Count Objects 1–10
Count a group of objects up to 10 by touching each one and saying the number aloud
Mathematics activities for kids
Build strong foundations in numbers, counting, shapes, and early math concepts
Counting objects and recognizing numbers 0–20
Counting & Numbers
Build number sense through counting, number recognition, and ordering to 20
Count Objects 11–20
Count a group of objects from 11 to 20 with one-to-one correspondence
Recognize Written Numbers 0–10
Identify and name written numerals 0 through 10
Recognize Written Numbers 11–20
Identify and name written numerals 11 through 20
Write Numbers 0–10
Trace and write numerals 0 through 10 with correct form
Number Sequence & Order
Arrange numbers in order from least to greatest and identify what comes before/after a given number
Skip Count by 2s
Count forward by twos to 20 using visual aids and patterns
Skip Count by 5s
Count forward by fives to 50 using fingers, tally marks, and number charts
Skip Count by 10s
Count forward by tens to 100 using a hundreds chart
Compare Numbers (Greater/Less/Equal)
Use greater than, less than, and equal to compare two groups of objects or two numerals 0–10
Ordinal Numbers (1st–10th)
Identify and use ordinal positions first through tenth in real contexts
Tally Marks
Record and read counts up to 20 using tally marks
Early addition and subtraction within 10
Addition & Subtraction
Develop addition and subtraction fluency using visual models, manipulatives, and story situations
Addition Within 5
Add two groups of objects with sums up to 5 using pictures, fingers, and manipulatives
Addition Within 10
Add two numbers with sums up to 10 using number bonds, ten-frames, and story problems
Subtraction Within 5
Subtract to find how many are left when removing objects from a group up to 5
Subtraction Within 10
Subtract within 10 using number lines, ten-frames, and real-world story problems
Making 10 (Number Bonds)
Find pairs of numbers that add up to 10 using number bonds and ten-frames
Decompose Numbers (Number Partners)
Break apart numbers up to 10 into two parts in multiple ways (e.g., 7 = 3+4 or 5+2)
Write Addition Equations
Represent addition stories with number sentences using + and = symbols
Write Subtraction Equations
Represent subtraction stories with number sentences using minus and equals symbols
Addition & Subtraction Word Problems
Solve simple put-together, take-apart, and compare story problems within 10
Comparing size and organizing data
Measurement & Data
Compare size and measure attributes while organizing and interpreting simple data
Compare Length (Longer/Shorter)
Directly compare two objects to determine which is longer, shorter, or the same length
Compare Height (Taller/Shorter)
Compare objects by height; order three objects from shortest to tallest
Compare Weight (Heavier/Lighter)
Describe objects as heavier or lighter using a balance scale
Compare Capacity (More/Less)
Identify which container holds more or less liquid using direct comparison
Measure with Nonstandard Units
Measure length using cubes, paper clips, or hand spans and count the units
Sort & Classify Objects
Sort objects by color, shape, size, or other attributes and explain the rule used
Graphs & Pictographs
Create and read simple picture graphs and bar graphs with up to 3 categories
Time Sequence (Before/After/Now)
Use vocabulary morning, afternoon, evening, yesterday, today, tomorrow to describe time
Telling Time to the Hour
Read analog and digital clocks to the hour and connect times to daily activities
Calendar, Days of the Week & Months
Name days of the week, months of the year, and read a simple calendar
Identify Coins (Penny, Nickel, Dime, Quarter)
Name each U.S. coin, state its value in cents, and distinguish front from back
Recognizing and describing 2D and 3D shapes
Geometry & Shapes
Identify, describe, and build 2D and 3D shapes in real-world contexts
Identify 2D Shapes (Circle, Square, Triangle, Rectangle)
Name and describe circles, squares, triangles, and rectangles by their attributes
Identify 2D Shapes (Hexagon, Oval, Rhombus)
Name and describe hexagons, ovals, and rhombuses; find them in the environment
Describe Shape Attributes (Sides & Corners)
Count and describe the sides and corners (vertices) of 2D shapes
Identify 3D Shapes (Sphere, Cube, Cylinder, Cone)
Name and describe spheres, cubes, cylinders, and cones; sort them from flat shapes
Compose & Decompose Shapes
Combine simple shapes to create larger shapes; break apart shapes into parts
Symmetry Basics
Identify shapes that have a line of symmetry using folding and mirroring activities
Positional Words & Spatial Reasoning
Use above, below, beside, between, inside, outside to describe positions of objects
Equal Parts (Halves & Fourths)
Divide circles and rectangles into 2 or 4 equal parts; describe each part as a half or quarter
Recognizing and creating repeating patterns
Patterns & Early Algebra
Notice, extend, and create repeating patterns as a bridge to early algebraic thinking
Identify Repeating Patterns (AB, AAB, ABC)
Recognize, describe, copy, and extend color, shape, and sound repeating patterns
Create & Transfer Patterns
Create an original repeating pattern and transfer it to a new medium
Growing Patterns
Identify and extend simple growing number patterns
Grade 3 standards through interactive 3D models and authentic tasks
Grade 3 Mathematics
A sequenced Grade 3 mathematics pathway.
Place-Value Factory
Compose, decompose, and compare whole numbers through 1,000.
Rounding Mountain
Round whole numbers to the nearest 10 or 100 using place-value reasoning.
Addition Cargo Center
Fluently add within 1,000 using place-value strategies.
Subtraction Rescue Mission
Subtract within 1,000 using decomposition and regrouping.
Multiplication Array Builder
Interpret products as equal groups and rectangular arrays.
Multiplication Properties Machine
Use commutative, associative, and distributive properties to reason about products.
Division Sharing Station
Interpret quotients as fair shares and equal-size groups.
Fact-Family House
Relate multiplication and division facts within 100.
Two-Step Story Workshop
Represent and solve two-step word problems using all four operations.
Fraction Partition Studio
Partition shapes into equal areas and name unit fractions.
Fraction Number-Line Trail
Locate fractions on number lines and explain the size of each interval.
Fraction Comparison Balance
Compare fractions with the same numerator or denominator.
Area and Perimeter Architect
Measure area in square units and perimeter in linear units.
Elapsed-Time Station
Determine elapsed time to the nearest minute in practical situations.
Mass and Volume Laboratory
Estimate and measure liquid volume and mass in standard units.
Data and Graph Studio
Create and interpret scaled picture graphs and bar graphs.
Missing-Factor Freight Yard
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
Ribbon Bow Workshop
Solve how-many-groups division problems by measuring off equal lengths and counting the groups.
Multiples-of-Ten Loading Dock
Multiply one-digit whole numbers by multiples of 10 using place value.
Multiplication Pattern Lights
Identify arithmetic patterns in the multiplication table and explain them using properties of operations.
Equivalent Fraction Fold Lab
Explain why two fractions are equivalent by showing they cover the same length of the same whole.
Whole-Number Fraction Bakery
Express whole numbers as fractions and recognize fractions that are equal to whole numbers.
Quarter-Inch Line Plot Lab
Measure lengths to the nearest half and quarter inch and show the measurement data on a line plot.
Liter Water Tower
Solve one-step word problems about liquid volumes in liters by simulating equal pours.
Gram and Kilogram Seesaw
Estimate the masses of everyday objects in grams and kilograms by comparing them with benchmark masses.
Picture-Graph Key Workshop
Draw and read scaled picture graphs in which one symbol stands for several items.
Quadrilateral Geoboard Lab
Classify quadrilaterals by their sides and angles and recognize rhombuses, rectangles, and squares as quadrilaterals.
Rectilinear Garden Planner
Find the area of a rectilinear figure by decomposing it into non-overlapping rectangles and adding their areas.
Missing-Side Fence Repair
Solve perimeter problems that require finding an unknown side length.
Same-Perimeter Pen Simulator
Show that rectangles with the same perimeter can have different areas, and the same area can need different perimeters.
Clock Tower to the Minute
Tell and write time to the nearest minute using an analog clock and a minute number line.
Count-Up Change Counter
Make change by counting up from a price to the amount paid with coins and bills.
Grade 4 standards through interactive 3D models and authentic tasks
Grade 4 Mathematics
A sequenced Grade 4 mathematics pathway.
Million-Place Observatory
Read, write, compare, and decompose multi-digit numbers through 1,000,000.
Addition Cargo Center
Add multi-digit whole numbers accurately using the standard algorithm and estimation.
Subtraction Rescue Mission
Subtract multi-digit whole numbers accurately using decomposition.
Multiplicative Comparison Arena
Interpret statements such as “times as many” with equations and models.
Area-Model Multiplication Lab
Multiply using place-value decomposition and area models.
Multi-Digit Multiplication Factory
Multiply up to four-digit numbers by one digit and two-digit numbers by two digits.
Division Distribution Center
Find whole-number quotients and remainders with place-value strategies.
Factors and Multiples Constellation
Generate factor pairs and identify multiples.
Prime and Composite Mine
Classify numbers as prime or composite from their factor structures.
Fraction Equivalence Balance
Generate and recognize equivalent fractions.
Fraction Comparison River
Compare fractions with different numerators and denominators.
Fraction Addition Workshop
Add and subtract fractions and mixed numbers with like denominators.
Fraction Multiplication Garden
Multiply a fraction by a whole number in a visual context.
Decimal Grid Laboratory
Relate fractions with denominators 10 and 100 to decimal notation.
Measurement and Line-Plot Lab
Represent fractional measurement data on line plots and solve related problems.
Angles, Lines, and Symmetry Architect
Identify, draw, and classify geometric features.
Remainder Harbor
Interpret remainders in multistep division word problems by deciding whether to round up, drop, or report the leftover.
Ten-Times Place Elevator
Recognize that a digit in one place represents ten times what it represents in the place to its right.
Rounding Maglev Line
Round multi-digit whole numbers to the nearest thousand, ten thousand, or hundred thousand.
Pattern Bead Loom
Generate number and shape patterns that follow a given rule and identify features the rule does not state.
Letter-Unknown Cargo Train
Represent multistep word problems with an equation that uses a letter for the unknown quantity.
Benchmark Beacon Trail
Compare two fractions by reasoning about their positions relative to the benchmarks 1/2 and 1.
Fraction Decomposition Kitchen
Decompose a fraction into a sum of fractions with the same denominator and record it as an equation.
Mixed-Number Crate Packer
Rewrite improper fractions as mixed numbers and mixed numbers as fractions greater than one.
Decimal Drag Race
Compare two decimals to hundredths by reasoning about their size on the same whole.
Tenths-to-Hundredths Coin Vault
Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and add the two.
Conversion Table Workshop
Express larger measurement units in smaller units and record equivalent measures in a two-column table.
Change Counter Market
Solve money word problems with decimal notation by counting up from a price to the amount paid.
Formula Garden Planner
Apply area and perimeter formulas for rectangles to find an unknown side length in real contexts.
Protractor Kite Workshop
Measure angles in whole-number degrees with a protractor by aligning its center and zero ray.
Lighthouse Turn Beacon
Understand angle measure as a fraction of a full turn made of one-degree angles.
Angle Wedge Hangar
Solve addition and subtraction problems to find unknown angles when an angle is split into non-overlapping parts.
Grade 5 standards through interactive 3D models and authentic tasks
Grade 5 Mathematics
A sequenced Grade 5 mathematics pathway.
Decimal Place-Value Laboratory
Read, write, compare, and explain decimals through thousandths.
Decimal Rounding Terrain
Round decimals to any specified place using benchmark reasoning.
Decimal Marketplace
Add and subtract decimals in money and measurement contexts.
Decimal Multiplication Area Lab
Multiply decimals using place-value and area reasoning.
Decimal Division Dispenser
Divide decimals by whole numbers and powers of ten in context.
Multi-Digit Product Factory
Fluently multiply multi-digit whole numbers.
Long-Division Logistics Center
Find multi-digit whole-number quotients using place-value reasoning.
Common-Denominator Balance
Add and subtract fractions with unlike denominators.
Fraction Recipe Laboratory
Solve fraction addition and subtraction problems in measurement contexts.
Fraction Multiplication Volume Lab
Interpret fraction multiplication through layered area and volume models.
Unit-Fraction Division Workshop
Interpret division of unit fractions by whole numbers and vice versa.
Volume Architect
Measure volume and solve problems with rectangular prisms.
Coordinate-Plane Explorer
Graph and interpret points in the first quadrant.
Numerical Expression Machine
Write and evaluate expressions with grouping symbols.
Pattern Rule Laboratory
Generate and compare numerical patterns from given rules.
Measurement Conversion Network
Convert measurements within a given system and solve multi-step problems.
Power-of-Ten Elevator
Use whole-number exponents for powers of ten and explain how multiplying or dividing by them shifts every digit.
Fraction-as-Division Picnic
Interpret a fraction as the numerator divided by the denominator when sharing wholes equally.
Fractional Side Tiling Floor
Find the area of a rectangle with fractional side lengths by tiling it with unit-fraction tiles.
Multiplication Scaling Lens
Compare a product to one factor by reasoning about whether the other factor is greater than, less than, or equal to one.
Fraction-of-a-Set Crate Conveyor
Interpret a fraction times a whole number as parts of an equal partition of that number.
Benchmark Fraction Estimator
Estimate sums of fractions with benchmark fractions and judge whether an answer is reasonable.
Line Plot Equal-Share Lab
Make a line plot of fractional measurements and use it to redistribute a total equally.
Composite Volume Studio
Find the volume of a solid made of two non-overlapping rectangular prisms by adding their volumes.
Quadrilateral Hierarchy Tree
Classify quadrilaterals in a hierarchy using their sides, angles, and parallel lines.
Triangle Classification Geoboard
Classify triangles by both their side lengths and their angle measures.
Expression Freight Train
Write numerical expressions from word descriptions and interpret them without evaluating.
Real-World Coordinate Greenhouse
Graph real-world data as points in the first quadrant and interpret the coordinates in context.
Mixed-Number Regrouping Pantry
Subtract mixed numbers with unlike denominators by renaming fractions and regrouping a whole.
Tenfold Stepping Stones
Recognize that a digit in one place is ten times what it represents in the place to its right.
Missing-Dimension Aquarium
Use volume as base area times height to find an unknown dimension of a rectangular prism.
Decimal Point Estimation Bench
Use estimation and place value to place the decimal point in decimal products and quotients.