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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
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
Level 1 Coin Counting Worksheet
Pocket Change Challenge 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
Lesson
Party Time Clocks Worksheet
Elapsed Time Quest Worksheet

Quest Timing 5-Minutes

Students will read analog clocks with full numbers to the hour, half-hour, and nearest 5 minutes based on a Valentine's Day party schedule.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Love Lines Measurement Worksheet
Ribbon Rescue Worksheet

Quest Measurement Lengths

Students will measure Valentine-themed objects to the nearest inch and centimeter and practice converting basic units of length for gift wrapping.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Candy Heart Count Worksheet
Sweet Heart Secrets Worksheet

Quest Data Graphing

Students will collect data from candy heart assortments, create bar graphs with multiple data sets, and interpret the results to solve comparison problems.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Cupid's Cafe Menu Worksheet
Pocket Change Challenge Worksheet

Quest Spending Budgeting

Students will practice identifying coins and bills, calculating the total cost of items from a cafe menu, and determining change for various purchases.

EE

Erin Esswein

Special Education Teacher
2/13
Lesson
Work Sample 1 Pets Bar Graph
Work Sample 2 Fruit Circle Graph
Work Sample 3 Ice Cream Bar Graph
Work Sample 4 Lunch Circle Graph
Work Sample 5 Sports Bar Graph
Work Sample 6 Color Circle Graph
Work Sample 7 Books Bar Graph
Work Sample 8 Subject Circle Graph
Work Sample 9 Weather Bar Graph
Work Sample 10 Chores Circle Graph

Data Detective Lab

A collection of 10 distinct data analysis work samples featuring bar and circle graphs, designed for MCAS Alt portfolio evidence. Each sample focuses on identifying key information, making comparisons, and calculating totals.

EE

Erin Esswein

Special Education Teacher
2/1
Lesson
Tally Teacher Guide
Tally Sticks Slides
Tally Tracker Worksheet

Tally Time

A Kindergarten to 1st Grade introduction to tally marks, focusing on the concept of bundling groups of five to count data efficiently. The lesson includes a video-guided observation activity, hands-on stick bundling, and a dice-rolling tally game.

Lenny Avatar
Lenny
1/19
Lesson
Chance Champions Teacher Guide
Chance Champions Slides
Mystery Bag Tally Sheet

Predicting the Future

Students explore the basics of likelihood through a guided video and a hands-on mystery bag activity.

Lenny Avatar
Lenny
1/19
Lesson
Park Planner Project Packet
Park Planner Rubric

Park Planner Pro

Students apply their skills to a playground equipment preference case study, writing a data-backed recommendation for school purchases.

Lenny Avatar
Lenny
1/17
Lesson
Less than Least Slides
Gap Finder Worksheet

Less than Least

Students tackle 'how many fewer' or 'how many less' questions by interpreting visual gaps in bar graphs and writing corresponding subtraction equations.

Lenny Avatar
Lenny
1/17
Lesson
More than Most Slides
How Many More Comparison Cards

More than Most

Focuses on the concept of comparison, using matching strategies and subtraction to determine 'how many more' are in one category compared to another.

Lenny Avatar
Lenny
1/17
Lesson
Plus One Data Slides
Total Tracker Worksheet

Plus One Data

Students use data displays to solve addition word problems by combining categories and finding totals across different data points.

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Lenny
1/17
Lesson
Graph Spotters Slides
Graph Bingo Cards
Graph Spotters Teacher Guide

Graph Spotters

Students practice extracting direct information from completed bar graphs and pictographs to identify totals and compare categories.

Lenny Avatar
Lenny
1/17