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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

Vectors & Matrices

SequencesLessonsMaterialsVideos
  1. Math

Vectors & Matrices

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Vector properties, magnitudes, and algebraic operations including addition and scalar multiplication. Introduces matrix representations, arithmetic, and computational techniques for solving linear systems.

Vector QuantitiesMathematical and physical quantities defined by both magnitude and direction. Emphasizes vector addition, component resolution, and applications in force and motion.
Material
Skill Check Exit Ticket

Skill Check Exit Ticket

A short progress-monitoring exit ticket featuring a surveying problem and a force problem, including a student self-reflection component for Tier 2 assessment.

Lenny Avatar
Lenny
2/12
Material
Precision Practice Worksheet

Precision Practice Worksheet

A scaffolded practice worksheet for students to apply the Laws of Sines and Cosines to real-world surveying and force problems. Includes space for sketching, identifying patterns, and step-by-step calculations.

Lenny Avatar
Lenny
2/12
Material
Precision Fieldwork Slides

Precision Fieldwork Slides

Visual slide deck for instructing students on applying the Laws of Sines and Cosines to real-world scenarios in surveying and physics. High-contrast design with 24px+ font for visibility.

Lenny Avatar
Lenny
2/12
Material
Field Ops Teacher Guide

Field Ops Teacher Guide

A comprehensive teacher guide for a Tier 2 intervention lesson on the Laws of Sines and Cosines, featuring learning objectives, instructional sequences, misconception alerts, and scaffolding strategies for struggling learners.

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Lenny
2/12
Material
Ellipse Explorer Activity

Ellipse Explorer Activity

An educational handout and activity for learning the equation and properties of an ellipse, designed for the advanced geometry section of the ACT.

AL

ava larumbe

Other
2/12
Material
Desmos Drill Answer Key

Desmos Drill Answer Key

A step-by-step instructional answer key for the Desmos Drill worksheet, explaining exactly what to type into the calculator to solve each problem.

AL

ava larumbe

Other
2/8
Material
Desmos Drill Worksheet

Desmos Drill Worksheet

A targeted practice worksheet for the digital ACT, focusing on using Desmos for equation solving, algebraic equivalence (sliders), and finding quadratic vertices.

AL

ava larumbe

Other
2/8
Material
Desmos Mastery Slides

Desmos Mastery Slides

A comprehensive visual guide to using the Desmos calculator for the digital ACT, including graphing shortcuts, solving equations by intersection, and the slider "equivalence" hack.

AL

ava larumbe

Other
2/8
Material
Geometry Trig Answer Key

Geometry Trig Answer Key

A detailed answer key for the Geometry Trig Worksheet, providing step-by-step mathematical breakdowns and strategic advice for each problem.

AL

ava larumbe

Other
2/8
Material
Algebra Power Answer Key

Algebra Power Answer Key

A detailed answer key for the Algebra Power Worksheet, providing step-by-step mathematical breakdowns and strategy tips for each problem.

AL

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Other
2/8
Material
Strategy Sandbox 2 Answer Key

Strategy Sandbox 2 Answer Key

A detailed answer key for the Strategy Sandbox 2 worksheet, providing step-by-step mathematical breakdowns for PITA and PIN problems involving consecutive integers, geometry, and number properties.

AL

ava larumbe

Other
2/8
Material
Strategy Sandbox 2 Worksheet

Strategy Sandbox 2 Worksheet

An extended practice worksheet for the PITA and PIN strategies, featuring new problems involving consecutive integers, geometry, algebraic fractions, and number properties.

AL

ava larumbe

Other
2/8
Material
Strategy Sandbox Answer Key

Strategy Sandbox Answer Key

A detailed answer key for the Strategy Sandbox worksheet, providing step-by-step mathematical breakdowns and strategy explanations for each problem.

AL

ava larumbe

Other
2/8
Material
Subject Spotlight Activity

Subject Spotlight Activity

A comprehensive "Subject Spotlight" worksheet featuring high-level refreshers and immediate "Try It" practice problems for Algebra, Geometry, Trig, and Advanced topics.

AL

ava larumbe

Other
2/8
Material
Strategy Sandbox Worksheet

Strategy Sandbox Worksheet

A targeted practice worksheet for the PITA (Plugging In The Answers) and PIN (Plugging In Numbers) strategies, featuring specific problem types that favor these techniques.

AL

ava larumbe

Other
2/8
Material
Math Essentials Reference Updated

Math Essentials Reference Updated

An updated high-density reference sheet for ACT Math, now including advanced topics like Matrices, Vectors, Law of Sines/Cosines, and Ellipse equations.

AL

ava larumbe

Other
2/8
Material
Advanced Apex Answer Key

Advanced Apex Answer Key

A detailed answer key for the Advanced Apex worksheet, providing step-by-step mathematical breakdowns for pre-calculus and advanced geometry problems.

AL

ava larumbe

Other
2/8
Material
Advanced Apex Worksheet

Advanced Apex Worksheet

A specialized worksheet focusing on the most difficult "Pre-Calculus" and Geometry topics on the ACT, including matrices, vectors, complex numbers, and ellipses.

AL

ava larumbe

Other
2/8
Material
Practice Test Answer Key

Practice Test Answer Key

A detailed answer key for the ACT Math practice test, providing step-by-step explanations and strategy reminders for each problem.

AL

ava larumbe

Other
2/8
Material
ACT Math Practice Test

ACT Math Practice Test

A representative 15-question ACT Math practice section covering algebra, geometry, and trigonometry, designed for a 20-minute timed sprint.

AL

ava larumbe

Other
2/8