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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

Shape Detectives

An interactive early geometry lesson where students explore, classify, and sort everyday real-world items into six fundamental 2D shapes.

KSKristin Szpakowski

Shape Detectives

An interactive early geometry lesson where students explore, classify, and sort everyday real-world items into six fundamental 2D shapes.

KSKristin Szpakowski

4 Cards Placed Partner Checked

Detective Name: ___________________________ Date: _______________

Mat 3 of 6

TRIANGLE SORTING MAT

2D Polygon

Sides: 3 straight sides Corners: 3 vertices Angles: 3 interior angles

Find and place the 4 real-world triangle photo cards in the 3" × 3" slots below.

TRIANGLE ITEM #1 3" × 3" Card

Place Photo Card Here

Match the 3-sided wedge or sign

Card Name: ___________________________

TRIANGLE ITEM #2 3" × 3" Card

Place Photo Card Here

Match the 3-sided wedge or sign

Card Name: ___________________________

TRIANGLE ITEM #3 3" × 3" Card

Place Photo Card Here

Match the 3-sided wedge or sign

Card Name: ___________________________

TRIANGLE ITEM #4 3" × 3" Card

Place Photo Card Here

Match the 3-sided wedge or sign

Card Name: ___________________________

Detective Talk: Count the 3 sides and 3 sharp corners on each item! Can a triangle point up or down?

4 Cards Placed Partner Checked

Detective Name: ___________________________ Date: _______________

Mat 4 of 6

RECTANGLE SORTING MAT

2D Quadrilateral

Sides: 4 straight sides (2 pairs equal) Corners: 4 right angles (90°) Rule: Opposite sides equal

Find and place the 4 real-world rectangle photo cards in the 3" × 3" slots below.

RECTANGLE ITEM #1 3" × 3" Card

Place Photo Card Here

Match the phone, bar, door, or book

Card Name: ___________________________

RECTANGLE ITEM #2 3" × 3" Card

Place Photo Card Here

Match the phone, bar, door, or book

Card Name: ___________________________

RECTANGLE ITEM #3 3" × 3" Card

Place Photo Card Here

Match the phone, bar, door, or book

Card Name: ___________________________

RECTANGLE ITEM #4 3" × 3" Card

Place Photo Card Here

Match the phone, bar, door, or book

Card Name: ___________________________

Detective Talk: How can you tell a rectangle from a square? (2 sides are longer than the other 2 sides!)

4 Cards Placed Partner Checked

Detective Name: ___________________________ Date: _______________

Mat 5 of 6

STAR SORTING MAT

5-Pointed Star

Points: 5 radiating tips Valleys: 5 inner corners Rule: Pointed symmetry

Find and place the 4 real-world star photo cards in the 3" × 3" slots below.

STAR ITEM #1 3" × 3" Card

Place Photo Card Here

Match the 5-point star item

Card Name: ___________________________

STAR ITEM #2 3" × 3" Card

Place Photo Card Here

Match the 5-point star item

Card Name: ___________________________

STAR ITEM #3 3" × 3" Card

Place Photo Card Here

Match the 5-point star item

Card Name: ___________________________

STAR ITEM #4 3" × 3" Card

Place Photo Card Here

Match the 5-point star item

Card Name: ___________________________

Detective Talk: Point and count out loud all 5 tips on each star object! Do they all radiate from the center?

4 Cards Placed Partner Checked

Detective Name: ___________________________ Date: _______________

Mat 6 of 6

HEART SORTING MAT

Cardioid Shape

Top: 2 rounded lobes & cleft Bottom: 1 tapered point Rule: Line of symmetry

Find and place the 4 real-world heart photo cards in the 3" × 3" slots below.

HEART ITEM #1 3" × 3" Card

Place Photo Card Here

Match the berry, leaf, cookie, or glasses

Card Name: ___________________________

HEART ITEM #2 3" × 3" Card

Place Photo Card Here

Match the berry, leaf, cookie, or glasses

Card Name: ___________________________

HEART ITEM #3 3" × 3" Card

Place Photo Card Here

Match the berry, leaf, cookie, or glasses

Card Name: ___________________________

HEART ITEM #4 3" × 3" Card

Place Photo Card Here

Match the berry, leaf, cookie, or glasses

Card Name: ___________________________

Detective Talk: Trace the two rounded curves at the top and the point at the bottom! Are both sides symmetrical?

4 Cards Placed Partner Checked

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