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Number Operations

SequencesLessonsMaterialsVideos
  1. Math

Number Operations

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Counting sequences, place value systems, and the four mathematical operations across whole numbers and decimals. Builds proficiency in solving equations, identifying numerical patterns, and applying properties of operations to multi-digit arithmetic.

Properties of OperationsCommutative, associative, and distributive properties for addition and multiplication. Develops mental math strategies and provides the foundation for algebraic manipulation.
Patterns and RelationshipsIdentification, extension, and creation of repeating and growing patterns using shapes, colors, and numbers. Develops algebraic thinking by analyzing sequences and defining functional relationships between variables.
Generate and Analyze PatternsNumerical and geometric sequence identification using explicit rules. Builds algebraic reasoning through the analysis of term-to-term relationships and coordinate plane representations.
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
Champions Challenge Key

Champions Challenge Key

Detailed solution and pedagogical guide for the "Final Chamber" boss challenge.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Champions Challenge Worksheet

Champions Challenge Worksheet

A high-level "Boss Challenge" worksheet for early finishers, featuring a complex multi-part geometry and cost-analysis problem.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Contest Prep Key

Contest Prep Key

The master answer key for all 15 math challenges in the Logic Labyrinth sequence.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Logic Labyrinth Worksheet

Logic Labyrinth Worksheet

A 4-page printable worksheet with 15 contest-style math problems, balanced for even distribution on letter-size paper without spillover.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Contest Quest Slides

Contest Quest Slides

A visually engaging math contest review slide deck designed for self-paced student use, featuring 15 challenges in Number Theory, Geometry, Combinatorics, and Algebra tailored for talented 4th/5th graders with Hint and Solution slides.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Algebra Factory Answer Key

Algebra Factory Answer Key

A comprehensive answer key for all three levels of worksheets, styled as an administrative 'Master Technician' reference.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Machine Tester Worksheet Level 3

Machine Tester Worksheet Level 3

A Level 3 advanced worksheet that integrates combining like terms into solving multi-step one-variable equations. Includes a challenging 'Stress Test' problem.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Fusion Lab Worksheet Level 2

Fusion Lab Worksheet Level 2

A Level 2 intermediate worksheet focusing on multi-variable expressions, terms with exponents, and negative coefficients. Includes an error analysis question.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Part Sorter Worksheet Level 1

Part Sorter Worksheet Level 1

A Level 1 introductory worksheet focusing on identifying like terms and performing basic addition and subtraction of matching components.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Component Sorting Slides

Component Sorting Slides

A visual presentation for introducing the 'Algebra Factory' theme, defining like terms through industrial analogies, and demonstrating identification and simplification techniques.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Assembly Line Guide Teacher Guide

Assembly Line Guide Teacher Guide

A comprehensive lesson plan for teachers, outlining the 'Algebra Factory' approach to combining like terms. Includes learning objectives, a timed timeline, materials list, and differentiation strategies.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Frozen Frontier Answer Key

Frozen Frontier Answer Key

An updated answer key for the 'Frozen Frontier' worksheet, reflecting the new comparison problems and refined reflection criteria.

TP

tiffany priest

Math Teacher
3/12
Material
Frozen Frontier Slides

Frozen Frontier Slides

Instructional slides for the 'Frozen Frontier' lesson. Includes an additional slide on 'The Magnitude Paradox' to explain why larger negative digits result in smaller overall values.

TP

tiffany priest

Math Teacher
3/12
Material
Frozen Frontier Worksheet

Frozen Frontier Worksheet

A revised 'Frozen Frontier' worksheet with more explicit explanations of the 'Magnitude Paradox' and a updated reflection question focusing on the logic of negative values.

TP

tiffany priest

Math Teacher
3/12
Material
Problem Solving Playbook Teacher Guide

Problem Solving Playbook Teacher Guide

A comprehensive facilitation guide for teachers including Colorado Academic Standard alignments, a detailed pacing guide, and a complete answer key with explanations for all problems in the student worksheet.

Lenny Avatar
Lenny
3/11
Material
Strategy Sandbox Worksheet

Strategy Sandbox Worksheet

A multi-page student worksheet containing 8 tiered math problems focused on four problem-solving strategies. Features clear visual zones for drawing, working backwards, identifying patterns, and error analysis.

Lenny Avatar
Lenny
3/11
Material
Strategy Toolbox Slides

Strategy Toolbox Slides

A 7-slide presentation covering four key mathematical problem-solving strategies: drawing diagrams, working backwards, identifying patterns, and checking work. Includes visual examples and mnemonics for middle school students.

Lenny Avatar
Lenny
3/11
Material
Architect Certification Document

Architect Certification Document

A formal certificate of completion for the Coordinate Point Detectives series, featuring a Master Architect theme with space for graduate name and official signature.

JS

Janette Sullivan

Special Education Teacher
3/11
Material
Coordinate Final Test Document

Coordinate Final Test Document

A comprehensive 10-problem final test covering coordinate identification, point plotting, and missing vertex determination for squares and rectangles across all four quadrants.

JS

Janette Sullivan

Special Education Teacher
3/11
Material
Architects Answer Key

Architects Answer Key

Updated answer key including solutions for the 10 worksheets and the comprehensive 10-problem final test.

JS

Janette Sullivan

Special Education Teacher
3/11
Material
Intro Term Terminator Answer Key

Intro Term Terminator Answer Key

The teacher answer key for the Intro Term Terminator Worksheet, featuring clearly marked correct responses and simplified expressions.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Intro Term Terminator Worksheet

Intro Term Terminator Worksheet

An introductory worksheet for combining like terms, using visual shapes and extremely simple addition-only expressions to help beginners grasp the concept.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Easy Term Terminator Answer Key

Easy Term Terminator Answer Key

The teacher answer key for the Easy Term Terminator Worksheet, featuring clearly marked correct responses and simplified expressions.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Easy Term Terminator Worksheet

Easy Term Terminator Worksheet

An easier version of the Term Terminator worksheet, focusing on basic variable matching and simple two-group expression cleanup without exponents.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Term Terminator Slides

Term Terminator Slides

A visual presentation for introducing combining like terms, featuring mission-themed slides that explain the criteria for like terms and how to simplify expressions.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Term Terminator Answer Key

Term Terminator Answer Key

The teacher answer key for the Term Terminator Worksheet, featuring clearly marked correct responses and simplified expressions.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Term Terminator Worksheet

Term Terminator Worksheet

A high-tech, arcade-themed worksheet for practicing combining like terms. It includes three levels: identifying like terms, basic simplification, and multi-term 'Boss Battles'.

CS

COURTNEY SCHERER

Special Education Teacher
3/12
Material
Champions Challenge Key

Champions Challenge Key

Detailed solution and pedagogical guide for the "Final Chamber" boss challenge.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Champions Challenge Worksheet

Champions Challenge Worksheet

A high-level "Boss Challenge" worksheet for early finishers, featuring a complex multi-part geometry and cost-analysis problem.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Contest Prep Key

Contest Prep Key

The master answer key for all 15 math challenges in the Logic Labyrinth sequence.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Logic Labyrinth Worksheet

Logic Labyrinth Worksheet

A 4-page printable worksheet with 15 contest-style math problems, balanced for even distribution on letter-size paper without spillover.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Contest Quest Slides

Contest Quest Slides

A visually engaging math contest review slide deck designed for self-paced student use, featuring 15 challenges in Number Theory, Geometry, Combinatorics, and Algebra tailored for talented 4th/5th graders with Hint and Solution slides.

FW

Fernanda Winthrop

Math Teacher
3/12
Material
Frozen Frontier Answer Key

Frozen Frontier Answer Key

An updated answer key for the 'Frozen Frontier' worksheet, reflecting the new comparison problems and refined reflection criteria.

TP

tiffany priest

Math Teacher
3/12
Material
Frozen Frontier Slides

Frozen Frontier Slides

Instructional slides for the 'Frozen Frontier' lesson. Includes an additional slide on 'The Magnitude Paradox' to explain why larger negative digits result in smaller overall values.

TP

tiffany priest

Math Teacher
3/12
Material
Frozen Frontier Worksheet

Frozen Frontier Worksheet

A revised 'Frozen Frontier' worksheet with more explicit explanations of the 'Magnitude Paradox' and a updated reflection question focusing on the logic of negative values.

TP

tiffany priest

Math Teacher
3/12
Material
Problem Solving Playbook Teacher Guide

Problem Solving Playbook Teacher Guide

A comprehensive facilitation guide for teachers including Colorado Academic Standard alignments, a detailed pacing guide, and a complete answer key with explanations for all problems in the student worksheet.

Lenny Avatar
Lenny
3/11
Material
Strategy Sandbox Worksheet

Strategy Sandbox Worksheet

A multi-page student worksheet containing 8 tiered math problems focused on four problem-solving strategies. Features clear visual zones for drawing, working backwards, identifying patterns, and error analysis.

Lenny Avatar
Lenny
3/11
Material
Strategy Toolbox Slides

Strategy Toolbox Slides

A 7-slide presentation covering four key mathematical problem-solving strategies: drawing diagrams, working backwards, identifying patterns, and checking work. Includes visual examples and mnemonics for middle school students.

Lenny Avatar
Lenny
3/11
Material
Architect Certification Document

Architect Certification Document

A formal certificate of completion for the Coordinate Point Detectives series, featuring a Master Architect theme with space for graduate name and official signature.

JS

Janette Sullivan

Special Education Teacher
3/11
Material
Coordinate Final Test Document

Coordinate Final Test Document

A comprehensive 10-problem final test covering coordinate identification, point plotting, and missing vertex determination for squares and rectangles across all four quadrants.

JS

Janette Sullivan

Special Education Teacher
3/11
Material
Easy Power Play Slides

Easy Power Play Slides

Updated slides with simplified examples and challenges to match the easier worksheet difficulty, ensuring a cohesive and accessible instructional experience.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Easy Exponent Expedition Answer Key

Easy Exponent Expedition Answer Key

The complete answer key for the easy version of the Exponent Expedition worksheet, featuring simplified solutions and clear markings for common errors.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Easy Exponent Expedition Worksheet

Easy Exponent Expedition Worksheet

A simplified version of the Exponent Expedition worksheet featuring lower exponent values, visual scaffolds for complex problems, a vocabulary word bank, and guided steps for solving.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Exponent Expedition Answer Key

Exponent Expedition Answer Key

The complete answer key for the Exponent Expedition Worksheet, featuring step-by-step simplifications for Bronze, Silver, and Gold challenges.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Exponent Expedition Worksheet

Exponent Expedition Worksheet

A comprehensive practice sheet with tiered difficulty levels (Bronze, Silver, Gold) covering base/power identification, expression evaluation, and application of exponent rules.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Power Play Slides

Power Play Slides

A high-energy visual presentation introducing the core concepts of exponents, including base and power definitions, evaluation steps, and the product and quotient rules.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Power Play Teacher Guide

Power Play Teacher Guide

A comprehensive instructional guide for teachers to lead a 60-minute lesson on exponents, featuring lesson flow, common misconceptions, and guided discovery prompts for the product and quotient rules.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Blueprint Reference Sheet

Blueprint Reference Sheet

A student anchor chart and cheat sheet summarizing the rules for identifying and combining like terms with visual examples.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Term Tournament Key

Term Tournament Key

Answer key for the Term Tournament worksheet with step-by-step grouping breakdowns for Level 3 and the perimeter project.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Term Teamwork Guided Key

Term Teamwork Guided Key

Answer key for the Guided Term Teamwork worksheet with detailed grouping steps and explanations.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Term Tournament Worksheet

Term Tournament Worksheet

A comprehensive worksheet featuring three levels of difficulty: Level 1 (positive terms), Level 2 (mixed signs), and Level 3 (multiple variables and exponents), plus a geometry-based application problem.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Term Teamwork Guided Worksheet

Term Teamwork Guided Worksheet

A scaffolded worksheet for identifying like terms and practicing basic combining with visual grouping aids and guided examples.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Term Teamwork Slides

Term Teamwork Slides

Visual introduction to combining like terms with a blueprint aesthetic, featuring clear definitions, sign-checking tips, and step-by-step guided examples.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Mission Inequality Answer Key

Mission Inequality Answer Key

An instructor-facing answer key for the Mission Inequality worksheet, providing step-by-step solutions and the correct final inequality for each problem.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Mission Inequality Worksheet

Mission Inequality Worksheet

A student practice worksheet styled as a confidential mission briefing, featuring sections on translating verbal phrases, solving one-step inequalities with addition/subtraction/multiplication/division, and a special section on the negative flip rule.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Mission Inequality Slides

Mission Inequality Slides

A vibrant, secret agent-themed slide deck that explains the concepts of one-step inequalities, the use of inverse operations, and the critical rule for flipping signs when multiplying or dividing by negative numbers.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Mission Inequality Teacher Guide

Mission Inequality Teacher Guide

A detailed teacher guide for a lesson on one-step inequalities, featuring learning objectives, a timed lesson sequence, differentiation strategies, and common misconceptions.

CS

COURTNEY SCHERER

Special Education Teacher
3/16
Material
Distributive Power Answer Key

Distributive Power Answer Key

The complete answer key for the Distributive Power Worksheet, showing all expansion and solution steps for the 12 problems.

SF

Steven Flint

Math Teacher
3/16
Material
Distributive Power Worksheet

Distributive Power Worksheet

A single-page, 12-problem worksheet on solving equations with the distributive property. Features a compact, blueprint-inspired layout with instructional guide and dedicated work areas for each problem.

SF

Steven Flint

Math Teacher
3/16
Material
Terms Team Up Answer Key

Terms Team Up Answer Key

A comprehensive answer key for all three levels of the Terms Team-Up worksheet set.

CS

COURTNEY SCHERER

Special Education Teacher
3/16