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Skills available for Ireland fourth-class maths curriculum

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3-4.1 Applying and problem-solving

4.4 Measures

4.4.1 Length
- 4.4.1.1 estimate, compare, measure and record lengths of a wide variety of objects, using appropriate metric units, and selecting suitable instruments of measurement
- 4.4.1.2 rename units of length using decimal or fraction form
  - Compare and convert metric units of length (4-M.2)
  - Metric mixed units (4-M.5)
- 4.4.1.3 understand, estimate and measure the perimeter of regular 2-D shapes
  - Perimeter of rectangles (4-P.1)
- 4.4.1.4 solve and complete practical tasks and problems involving the addition, subtraction, multiplication and simple division of units of length (m, cm, km).
  - Unit prices (4-L.8)
  - Use perimeter to determine cost (4-P.5)
4.4.2 Area
- 4.4.2.1 estimate, compare and measure the area of regular and irregular shapes
4.4.3 Weight
- 4.4.3.1 estimate, compare, measure and record the weight of a wide variety of objects using appropriate metric units (kg, g) and selecting suitable instruments of measurement
- 4.4.3.2 rename units of weight in kg and g
  - Compare and convert metric units of mass (4-M.3)
- 4.4.3.3 rename units of weight using decimal or fraction form
- 4.4.3.4 solve and complete practical tasks and problems involving the addition, subtraction, multiplication and simple division of units of weight (kg and g).
4.4.4 Capacity
- 4.4.4.1 estimate, compare, measure and record capacity using appropriate metric units (l, ml) and selecting suitable instruments of measurement
- 4.4.4.2 rename units of capacity in l and ml
  - Compare and convert metric units of volume (4-M.4)
- 4.4.4.3 rename units of capacity using decimal and fraction form
  - Compare and convert metric units of volume (4-M.4)
  - Metric mixed units (4-M.5)
- 4.4.4.4 solve and complete practical tasks and problems involving the addition, subtraction, multiplication and simple division of units of capacity (l, ml).
4.4.5 Time
- 4.4.5.1 consolidate and develop further a sense of time passing
- 4.4.5.2 read time in one-minute intervals on analogue and digital clock (12-hour)
  - Match analogue and digital clocks (2-O.3)
- 4.4.5.3 express digital time as analogue time and vice versa
- 4.4.5.4 read and interpret simple timetables.
  - Transportation schedules (4-N.6)
- 4.4.5.5 rename minutes as hours and hours as minutes
  - Convert time units (4-N.1)
- 4.4.5.6 read dates from calendars and express weeks as days and vice versa
  - Convert time units (4-N.1)
- 4.4.5.7 solve and complete practical tasks and problems involving times and dates and the addition and subtraction of hours and minutes
  - Elapsed time (4-N.4)
  - Find start and end times: multi-step word problems (4-N.5)
4.4.6 Money (use up to introduction of the euro)
- 4.4.6.1 rename amounts of money as pounds or pence and record using p or £ symbol and decimal point
- 4.4.6.2 solve and complete practical one-step and two-step problems and tasks involving the addition, subtraction, multiplication and simple division of money.
4.4.7 Money - euro
- 4.4.7.1 rename amounts of money as euro or cents and record using € symbol and decimal point
- 4.4.7.2 solve and complete practical one-step and two-step problems and tasks involving the addition, subtraction, multiplication and simple division of money.

4.5 Data

4.5.1 Representing and interpreting data
- 4.5.1.1 collect, organise and represent data using pictograms, block graphs, bar charts and bar-line graphs incorporating the scales 1:2, 1:5, 1:10, and 1:100
- 4.5.1.2 read and interpret bar-line graphs and simple pie charts
- 4.5.1.3 use data sets to solve and complete practical tasks and problems.
  - Mean and mode (4-W.4)
  - Interpret charts to find mean and mode (4-W.5)
4.5.2 Chance
- 4.5.2.1 use vocabulary of uncertainty and chance: chance, likely, unlikely, never, definitely
- 4.5.2.2 order events in terms of likelihood of occurrence
- 4.5.2.3 identify and record outcomes of simple random processes

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3-4.1 Applying and problem-solving

3-4.1.1 select appropriate materials, concepts and processes for mathematical tasks and applications

3-4.1.2 apply concepts and processes in a variety of contexts

3-4.1.3 analyse problems and plan an approach to solving them

3-4.1.4 select and apply a variety of strategies to complete tasks and projects or to solve problems

3-4.1.5 evaluate solutions to problems

3-4.2 Communicating and expressing

3-4.2.1 discuss and explain the processes used and the results of mathematical activities, problems, and projects.

3-4.2.2 listen to and discuss other children's mathematical descriptions and explanations

3-4.2.3 discuss and record the processes and results of work using a variety of methods

3-4.2.4 discuss problems presented verbally or diagrammatically and carry out analyses

3-4.3 Integrating and connecting

3-4.3.1 connect informally acquired mathematical ideas and processes with formal mathematical ideas and processes

3-4.3.2 understand the connections between mathematical procedures and the concepts he/she uses

3-4.3.3 recognise mathematics in the environment

3-4.3.4 represent mathematical ideas and processes in different modes: verbal, pictorial, diagrammatic, and symbolic

3-4.3.5 recognise and apply mathematical ideas and processes in other areas of the curriculum

3-4.4 Reasoning

3-4.4.1 make hypotheses and carry out experiments to test them

3-4.4.2 make informal deductions involving a small number of steps

3-4.4.3 explore and investigate mathematical patterns and relationships

3-4.4.4 reason systematically in a mathematical context

3-4.4.5 justify processes and results of mathematical activities, problems and projects

3-4.5 Implementing

3-4.5.1 devise and use mental strategies and procedures for carrying out mathematical tasks

3-4.5.2 use appropriate manipulatives to carry out mathematical procedures

3-4.5.3 execute standard procedures efficiently with a variety of tools

3-4.6 Understanding and recalling

3-4.6.1 understand and recall terminology, facts and definitions.

4.1 Number

4.1.1 Place value

4.1.1.1 explore and identify place value in whole numbers, 0-9999

4.1.1.2 read, write and order four-digit numbers and solve simple problems

4.1.1.3 round whole numbers to the nearest thousand

4.1.1.4 explore and identify place value in decimal numbers to two places of decimals.

4.1.2 Operations

4.1.2.1 add and subtract, without and with renaming, within 9999

4.1.2.2 know and recall addition and subtraction facts

4.1.2.3 solve word problems involving addition and subtraction

4.1.2.4 develop an understanding of multiplication as repeated addition and vice versa.

4.1.2.5 explore, understand and apply the zero, commutative, distributive and associative properties of multiplication

4.1.2.6 develop and recall multiplication facts within 100

4.1.2.7 multiply a two-digit or three-digit number by a one or two-digit number

4.1.2.8 use a calculator to check estimates

4.1.2.9 solve and complete practical tasks and problems involving multiplication of whole numbers

4.1.2.10 develop an understanding of division as sharing and as repeated subtraction, without and with remainders

4.1.2.11 develop and/or recall division facts within 100

4.1.2.12 divide a three-digit number by a one-digit number without and with remainders

4.1.2.13 use calculator to check estimates

4.1.2.14 solve and complete practical tasks and problems involving division of whole numbers

4.1.3 Fractions

4.1.3.1 identify fractions and equivalent forms of fractions with denominators 2, 3, 4, 5, 6, 8, 9, 10 and 12

4.1.3.2 compare and order fractions with appropriate denominators and position on the number line

4.1.3.3 calculate a fraction of a set using concrete materials

4.1.3.4 calculate a number, given a multiple fraction of the number

4.1.3.5 express one number as a fraction of another number

4.1.3.6 solve and complete practical tasks and problems involving fractions

4.1.4 Decimals

4.1.4.1 express tenths and hundredths as fractions and decimals

4.1.4.2 identify place value of whole numbers and decimals to two places and write in expanded form

4.1.4.3 order decimals on the number line

4.1.4.4 add and subtract whole numbers and decimals up to two places

4.1.4.5 multiply and divide a decimal number up to two places by a single-digit whole number

4.1.4.6 solve problems involving decimals.

4.2 Algebra

4.2.1 Number patterns and sequences

4.2.1.1 explore, recognise and record patterns in number, 0-9999

4.2.1.2 explore, extend and describe sequences

4.2.1.3 use patterns as an aid in the memorisation of number facts

4.2.2 Number sentences

4.2.2.1 translate an addition, subtraction, multiplication or division number sentence with a frame into a word problem (frame not in initial position)

4.2.2.2 translate a one-step word problem into a number sentence

4.2.2.3 solve one-step number sentences

4.3 Shape and space

4.3.1 2-D shapes

4.3.1.1 identify, describe and classify 2-D shapes: equilateral, isosceles and scalene triangle, parallelogram, rhombus, pentagon, octagon

4.3.1.2 explore, describe and compare the properties (sides, angles, parallel and non-parallel lines) of 2-D shapes