Curriculum for Excellence

Number, money and measure

Estimation and rounding
Early First Second Third Fourth
I am developing a sense of size and amount by observing, exploring, using and communicating with others about things in the world around me.

*Responsibility of all

MNU 0-01a
 I can share ideas with others to develop ways of estimating the answer to a calculation or problem, work out the actual answer, then check my solution by comparing it with the estimate.

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MNU 1-01A
 I can use my knowledge of rounding to routinely estimate the answer to a problem then, after calculating, decide if my answer is reasonable, sharing my solution with others.

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MNU 2-01a
 I can round a number using an appropriate degree of accuracy, having taken into account the context of the problem.

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MNU 3-01a
 Having investigated the practical impact of inaccuracy and error, I can use my knowledge of tolerance when choosing the required degree of accuracy to make real-life calculations.

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MNU 4-01a
 

Number and number processes

including addition, subtraction, multiplication, division and negative numbers
Early First Second Third Fourth
I have explored numbers, understanding that they represent quantities and I can use them to count, create sequences and describe order.

*Responsibility of all

MNU 0-02a
 I have investigated how whole numbers are constructed, can understand the importance of zero within the system and can use my knowledge to explain the link between a digit, its place and its value.

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MNU 1-02a
 I have extended the range of whole numbers I can work with and having explored how decimal fractions are constructed, can explain the link between a digit, its place and its value.

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MNU 2-02a
    
I use practical materials and can 'count on and back' to help me to understand addition and subtraction, recording my ideas and solutions in different ways.

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MNU 0-03a
 I can use addition, subtraction, multiplication and division when solving problems, making best use of the mental strategies and written skills I have developed.

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MNU 1-03a
 Having determined which calculations are needed, I can solve problems involving whole numbers using a range of methods, sharing my approaches and solutions with others.

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MNU 2-03a
 I can use a variety of methods to solve number problems in familiar contexts, clearly communicating my processes and solutions.

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MNU 3-03a
 Having recognised similarities between new problems and problems I have solved before, I can carry out the necessary calculations to solve problems set in unfamiliar contexts.

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MNU 4-03a
    I have explored the contexts in which problems involving decimal fractions occur and can solve related problems using a variety of methods.

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MNU 2-03b
 I can continue to recall number facts quickly and use them accurately when making calculations.

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MNU 3-03b
 I have investigated how introducing brackets to an expression can change the emphasis and can demonstrate my understanding by using the correct order of operations when carrying out calculations.
MTH 4-03b
    Having explored the need for rules for the order of operations in number calculations, I can apply them correctly when solving simple problems.
MTH 2-03c
    
    I can show my understanding of how the number line extends to include numbers less than zero and have investigated how these numbers occur and are used.

*Responsibility of all

MNU 2-04a
 I can use my understanding of numbers less than zero to solve simple problems in context.

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MNU 3-04a
  
 

Multiples, factors and primes
Early First Second Third Fourth
    Having explored the patterns and relationships in multiplication and division, I can investigate and identify the multiples and factors of numbers.
MTH 2-05a
 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.
MTH 3-05a
  
      I can apply my understanding of factors to investigate and identify when a number is prime.
MTH 3-05b
  
 

Powers and roots
Early First Second Third Fourth
      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.
MTH 3-06a
 I have developed my understanding of the relationship between powers and roots and can carry out calculations mentally or using technology to evaluate whole number powers and roots, of any appropriate number.
MTH 4-06a
        Within real life contexts, I can use scientific notation to express large or small numbers in a more efficient way and can understand and work with numbers written in this form.
MTH 4-06b
 

Fractions, decimal fractions and percentages

including ratio and proportion
Early First Second Third Fourth
I can share out a group of items by making smaller groups and can split a whole object into smaller parts.

*Responsibility of all

MNU 0-07a
 Having explored fractions by taking part in practical activities, I can show my understanding of:
  • how a single item can be shared equally
  • the notation and vocabulary associated with fractions
  • where simple fractions lie on the number line.

*Responsibility of all

MNU 1-07a
 I have investigated the everyday contexts in which simple fractions, percentages or decimal fractions are used and can carry out the necessary calculations to solve related problems.

*Responsibility of all

MNU 2-07a
 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.

*Responsibility of all

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MNU 3-07a
 I can choose the most appropriate form of fractions, decimal fractions and percentages to use when making calculations mentally, in written form or using technology, then use my solutions to make comparisons, decisions and choices.

*Responsibility of all

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MNU 4-07a
  Through exploring how groups of items can be shared equally, I can find a fraction of an amount by applying my knowledge of division.

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MNU 1-07b
 I can show the equivalent forms of simple fractions, decimal fractions and percentages and can choose my preferred form when solving a problem, explaining my choice of method.

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MNU 2-07b
 By applying my knowledge of equivalent fractions and common multiples, I can add and subtract commonly used fractions.
MTH 3-07b
 I can solve problems involving fractions and mixed numbers in context, using addition, subtraction or multiplication.
MTH 4-07b
  Through taking part in practical activities including use of pictorial representations, I can demonstrate my understanding of simple fractions which are equivalent.
MTH 1-07c
 I have investigated how a set of equivalent fractions can be created, understanding the meaning of simplest form, and can apply my knowledge to compare and order the most commonly used fractions.
MTH 2-07c
 Having used practical, pictorial and written methods to develop my understanding, I can convert between whole or mixed numbers and fractions.
MTH 3-07c
  
      I can show how quantities that are related can be increased or decreased proportionally and apply this to solve problems in everyday contexts.

*Responsibility of all

MNU 3-08a
 Using proportion, I can calculate the change in one quantity caused by a change in a related quantity and solve real-life problems.

*Responsibility of all

MNU 4-08a
 

Money
Early First Second Third Fourth
I am developing my awareness of how money is used and can recognise and use a range of coins.

*Responsibility of all

MNU 0-09a
 I can use money to pay for items and can work out how much change I should receive.

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MNU 1-09a
 I can manage money, compare costs from different retailers, and determine what I can afford to buy.

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MNU 2-09a
 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.

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MNU 3-09a
 I can discuss and illustrate the facts I need to consider when determining what I can afford, in order to manage credit and debt and lead a responsible lifestyle.

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MNU 4-09a
  I have investigated how different combinations of coins and notes can be used to pay for goods or be given in change.

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MNU 1-09b
 I understand the costs, benefits and risks of using bank cards to purchase goods or obtain cash and realise that budgeting is important.

*Responsibility of all

MNU 2-09b
 I can budget effectively, making use of technology and other methods, to manage money and plan for future expenses.

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MNU 3-09b
 I can source information on earnings and deductions and use it when making calculations to determine net income.

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MNU 4-09b
    I can use the terms profit and loss in buying and selling activities and can make simple calculations for this.

*Responsibility of all

MNU 2-09c
   I can research, compare and contrast a range of personal finance products and, after making calculations, explain my preferred choices.

*Responsibility of all

MNU 4-09c
 

Time
Early First Second Third Fourth
I am aware of how routines and events in my world link with times and seasons, and have explored ways to record and display these using clocks, calendars and other methods.

*Responsibility of all

MNU 0-10a
 I can tell the time using 12 hour clocks, realising there is a link with 24 hour notation, explain how it impacts on my daily routine and ensure that I am organised and ready for events throughout my day.

*Responsibility of all

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MNU 1-10a
 I can use and interpret electronic and paper-based timetables and schedules to plan events and activities, and make time calculations as part of my planning.

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MNU 2-10a
 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.

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MNU 3-10a
 I can research, compare and contrast aspects of time and time management as they impact on me.

*Responsibility of all

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MNU 4-10a
  I can use a calendar to plan and be organised for key events for myself and my class throughout the year.

*Responsibility of all

MNU 1-10b
 I can carry out practical tasks and investigations involving timed events and can explain which unit of time would be most appropriate to use.

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MNU 2-10b
   I can use the link between time, speed and distance to carry out related calculations.

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MNU 4-10b
  I have begun to develop a sense of how long tasks take by measuring the time taken to complete a range of activities using a variety of timers.

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MNU 1-10c
 Using simple time periods, I can give a good estimate of how long a journey should take, based on my knowledge of the link between time, speed and distance.

*Responsibility of all

MNU 2-10c
    
 

Measurement
Early First Second Third Fourth
I have experimented with everyday items as units of measure to investigate and compare sizes and amounts in my environment, sharing my findings with others.

*Responsibility of all

MNU 0-11a
 I can estimate how long or heavy an object is, or what amount it holds, using everyday things as a guide, then measure or weigh it using appropriate instruments and units.

*Responsibility of all

MNU 1-11a
 I can use my knowledge of the sizes of familiar objects or places to assist me when making an estimate of measure.

*Responsibility of all

MNU 2-11a
 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.

*Responsibility of all

MNU 3-11a
 I can apply my knowledge and understanding of measure to everyday problems and tasks and appreciate the practical importance of accuracy when making calculations.

*Responsibility of all

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MNU 4-11a
  I can estimate the area of a shape by counting squares or other methods.

*Responsibility of all

MNU 1-11b
 I can use the common units of measure, convert between related units of the metric system and carry out calculations when solving problems.

*Responsibility of all

MNU 2-11b
 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.
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MTH 3-11b
 Through investigating real-life problems involving the surface area of simple 3D shapes, I can explore ways to make the most efficient use of materials and carry out the necessary calculations to solve related problems.
MTH 4-11b
    I can explain how different methods can be used to find the perimeter and area of a simple 2D shape or volume of a simple 3D object.

*Responsibility of all

MNU 2-11c
   I have explored with others the practicalities of the use of 3D objects in everyday life and can solve problems involving the volume of a prism, using a formula to make related calculations when required.
MTH 4-11c
 

Mathematics – its impact on the world, past, present and future
Early First Second Third Fourth
  I have discussed the important part that numbers play in the world and explored a variety of systems that have been used by civilisations throughout history to record numbers.
MTH 1-12a
 I have worked with others to explore, and present our findings on, how mathematics impacts on the world and the important part it has played in advances and inventions.
MTH 2-12a
 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.
MTH 3-12a
 I have discussed the importance of mathematics in the real world, investigated the mathematical skills required for different career paths and delivered, with others, a presentation on how mathematics can be applied in the workplace.
MTH 4-12a
 

Patterns and relationships
Early First Second Third Fourth
I have spotted and explored patterns in my own and the wider environment and can copy and continue these and create my own patterns.
MTH 0-13a
 I can continue and devise more involved repeating patterns or designs, using a variety of media.
MTH 1-13a
 Having explored more complex number sequences, including well-known named number patterns, I can explain the rule used to generate the sequence, and apply it to extend the pattern.
MTH 2-13a
 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.
MTH 3-13a
 Having explored how real-life situations can be modelled by number patterns, I can establish a number sequence to represent a physical or pictorial pattern, determine a general formula to describe the sequence, then use it to make evaluations and solve related problems.
MTH 4-13a
  Through exploring number patterns, I can recognise and continue simple number sequences and can explain the rule I have applied.
MTH 1-13b
    

I have discussed ways to describe the slope of a line, can interpret the definition of gradient and use it to make relevant calculations, interpreting my answer for the context of the problem.

MTH 4-13b
        Having investigated the pattern of the co-ordinate points lying on a horizontal or vertical line, I can describe the pattern using a simple equation.
MTH 4-13c
        I can use a given formula to generate points lying on a straight line, plot them to create a graphical representation then use this to answer related questions.
MTH 4-13d
 

Expressions and equations
Early First Second Third Fourth
      I can collect like algebraic terms, simplify expressions and evaluate using substitution.
MTH 3-14a
 Having explored the distributive law in practical contexts, I can simplify, multiply and evaluate simple algebraic terms involving a bracket.
MTH 4-14a
        I can find the factors of algebraic terms, use my understanding to identify common factors and apply this to factorise expressions.
MTH 4-14b
  I can compare, describe and show number relationships, using appropriate vocabulary and the symbols for equals, not equal to, less than and greater than.
MTH 1-15a
 I can apply my knowledge of number facts to solve problems where an unknown value is represented by a symbol or letter.
MTH 2-15a
 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.
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MTH 3-15a
 Having discussed the benefits of using mathematics to model real-life situations, I can construct and solve inequalities and an extended range of equations.
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MTH 4-15a
  When a picture or symbol is used to replace a number in a number statement, I can find its value using my knowledge of number facts and explain my thinking to others.
MTH 1-15b
   I can create and evaluate a simple formula representing information contained in a diagram, problem or statement.
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MTH 3-15b
  
 

View other numeracy and mathematics experiences and outcomes.