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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
Material
Vocab Victory Teacher Guide

Vocab Victory Teacher Guide

An expanded teacher guide for the math vocabulary game, now including 5 questions per category (total 30 questions) with simplified answer keys and facilitation tips for harder items.

SF

Siobhan Foley

Elementary Teacher
4/29
Material
Vocab Victory Slides

Vocab Victory Slides

An expanded slide deck for the math vocabulary game, now featuring 30 questions covering multiplication, geometry, division, fractions, measurement, and data in a Jeopardy-style format.

SF

Siobhan Foley

Elementary Teacher
4/29
Material
折れ線グラフと混合分数 スライド

折れ線グラフと混合分数 スライド

Measurement Unit Slides - Lessons 3 & 4: Mixed Fractions and Line Plots. Recreated and translated into Japanese with advanced instructional visuals, worm and leaf data examples, and rigorous synthesis prompts. Revisions made for page breaks and math rendering. Fixed 'X' alignment on plots and matched cool-down options. Fixed comma alignment and dark blue highlights.

DG

Dan Gendo

Special Education Teacher
4/28
Material
インチの4分の1 測定スライド

インチの4分の1 測定スライド

Measurement Unit Slides - Lesson 2: Inch Fourths. Recreated and translated into Japanese with professional instructional design, clear visuals of rulers, and interactive-style prompts. Revisions made for page breaks and math rendering. Fixed wrapping for 'inches'. Fixed paperclip alignment and ruler consistency. Improved mixed number visualization.

DG

Dan Gendo

Special Education Teacher
4/28
Material
インチの半分 測定スライド

インチの半分 測定スライド

Measurement Unit Slides - Lesson 1: Inch Halves. Recreated and translated into Japanese with clean visuals, clear diagrams, and appropriate pedagogical structure. Revisions made for page breaks and math rendering. Fixed ruler zero positioning. Fixed eraser width to 1.5 units and improved layout. Corrected fraction terminology.

DG

Dan Gendo

Special Education Teacher
4/28
Material
Home Run Homework

Home Run Homework

Day 2 homework assignment where students convert tally marks into numerical data and complete a partially constructed bar graph. Includes a reflection question on data-driven decision making.

EG

Elva Garcia

General Education Teacher
4/27
Material
Spring Sport Survey Worksheet

Spring Sport Survey Worksheet

A worksheet for Day 2 where students conduct a class survey, tally the results, and construct their own bar graph from scratch. Includes a checklist for essential graph components.

EG

Elva Garcia

General Education Teacher
4/27
Material
Foldable Field Activity

Foldable Field Activity

A creative spring-themed foldable craft for the interactive notebook. Includes pop-up bar graph elements stylized as sports equipment and a garden-themed background for mounting.

EG

Elva Garcia

General Education Teacher
4/27
Material
Building Box Score Slides

Building Box Score Slides

Instructional slides for Day 2: Building the Box Score. Guides students through the process of surveying classmates, tallying data, and constructing their own bar graphs, ending with instructions for a spring-themed craft.

EG

Elva Garcia

General Education Teacher
4/27
Material
Practice Pitch Homework

Practice Pitch Homework

Day 1 homework assignment featuring a bar graph analysis task with a scale of 2. Includes questions on data interpretation, comparison, and a challenge problem.

EG

Elva Garcia

General Education Teacher
4/27
Material
Data Detective Handout

Data Detective Handout

Interactive notebook guided notes and a data analysis worksheet focused on interpreting a spring-themed bar graph. Includes fill-in-the-blank terminology and comparative questions.

EG

Elva Garcia

General Education Teacher
4/27
Material
Analyzing Action Slides

Analyzing Action Slides

Instructional slides for Day 1: Analyzing Action. Covers the anatomy of a bar graph, understanding scales and intervals, and comparative data analysis.

EG

Elva Garcia

General Education Teacher
4/27
Material
Measurement Unit Answer Key

Measurement Unit Answer Key

Comprehensive answer key for the unit. Revised for clarity, correct data references, and page break efficiency.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Data Mastery Worksheets

Data Mastery Worksheets

Handouts for Lessons 3 and 4. Revised to keep Activity 4 on one page, fix wrapping, and improve work area visibility.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Measurement Unit Slides Part 4

Measurement Unit Slides Part 4

Bilingual slides for Lesson 4 (Interpreting Line Plots). Focuses on analyzing data representations, identifying differences between lists and plots, and verifying statements based on data. Revised for populated data and alignment.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Measurement Unit Slides Part 3

Measurement Unit Slides Part 3

Bilingual slides for Lesson 3 (Equivalence and Mixed Numbers). Explores recording lengths in multiple ways and visualizing mixed number partitioning. Revised for ruler accuracy and visible diagrams.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Measurement Unit Slides Part 2

Measurement Unit Slides Part 2

Bilingual slides for Lesson 2 (Measuring in Fourths). Includes estimation exploration, partitioning activities, and a cool-down involving choosing the right tool for precision. Revised for ruler accuracy and alignment.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Measurement Recording Sheets

Measurement Recording Sheets

Recording sheets for measuring activities in Lessons 1 and 2. Bilingual format. Revised to prevent table splits and improve name/date formatting.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Measurement Unit Slides Part 1

Measurement Unit Slides Part 1

Bilingual slide deck for the Measurement unit, covering Unit Goals, Rubric, and Lesson 1 (Measuring in Halves). Includes specific terminology in both English and Japanese. Revised for ruler accuracy and alignment.

DG

Dan Gendo

Special Education Teacher
4/27
Material
Blueprint Field Notes

Blueprint Field Notes

Guided field notes for students to accompany the Measurement Blueprint lesson, featuring sections for the I Do, We Do, and You Do instructional phases. Optimized for handwriting with a light theme for high-quality printing. Fixed page breaks and visual aid alignment. Section D has been consolidated and Section B includes an accurate modeling plot. Section A alignment issue with input boxes has been resolved. Optimized to fit on exactly two pages.

KB

Krista Bodkin

Math Teacher
4/24