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Global Curriculum Alignment Engine

International Standards & Skill Competency Map

Cross-referenced curriculum framework linking US Common Core, UK National Curriculum (KS1/KS2), Australian ACARA, Canadian Provincial, and Indian CBSE/NEP standards to targeted printable practice.

Kindergarten / Reception / Foundation Mathematics Counting & Cardinality

Counting Objects & One-to-One Correspondence up to 20

Count objects with one-to-one accuracy, recognize numbers 1–20, and compare group quantities.

🇺🇸 United States (CCSS) CCSS.MATH.K.CC.B.4 Understand the relationship between numbers and quantities; connect counting to cardinality.
🇬🇧 United Kingdom (DfE) EYFS / Year 1 Number Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
🇦🇺 Australia (ACARA) AC9MFN01 / ACMNA001 Establish understanding of the language and processes of counting by naming numbers in sequences.
🇨🇦 Canada (Provincial) Ontario Math B1.1 Read, represent, compare, and order whole numbers up to and including 20.
🇮🇳 India (CBSE / NEP) NEP FLN Stage 1 (Math C-1) Count objects up to 20; recognize and write numerals 1 to 20 with number names.
Kindergarten / Reception / Foundation Reading & Phonics Phonological Awareness

Beginning Letter Sounds & CVC Sound Blending

Demonstrate understanding of spoken words, syllables, and sounds (phonemes). Blend initial consonants with short vowels.

🇺🇸 United States (CCSS) CCSS.ELA-LITERACY.RF.K.2 Demonstrate understanding of spoken words, syllables, and sounds (phonemes).
🇬🇧 United Kingdom (DfE) EYFS / Letters & Sounds Phase 2 Recognize Phase 2 grapheme-phoneme correspondences and blend simple CVC words.
🇦🇺 Australia (ACARA) AC9EFLY07 / ACELA1438 Recognize and write lower- and uppercase letters and know the most common sound for each.
🇨🇦 Canada (Provincial) Ontario Language B1.2 Demonstrate understanding of phonemic awareness by blending, segmenting, and isolating phonemes.
🇮🇳 India (CBSE / NEP) NIPUN Bharat Vidya Pravesh Identify beginning and ending phonemes in words; associate letters with corresponding sounds.
Kindergarten / Reception / Foundation Mathematics Geometry

2D Shape Identification & Attribute Matching

Identify, describe, and compare two-dimensional shapes (circle, square, triangle, rectangle) regardless of orientation or size.

🇺🇸 United States (CCSS) CCSS.MATH.K.G.A.2 Correctly name shapes regardless of their orientations or overall size.
🇬🇧 United Kingdom (DfE) Year 1 Geometry Recognize and name common 2D shapes, including rectangles, squares, circles, and triangles.
🇦🇺 Australia (ACARA) AC9MFSP01 / ACMMG009 Sort, describe, and name familiar two-dimensional shapes in the environment.
🇨🇦 Canada (Provincial) Ontario Math E1.1 Sort and identify two-dimensional shapes by their geometric properties.
🇮🇳 India (CBSE / NEP) CBSE Foundational Stage (Maths C-3) Observe, identify, and sort basic 2D shapes by counting sides and corners.
Grade 1 / Year 1 Mathematics Operations & Algebraic Thinking

Addition & Subtraction Fluency within 20

Add and subtract within 20, demonstrating fluency for addition and subtraction within 10 using mental strategies.

🇺🇸 United States (CCSS) CCSS.MATH.1.OA.C.6 Add and subtract within 20, demonstrating fluency for facts within 10.
🇬🇧 United Kingdom (DfE) Year 1 Number (Addition & Subtraction) Represent and use number bonds and related subtraction facts within 20.
🇦🇺 Australia (ACARA) AC9M1N04 / ACMNA015 Represent and solve simple addition and subtraction problems using a range of strategies.
🇨🇦 Canada (Provincial) Ontario Math B2.2 Recall and apply addition facts to 20 and related subtraction facts.
🇮🇳 India (CBSE / NEP) CBSE Grade 1 (Math C-2) Perform addition and subtraction of numbers up to 20 using concrete objects and number lines.
Grade 1 / Year 1 Reading & Language Arts Foundational Reading

High-Frequency Sight Words & Decodable Sentences

Recognize and read grade-appropriate irregularly spelled sight words and read decodable text with accuracy and purpose.

🇺🇸 United States (CCSS) CCSS.ELA-LITERACY.RF.1.3.G Recognize and read grade-appropriate irregularly spelled words.
🇬🇧 United Kingdom (DfE) Year 1 Reading (Word Reading) Read common exception words, noting unusual correspondences between spelling and sound.
🇦🇺 Australia (ACARA) AC9E1LY08 / ACELA1778 Read an increasing number of high-frequency words and decode unfamiliar words.
🇨🇦 Canada (Provincial) Ontario Language B2.1 Read familiar words, high-frequency words, and regular decodable words accurately.
🇮🇳 India (CBSE / NEP) NIPUN Bharat Grade 1 FLN Read simple 4–5 word sentences with comprehension and sight word automaticity.
Grade 2 / Year 2 Mathematics Number & Operations in Base Ten

Two-Digit Addition & Subtraction with Regrouping

Fluently add and subtract within 100 using strategies based on place value, properties of operations, and column algorithms.

🇺🇸 United States (CCSS) CCSS.MATH.2.NBT.B.5 Fluently add and subtract within 100 using strategies based on place value and properties.
🇬🇧 United Kingdom (DfE) Year 2 Number (Addition & Subtraction) Add and subtract numbers using concrete objects, pictorial representations, and mentally, including two two-digit numbers.
🇦🇺 Australia (ACARA) AC9M2N04 / ACMNA030 Solve simple addition and subtraction problems using efficient mental and written strategies.
🇨🇦 Canada (Provincial) Ontario Math B2.4 Use mental math and written strategies to add and subtract two-digit whole numbers with regrouping.
🇮🇳 India (CBSE / NEP) CBSE Grade 2 (Math C-1.2) Add and subtract 2-digit numbers with carrying and borrowing using place value understanding.
Grade 2 / Year 2 Reading & Language Arts Reading Comprehension

Key Details & Asking Questions (Who, What, Where, When, Why)

Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.

🇺🇸 United States (CCSS) CCSS.ELA-LITERACY.RI.2.1 Ask and answer questions (who, what, where, when, why, how) to demonstrate understanding of text.
🇬🇧 United Kingdom (DfE) Year 2 Reading (Comprehension) Answer and ask questions based on what is being read to show understanding.
🇦🇺 Australia (ACARA) AC9E2LY05 / ACELY1670 Use comprehension strategies to build literal and inferred meaning about characters and events.
🇨🇦 Canada (Provincial) Ontario Language B1.3 Identify explicit information and make simple inferences in short informational and narrative texts.
🇮🇳 India (CBSE / NEP) CBSE Grade 2 English (C-2) Read and comprehend short stories, poems, and answer simple factual and inference questions.
Grade 2 / Year 2 Mathematics Measurement & Data

Telling Time to 5 Minutes & Money Calculations

Tell and write time from analog and digital clocks to the nearest five minutes. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies.

🇺🇸 United States (CCSS) CCSS.MATH.2.MD.C.7 & 2.MD.C.8 Tell time to nearest 5 minutes. Solve problems involving dollars and coins.
🇬🇧 United Kingdom (DfE) Year 2 Measurement Tell and write the time to five minutes. Recognize and use symbols for pounds (£) and pence (p).
🇦🇺 Australia (ACARA) AC9M2M02 & AC9M2N05 Tell time to the quarter-hour. Count and represent values using coins and notes.
🇨🇦 Canada (Provincial) Ontario Math E2.4 & F1.1 Tell and represent time to five minutes. Identify and count various denominations of money.
🇮🇳 India (CBSE / NEP) CBSE Grade 2 (Math C-4) Read clock face to hour and half-hour. Recognize Indian currency notes and coins; make simple amounts.
Grade 3 / Year 3 Mathematics Operations & Algebraic Thinking

Multiplication & Division Concepts within 100

Understand properties of multiplication and the relationship between multiplication and division. Multiply and divide within 100 fluently.

🇺🇸 United States (CCSS) CCSS.MATH.3.OA.C.7 Fluently multiply and divide within 100, using properties and strategies.
🇬🇧 United Kingdom (DfE) Year 3 Number (Multiplication & Division) Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.
🇦🇺 Australia (ACARA) AC9M3N04 / ACMNA056 Recall multiplication facts of two, three, five and ten and related division facts.
🇨🇦 Canada (Provincial) Ontario Math B2.6 Represent and solve problems involving multiplication of two-digit whole numbers.
🇮🇳 India (CBSE / NEP) CBSE Grade 3 (Math C-2) Understand multiplication as repeated addition and division as equal sharing up to 10×10.
Grade 3 / Year 3 Mathematics Number & Operations—Fractions

Understanding Fractions as Numbers (Unit Fractions & Number Lines)

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts. Represent fractions on a number line.

🇺🇸 United States (CCSS) CCSS.MATH.3.NF.A.1 Understand a fraction 1/b as 1 part when a whole is partitioned into b equal parts.
🇬🇧 United Kingdom (DfE) Year 3 Fractions Count up and down in tenths; recognize, find and write fractions of a discrete set of objects.
🇦🇺 Australia (ACARA) AC9M3N05 / ACMNA058 Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples.
🇨🇦 Canada (Provincial) Ontario Math B1.6 Use fractions to represent parts of a whole, set of objects, or points on a number line.
🇮🇳 India (CBSE / NEP) CBSE Grade 3 (Math C-1.4) Identify simple fractions (1/2, 1/3, 1/4) using paper folding, drawings, and everyday objects.
Grade 4 / Year 4 Mathematics Number & Operations in Base Ten

Multi-Digit Multiplication & Division Algorithms

Multiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers. Find whole-number quotients and remainders with up to four-digit dividends.

🇺🇸 United States (CCSS) CCSS.MATH.4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.
🇬🇧 United Kingdom (DfE) Year 4 Number (Multiplication & Division) Multiply two-digit and three-digit numbers by a one-digit number using formal written layout.
🇦🇺 Australia (ACARA) AC9M4N06 / ACMNA076 Develop efficient mental and written strategies for multiplication and division.
🇨🇦 Canada (Provincial) Ontario Math B2.8 Multiply two-digit whole numbers by two-digit whole numbers, and divide three-digit whole numbers.
🇮🇳 India (CBSE / NEP) CBSE Grade 4 (Math C-2) Perform division of 3- and 4-digit numbers with step-by-step division brackets and remainders.
Grade 4 / Year 4 Mathematics Fractions & Decimals

Decimal Notation & Tenths/Hundredths Equivalence

Understand decimal notation for fractions with denominators 10 or 100. Compare two decimals to hundredths by reasoning about their size.

🇺🇸 United States (CCSS) CCSS.MATH.4.NF.C.6 Use decimal notation for fractions with denominators 10 or 100.
🇬🇧 United Kingdom (DfE) Year 4 Fractions (including Decimals) Recognize and write decimal equivalents of any number of tenths or hundredths.
🇦🇺 Australia (ACARA) AC9M4N08 / ACMNA079 Recognize that the place value system can be extended to tenths and hundredths.
🇨🇦 Canada (Provincial) Ontario Math B1.7 Read, represent, compare, and order decimal numbers up to hundredths.
🇮🇳 India (CBSE / NEP) CBSE Grade 4 (Math C-3) Understand decimals as fractions with denominators 10 and 100; apply to money and metric measurements.
Grade 5 / Year 5 Mathematics Number & Operations—Fractions

Adding & Subtracting Fractions with Unlike Denominators

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions with like denominators.

🇺🇸 United States (CCSS) CCSS.MATH.5.NF.A.1 Add and subtract fractions with unlike denominators by finding common denominators.
🇬🇧 United Kingdom (DfE) Year 5 Fractions Add and subtract fractions with the same denominator and denominators that are multiples of the same number.
🇦🇺 Australia (ACARA) AC9M5N06 / ACMNA103 Solve problems involving addition and subtraction of fractions with the same or related denominators.
🇨🇦 Canada (Provincial) Ontario Math B2.5 Add and subtract fractions with simple unlike denominators using equivalent fractions.
🇮🇳 India (CBSE / NEP) CBSE Grade 5 (Math C-1) Perform operations on fractions: finding LCM of denominators, addition, and subtraction of mixed numbers.
Grade 5 / Year 5 Mathematics Measurement & Data

Volume of Rectangular Prisms (V = L × W × H)

Recognize volume as an attribute of solid figures and understand concepts of volume measurement. Relate volume to multiplication and addition.

🇺🇸 United States (CCSS) CCSS.MATH.5.MD.C.5 Relate volume to the operations of multiplication and addition and solve real world problems.
🇬🇧 United Kingdom (DfE) Year 5 Measurement Estimate volume (for example, using 1 cm³ blocks to build cuboids) and capacity.
🇦🇺 Australia (ACARA) AC9M5M03 / ACMMG108 Choose appropriate units of measurement for length, area, volume, capacity and mass.
🇨🇦 Canada (Provincial) Ontario Math E2.6 Determine the volume of rectangular prisms using the formula V = area of base × height.
🇮🇳 India (CBSE / NEP) CBSE Grade 5 (Math C-4) Calculate volume of cubes and cuboids using standard cubic units (cm³, m³).
Grade 6 / Year 6 Mathematics Ratios & Proportional Relationships

Ratios, Rates, and Unit Price Problem Solving

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Solve unit rate problems including unit pricing and constant speed.

🇺🇸 United States (CCSS) CCSS.MATH.6.RP.A.1 & 6.RP.A.2 Understand the concept of a ratio and unit rate to describe relationships between quantities.
🇬🇧 United Kingdom (DfE) Year 6 Ratio & Proportion Solve problems involving the relative sizes of two quantities where missing values can be found.
🇦🇺 Australia (ACARA) AC9M6N08 / ACMNA125 Solve problems involving simple rates, ratios, and percentages.
🇨🇦 Canada (Provincial) Ontario Math B2.9 Represent ratios and rates using whole numbers, fractions, and symbols, and solve related problems.
🇮🇳 India (CBSE / NEP) CBSE Grade 6 (Math C-5) Understand ratio as comparison of two quantities of same kind; unitary method and speed/rate problems.
Grade 6 / Year 6 Mathematics Expressions & Equations

One-Variable Equations & Order of Operations (PEMDAS)

Write, read, and evaluate expressions in which letters stand for numbers. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q.

🇺🇸 United States (CCSS) CCSS.MATH.6.EE.B.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q.
🇬🇧 United Kingdom (DfE) Year 6 Algebra Use simple formulae, generate and describe linear number sequences, and find pairs of numbers that satisfy an equation.
🇦🇺 Australia (ACARA) AC9M6A02 / ACMNA133 Write and evaluate numerical expressions with and without grouping symbols.
🇨🇦 Canada (Provincial) Ontario Math C2.3 Solve equations that involve whole numbers and decimals, using a variety of tools and strategies.
🇮🇳 India (CBSE / NEP) CBSE Grade 6 (Math C-8) Introduction to variables, algebraic expressions, and solving simple linear equations.

🌍 Why Global Curriculum Alignment Matters for Homeschoolers & Teachers

Mathematics and foundational literacy competencies are universal. Whether a child is learning addition in New York (Common Core 2.NBT.B.5), London (Year 2 Number), Sydney (ACARA ACMNA030), Toronto (Ontario Math B2.4), or New Delhi (NEP FLN Stage), the cognitive sequence of moving from concrete manipulatives to pictorial representations and abstract mastery remains identical.

✓ Zero Content Duplication Access the exact learning activities vetted for cognitive rigor without navigating fragmented regional sites.
✓ Portfolio & Accreditation Ready Standard codes display on student mastery portfolios and certificates for homeschool compliance audits.
✓ Diagnostic Placement Integration Placement checks automatically map identified learning gaps to your specific national learning milestones.

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