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Skills available for Scotland third-level maths curriculum

Objectives are in black and IXL maths skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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NMM Number, money and measure

NMM.1 Estimation and rounding
- NMM.1.A I can round a number using an appropriate degree of accuracy, having taken into account the context of the problem.
- NMM.1.1 Rounds decimal fractions to three decimal places.
- NMM.1.2 Uses rounding to routinely estimate the answers to calculations.
NMM.2 Number and number processes
- NMM.2.A I can use a variety of methods to solve number problems in familiar contexts, clearly communicating my processes and solutions.
- NMM.2.B I can continue to recall number facts quickly and use them accurately when making calculations.
- NMM.2.C I can use my understanding of numbers less than zero to solve simple problems in context.
- NMM.2.1 Recalls quickly multiplication and division facts to the 10th multiplication table.
- NMM.2.2 Uses multiplication and division facts to the 12th multiplication table.
- NMM.2.3 Solves addition and subtraction problems working with whole numbers and decimal fractions to three decimal places.
- NMM.2.4 Solves addition and subtraction problems working with integers.
- NMM.2.5 Solves multiplication and division problems working with whole numbers and decimal fractions to three decimal places.
- NMM.2.6 Solves multiplication and division problems working with integers.
NMM.3 Multiples, factors and primes
- NMM.3.A I have investigated strategies for identifying common multiples and common factors, explaining my ideas to others, and can apply my understanding to solve related problems.
- NMM.3.B I can apply my understanding of factors to investigate and identify when a number is prime.
- NMM.3.1 Identifies common multiples, including the lowest common multiple for whole numbers and can explain method used.
- NMM.3.2 Identifies common factors, including the highest common factor for whole numbers and can explain method used.
- NMM.3.3 Identifies prime numbers to 100 and can explain method used.
- NMM.3.4 Solves problems using multiples and factors.
- NMM.3.5 Writes a given number as a product of its prime factors.
NMM.4 Powers and roots
- NMM.4.A Having explored the notation and vocabulary associated with whole number powers and the advantages of writing numbers in this form, I can evaluate powers of whole numbers mentally or using technology.
- NMM.4.1 Explains the notation and uses associated vocabulary appropriately, for example, index, exponent and power.
- NMM.4.2 Evaluates whole number powers, for example, 2? = 16.
- NMM.4.3 Expresses whole numbers as powers, for example, 27 = 3³.
NMM.5 Fractions, decimal fractions and percentages
NMM.6 Money
- NMM.6.A When considering how to spend my money, I can source, compare and contrast different contracts and services, discuss their advantages and disadvantages, and explain which offer best value to me.
- NMM.6.B I can budget effectively, making use of technology and other methods, to manage money and plan for future expenses.
- NMM.6.1 Demonstrates understanding of best value in relation to contracts and services when comparing products.
  - Which is the better coupon? (7-W.2)
- NMM.6.2 Chooses the best value for their personal situation and justifies choices.
- NMM.6.3 Budgets effectively, using digital technology where appropriate, showing development of financial capability.
- NMM.6.4 Demonstrates knowledge of financial terms, for example, debit/credit, APR, pa, direct debit/standing order and interest rate.
- NMM.6.5 Converts between different currencies.
NMM.7 Time
- NMM.7.A Using simple time periods, I can work out how long a journey will take, the speed travelled at or distance covered, using my knowledge of the link between time, speed and distance.
- NMM.7.1 Applies knowledge of the relationship between speed, distance and time to find each of the three variables.
- NMM.7.2 Calculates time durations across hours and days.
  - Find start and end times (7-X.3)
NMM.8 Measurement
- NMM.8.A I can solve practical problems by applying my knowledge of measure, choosing the appropriate units and degree of accuracy for the task, and using a formula to calculate area or volume when required.
- NMM.8.B Having investigated different routes to a solution, I can find the area of compound 2D shapes and the volume of compound 3D objects, applying my knowledge to solve practical problems.
- NMM.8.1 Chooses appropriate units for length, area and volume when solving practical problems.
- NMM.8.2 Converts between standard units to three decimal places and applies this when solving calculations of length, capacity, volume and area.
- NMM.8.3 Calculates the area of a 2D shape where the units are inconsistent.
- NMM.8.4 Finds the area of compound 2D shapes constructed from squares, rectangles and triangles.
  - Area of compound figures (7-HH.11)
  - Area of compound figures with triangles, semicircles and quarter circles (8-BB.15)
- NMM.8.5 Finds the volume of compound 3D objects constructed from cubes and cuboids.
  - Volume of cubes and cuboids (7-HH.18)
NMM.9 Mathematics – its impact on the world, past, present and future
- NMM.9.A I have worked with others to research a famous mathematician and the work they are known for, or investigated a mathematical topic, and have prepared and delivered a short presentation.
- NMM.9.1 Researches and communicates using appropriate mathematical vocabulary and notation, the work of a famous mathematician or a mathematical topic and explains the relevance and impact they have on society.
NMM.10 Patterns and relationships
- NMM.10.A Having explored number sequences, I can establish the set of numbers generated by a given rule and determine a rule for a given sequence, expressing it using appropriate notation.
- NMM.10.1 Generates number sequences from a given rule, for example, T = 4n + 6.
- NMM.10.2 Extends a given pattern and describes the rule.
- NMM.10.3 Expresses sequence rules in algebraic notation, for example, the cost of hiring a car is £75 plus a charge of £0·05 per mile, 'm' driven, C = 0.05m + 75.
NMM.11 Expressions and equations

SPM Shape, position and movement

SPM.1 Properties of 2D shapes and 3D objects
- SPM.1.A Having investigated a range of methods, I can accurately draw 2D shapes using appropriate mathematical instruments and methods.
- SPM.1.1 Demonstrates a variety of methods to accurately draw 2D shapes, including triangles and regular polygons (given the interior angle), using mathematical instruments.
SPM.2 Angle, symmetry and transformation
- SPM.2.A I can name angles and find their sizes using my knowledge of the properties of a range of 2D shapes and the angle properties associated with intersecting and parallel lines.

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NMM Number, money and measure

NMM.1 Estimation and rounding

NMM.1.A I can round a number using an appropriate degree of accuracy, having taken into account the context of the problem.

NMM.1.1 Rounds decimal fractions to three decimal places.

NMM.1.2 Uses rounding to routinely estimate the answers to calculations.

NMM.2 Number and number processes

NMM.2.A I can use a variety of methods to solve number problems in familiar contexts, clearly communicating my processes and solutions.

NMM.2.B I can continue to recall number facts quickly and use them accurately when making calculations.

NMM.2.C I can use my understanding of numbers less than zero to solve simple problems in context.

NMM.2.1 Recalls quickly multiplication and division facts to the 10th multiplication table.

NMM.2.2 Uses multiplication and division facts to the 12th multiplication table.

NMM.2.3 Solves addition and subtraction problems working with whole numbers and decimal fractions to three decimal places.

NMM.2.4 Solves addition and subtraction problems working with integers.

NMM.2.5 Solves multiplication and division problems working with whole numbers and decimal fractions to three decimal places.

NMM.2.6 Solves multiplication and division problems working with integers.

NMM.3 Multiples, factors and primes

NMM.3.A I have investigated strategies for identifying common multiples and common factors, explaining my ideas to others, and can apply my understanding to solve related problems.

NMM.3.B I can apply my understanding of factors to investigate and identify when a number is prime.

NMM.3.1 Identifies common multiples, including the lowest common multiple for whole numbers and can explain method used.

NMM.3.2 Identifies common factors, including the highest common factor for whole numbers and can explain method used.

NMM.3.3 Identifies prime numbers to 100 and can explain method used.

NMM.3.4 Solves problems using multiples and factors.

NMM.3.5 Writes a given number as a product of its prime factors.

NMM.4 Powers and roots

NMM.4.A Having explored the notation and vocabulary associated with whole number powers and the advantages of writing numbers in this form, I can evaluate powers of whole numbers mentally or using technology.

NMM.4.1 Explains the notation and uses associated vocabulary appropriately, for example, index, exponent and power.

NMM.4.2 Evaluates whole number powers, for example, 2? = 16.

NMM.4.3 Expresses whole numbers as powers, for example, 27 = 3³.

NMM.5 Fractions, decimal fractions and percentages

NMM.5.A I can solve problems by carrying out calculations with a wide range of fractions, decimal fractions and percentages, using my answers to make comparisons and informed choices for real-life situations.

NMM.5.B By applying my knowledge of equivalent fractions and common multiples, I can add and subtract commonly used fractions.

NMM.5.C Having used practical, pictorial and written methods to develop my understanding, I can convert between whole or mixed numbers and fractions.

NMM.5.D I can show how quantities that are related can be increased or decreased proportionally and apply this to solve problems in everyday contexts.

NMM.5.1 Converts fractions, decimal fractions or percentages into equivalent fractions, decimal fractions or percentages.

NMM.5.2 Adds and subtracts whole numbers and fractions, including when changing a denominator.

NMM.5.3 Converts between whole or mixed numbers, improper fractions and decimal fractions.

NMM.5.4 Uses knowledge of fractions, decimal fractions and percentages to carry out calculations with and without a calculator.

NMM.5.5 Solves problems in which related quantities are increased or decreased proportionally.

NMM.5.6 Expresses quantities as a ratio and where appropriate simplifies, for example, 'if there are 6 teachers and 60 children in a school find the ratio of the number of teachers to the total amount of teachers and children'.

NMM.6 Money

NMM.6.A When considering how to spend my money, I can source, compare and contrast different contracts and services, discuss their advantages and disadvantages, and explain which offer best value to me.

NMM.6.B I can budget effectively, making use of technology and other methods, to manage money and plan for future expenses.

NMM.6.1 Demonstrates understanding of best value in relation to contracts and services when comparing products.

NMM.6.2 Chooses the best value for their personal situation and justifies choices.

NMM.6.3 Budgets effectively, using digital technology where appropriate, showing development of financial capability.

NMM.6.4 Demonstrates knowledge of financial terms, for example, debit/credit, APR, pa, direct debit/standing order and interest rate.

NMM.6.5 Converts between different currencies.

NMM.7 Time

NMM.7.A Using simple time periods, I can work out how long a journey will take, the speed travelled at or distance covered, using my knowledge of the link between time, speed and distance.

NMM.7.1 Applies knowledge of the relationship between speed, distance and time to find each of the three variables.

NMM.7.2 Calculates time durations across hours and days.

NMM.8 Measurement

NMM.8.A I can solve practical problems by applying my knowledge of measure, choosing the appropriate units and degree of accuracy for the task, and using a formula to calculate area or volume when required.

NMM.8.B Having investigated different routes to a solution, I can find the area of compound 2D shapes and the volume of compound 3D objects, applying my knowledge to solve practical problems.

NMM.8.1 Chooses appropriate units for length, area and volume when solving practical problems.

NMM.8.2 Converts between standard units to three decimal places and applies this when solving calculations of length, capacity, volume and area.

NMM.8.3 Calculates the area of a 2D shape where the units are inconsistent.

NMM.8.4 Finds the area of compound 2D shapes constructed from squares, rectangles and triangles.

NMM.8.5 Finds the volume of compound 3D objects constructed from cubes and cuboids.

NMM.9 Mathematics – its impact on the world, past, present and future

NMM.9.A I have worked with others to research a famous mathematician and the work they are known for, or investigated a mathematical topic, and have prepared and delivered a short presentation.

NMM.9.1 Researches and communicates using appropriate mathematical vocabulary and notation, the work of a famous mathematician or a mathematical topic and explains the relevance and impact they have on society.

NMM.10 Patterns and relationships

NMM.10.A Having explored number sequences, I can establish the set of numbers generated by a given rule and determine a rule for a given sequence, expressing it using appropriate notation.

NMM.10.1 Generates number sequences from a given rule, for example, T = 4n + 6.

NMM.10.2 Extends a given pattern and describes the rule.

NMM.10.3 Expresses sequence rules in algebraic notation, for example, the cost of hiring a car is £75 plus a charge of £0·05 per mile, 'm' driven, C = 0.05m + 75.

NMM.11 Expressions and equations

NMM.11.A I can collect like algebraic terms, simplify expressions and evaluate using substitution.

NMM.11.B Having discussed ways to express problems or statements using mathematical language, I can construct, and use appropriate methods to solve, a range of simple equations.

NMM.11.C I can create and evaluate a simple formula representing information contained in a diagram, problem or statement.

NMM.11.1 Collects like terms, including squared terms, to simplify an algebraic expression.

NMM.11.2 Evaluates expressions involving two variables using both positive and negative numbers.

NMM.11.3 Solves linear equations, for example, ax ± b = c where a, b and c are integers.

NMM.11.4 Creates a simple linear formula representing information contained in a diagram, problem or statement.

NMM.11.5 Evaluates a simple formula, for example, C = 0.05m + 75.

SPM Shape, position and movement