bigdogmathLesson calendarJoin a class

Explore

Catch up on a lesson, or practice any tool — no code needed.

Today's LessonWarm-up, agenda, and today's work
Practice GamesBeat your score — GEMS, integers, percents & moreStuck on your work?Walk through it one step at a time

Math tools by Carnegie sequence

Composing and Decomposing

FoundationMultiplication

Build multiplication with boxes, then strengthen the facts that make every method faster.

Box MethodFill in the multiplication boxesMultiplication FactsFast facts practice
M1.T1Factors, Multiples, and Fraction Division

Take numbers apart, find common ground, then connect division to fractions.

Divisibility RulesChoose a number and prove each divisibility ruleLCM BouncerTwo hoppers, one track, find where they meetEqual Group BuilderMove items into identical groups and reveal the GCFGCF and LCM MethodsWatch primes sort into a Venn and become GCF and LCMLadder MethodGCF, LCM, and prime factorsConverting Mixed NumbersConvert mixed numbers and improper fractions with barsFraction Bar SandboxBuild, align, and compare up to four rowsVisually Dividing FractionsKeep the total, shrink the group, and watch the quotient growDivide Fractions with SIRStay, inverse, reciprocal, then solveWhy Dividing by a Fraction Can Give a Bigger AnswerBuild the amount, fit the pieces, and count the quotient
M1.T2Area, Volume, and Decomposing Shapes

Build area and volume from rectangles, layers, and decomposed shapes.

Box MethodFill in the multiplication boxesDistributive Area MethodSplit the rectangle to decomposeArea FinderChoose a shape and build its area on a unit gridComposite Shape Area FinderSplit a composite shape and combine the partial areas
M1.T3Decimals and Division Models

Use place value, number lines, products, and division structure with decimals.

Place Value ReaderRead and build big numbers and decimalsPlace Value MirrorMultiply and divide by powers of tenNumber LineIntegers, hops, and fractionsDecimals, step by stepAdd, subtract, multiply, and divideLong DivisionDivide step by stepDivision HouseClick where each number goes

Ratios and Rates

M2.T1Ratio Relationships

Represent ratios, equivalent ratios, and growing relationships.

Group BarsEqual groups and ratiosRatio ExplainerSee what a ratio is sayingDouble Number LineTwo lines, one ratioProportion BuilderScale factors and missing values
M2.T2Percents and Benchmarks

Connect part, whole, benchmark percents, and flexible representations.

Percent BarParts, wholes, and benchmarksConverting Mixed NumbersConvert mixed numbers and improper fractions with barsNumber LineIntegers, hops, and fractionsProportion BuilderScale factors and missing values
M2.T3Measurement, Unit Rates, and Best Buy

Compare quantities, convert measures, and reason about rate decisions.

Proportion BuilderScale factors and missing valuesDouble Number LineTwo lines, one ratioRatio ExplainerSee what a ratio is sayingArea FinderChoose a shape and build its area on a unit grid

Expressions and Equations

M3.T1Expressions and Equivalent Forms

Use variables, terms, and structure before simplifying.

Identify TermsCoefficient, variable, and constantCombine Like TermsGroup and simplifyAlgebra TilesBuild and simplify expressionsDistributive Area MethodSplit the rectangle to decompose
M3.T2Equations and Inequalities

Keep both sides balanced, solve, and interpret the solution set.

Balance BeamKeep both sides equal to solveEquation BuilderSolve step by stepAlgebra TilesBuild and simplify expressionsNumber LineIntegers, hops, and fractions
M3.T3Relationships, Graphs, and Tables

Connect equations, ordered pairs, graphs, and real situations.

Coordinate GridPlot and identify pointsProportion BuilderScale factors and missing valuesDouble Number LineTwo lines, one ratioRatio ExplainerSee what a ratio is saying

Integers and the Coordinate Plane

M4.T1Positive and Negative Numbers

Locate, compare, and reason with integers and magnitude.

Number LineIntegers, hops, and fractionsCoordinate GridPlot and identify pointsPlace Value ReaderRead and build big numbers and decimals
M4.T2Coordinate Plane and Geometry

Plot points and use coordinates to describe shapes and distance.

Coordinate GridPlot and identify pointsArea FinderChoose a shape and build its area on a unit gridNumber LineIntegers, hops, and fractions

Statistical Reasoning

M5.T1Statistical Questions and Data Displays

Ask a measurable question, organize data, and read the display.

Coordinate GridPlot and identify pointsNumber LineIntegers, hops, and fractionsWhiteboardA blank space to work
M5.T2Center, Spread, and Interpretation

Summarize data with center and variability, then explain the meaning.

Number LineIntegers, hops, and fractionsWhiteboardA blank space to workTimerCount down work time

General Classroom Supports

PracticeFluency, Work Time, and Open Workspace

Tools that support practice, scratch work, and class routines across modules.

Multiplication FactsFast facts practiceGEMS Order of OperationsPick the step and build the lineWhiteboardA blank space to workTimerCount down work time