# Key stage 2: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 56 concepts ready. In the app: https://ai.page/roadmap/uk-nc-2013-key-stage-2-mathematics Part of: [National Curriculum in England](https://ai.page/roadmap/uk-nc-2013.md) Goal: The national curriculum in England: Key stages 1 and 2 framework document, Key stage 2 ## 1. Number – addition, subtraction, multiplication and division - [Order of operations](https://ai.page/c/order-of-operations/index.md): Understand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations ## 2. Number – fractions (including decimals and percentages) - [Reading Decimal Places](https://ai.page/c/reading-decimal-places/index.md): Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths) - [Multiplying and dividing (age 10+)](https://ai.page/c/multiplying-and-dividing-age-10/index.md): Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart ## 3. Number - addition and subtraction - [Mental addition and subtraction (age 7+)](https://ai.page/c/mental-addition-and-subtraction-age-7/index.md): Mentally add and subtract a three-digit number and ones - [Mentally adding tens to 3-digit numbers](https://ai.page/c/mentally-adding-tens-to-3-digit-numbers/index.md): Mentally add and subtract a three-digit number and tens - [Mentally adding hundreds to 3-digit numbers](https://ai.page/c/mentally-adding-hundreds-to-3-digit-numbers/index.md): Mentally add and subtract a three-digit number and hundreds - [Adding and subtracting (age 7+)](https://ai.page/c/adding-and-subtracting-age-7/index.md): Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction - [Estimating by rounding](https://ai.page/c/estimating-by-rounding/index.md): Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning - [Missing number problems (age 7+)](https://ai.page/c/missing-number-problems-age-7/index.md): Solve addition and subtraction problems including missing-number problems, using number facts, place value, and more complex methods - [Adding and subtracting (age 8+)](https://ai.page/c/adding-and-subtracting-age-8/index.md): Add and subtract numbers with up to four digits using formal written methods of columnar addition and subtraction - [Two-step addition and subtraction problems](https://ai.page/c/two-step-addition-and-subtraction-problems/index.md): Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why ## 4. Number - fractions - [Tenths](https://ai.page/c/tenths/index.md): Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and from dividing one-digit numbers or quantities by 10 - [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line/index.md): Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators - [Simple Fraction Sums](https://ai.page/c/simple-fraction-sums/index.md): Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7) - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Comparing fractions (age 7+)](https://ai.page/c/comparing-fractions-age-7/index.md): Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison ## 5. Geometry - properties of shapes - [2-D shapes (age 7+)](https://ai.page/c/2-d-shapes-age-7/index.md): Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [Right Angles & Turns](https://ai.page/c/right-angles-and-turns/index.md): Identify right angles; recognise that two right angles make a half-turn, three make three-quarters, and four make a complete turn - [Parallel and perpendicular lines](https://ai.page/c/parallel-and-perpendicular-lines/index.md): Identify horizontal and vertical lines and pairs of perpendicular and parallel lines ## 6. Measurement - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes - [Giving Change](https://ai.page/c/giving-change/index.md): Add and subtract amounts of money to give change, using both £ and p in practical contexts - [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation - [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours - [Time Units and Calendar Facts](https://ai.page/c/time-units-and-calendar-facts/index.md): Know the number of seconds in a minute and the number of days in each month, year, and leap year - [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks ## 7. Number - multiplication and division - [Times tables (age 7+)](https://ai.page/c/times-tables-age-7/index.md): Recall and use multiplication and division facts for the 3, 4, and 8 multiplication tables - [Written Multiplication & Division](https://ai.page/c/written-multiplication-and-division/index.md): Write and calculate mathematical statements for multiplication and division using known tables, including two-digit × one-digit, using mental and progressing to formal written methods - [Multi-Step Multiply & Divide](https://ai.page/c/multi-step-multiply-and-divide/index.md): Solve problems involving multiplication and division, including scaling problems and correspondence problems where n objects are connected to m objects - [All times tables to 12×12](https://ai.page/c/all-times-tables-to-12-12/index.md): Recall multiplication and division facts for multiplication tables up to 12 × 12 - [Mental multiplication and division](https://ai.page/c/mental-multiplication-and-division/index.md): Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers - [Factor Pairs & Commutativity](https://ai.page/c/factor-pairs-and-commutativity/index.md): Recognise and use factor pairs and commutativity in mental calculations - [Written Multiplication](https://ai.page/c/written-multiplication/index.md): Multiply two-digit and three-digit numbers by a one-digit number using formal written layout - [Multiply & Add Problems](https://ai.page/c/multiply-and-add-problems/index.md): Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems ## 8. Number - number and place value - [Skip Counting (4s, 8s, 50s, 100s)](https://ai.page/c/skip-counting-4s-8s-50s-100s/index.md): Count from 0 in multiples of 4, 8, 50, and 100 - [The three digits of a three-digit number](https://ai.page/c/the-three-digits-of-a-three-digit-number/index.md): Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones - [10 or 100 More or Less](https://ai.page/c/10-or-100-more-or-less/index.md): Find 10 or 100 more or less than a given number up to 1000 - [Ordering Numbers to 1000](https://ai.page/c/ordering-numbers-to-1000/index.md): Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line - [Reading and writing numbers to 1000](https://ai.page/c/reading-and-writing-numbers-to-1000/index.md): Read and write numbers to 1000 in numerals, number names, and expanded form - [Place Value to 1000](https://ai.page/c/place-value-to-1000/index.md): Solve number problems and practical problems involving place value of numbers up to 1000 - [Counting in 6s](https://ai.page/c/counting-in-6s/index.md): Count in multiples of 6, 7, 9, 25, and 1000 - [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) - [1000 More or Less](https://ai.page/c/1000-more-or-less/index.md): Find 1000 more or less than a given number - [Negative Numbers](https://ai.page/c/negative-numbers/index.md): Count backwards through zero to include negative numbers - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [Rounding to 10, 100, 1000](https://ai.page/c/rounding-to-10-100-1000/index.md): Round any number to the nearest 10, 100, or 1000 - [Place Value Problem-Solving](https://ai.page/c/place-value-problem-solving/index.md): Solve number and practical problems involving place value with increasingly large positive numbers - [Roman numerals to 100](https://ai.page/c/roman-numerals-to-100/index.md): Read Roman numerals to 100 (I to C) and understand that the numeral system changed over time to include zero and place value ## 9. Statistics - [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables - [Sorting Data into Categories](https://ai.page/c/sorting-data-into-categories/index.md): Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity - [Sorting into categories (age 6+)](https://ai.page/c/sorting-into-categories-age-6/index.md): Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another ## Health: 0 of 100 Of its 56 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Order of operations has no explanation yet - Reading Decimal Places has no explanation yet - Multiplying and dividing (age 10+) has no explanation yet - Mental addition and subtraction (age 7+) comes before The three digits of a three-digit number, which it needs - Mental addition and subtraction (age 7+) has no explanation yet - Mentally adding tens to 3-digit numbers comes before The three digits of a three-digit number, which it needs - Mentally adding tens to 3-digit numbers comes before 10 or 100 More or Less, which it needs - Mentally adding tens to 3-digit numbers has no explanation yet - Mentally adding hundreds to 3-digit numbers comes before The three digits of a three-digit number, which it needs - Mentally adding hundreds to 3-digit numbers comes before 10 or 100 More or Less, which it needs - Mentally adding hundreds to 3-digit numbers has no explanation yet - Adding and subtracting (age 7+) has no explanation yet - Estimating by rounding has no explanation yet - Missing number problems (age 7+) has no explanation yet - Adding and subtracting (age 8+) comes before Place value of each digit, which it needs - Adding and subtracting (age 8+) has no explanation yet - Two-step addition and subtraction problems has no explanation yet - Tenths has no explanation yet - Unit fractions has no explanation yet - Fractions on a number line has no explanation yet - Equivalent fractions has no explanation yet - Simple Fraction Sums has no explanation yet - Comparing fractions has no explanation yet - Comparing fractions (age 7+) has no explanation yet - 2-D shapes (age 7+) has no explanation yet - Understanding angles has no explanation yet - Right Angles & Turns has no explanation yet - Parallel and perpendicular lines has no explanation yet - Calculating with measurements has no explanation yet - Measuring Perimeters has no explanation yet - Giving Change has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Estimating answers (age 7+) has no explanation yet - Time Units and Calendar Facts has no explanation yet - Comparing Time Durations has no explanation yet - Times tables (age 7+) has no explanation yet - Written Multiplication & Division has no explanation yet - Multi-Step Multiply & Divide has no explanation yet - All times tables to 12×12 has no explanation yet - Mental multiplication and division has no explanation yet - Factor Pairs & Commutativity has no explanation yet - Written Multiplication has no explanation yet - Multiply & Add Problems has no explanation yet - Skip Counting (4s, 8s, 50s, 100s) has no explanation yet - The three digits of a three-digit number has no explanation yet - 10 or 100 More or Less has no explanation yet - Ordering Numbers to 1000 has no explanation yet - Representing Numbers has no explanation yet - Reading and writing numbers to 1000 has no explanation yet - Place Value to 1000 has no explanation yet Credit: The structure of The national curriculum in England: Key stages 1 and 2 framework document; concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.