Elementary Math Curriculum
Elementary school is where math is either built on understanding or stacked on memory. This page maps the full arc — counting, place value, multiplication, fractions, decimals — by country, and links to the exact skills for each grade.
An elementary math curriculum covers roughly Kindergarten through Grade 5 (or Grade 6 in some systems): counting and number sense, place value, the four operations, fractions, decimals, early geometry, measurement and data. The arc matters more than any single topic — each year assumes the last one landed. Get the foundation right in elementary and middle-school math feels natural; leave gaps and they compound.
A Grade 5 child stares at 1/2 + 1/3 and writes 2/5. Trace it back and the real problem isn't fractions at all — it's that place value in Grade 2 was shaky, so multiplication in Grade 3 was memorised, so equivalence in Grade 4 never landed, so fractions in Grade 5 have nothing to stand on.
That is the truth about elementary math: it is one long chain, not six separate years. The most common reason a child "suddenly" struggles in Grade 5 is a crack that opened in Grade 2 and was papered over with drilling.
The fix is never to push harder on the current topic — it's to find the real gap and rebuild from there.
Each grade builds directly on the one before
Tap any grade to open the full skill list for that year in your country.
Number sense
Counting means amounts.
leads to place valueOpen → 1 Grade 1Place value & ±within 20
Place value and addition/subtraction within 20.
leads to bigger numbersOpen → 2 Grade 2Regrouping & equal groups
Regrouping (carrying) and equal groups.
leads to multiplicationOpen → 3 Grade 3×, ÷ & fractions as numbers
Multiplication, division, fractions as numbers.
leads to fraction operationsOpen → 4 Grade 4Multi-digit & equivalence
Multi-digit operations, fraction equivalence, first decimals.
leads to fraction arithmeticOpen → 5 Grade 5Unlike fractions & decimals
Unlike fractions, decimal operations, volume.
leads to ratios & early algebraOpen →Worried a gap has opened somewhere in the chain?
A free discovery class traces the struggle back to the real gap — then shows you exactly how we rebuild from there.
Pick your country for the bounds and the arc
Every system bounds "elementary" a little differently — but the underlying arc is shared. Each card shows the framework, what it means in one sentence, what the arc covers, and the one transition that makes or breaks it.
United States · Kindergarten – Grade 5
US elementary school runs Kindergarten through Grade 5, built on five domains that recur each year.
The elementary arc covers
- Counting and cardinality (Kindergarten)
- Operations and algebraic thinking — addition, subtraction, then multiplication and division
- Number and operations in base ten — place value to a million by Grade 5
- Fractions — as numbers (Grade 3), equivalence (Grade 4), unlike-denominator operations (Grade 5)
- Measurement, data and geometry throughout
The jump from whole numbers to fractions around Grades 3–4. It's where most elementary struggles begin.
India · Classes 1–5 (Primary)
Indian primary maths runs Classes 1–5 and is being rebuilt around activity and reasoning.
The primary arc covers
- Numbers, place value and the four operations, growing year by year
- Tables built through logic, not chanting
- Fractions, decimals and the first percentages
- Measurement, money, shapes, patterns and data handling
- Real-life word problems grounding every operation
Word problems. Many Indian children can compute but freeze on "how much in total?" — the new books fix this by starting every concept in a real situation.
United Kingdom · Reception – Year 6 (Primary)
UK primary maths runs to Year 6 and introduces fractions earlier than most systems.
The primary arc covers
- Number and place value, to 10,000,000 by Year 6
- The four operations, with all times tables to 12×12 expected by Year 4
- Fractions from Year 1, then decimals, percentages, ratio and proportion
- Measurement, geometry (including coordinates and angles) and statistics
- Early algebra — formulae and unknowns — in Year 6
Times-table fluency by Year 4. Gaps here slow everything that follows.
Canada · Elementary (Grades 1–6/8)
Canadian elementary maths is taught across six strands, with coding and financial literacy from Grade 1.
The elementary arc covers
- Number — whole numbers, then fractions, decimals and percentages
- Algebra — patterns, equality, and coding from the start
- Data — graphs and probability
- Spatial sense — geometry and measurement
- Financial literacy — money and budgeting as its own strand
Patterns into algebra. Canada threads pattern-thinking through every year so the move to variables feels natural.
Australia · Foundation – Year 6 (Primary)
Australian primary maths covers six strands with fewer topics taught in greater depth.
The primary arc covers
- Number — counting to fractions, decimals and percentages
- Algebra — patterns and number properties
- Measurement and Space — units, area, volume, shapes and location
- Statistics and Probability — data and chance from early on
- A deliberate focus on mastering essential facts before moving on
Depth over coverage. Version 9.0 cut about a fifth of the old content so each idea is learned properly — the right instinct for a foundation.
GCC · Primary
- Government schools follow national Ministry of Education frameworks (such as the UAE MOE curriculum).
- Private and international schools run the British National Curriculum, American Common Core, or the IB programme.
- Regulators such as Dubai's KHDA and Abu Dhabi's ADEK oversee quality across all of them.
The framework name changes, the primary arc does not.
The primary arc covers
- Numbers and the four operations
- Fractions, decimals and percentages
- Measurement, geometry, patterns and data
Match the framework to your child's school, then follow the matching grade pages.
Built for a chain, not six separate years
Elementary math is a chain. Bhanzu's whole method is built for it.
See the method work before you decide
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Why parents trust the method
Bhanzu was founded by Neelakantha Bhanu Prakash — the World's Fastest Human Calculator and a 4× Guinness World Record holder — on one belief: every child can love math when they're taught to understand it.
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The elementary picture, on one page
- Elementary math runs from counting (Kindergarten) to unlike fractions and decimals (Grade 5) — one connected chain.
- "Elementary" goes by different bounds and names by country, but the arc is shared.
- The whole-number-to-fraction jump is the riskiest transition.
- Struggles usually trace back to an earlier gap, not the current topic.
- Use the grade links above for your child's exact skills.
Build every link in the chain — so nothing breaks later
See how your child learns elementary math on understanding, not memory, in a free, live discovery class with a top-2% Bhanzu trainer. Online worldwide, or in person at our McKinney, Texas centre.