Common Core State Standards
Tools and labs mapped to the Common Core State Standards for Mathematics, organized by grade band from Kindergarten through high school.
K–2 Counting & Number Sense
Counting, cardinality, place value, addition, subtraction, and early measurement for the youngest learners.
Tools
Ten-Frame & Subitizing Studio
Build numbers on ten-frames, subitize dot patterns, and fill frames to match targets. Build early number sense for numbers 1 to 10. Grades K-1.
Number Path & Hop Count Adventure
Hop forward and backward on a number path from 0 to 20. Practice counting on, counting back, and early addition and subtraction. Grades K-1.
Number Bonds & Fact Families Builder
Build part-part-whole number bonds and explore all four related addition and subtraction facts. Three difficulty levels for grades K-3.
Hundreds Chart & Skip Counting Studio
Explore skip counting patterns on an interactive hundreds chart. Count by 2s, 5s, 10s and more. Watch the pattern light up and fill in missing numbers. Grades K-3.
Teen Numbers Builder (10 + Ones)
See teen numbers as 10 plus some ones using ten-rods and unit blocks. Build, identify, and decompose numbers 11 to 19. Grades K-1.
Ordinal Numbers & Sequence Stories
Practice 1st through 10th with animal line-up games. Identify ordinal positions, place characters in sequence, and solve short ordering stories. Grades K-1.
Positional Words & Map Directions Explorer
Practice above, below, beside, between, left, and right using an animal grid map. Answer positional questions to build spatial vocabulary. Grades K-1.
Calendar & Dates Explorer
Explore months, days, and dates on an interactive calendar. Answer questions about days of the week, count days forward and back, and practice date math. Grades K-3.
Balance Scale: Heavier, Lighter, Equal
Place everyday objects on a virtual balance scale and predict which side is heavier, lighter, or equal before it tips. Practice comparing weights with heavier, lighter, and equal. Grades K-1.
Labs
Ten-Frame & Subitizing Lab
Investigate how different arrangements on a ten-frame change how quickly you recognize a number. Record data and find the patterns that help you subitize faster. Grades K-1.
Tally Marks & Pictograph Lab
Record survey data as both tally marks and pictographs. Compare which display makes it easier to answer questions like which is most or how many more. Grades 1-2.
Shape Sorter & Compose Shapes Lab
Classify 2D shapes by attributes and combine small shapes to build larger ones. Investigate how sides and corners relate, and how simple shapes compose into complex ones. Grades K-1.
Calendar & Dates Lab
Investigate calendar patterns across different months. Count weekdays, find patterns in month lengths, and discover how the first day affects the whole month. Grades K-3.
3–5 Fractions & Geometry
Fractions, decimals, multiplication, division, area, perimeter, angles, and introductory geometry.
Tools
Fraction Wall & Equivalent Fractions Builder
Interactive fraction wall showing halves through twelfths. Click pieces to find equivalents, compare fractions visually, and simplify with GCD
Fractions on a Number Line
Place, compare, and find equivalent fractions on an interactive number line. Visualize unit fractions, mixed numbers, and fraction comparison for elementary students
Fraction Operations Visualizer
Add, subtract, multiply, or divide fractions with fraction bar models, area models, and step-by-step solutions. Supports mixed numbers.
Equal Shares & Fraction Shapes
Partition circles, rectangles, triangles, and hexagons into equal shares and identify the unit fraction each part represents. Build fraction models by shading parts.
Fraction Multiplication Visualizer
See fraction multiplication with colorful area models. Shade rows and columns to find the overlap, practice building models, and compare products on a number line.
Fraction as Division & Sharing Stories
Share objects equally among groups and discover that the result is a fraction. Connect division to fractions through pizza, apple, and sandwich sharing stories.
Angle Builder with Kid Protractor
Drag rays to build angles, classify as acute/right/obtuse/straight/reflex, overlay a protractor to measure, and play angle-matching challenges
Symmetry & Pattern Blocks Studio
Find lines of symmetry in shapes, create mirror drawings on a pixel grid, and explore pattern block compositions. Visual geometry for elementary students
Polygon Properties Calculator
Calculate and visualize properties of regular polygons from 3 to 20 sides. SVG diagram with interior angles, diagonals, area, perimeter, apothem, and circumradius.
Pythagorean Theorem Explorer
Solve for any missing side with step-by-step math, see the visual proof with colored squares on each side, generate Pythagorean triples, and extend to 3D distance.
Labs
Fraction Operations & Equivalents Lab
Explore fraction arithmetic with visual fraction bars. Add, subtract, multiply, and divide fractions and mixed numbers step by step. Find equivalent fractions and simplify to lowest terms
Recipe Fractions & Mixing Lab
Scale recipe ingredient amounts using fractions, find equivalent fractions, and see proportional changes on fraction bars when halving, doubling, or tripling a batch
Angle Builder Lab
Build angles from 0° to 360° using a slider, classify each as acute, right, obtuse, straight, or reflex, and record data to discover the boundaries between angle types and the landmark turn angles.
Symmetry & Pattern Blocks Lab
Investigate lines of symmetry in 10 shapes. Toggle vertical, horizontal, and diagonal fold lines to discover which shapes have the most symmetry, then record your findings and look for patterns across regular and irregular shapes.
Garden Area & Perimeter Lab
Design garden plots on a square grid, calculate area and perimeter, and discover how different shapes can have the same area but different perimeters
6–8 Ratios, Algebra & Statistics
Ratios, proportions, expressions, equations, functions, and introductory statistics for middle school.
Tools
Ratio & Proportion Visualizer
Explore ratios with tape diagrams, equivalent ratio tables, unit rates, and cross-multiplication proportion solving.
Decimal, Fraction & Percent Converter
Type a decimal, fraction, or percent and the other two update instantly. Pie chart, 100-grid, and number line show the same value three ways.
Percent Calculator & Visualizer
Four modes for every percent problem: find the part, the percent, the whole, or percent change. 100-grid and bar model visuals with step-by-step math.
Integer Number Line
Add or subtract integers on a visual number line. Arrow shows direction and distance, with step-by-step explanations for negative number operations.
Linear Equation Solver
Solve systems of linear equations with step-by-step Gaussian elimination, interactive matrix visualization, and exact fraction arithmetic.
Systems of Equations Solver (3+ Variables)
Solve 2x2 through 5x5 systems with Gaussian elimination. Step-by-step row operations, augmented matrix display, determinant, and solution classification.
Mean, Median & Mode Explorer
Enter a dataset to see mean, median, and mode on an interactive number line with a balance-point fulcrum, box plot, and step-by-step calculations.
Descriptive Statistics Calculator
Compute mean, median, mode, standard deviation, and more. Visualize data with interactive box plots and histograms.
Picture Graphs, Bar Graphs & Line Plots Builder
Enter data and build picture graphs, bar graphs, and line plots. Auto-generated questions test reading and comparing data. Perfect for elementary data literacy
Line Plot & Fraction Data Explorer
Create line plots from measurement data using fractions. Place X marks on number lines with halves, fourths, and eighths. Answer questions and compute totals from fraction data.
Labs
Mean, Median & Mode Lab
Enter number datasets, compute mean, median, mode, and range instantly, and record multiple datasets to discover when each measure of center best represents the data.
Graphs for Kids Lab
Build bar graphs from category data, read which groups have the most and fewest, compute the difference, and record findings to practice data literacy skills.
Line Plot & Fraction Data Lab
Place X marks on a fraction number line (fourths from 0 to 4), find the most common measurement, and record data to practice building and reading line plots with fraction data.
Ratio, Proportion & Percent Lab
Visualize ratios with bar models, solve proportions using cross-multiplication, and calculate percent change. Discover the asymmetry of percent increase and decrease
Spinners, Dice & Probability Lab
Spin a spinner or roll a die, track every outcome, and compare experimental probability to the theoretical 1/6. Discover how more trials bring results closer to the theoretical prediction.
9–12 Functions, Trigonometry & Statistics
Functions, polynomial and trigonometric models, probability, inferential statistics, and introductory calculus.
Tools
Function Graph Explorer
Plot functions, explore properties, and see step-by-step derivative analysis with interactive graphing.
Polynomial Factoring & Roots Explorer
Factor polynomials up to degree 4 and find roots with step-by-step solutions.
Quadratic Equation Solver
Solve ax² + bx + c = 0 with an interactive graph. See roots, vertex, discriminant, and step-by-step solutions.
Derivative & Integral Visualizer
Plot f(x), f'(x), and F(x) together. Drag a point to see the tangent line slope and accumulated area with step-by-step differentiation.
Limits & Continuity Explorer
Compute left-hand, right-hand, and two-sided limits numerically. SVG graph, approach table, and discontinuity classification.
Regression Suite (Multiple & Polynomial)
Fit linear, quadratic, cubic, exponential, logarithmic, and power models to data. Compare R-squared, residuals, and predict new values with scatter plots.
Probability Distributions Explorer
Explore normal, binomial, Poisson, and uniform distributions. Visualize PDF/CDF plots, compute probabilities with draggable bounds, and find inverse values.
Normal Distribution & Z-Score Explorer
Interactive bell curve with shaded probability regions. Convert between raw scores and Z-scores with numerical integration.
Hypothesis Testing Calculator
Run z-tests, t-tests, two-sample t-tests, and chi-square goodness-of-fit tests. See test statistics, p-values, critical values, and step-by-step breakdowns.
Labs
Limits & Continuity Lab
Explore the formal epsilon-delta definition of limits, apply the squeeze theorem, and classify removable, jump, and infinite discontinuities by testing continuity conditions
Derivatives & Tangent Lines Lab
Visualize derivatives as slopes of tangent lines, animate secant lines approaching tangents as h approaches 0, explore derivative rules step by step, and compute slopes on implicit curves
FTC & Net Change Lab
Explore the Fundamental Theorem of Calculus by building accumulation functions, evaluating definite integrals with antiderivatives, and computing displacement versus total distance from velocity functions
Regression & Residual Diagnostics Lab
Fit linear, quadratic, and exponential models then diagnose fit with residual plots, leverage, Cook's distance, and Q-Q plots. Explore Anscombe's Quartet to see why R² alone is not enough
Hypothesis Testing Lab
Set up a one-sample z-test. Enter population mean, sample mean, standard deviation, and sample size. Compute the z-statistic, p-value, and decision to reject or fail to reject the null hypothesis.
Normal Distribution Lab
Set a mean and standard deviation, adjust a raw score X, and see the Z-score, percentile, and shaded bell curve area update instantly. Explore the 68-95-99.7 rule.