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Numbers & Counting

SequencesLessonsMaterialsVideos
  1. Math

Numbers & Counting

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

One-to-one correspondence, numeral identification, and comparison of quantities using terms like greater than or less than. Establishes the foundation for numerical literacy and early arithmetic operations.

Number NamesIdentification and spelling of number words from zero through millions. Connects numerical symbols to their written linguistic representations to strengthen mathematical literacy.
Comparing NumbersMathematical symbols including greater than (>), less than (<), and equal to (=) to evaluate numerical relationships. Builds fluency in ordering sets and comparing quantities from single digits to multi-digit integers.
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
Progress Monitoring Log Tracker

Progress Monitoring Log Tracker

A teacher-facing data tracking tool for monitoring student progress across core number sense domains. Features a skills matrix, weekly intervention log, and space for anecdotal transfer notes.

NC

Nicole Camp

Psychologist
3/4
Material
Magnitude Comparison Lab Worksheet

Magnitude Comparison Lab Worksheet

A magnitude comparison worksheet for practicing "greater than," "less than," and "equal to" with numbers up to 100. Includes large visual aids and clear instructions for students with significant number sense deficits.

NC

Nicole Camp

Psychologist
3/4
Material
Place Value Blueprint Anchor Chart

Place Value Blueprint Anchor Chart

An anchor chart for place value up to 100, visually demonstrating how tens and ones are built using base-ten block representations and a place value chart.

NC

Nicole Camp

Psychologist
3/4
Material
Ten Frame Fact Practice Worksheet

Ten Frame Fact Practice Worksheet

A practice worksheet focusing on "making ten" using visual ten-frames. This supports basic fact fluency and number composition within 20 for students with significant gaps.

NC

Nicole Camp

Psychologist
3/4
Material
Decomposition Anchor Chart

Decomposition Anchor Chart

A high-contrast visual anchor chart explaining the concepts of composing and decomposing numbers, with a specific focus on making tens and the part-part-whole relationship.

NC

Nicole Camp

Psychologist
3/4
Material
Quantity Counting Lab Worksheet

Quantity Counting Lab Worksheet

A student-facing worksheet for practicing 1:1 correspondence and number identification. Features a clear "Look-Count-Write" example and large, uncluttered workspaces for students with significant number sense gaps.

NC

Nicole Camp

Psychologist
3/4
Material
Foundations Teacher Script

Foundations Teacher Script

A detailed teacher guide for Lesson 1, featuring explicit instructional scripts, CRA strategies, and scaffolding prompts for students struggling with number sense foundations.

NC

Nicole Camp

Psychologist
3/4
Material
Money Master Answer Key

Money Master Answer Key

A complete answer key covering the Cashier Challenge Worksheet, Change Maker Task Cards, and Market Math Quiz.

RJ

Ruth Jenkins-Ellis

Special Education Teacher
3/3
Material
Market Math Quiz

Market Math Quiz

A comprehensive quiz covering currency identification, totaling amounts, and a complex making-change scenario up to $10.

RJ

Ruth Jenkins-Ellis

Special Education Teacher
3/3
Material
Change Maker Task Cards

Change Maker Task Cards

A set of 8 marketplace-themed task cards for practicing calculating change from $1, $5, and $10 bills.

RJ

Ruth Jenkins-Ellis

Special Education Teacher
3/3
Material
Cashier Challenge Worksheet

Cashier Challenge Worksheet

A foundational worksheet for identifying US currency values and calculating simple totals and change from purchases.

RJ

Ruth Jenkins-Ellis

Special Education Teacher
3/3
Material
Money Master Slides

Money Master Slides

An introductory slide deck presenting US currency identification and the core concept of making change up to $10.

RJ

Ruth Jenkins-Ellis

Special Education Teacher
3/3
Material
Warm Up 6 Choral Back 5s

Warm Up 6 Choral Back 5s

Warm-up choral count focusing on counting backwards by 5s from 50 with an Olympic training camp theme.

T

tmatthews

Math Teacher
2/25
Material
Warm Up 5 Choral Back 10s

Warm Up 5 Choral Back 10s

Warm-up choral count focusing on counting backwards by 10s from 100 with an Olympic training camp theme.

T

tmatthews

Math Teacher
2/25
Material
Warm Up 4 Choral 10s NonZero

Warm Up 4 Choral 10s NonZero

Warm-up choral count focusing on skip-counting by 10s starting from 3 with an Olympic training camp theme.

T

tmatthews

Math Teacher
2/25
Material
Warm Up 3 Choral 2s

Warm Up 3 Choral 2s

Warm-up choral count focusing on skip-counting by 2s to 20 with an Olympic training camp theme.

T

tmatthews

Math Teacher
2/25
Material
Warm Up 2 Choral 5s

Warm Up 2 Choral 5s

Warm-up choral count focusing on skip-counting by 5s to 50 with an Olympic training camp theme.

T

tmatthews

Math Teacher
2/25
Material
Warm Up 1 Choral 10s

Warm Up 1 Choral 10s

Warm-up choral count focusing on skip-counting by 10s to 100 with an Olympic training camp theme.

T

tmatthews

Math Teacher
2/25
Material
Olympic Final Reflection Sheet

Olympic Final Reflection Sheet

A final reflection exit ticket for Lesson 16 where students identify their favorite subtraction strategy and explain their reasoning, concluding the 16-lesson unit. Fixed equal sign formatting and single-page layout.

T

tmatthews

Math Teacher
2/25
Material
Olympic Final Assessment Sheet

Olympic Final Assessment Sheet

A robustness 1-page unit assessment covering all subtraction strategies. Includes fluency, strategy choice, and technical application problems with an Olympic theme. Removed page breaks and finished the work areas. Added more problems for Round 1 and Round 4.

T

tmatthews

Math Teacher
2/25
Material
Progress Monitoring Log Tracker

Progress Monitoring Log Tracker

A teacher-facing data tracking tool for monitoring student progress across core number sense domains. Features a skills matrix, weekly intervention log, and space for anecdotal transfer notes.

NC

Nicole Camp

Psychologist
3/4
Material
Magnitude Comparison Lab Worksheet

Magnitude Comparison Lab Worksheet

A magnitude comparison worksheet for practicing "greater than," "less than," and "equal to" with numbers up to 100. Includes large visual aids and clear instructions for students with significant number sense deficits.

NC

Nicole Camp

Psychologist
3/4
Material
Place Value Blueprint Anchor Chart

Place Value Blueprint Anchor Chart

An anchor chart for place value up to 100, visually demonstrating how tens and ones are built using base-ten block representations and a place value chart.

NC

Nicole Camp

Psychologist
3/4
Material
Ten Frame Fact Practice Worksheet

Ten Frame Fact Practice Worksheet

A practice worksheet focusing on "making ten" using visual ten-frames. This supports basic fact fluency and number composition within 20 for students with significant gaps.

NC

Nicole Camp

Psychologist
3/4
Material
Decomposition Anchor Chart

Decomposition Anchor Chart

A high-contrast visual anchor chart explaining the concepts of composing and decomposing numbers, with a specific focus on making tens and the part-part-whole relationship.

NC

Nicole Camp

Psychologist
3/4
Material
Quantity Counting Lab Worksheet

Quantity Counting Lab Worksheet

A student-facing worksheet for practicing 1:1 correspondence and number identification. Features a clear "Look-Count-Write" example and large, uncluttered workspaces for students with significant number sense gaps.

NC

Nicole Camp

Psychologist
3/4
Material
Foundations Teacher Script

Foundations Teacher Script

A detailed teacher guide for Lesson 1, featuring explicit instructional scripts, CRA strategies, and scaffolding prompts for students struggling with number sense foundations.

NC

Nicole Camp

Psychologist
3/4
Material
Class Gap Tracking Chart Document

Class Gap Tracking Chart Document

A class-wide data tracking chart designed for teachers to record diagnostic results across all domains for grades 2-5, helping to visualize instructional groups and skill gaps.

MC

Mary Clark

Other
3/3
Material
Diagnostic Scoring Keys Teacher Guide

Diagnostic Scoring Keys Teacher Guide

A comprehensive answer key and scoring guide for the Grade 2-5 math diagnostic assessments. Includes specific answers and helpful hints for interpreting student results.

MC

Mary Clark

Other
3/3
Material
Grade 5 Math Diagnostic Worksheet

Grade 5 Math Diagnostic Worksheet

A 5th-grade diagnostic assessment covering powers of 10, decimal operations, multi-digit division, and adding/subtracting fractions with unlike denominators. Aligned to Iowa Core standards.

MC

Mary Clark

Other
3/3
Material
Grade 4 Math Diagnostic Worksheet

Grade 4 Math Diagnostic Worksheet

A 4th-grade diagnostic assessment targeting multi-digit multiplication and division, place value to 1,000,000, fraction equivalence, and decimal comparisons. Aligned to Iowa Core standards.

MC

Mary Clark

Other
3/3
Material
Grade 3 Math Diagnostic Worksheet

Grade 3 Math Diagnostic Worksheet

A 3rd-grade diagnostic assessment covering rounding, multi-digit arithmetic, multiplication and division concepts, and introductory fraction number line and visual models. Aligned to Iowa Core standards.

MC

Mary Clark

Other
3/3
Material
Grade 2 Math Diagnostic Worksheet

Grade 2 Math Diagnostic Worksheet

A short 2nd-grade diagnostic assessment covering place value to 1,000, multi-digit addition and subtraction, two-step word problems, and early multiplication/fraction foundations. Aligned to Iowa Core standards.

MC

Mary Clark

Other
3/3
Material
Number Navigator Progress Tracker

Number Navigator Progress Tracker

A tracking document for teachers to record probe scores, calculate percentages, and visually map student progress toward a 10/12 correct goal.

MC

Mary Clark

Other
3/3
Material
Number Navigator Answer Key

Number Navigator Answer Key

A complete answer key for the nine Number Navigator math probes, providing quick reference for all computation and word problems.

MC

Mary Clark

Other
3/3
Material
Number Navigator Probe 09

Number Navigator Probe 09

The ninth in a series of 9 math probes, featuring 12 problems that blend number sense and fraction skills. It includes a mix of computation and word problems suitable for 2nd and 3rd-grade level progress monitoring.

MC

Mary Clark

Other
3/3
Material
Number Navigator Probe 08

Number Navigator Probe 08

The eighth in a series of 9 math probes, featuring 12 problems that blend number sense and fraction skills. It includes a mix of computation and word problems suitable for 2nd and 3rd-grade level progress monitoring.

MC

Mary Clark

Other
3/3
Material
Number Navigator Probe 07

Number Navigator Probe 07

The seventh in a series of 9 math probes, featuring 12 problems that blend number sense and fraction skills. It includes a mix of computation and word problems suitable for 2nd and 3rd-grade level progress monitoring.

MC

Mary Clark

Other
3/3
Material
Number Navigator Probe 06

Number Navigator Probe 06

The sixth in a series of 9 math probes, featuring 12 problems that blend number sense and fraction skills. It includes a mix of computation and word problems suitable for 2nd and 3rd-grade level progress monitoring.

MC

Mary Clark

Other
3/3
Material
Number Navigator Probe 05

Number Navigator Probe 05

The fifth in a series of 9 math probes, featuring 12 problems that blend number sense and fraction skills. It includes a mix of computation and word problems suitable for 2nd and 3rd-grade level progress monitoring.

MC

Mary Clark

Other
3/3