# Second level: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 28 concepts ready. In the app: https://ai.page/roadmap/gb-sco-second-level Part of: [Curriculum for Excellence: Mathematics](https://ai.page/roadmap/gb-sco.md) Goal: Curriculum for Excellence: experiences and outcomes: Mathematics, Second level ## 1. Number, money and measure · Estimation and rounding - [Estimating by rounding](https://ai.page/c/estimating-by-rounding-maths/index.md): Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper and lower bounds of rounded values - [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 ## 2. Number, money and measure · Number and number processes including addition, subtraction, multiplication, division and negative numbers - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [Positive and Negative Numbers](https://ai.page/c/positive-and-negative-numbers/index.md): Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances ## 3. Number, money and measure · Multiples, factors and relationships and primes - [Factors, multiples, and primes](https://ai.page/c/factors-multiples-and-primes/index.md): Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems ## 4. Number, money and measure · Fractions, decimal fractions and percentages including ratio and proportion - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-maths/index.md): Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows - [Percentages as Fractions](https://ai.page/c/percentages-as-fractions/index.md): Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100% - [Decimal & Percent Notation](https://ai.page/c/decimal-and-percent-notation/index.md): Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value ## 5. Number, money and measure · Money - [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 - [Estimating and comparing money](https://ai.page/c/estimating-and-comparing-money/index.md): Estimate, compare, and calculate different measures including money in pounds and pence ## 6. Number, money and measure · Time - [12-hour and 24-hour time](https://ai.page/c/12-hour-and-24-hour-time/index.md): Read, write, and convert time between analogue and digital 12-hour and 24-hour clocks - [Telling time to the minute (age 9+)](https://ai.page/c/telling-time-to-the-minute-age-9/index.md): Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days) - [Reading tables](https://ai.page/c/reading-tables/index.md): Complete, read, and interpret information in tables, including timetables ## 7. Number, money and measure · Measurement - [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen - [Measurement Conversions](https://ai.page/c/measurement-conversions/index.md): Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes ## 8. Number, money and measure · Patterns and relationships - [Number Pattern Relationships](https://ai.page/c/number-pattern-relationships/index.md): Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane ## 9. Shape, position and movement · Properties of 2D objects and shapes and 3D shapes and 3D objects - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties - [Nets of 3-D Shapes](https://ai.page/c/nets-of-3-d-shapes/index.md): Identify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given flat arrangement of faces will fold into, checking whether a net will close completely, and sketching a net from a description or 3-D model; understand the relationship between the number of faces and the structure of the net - [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 ## 10. Shape, position and movement · Angle, symmetry and using technology - [What Is an Angle?](https://ai.page/c/what-is-an-angle/index.md): Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes - [Measuring angles](https://ai.page/c/measuring-angles/index.md): Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original - [Transformations on a Grid](https://ai.page/c/transformations-on-a-grid-maths/index.md): Identify, describe, and represent the position of a shape following a reflection or translation using appropriate language; know that the shape has not changed ## 11. Shape, position and movement · Angle, symmetry transformation - [Transformations on a grid](https://ai.page/c/transformations-on-a-grid/index.md): Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size - [2-D shapes (age 8+)](https://ai.page/c/2-d-shapes-age-8/index.md): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry ## 12. Information handling · Data and analysis - [Pictograms and tally charts (age 6+)](https://ai.page/c/pictograms-and-tally-charts-age-6/index.md): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data ## 13. Information handling · Ideas of chance - [Simple Chance Experiments](https://ai.page/c/simple-chance-experiments/index.md): Conduct simple probability experiments — flipping a coin, rolling a die, pulling coloured counters from a bag — record results, and compare experimental outcomes with expected theoretical outcomes ## Health: 0 of 100 Of its 28 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): - Estimating by rounding has no explanation yet - Estimating by rounding has no explanation yet - Fractions on a number line has no explanation yet - Positive and Negative Numbers has no explanation yet - Factors, multiples, and primes has no explanation yet - Fractions on a number line has no explanation yet - Percentages as Fractions has no explanation yet - Decimal & Percent Notation has no explanation yet - Giving Change has no explanation yet - Estimating and comparing money has no explanation yet - 12-hour and 24-hour time has no explanation yet - Telling time to the minute (age 9+) has no explanation yet - Reading tables has no explanation yet - Measuring with different units has no explanation yet - Measurement Conversions has no explanation yet - Measuring Perimeters has no explanation yet - Number Pattern Relationships has no explanation yet - Classifying shapes by properties has no explanation yet - Nets of 3-D Shapes has no explanation yet - 2-D shapes (age 7+) has no explanation yet - What Is an Angle? has no explanation yet - Measuring angles has no explanation yet - Coordinate Transformations has no explanation yet - Transformations on a Grid comes before Transformations on a grid, which it needs - Transformations on a Grid has no explanation yet - Transformations on a grid has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Pictograms and tally charts (age 6+) has no explanation yet - Simple Chance Experiments has no explanation yet Credit: The structure of Curriculum for Excellence: experiences and outcomes: Mathematics (https://education.gov.scot/curriculum-for-excellence/curriculum-areas/numeracy-and-mathematics/); 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.