
Number-sense lessons, worksheets and assessments for Year/Grade 1 to Year/Grade 10 — counting and place value in the early years, fractions and decimals in the middle years, integers and percentages in lower secondary. Each resource is aligned to the Australian Curriculum v9.0 and the US Common Core / state standards, differentiated across three levels, and ready to teach from the next lesson.
Numbers is the strand that runs from kindergarten counting to senior algebra, and the way it is taught in the early years sets the ceiling for every later strand. Tutero’s resources start where the curriculum starts — subitising, one-to-one correspondence, place value — and walk students all the way through to operations with integers, decimals and percentages in Year/Grade 10.
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Every worksheet, lesson plan and assessment is built around concrete-pictorial-abstract progression, so students see a quantity, draw or model it, then write the symbol. Tasks use familiar contexts — money, measurement, sport scores, recipe quantities — so number sense transfers out of the classroom rather than living only on the page.
The question banks scaffold from recall (name this number, place it on a number line) through procedural fluency (add, subtract, multiply, divide across number types) to reasoning (compare strategies, justify which is most efficient). Worked solutions show the thinking step by step, which means the same resource works whether a student is catching up or pushing ahead.

Coverage spans the full number system: whole numbers, fractions, decimals, percentages, integers, rational numbers, and early work with irrationals in Year/Grade 9–10. Visual models — number lines, arrays, area models, double number lines — appear consistently across year levels so students see the same representations evolve as the mathematics deepens.
Teachers get a complete suite for the numbers strand: lesson plans with explicit teaching sequences, slide decks for whole-class teaching, differentiated worksheets, formative exit tickets, and end-of-unit assessments. Every resource maps to a specific curriculum descriptor so planning takes minutes, not hours.
Real-world tasks anchor the abstract. Students compare unit prices at the supermarket, calculate percentage discounts, estimate distances on a map, and reason about temperature changes that cross zero. This is where number sense becomes durable — when students choose the right operation because the context demands it, not because the worksheet told them to.
- You in approximately four minutes
Foundational Number Sense (Year/Grade 1–3)
In the early years, the resources focus on counting forwards and backwards, subitising small collections, place value to three digits, and the first move into addition and subtraction within 20 and then 100. Lessons use ten-frames, bundling sticks and base-ten blocks so students physically build numbers before they write them. Formative checks are short and frequent — three questions on an exit ticket is enough to know who needs another go tomorrow.
Intermediate Number Concepts (Year/Grade 4–6)
From Year/Grade 4 to 6, the focus shifts to multi-digit multiplication and division, the fraction-decimal-percentage triangle, and reasoning about factors, multiples and primes. Worksheets sequence carefully: array models for multiplication, area models for fractions, and double number lines for percentages. By the end of Year/Grade 6, students should be able to move flexibly between a fraction, a decimal and a percentage of the same quantity — and the assessments test exactly that flexibility.
Advanced Number Theory and Reasoning (Year/Grade 7–10)
In lower secondary, the resources extend students into integers, rational numbers, index laws, scientific notation and the early language of irrationals. Tasks deliberately mix routine practice with reasoning prompts — “show two different ways to calculate 15% of 80” — so students develop strategy choice, not just procedural speed. Project-style assessments connect numbers to real contexts: budgets, sports statistics, and small data investigations.