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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
Prediction Pros Exit Ticket

Prediction Pros Exit Ticket

Day 3 Exit Ticket. Improved contrast for "Gray" options, added multiple writing lines for explanations, and used break-inside-avoid for better printing.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Prediction Pros Worksheet

Prediction Pros Worksheet

Day 3 student worksheet for probability. Fixed answer choices in Problem 1 to include all colors, removed background glitches, and darkened explanation lines.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Prediction Pros Teacher Guide

Prediction Pros Teacher Guide

Teacher guide for Day 3 of the Data Detectives sequence. Fixed page break issue and added quick reference thumbnail for the teacher.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Coin Counters Exit Ticket

Coin Counters Exit Ticket

Day 2 Exit Ticket for the Candy Shop theme. Fixed theme mismatch, improved drawing area instructions, and corrected cent symbol rendering.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Coin Counters Worksheet

Coin Counters Worksheet

Day 2 student worksheet for identifying and counting pennies, nickels, and dimes. Fixed coin values from dollars to cents and corrected cent symbol rendering.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Coin Counters Teacher Guide

Coin Counters Teacher Guide

Teacher guide for Day 2 of the Data Detectives sequence. Fixed cent symbol rendering and page break layout.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Chart Champions Exit Ticket

Chart Champions Exit Ticket

Day 1 Exit Ticket assessing the ability to compare data and calculate totals from a simple bar graph.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Chart Champions Worksheet

Chart Champions Worksheet

Day 1 student worksheet for tally charts and bar graphs. Fixed bar graph scale, added Y-axis labels and a graph title. Optimized to fit on a single page.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Chart Champions Teacher Guide

Chart Champions Teacher Guide

Teacher guide for Day 1 of the Data Detectives sequence, covering tally charts and bar graphs with a full script and procedure. Adjusted for page break safety.

SM

Safiyyah Multani

Math Teacher
4/22
Material
Habitat Data Pack Worksheet

Habitat Data Pack Worksheet

A 3-page habitat data collection and analysis resource for first graders. includes a tally chart with icons, a bar graph, and interpretative questions where students can customize their own comparisons for "how many more" and "how many fewer".

KS

Kirston Sadler

Elementary Teacher
4/20
Material
Day 3 Answer Key

Day 3 Answer Key

Day 3 Answer Key for the Case Reopened session. Provides correct responses for the practice worksheet and exit ticket, focusing on evaluation and repair. Explicitly branded "Day 3".

MC

Melinda Cortez

Other
4/20
Material
Day 3 Exit Ticket

Day 3 Exit Ticket

Day 3 Exit Ticket for the Case Reopened lesson. Final progress monitoring check for evaluating and rewriting survey questions for goal alignment. Revised with print-safe page breaks and improved tally rendering. Bumbed font size and darkened labels. Improved writing space.

MC

Melinda Cortez

Other
4/20
Material
Day 3 Practice Worksheet

Day 3 Practice Worksheet

Day 3 Practice Worksheet for the Case Reopened session. Students evaluate survey misalignment and rewrite questions. Highly compacted layout with side-by-side containers to ensure it fits on a single letter-sized page (720x960 pixels). Revised with legible font sizes and optimized vertical space.

MC

Melinda Cortez

Other
4/20
Material
Day 3 Evidence Cards

Day 3 Evidence Cards

Day 3 Evidence Cards for the Case Reopened session. Printable visual aids with "Broken Survey" examples for evaluation practice. Explicitly branded "Day 3".

MC

Melinda Cortez

Other
4/20
Material
Day 3 Facilitation Guide

Day 3 Facilitation Guide

Day 3 Facilitation Guide for the Case Reopened session. Focuses on evaluating survey effectiveness and goal alignment. Explicitly branded "Day 3".

MC

Melinda Cortez

Other
4/20
Material
Day 2 Answer Key

Day 2 Answer Key

Day 2 Answer Key for the Variety Vault session. Provides correct responses for the practice worksheet and exit ticket, focusing on statistical variety. Explicitly branded "Day 2".

MC

Melinda Cortez

Other
4/20
Material
Day 2 Exit Ticket

Day 2 Exit Ticket

Day 2 Exit Ticket for the Variety Vault session. Assesses student ability to interpret data with variety and identify the underlying statistical question. Revised with print-safe page breaks and improved tally rendering. Darkened labels and corrected font sizing.

MC

Melinda Cortez

Other
4/20
Material
Day 2 Practice Worksheet

Day 2 Practice Worksheet

Day 2 Practice Worksheet for the Variety Vault session. Students analyze data sets for variety and identify statistical questions. Revised with print-safe page breaks, improved tally marks (|||| \), and darkened labels. Added a student work area.

MC

Melinda Cortez

Other
4/20
Material
Day 2 Sorting Cards

Day 2 Sorting Cards

Day 2 Sorting Cards for the Variety Vault session. Students sort questions into 'Fact' and 'Statistical' categories. Revised for explicit branding and visual uniformity.

MC

Melinda Cortez

Other
4/20
Material
Day 2 Facilitation Guide

Day 2 Facilitation Guide

Day 2 Facilitation Guide for the Variety Vault session. Focuses on teaching students to distinguish between statistical questions (variety) and fact-based questions (single answer). Explicitly branded "Day 2".

MC

Melinda Cortez

Other
4/20