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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

Math in Motion: The 2-Hour Summit

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

ELElsa LaLone
Foundation Missions

Scaffolded practice activities ('Skill Missions') that review key concepts: linear equations, systems, sequences, lines of best fit, and factoring. These activities ensure students have the foundational skills needed for their final project.

The Career Summit

A high-intensity, 2-hour math simulation where students act as lead consultants. They complete a scaffolded Skill Warmup before choosing one of four career paths (Music, Urban, Rocket, or Sports) to solve real-world "Work Orders" and delivering an Executive Pitch.

Math in Motion: The 2-Hour Summit

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

ELElsa LaLone

x +7

x +2

A(x) = _______________________

Lot F Boundary: (x + 8)(x + 4)

x +8

x +4

A(x) = _______________________

Lead Consultant Certification Page 2 of 6

SUMMIT PREP PACKET Sector Skill 2 | Trinomial Factoring

Skill Mission 3: Polynomial Factoring (Urban Planner Prep)

Deconstruct standard-form parcel areas back to their linear dimension binomials. Solve the 6 repeated factoring cases.

Problem 3.1 A(x) = x2 + 8x + 12

Prod: 12 Sum: 8

Factored: (x + __)(x + __)

Problem 3.2 A(x) = x2 + 7x + 10

Prod: 10 Sum: 7

Factored: (x + __)(x + __)

Problem 3.3 A(x) = x2 + 9x + 8

Prod: 8 Sum: 9

Factored: (x + __)(x + __)

Problem 3.4 A(x) = x2 + 6x + 9

Prod: 9 Sum: 6

Factored: (x + __)(x + __)

Problem 3.5 A(x) = x2 + 11x + 18

Prod: 18 Sum: 11

Factored: (x + __)(x + __)

Problem 3.6 A(x) = x2 + 12x + 20

Prod: 20 Sum: 12

Factored: (x + __)(x + __)

Lead Consultant Certification Page 3 of 6

SUMMIT PREP PACKET Sector Skill 3 | Telemetry Sequences

Skill Mission 4: Arithmetic & Geometric Sequences (Rocket Scientist Prep)

Rocket boosters execute precise staging cycles. Analyze telemetry patterns to construct sequence equations for both linear growth and exponential scales.

Telemetry 4.1 (Arith): 12, 17, 22, 27, ...

Scratchpad:

Diff (d): ________

Explicit (a_n): ________

Value at n=12: ____ psi

Telemetry 4.2 (Arith): 5, 11, 17, 23, ...

Scratchpad:

Diff (d): ________

Explicit (b_n): ________

Value at n=10: ____ psi

Telemetry 4.3 (Arith): 10, 14, 18, 22, ...

Scratchpad:

Diff (d): ________

Explicit (c_n): ________

Value at n=15: ____ psi

Telemetry 4.4 (Geom): 3, 6, 12, 24, ...

Scratchpad:

Ratio (r): ________

Explicit (g_n): ________

Value at n=7: ____ units

Telemetry 4.5 (Geom): 2, 10, 50, 250, ...

Scratchpad:

Ratio (r): ________

Explicit (h_n): ________

Value at n=5: ____ units

Telemetry 4.6 (Geom): 1, 4, 16, 64, ...

Scratchpad:

Ratio (r): ________

Explicit (p_n): ________

Value at n=6: ____ units

Lead Consultant Certification Page 4 of 6

SUMMIT PREP PACKET Sector Skill 3 | Quadratic Vertices

Skill Mission 5: Trajectory Vertex Calculations (Rocket Scientist Prep)

Calculate the precise coordinate peaks of atmospheric models using the standard vertex formulas where horizontal step is x = -b / 2a and vertical peak altitude is y.

Trajectory A: y = -x2 + 6x

Calculations:

Peak Distance x: ____ km

Peak Height y: ____ km

Trajectory B: y = -x2 + 8x

Calculations:

Peak Distance x: ____ km

Peak Height y: ____ km

Trajectory C: y = -x2 + 10x

Calculations:

Peak Distance x: ____ km

Peak Height y: ____ km

Trajectory D: y = -x2 + 12x

Calculations:

Peak Distance x: ____ km

Peak Height y: ____ km

Lead Consultant Certification Page 5 of 6

SUMMIT PREP PACKET Sector Skill 4 | Trend Mapping

Skill Mission 6: Scatter Plots & Linear Trends (Sports Analyst Prep)

In sports analytics, trend lines map player capabilities. Analyze athlete telemetry and identify correlation coefficients.

Athlete Telemetry

AthletePractice (x)Score (y)
A2 hrs8 pts
B4 hrs12 pts
C6 hrs15 pts
D8 hrs21 pts
E10 hrs24 pts

Coordinate Plotting Area 0 2 4 6 8 10 12 0 5 10 15 20 25 30 Hours (x) Points (y)

Task 6.1: Model & Trend

Trend Correlation: ______________

Best Fit Line (y=mx+b): y = _____________

Task 6.2: Repeated Correlation Diagnostics

Identify correlation direction (Positive, Negative, or None):

1. Training Hours vs. Fatigue Index: ____________

2. Jersey Number vs. Field Goals: ____________

3. Running Speed vs. Sprint Time: ____________

Official Simulation Certification & Sign-Off

I hereby verify that I have evaluated all algebraic models, verified each numeric outcome, and proven my core mathematical abilities. I am ready to step onto the Career Summit floor as an authorized Lead Consultant.

Student Consultant Signature Date: ____________________

Simulation Director Signature Date: ____________________

Lead Consultant Certification Page 6 of 6

Authorized By: Simulation Director Board

Issued: Simulated block deployment

Lead Consultant Certification Toolkit Handout | Print Ready

Linear Trend Formula: y = mx + b

Correlation Guide

Positive: Slopes upward. As hours of training grow, match output scores increase.
Negative: Slopes downward. As fatigue levels grow, speed averages decrease.


MISSION RULE

"A decision without evidence is just a guess."

Every recommendation in your Final Portfolio must match a specific calculation from your Work Log.

85

01: Scouter Prediction

Best Fit Rule:
y = 1.75x - 2

Score at 80hrs

?

0102030405060708090100

0102030405060708090100

Points Scored (y)

Training Hours (x)

Evidence Verified

Calculations Secured. Transfer results to the Final Portfolio. Present your professional findings to the summit board.

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