsInterpret Linear ModelsComparing Two PopulationsRandom Processes in StatisticsIndependence and Conditional ProbabilityExpected ValuesProbability-Based Decision MakingStatistical Inference and ConclusionsFunctionsFunction Concepts and NotationDefine and Compare FunctionsInterpret Functions in ContextAnalyze Function RepresentationsModel Relationships with FunctionsIdentify Linear vs Exponential GrowthDistinguish Between Function TypesCompare Growth RatesInterpret Function ExpressionsBuild Functions from RelationshipsConstruct and Model FunctionsTransform and Combine FunctionsModel Comparison and SelectionSolve Exponential EquationsTrigonometryTrigonometric Ratios Involving Right TrianglesTrigonometric Functions and Unit CircleModel with Trigonometric FunctionsTrigonometric IdentitiesVectors & MatricesIntroduction to Vectors and MatricesVector QuantitiesVector OperationsMatrix OperationsCalculusLimits and ContinuityDerivative Concepts and NotationDerivative Rules and TechniquesApplications of DerivativesOptimization ProblemsRelated RatesCurve Sketching and AnalysisIntegration Concepts and NotationAntiderivatives and Indefinite IntegralsDefinite Integrals and AreaFundamental Theorem of CalculusIntegration TechniquesApplications of IntegrationDifferential EquationsSequences and SeriesParametric and Polar FunctionsVector-Valued Functions
Lesson
Prediction Pros Teacher Guide
Prediction Pros Worksheet
Prediction Pros Exit Ticket

Prediction Pros

Day 3 covers probability and predictions, teaching students to identify 'more likely' and 'least likely' outcomes based on visual data.

SM

Safiyyah Multani

Math Teacher
4/22
Lesson
Coin Counters Teacher Guide
Coin Counters Worksheet
Coin Counters Exit Ticket

Coin Counters

Day 2 introduces pennies, nickels, and dimes, focusing on identifying values, using the cents symbol, and counting mixed coin groups.

SM

Safiyyah Multani

Math Teacher
4/22
Lesson
Chart Champions Teacher Guide
Chart Champions Worksheet
Chart Champions Exit Ticket

Chart Champions

Day 1 focuses on tally charts and bar graphs, emphasizing calculating sums and differences to compare data points.

SM

Safiyyah Multani

Math Teacher
4/22
Lesson
Habitat Data Pack Worksheet

Habitat Pollsters

A hands-on data collection and analysis lesson where first graders poll their classmates on favorite habitats, then graph and interpret the results.

KS

Kirston Sadler

Elementary Teacher
4/20
Lesson
Day 3 Facilitation Guide
Day 3 Evidence Cards
Day 3 Practice Worksheet
Day 3 Exit Ticket
Day 3 Answer Key

Case Reopened

The final mission where students evaluate the effectiveness of data collection. They analyze "broken" surveys where the question didn't match the goal and practice rewriting them for accuracy.

MC

Melinda Cortez

Other
4/20
Lesson
Day 2 Facilitation Guide
Day 2 Sorting Cards
Day 2 Practice Worksheet
Day 2 Exit Ticket
Day 2 Answer Key

The Variety Vault

Focuses on differentiating between statistical and non-statistical questions. Students learn that a good survey question must expect a variety of answers to be useful for data collection.

MC

Melinda Cortez

Other
4/20
Lesson
Day 1 Facilitation Guide
Day 1 Practice Worksheet
Day 1 Exit Ticket
Day 1 Answer Key
Day 1 Evidence Cards

Data Detectives

A 25-minute small group lesson designed to move students from RIT 171-180 to 181-190 by shifting from basic data interpretation to formulating and selecting effective statistical questions.

MC

Melinda Cortez

Other
4/20
Lesson
Mountain Ascent Assessment
Ascent Answer Guide
Mountain Ascent Assessment
Ascent Answer Guide
Mountain Ascent Assessment
Ascent Answer Guide
Mountain Ascent Assessment
Mountain Ascent Assessment
Mountain Ascent Assessment
Ascent Answer Guide

Math Mastery Benchmark

A comprehensive math benchmark assessment covering key standards from Grade 1 through Grade 6, designed to track student progress and identify skill gaps.

EN

emily niehaus

School Administrator
4/16
Lesson
Math Scout Checklist Document
Math Scout Assessment Document
Math Scout Key Document

Math Scout Quest

A comprehensive tracking resource for Kindergarten students aiming for advanced NWEA MAP RIT scores in mathematics, covering all key domains.

L

llocascio

Math Teacher
4/9
Lesson
Skyline Subtraction Worksheet A
Skyline Subtraction Worksheet B
Skyline Subtraction Worksheet C
Subtraction PreTest Worksheet
Subtraction PreTest Answer Key

Skyline Subtraction Practice

A series of practice worksheets focused on three-digit subtraction without regrouping, featuring a visual number line to assist with mental math and place value visualization.

TL

Tanya Larson

Other
3/20
Lesson
Math Milestone Student Assessment Grade 2
Math Milestone Grade 2 Answer Key
Math Milestone Student Assessment Grade 2 Updated
Digit Dash Addition Worksheet
Digit Dash Addition Worksheet Updated
Digit Dash Addition Worksheet Updated Final
Digit Dash Addition Worksheet Updated Final Final
Digit Dash Addition Worksheet Final Refined
Digit Dash Addition Worksheet Set B
Digit Dash Addition Worksheet Set C
Digit Dash Addition Worksheet Set D
Addition PreTest Worksheet
Addition PreTest Answer Key
Digit Dash Addition Worksheet Set E

Second Grade Finale Assessment

A comprehensive end-of-year assessment for second-grade students, covering all Massachusetts Mathematics Curriculum Framework standards including Operations and Algebraic Thinking, Number and Operations in Base Ten, Measurement and Data, and Geometry.

TL

Tanya Larson

Other
3/20
Lesson
Math Milestone Student Assessment
Math Milestone Student Assessment Updated
Math Milestone Answer Key

First Grade Finale Assessment

A comprehensive end-of-year assessment for first-grade students, covering all Massachusetts Mathematics Curriculum Framework standards including Operations and Algebraic Thinking, Number and Operations in Base Ten, Measurement and Data, and Geometry.

TL

Tanya Larson

Other
3/20
Lesson
Level 1 Packet Resources

Level 1 Teacher Vault

Teacher overview and answer keys for the Level 1 Valentine's Day math packet.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Level 1 Logic Stories Worksheet

Level 1 Logic Stories

Students will solve one-step addition and subtraction word problems within 20 with a Valentine's Day theme.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Level 1 Clocks Worksheet
Level 1 Elapsed Time Worksheet

Level 1 Timing Hour

Students will practice reading and drawing analog clocks to the nearest hour and half-hour with a high school schedule theme.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Level 1 Measurement Worksheet

Level 1 Measurement Lengths

Students will measure Valentine-themed objects to the nearest whole inch and compare lengths using terms like longer and shorter.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Level 1 Heart Graphing Worksheet

Level 1 Data Graphing

Students will sort candy heart colors, create simple tally charts, and build basic bar graphs with a 1:1 scale.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Level 1 Sweet Shop Menu Worksheet
Pocket Change Challenge Worksheet
Level 1 Coin Counting Worksheet
Level 1 Pocket Change Worksheet
Level 1 Sweet Shop Menu Worksheet

Level 1 Spending Budgeting

Students will practice identifying single coins, calculating costs with whole numbers, and buying items from a Level 1 sweet shop menu.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Cupid's Quest Teacher Guide
Cupid's Quest Answer Key

Quest Teacher Vault

Teacher overview and answer keys for the Quest Valentine's Day math packet.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Sweetness Solvers Worksheet
Chocolate Factory Challenge Worksheet

Quest Logic Stories

Students will solve a variety of one-step and multi-step math word problems involving all four operations with a Valentine's Day theme.

EE

Erin Esswein

Special Education Teacher
2/13