# First level: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 26 concepts ready. In the app: https://ai.page/roadmap/gb-sco-first-level Part of: [Curriculum for Excellence: Mathematics](https://ai.page/roadmap/gb-sco.md) Goal: Curriculum for Excellence: experiences and outcomes: Mathematics, First level ## 1. Number, money and measure · Estimation and rounding - [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 - [Money Addition & Subtraction](https://ai.page/c/money-addition-and-subtraction/index.md): Solve simple money problems involving addition and subtraction, including giving change - [Mental and written addition and subtraction](https://ai.page/c/mental-and-written-addition-and-subtraction/index.md): Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures ## 3. Number, money and measure · Fractions, decimal fractions and percentages including ratio and proportion - [Fractions of amounts](https://ai.page/c/fractions-of-amounts/index.md): Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity - [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 - [Understanding fractions](https://ai.page/c/understanding-fractions-2/index.md): Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents - [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 - [Fractions, Decimals & Percentages](https://ai.page/c/fractions-decimals-and-percentages/index.md): Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically ## 4. Number, money and measure · Money - [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 - [Adding money and giving change](https://ai.page/c/adding-money-and-giving-change/index.md): Find different combinations of coins that equal the same amount of money ## 5. Number, money and measure · Time - [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 - [Days, Weeks, Months & Years](https://ai.page/c/days-weeks-months-and-years/index.md): Recognise and use language relating to dates, including days of the week, weeks, months, and years - [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 ## 6. 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 - [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit - [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 - [Area (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft) ## 7. Number, money and measure · Patterns and relationships - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences ## 8. Shape, position and movement · Properties of 2D objects and shapes and 3D shapes and 3D objects - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [Building with 3-D Shapes](https://ai.page/c/building-with-3-d-shapes/index.md): Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes from component shapes ## 9. Shape, position and movement · Angle, symmetry and using technology - [Turns & Directions](https://ai.page/c/turns-and-directions/index.md): Describe movement and direction, including whole, half, quarter, and three-quarter turns - [Position, direction, and movement](https://ai.page/c/position-direction-and-movement/index.md): Use mathematical vocabulary to describe position, direction, and movement, including straight lines and distinguishing rotation as a turn in terms of right angles (quarter, half, three-quarter turns, clockwise and anti-clockwise) ## 10. 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 ## 11. 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 - [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 ## 12. Information handling · Ideas of chance - [Likelihood Language](https://ai.page/c/likelihood-language/index.md): Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible ## Health: 0 of 100 Of its 26 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 - Money Addition & Subtraction comes before Adding money and giving change, which it needs - Money Addition & Subtraction has no explanation yet - Mental and written addition and subtraction has no explanation yet - Fractions of amounts has no explanation yet - Unit fractions has no explanation yet - Understanding fractions has no explanation yet - Decimal & Percent Notation has no explanation yet - Fractions, Decimals & Percentages has no explanation yet - Estimating and comparing money comes before Calculating with measurements, which it needs - Estimating and comparing money has no explanation yet - Adding money and giving change has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Days, Weeks, Months & Years has no explanation yet - Comparing Time Durations has no explanation yet - Measuring with different units has no explanation yet - Comparing lengths by measuring has no explanation yet - Calculating with measurements has no explanation yet - Area (age 8+) has no explanation yet - Patterns & Sequences has no explanation yet - 2-D shapes has no explanation yet - Building with 3-D Shapes has no explanation yet - Turns & Directions has no explanation yet - Position, direction, and movement has no explanation yet - Transformations on a grid has no explanation yet - Pictograms and tally charts (age 6+) has no explanation yet - Sorting Data into Categories has no explanation yet - Likelihood Language 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.