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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.

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
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.
Material
Data Detectives Teacher Guide

Data Detectives Teacher Guide

A comprehensive instructional guide for teachers to facilitate the Data Detectives lesson, including pacing, questioning prompts, and differentiation strategies.

Lenny Avatar
Lenny
2/27
Material
Case File Worksheet

Case File Worksheet

A student data collection worksheet designed as a detective case file, allowing students to conduct a survey, tally results, and create their own graph.

Lenny Avatar
Lenny
2/27
Material
Data Detectives Slides

Data Detectives Slides

A visual presentation for introducing bar graphs, pictographs, and line plots with a 'Data Detectives' theme, featuring clear examples and analysis questions.

Lenny Avatar
Lenny
2/27
Material
Data Detectives Answer Key

Data Detectives Answer Key

A clear and concise answer key for the Data Detectives worksheet. Includes step-by-step math for pictograph and line plot questions, and a quick scoring guide for teachers.

Lenny Avatar
Lenny
2/27
Material
Data Detectives Teacher Guide

Data Detectives Teacher Guide

A comprehensive teacher guide for the Data Detectives lesson. Includes learning objectives, Common Core alignment, a detailed lesson sequence, differentiation strategies, and tips for addressing common misconceptions.

Lenny Avatar
Lenny
2/27
Material
Data Detectives Activity

Data Detectives Activity

A student-led data collection and graphing activity. Students plan an investigation question, collect tally data from peers, choose a graph type to represent their findings, and write a summary of their results.

Lenny Avatar
Lenny
2/27
Material
Data Detectives Worksheet

Data Detectives Worksheet

A 3-page practice worksheet where students analyze three different data mysteries: a pictograph of fruit sales, a bar graph of vacation spots, and a line plot of library book checkouts. Features clear visuals and plenty of writing space for answers.

Lenny Avatar
Lenny
2/27
Material
Data Detectives Slides

Data Detectives Slides

A vibrant instructional slide deck for grades 3-5 on data analysis. It covers pictographs, bar graphs, and line plots with clear visuals, detective-themed tips, and guiding questions for interpretation.

Lenny Avatar
Lenny
2/27
Material
Bug Collection Homework Answer Key

Bug Collection Homework Answer Key

Answer key for the Bug Collection Homework Worksheet, featuring a completed line plot and worked-out solutions for all fraction addition and subtraction problems.

IW

ISABELLE WOOLSEY

Elementary Teacher
2/19
Material
Bug Collection Homework Worksheet

Bug Collection Homework Worksheet

A homework worksheet for 4th-grade math that focuses on creating line plots with eighths and solving addition and subtraction problems using fraction data. This version uses different data points than the classroom version.

IW

ISABELLE WOOLSEY

Elementary Teacher
2/19
Material
Bug Lab Teacher Guide

Bug Lab Teacher Guide

Facilitation guide for teachers to deliver the Bug Measure Math lesson. Includes key vocabulary, common misconceptions, pacing suggestions, and questioning strategies.

IW

ISABELLE WOOLSEY

Elementary Teacher
2/19
Material
Bug Lab Slides

Bug Lab Slides

A visual presentation to introduce 4th-grade students to line plots with fractions. Includes vocabulary, step-by-step plotting instructions, and examples of addition and subtraction using fraction data.

IW

ISABELLE WOOLSEY

Elementary Teacher
2/19
Material
Bug Collection Answer Key

Bug Collection Answer Key

Answer key for the Bug Collection Worksheet, featuring a completed line plot and worked-out solutions for all fraction addition and subtraction problems.

IW

ISABELLE WOOLSEY

Elementary Teacher
2/19
Material
Bug Collection Worksheet

Bug Collection Worksheet

A student worksheet for 4th-grade math that focuses on creating line plots with eighths and solving addition and subtraction problems using fraction data. The theme is a 'Field Journal' for bug measurements.

IW

ISABELLE WOOLSEY

Elementary Teacher
2/19
Material
Exit Ticket Answer Key

Exit Ticket Answer Key

Teacher answer key for the Data Drafting Exit Ticket, providing solutions and mathematical proofs for the Mild, Medium, and Spicy levels.

C

cbritton

Elementary Teacher
2/18
Material
Data Drafting Slides

Data Drafting Slides

A visual slide deck for the Data Drafting lesson, following the Building Thinking Classrooms framework. Includes thin-sliced tasks, a hook, and a consolidation guide with a professional drafting aesthetic. All text is sized for maximum visibility (minimum 24px).

C

cbritton

Elementary Teacher
2/18
Material
Master Drafter Worksheet

Master Drafter Worksheet

A third worksheet in the series focusing on mixed numbers (halves, fourths, eighths) and comparative data analysis. Features a sophisticated professional drafting aesthetic.

C

cbritton

Elementary Teacher
2/18
Material
Precision Plots Worksheet

Precision Plots Worksheet

A second worksheet in the series focusing on eighth-inch measurements and data analysis. Features a high-precision drafting aesthetic with grid lines and technical callouts.

C

cbritton

Elementary Teacher
2/18
Material
Blueprint Basics Worksheet

Blueprint Basics Worksheet

A foundational worksheet for 4th-grade students focusing on plotting and reading line plots with halves and fourths. Features a clean architectural "blueprint" aesthetic.

C

cbritton

Elementary Teacher
2/18
Material
Spicy Data Challenges Document

Spicy Data Challenges Document

A set of four advanced "spicy" challenge problems for 4th-grade students, focusing on complex operations, data set design, and multi-step reasoning with line plots and fractions.

C

cbritton

Elementary Teacher
2/18