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Functions

Mapping relationships through notation, algebraic representations, and growth rate comparisons. Equips learners to transform functions, model contextual data, and solve exponential equations.

Popular topics

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Analyze Function Representations
Analyze Function Representations
Function Concepts and Notation
Function Concepts and Notation
Interpret Functions in Context
Interpret Functions in Context
Construct and Model Functions
Construct and Model Functions
Model Relationships with Functions
Model Relationships with Functions
Define and Compare Functions
Define and Compare Functions
Distinguish Between Function Types
Distinguish Between Function Types
Interpret Function Expressions
Interpret Function Expressions
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

Identify Linear vs Exponential Growth

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Function Patterns Worksheet

Function Patterns Worksheet

A two-page high school Algebraic Reasoning practice worksheet covering TEKS AR.2.A through AR.2.D. Includes table finite-difference calculations, function classification across representations, and step-by-step function modeling for linear, quadratic, cubic, and exponential relationships.

MR

Mahuya Roy Chowdhury

Bacteria Bloom Graphic Organizer

Bacteria Bloom Graphic Organizer

A guided graphic organizer designed to help students analyze and solve an exponential growth word problem involving doubling bacteria. Students deconstruct key information, complete a multi-step time-and-exponent tracking table from hour 0 to hour 5, explore exponent rules, and synthesize their reasoning in a structured explanation area.

CR

Candice Richardson

Pattern Power Anchor Chart

Pattern Power Anchor Chart

A high-contrast anchor chart comparing linear and exponential functions through annotated tables, equations, and graphs. Optimized for single-page printing as a wall poster. Updated equations to lowercase variables. Corrected graph y-intercepts to show y=5 at x=0 for both functions by using integrated SVG axes. Refined visual clarity for poster use.

Y

yucel

Algebra 1 TEKS Reference Guide

Algebra 1 TEKS Reference Guide

A comprehensive, formatted reference list of all Algebra 1 Texas Essential Knowledge and Skills (TEKS) organized by standard strands for teacher use. Includes Process Standards.

M

mbatey

Interpret Functions in Context

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Figurative Patterns Slides Orientation Fix

Figurative Patterns Slides Orientation Fix

Fixed Slide 6 where the visualization of two paired triangular numbers forming a rectangle was missing. Replaced the previous layout with explicit flex rows to ensure the dots render correctly and clearly show how $T_4$ and its twin create a $4 \times 5$ rectangle. Label positioning and container sizing were also refined for better clarity. Adjusted Slide 4 to fill vertical space more effectively.

BC

Brenda Coombs

Fare Finder Chart

Fare Finder Chart

A high-resolution, full-page standalone math-accurate coordinate graph showing the linear cost of an Uber ride with base fare $2.50 and $1.50 per mile, with specific points highlighted and labeled at x = 3 ($7.00) and x = 12 ($20.50). Features minor gridlines at $1 increments.

PT

Patrick Timmons

Algebra Review Test

Algebra Review Test

A comprehensive 8-page Quarter 1 Interim Review Assessment designed for 9th grade Special Education (SPED) Algebra 1 students, fully mirroring the 22-question assessment with built-in accommodations, reference toolkits, chunked questions, and scaffolded work spaces.

R

rubaiya.ahmed

Quadratic Unit Internalization Plan

Quadratic Unit Internalization Plan

A fully completed 5-page Secondary Math Unit Internalization guide for Algebra 1 Quadratic Functions and Equations, filling in every section and prompt from the district curriculum framework.

MR

Mahuya Roy Chowdhury

Line Craft Worksheet

Line Craft Worksheet

A Grade 8 review worksheet (Lessons 2-6/2-7) covering slope from ordered pairs with expanded work areas, rate of change from tables, slope from graphs through the origin, and graphing direct variation equations.

K

Kyle.Nicholson

Slope Climber Practice Worksheet

Slope Climber Practice Worksheet

A 2-page practice worksheet with coordinate values on Problems 4, 5, 6, and 7 formatted onto separate lines with x1 and x2 on the top line and y1 and y2 on the bottom line for clear student completion.

G

Gabriel.Nelson

Define and Compare Functions

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Foundation Missions Part 1 Final

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.

EL

Elsa LaLone

102
Project Mission Slides Final

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.

EL

Elsa LaLone

102
Trend Trackers Answer Key

Algebra Essentials Sequence

A series of 8th and 9th grade Algebra lessons focused on linear relationships and systems of equations, with a focus on SPED/IEP support.

D

deeohnny.jackson

55
Math Blueprint Week 1 Booklet (Definitive)

Math Blueprint Spiral

A 7-week comprehensive math review sequence designed to prepare 6th-grade students for North Carolina state testing, covering Number Systems, Ratios, Expressions, Geometry, and Statistics.

MK

Michell Kisler

27
Blueprint Basics Slides

Foundational Math Builders

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

JS

Janette Sullivan

37
Regents Mastery Blueprint Study Guide

Regents Mastery Suite

A comprehensive review suite for the New York State Mathematics Regents exams, including Algebra 1, Geometry, and Algebra 2, featuring mastery blueprints, calculator strategies, and exam-taking tips.

KB

Kayla Borozny

15

Model Relationships with Functions

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Foundation Missions Part 1 Final

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.

EL

Elsa LaLone

102
Project Mission Slides Final

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.

EL

Elsa LaLone

102
Math Blueprint Week 1 Booklet (Definitive)

Math Blueprint Spiral

A 7-week comprehensive math review sequence designed to prepare 6th-grade students for North Carolina state testing, covering Number Systems, Ratios, Expressions, Geometry, and Statistics.

MK

Michell Kisler

27
Footprint Teacher Guide

Digital Decision Making

A comprehensive four-year high school SEL unit focusing on responsible digital choices, critical evaluation of online sources, ethical interactions, and positive digital leadership.

J

jtoomey

44
Blueprint Basics Slides

Foundational Math Builders

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

JS

Janette Sullivan

37
Regents Mastery Blueprint Study Guide

Regents Mastery Suite

A comprehensive review suite for the New York State Mathematics Regents exams, including Algebra 1, Geometry, and Algebra 2, featuring mastery blueprints, calculator strategies, and exam-taking tips.

KB

Kayla Borozny

15