Curriculum Map
22 topics. 388 free guides and references. See what your child should learn at each stage, and find the articles to help you teach it.
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Building from counting to multi-step computation
The foundation everything else builds on: understanding that numbers represent real quantities.
Starts with physical objects and finger counting, then moves to number lines and hundred charts so the concept sticks before the symbols arrive.
14 articles
From combining groups of blocks to multi-digit mental math, addition is the first operation kids own.
Builds number bonds first so kids see the relationship between parts and wholes, then layers in standard algorithms once the reasoning is solid.
22 articles
More than "take away," subtraction teaches kids to think about differences, missing parts, and comparison.
Uses part-whole bar models so children understand subtraction as finding a missing part, not just removing objects.
14 articles
Equal groups, arrays, and area models give kids three different ways to see why multiplication works.
Starts with visual models (arrays, equal groups) before memorization so kids build conceptual understanding first, then practice for speed.
33 articles
The flip side of multiplication: sharing equally, grouping, and eventually long division with confidence.
Teaches division as the inverse of multiplication from day one, so kids always have a strategy to fall back on when they get stuck.
9 articles
Understanding parts, proportions, and relationships
The topic more parents worry about than any other. Fractions become intuitive when kids build them from equal parts.
Grounds every concept in fraction bars and number lines before introducing procedures, so kids understand why you need a common denominator.
29 articles
Decimals are just fractions in disguise. Kids who understand place value transition to decimals naturally.
Ties every decimal lesson back to place value and fraction equivalents so kids never see decimals as a separate, disconnected topic.
9 articles
Percents connect fractions and decimals to everyday life. Discounts, tips, grades, and statistics all use them.
Uses hundred-grids and real-life scenarios (sales tax, batting averages) so percents feel practical, not abstract.
8 articles
Ratios and proportional reasoning unlock middle-school math, from recipes to map scales to unit rates.
Starts with concrete comparisons kids already make (recipe doubling, mixing paint) and formalizes the math from there.
12 articles
Flexible thinking with numbers and real-world applications
Place value is the operating system of our number system. Every computation skill depends on it.
Uses base-ten blocks and place-value charts so kids physically see how 10 ones become 1 ten, the big idea that makes regrouping click.
19 articles
Number sense is the intuition that lets kids estimate, check their work, and know when an answer "feels wrong."
Builds through number talks, estimation routines, and mental math games. Daily low-stakes practice that develops mathematical intuition.
52 articles
Word problems are where math meets the real world. Kids learn to read a situation, choose a strategy, and solve.
Teaches a read-draw-solve routine: understand the story first, sketch a model, then pick the math, so kids stop guessing which operation to use.
14 articles
Shapes, space, and units of measure
Shapes, symmetry, angles, and spatial reasoning. Geometry trains kids to see math in the world around them.
Hands-on from the start: folding paper, building shapes, measuring real objects, then connecting those experiences to formulas.
18 articles
From measuring with paper clips in Pre-K to unit conversions in 5th grade, measurement is math you can touch.
Puts real measuring tools in kids' hands first, then builds toward conversion factors and formulas once the intuition is there.
24 articles
Patterns, variables, and higher-level reasoning
Algebra starts way before x and y. It begins with patterns, missing numbers, and "what goes in the box?"
Introduces algebraic thinking through pattern recognition and balance-scale models years before formal equation solving.
21 articles
Repeated multiplication, powers of 10, and scientific notation: the tools kids need for upper-level math and science.
Connects exponents to the place-value system kids already know, making powers of 10 the bridge to this new notation.
8 articles
Collecting, organizing, and interpreting data teaches kids to ask good questions and support answers with evidence.
Kids gather their own data from surveys and experiments first, then learn to graph and analyze, so statistics feels like detective work.
13 articles
From choppy word-by-word reading to smooth, expressive performance
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