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Skills available for Ireland sixth-class maths curriculum

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5-6.1 Applying and problem-solving

6.3 Shape and space

6.3.1 2-D shapes
- 6.3.1.1 make informal deductions about 2-D shapes and their properties
  - Identify and classify polygons (6-BB.1)
- 6.3.1.2 use angle and line properties to classify and describe triangles and quadrilaterals
- 6.3.1.3 construct triangles from given sides or angles
- 6.3.1.4 identify the properties of the circle
  - Parts of a circle (6-BB.10)
- 6.3.1.5 construct a circle of given radius or diameter
- 6.3.1.6 tessellate combinations of 2-D shapes
- 6.3.1.7 classify 2-D shapes according to their lines of symmetry
  - Symmetry (6-CC.1)
- 6.3.1.8 plot simple co-ordinates and apply where appropriate
- 6.3.1.9 use 2-D shapes and properties to solve problems.
6.3.2 3-D shapes
- 6.3.2.1 identify and examine 3-D shapes and explore relationships, including octahedron (faces, edges and vertices)
- 6.3.2.2 draw the nets of simple 3-D shapes and construct the shapes.
  - Nets of three-dimensional figures (6-DD.3)
6.3.3 Lines and angles
- 6.3.3.1 recognise, classify and describe angles and relate angles to shape
- 6.3.3.2 recognise angles in terms of a rotation
- 6.3.3.3 estimate, measure and construct angles in degrees
  - Measure and classify angles (6-BB.2)
  - Estimate angle measurements (6-BB.3)
- 6.3.3.4 explore the sum of the angles in a quadrilateral
  - Find missing angles in triangles and quadrilaterals (6-BB.8)

6.4 Measures

6.4.1 Length
- 6.4.1.1 select and use appropriate instruments of measurement
- 6.4.1.2 rename measures of length
- 6.4.1.3 estimate and measure the perimeter of regular and irregular shapes
- 6.4.1.4 use and interpret scales on maps and plans
  - Scale drawings: word problems (6-R.10)
6.4.2 Area
- 6.4.2.1 recognise that the length of the perimeter of a rectangular shape does not determine the area of the shape
  - Rectangles: relationship between perimeter and area (6-EE.8)
- 6.4.2.2 calculate the area of regular and irregular 2-D shapes
- 6.4.2.3 measure the surface area of specified 3-D shapes
- 6.4.2.4 calculate area using acres and hectares
  - Convert between square metres and hectares (6-T.5)
- 6.4.2.5 identify the relationship between square metres and square centimetres
- 6.4.2.6 find the area of a room from a scale plan
  - Area of squares and rectangles (6-EE.3)
  - Area of compound figures (6-EE.5)
6.4.3 Weight
- 6.4.3.1 select and use appropriate instruments of measurement
- 6.4.3.2 rename measures of weight
  - Convert and compare metric units (6-T.2)
  - Metric mixed units (6-T.3)
6.4.4 Capacity
- 6.4.4.1 select and use appropriate instruments of measurement
- 6.4.4.2 rename measures of capacity
- 6.4.4.3 find the volume of a cuboid experimentally
  - Volume of figures made of unit cubes (6-EE.18)
6.4.5 Time
- 6.4.5.1 explore international time zones
  - Time zones - 12-hour time (6-W.5)
  - Time zones - 24-hour time (6-W.6)
- 6.4.5.2 explore the relationship between time, distance and average speed
6.4.6 Money (use up to introduction of the euro)
- 6.4.6.1 explore value for money
- 6.4.6.2 convert foreign currencies to Irish pounds and vice versa
6.4.7 Money - euro
- 6.4.7.1 explore value for money
- 6.4.7.2 convert other currencies to euro and vice versa

6.5 Data

6.5.1 Representing and interpreting data
- 6.5.1.1 collect, organise and represent data using pie charts and trend graphs
- 6.5.1.2 read and interpret trend graphs and pie charts
- 6.5.1.3 compile and use simple data sets
- 6.5.1.4 explore and calculate averages of simple data sets
- 6.5.1.5 use data sets to solve problems.
  - Interpret charts to find mean, median, mode and range (6-GG.2)
6.5.2 Chance
- 6.5.2.1 identify and list all possible outcomes of simple random processes
  - Combinations (6-HH.1)
  - Compound events - find the number of outcomes by counting (6-HH.5)
- 6.5.2.2 estimate the likelihood of occurrence of events; order on a scale from 0 to 100%, 0 to 1
  - Probability of one event (6-HH.2)
  - Make predictions (6-HH.3)
- 6.5.2.3 construct and use frequency charts and tables
  - Create frequency tables (6-FF.7)

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5-6.1 Applying and problem-solving

5-6.1.1 select appropriate materials, concepts and processes for particular tasks and applications

5-6.1.2 apply concepts and processes in a variety of contexts

5-6.1.3 analyse problems and plan an approach to solving them

5-6.1.4 select and apply a variety of strategies to complete tasks and projects or solve problems

5-6.1.5 reflect upon and evaluate solutions to problems

5-6.2 Communicating and expressing

5-6.2.1 discuss and explain the processes used and the results of the mathematical activities, problems and projects in an organized way

5-6.2.2 listen to and discuss other children's mathematical descriptions and explanations

5-6.2.3 discuss and record the processes and results of work using a variety of methods

5-6.2.4 discuss problems and carry out analyses

5-6.3 Integrating and connecting

5-6.3.1 connect informally acquired mathematical ideas and processes with formal mathematical ideas and processes

5-6.3.2 recognise mathematics in the environment

5-6.3.3 represent mathematical ideas and processes in different modes: verbal, pictorial, diagrammatic and symbolic

5-6.3.4 understand the connections between mathematical procedures and the concepts he/she uses

5-6.3.5 recognise and apply mathematical ideas and processes in other areas of the curriculum

5-6.4 Reasoning

5-6.4.1 make hypotheses and carry out experiments to test them

5-6.4.2 make informal deductions

5-6.4.3 search for and investigate mathematical patterns and relationships

5-6.4.4 reason systematically in a mathematical context

5-6.4.5 justify processes and results of mathematical activities, problems and projects

5-6.5 Implementing

5-6.5.1 devise and use mental strategies and procedures for carrying out mathematical tasks

5-6.5.2 use appropriate manipulatives to carry out mathematical procedures

5-6.5.3 execute standard procedures efficiently with a variety of tools

5-6.6 Understanding and recalling

5-6.6.1 understand and recall facts, definitions and formulae.

6.1 Number

6.1.1 Place value

6.1.1.1 read, write and order whole numbers and decimals

6.1.1.2 identify place value in whole numbers and decimals

6.1.1.3 round decimals

6.1.2 Operations

6.1.2.1 estimate sums, differences, products and quotients of decimals

6.1.2.2 add and subtract whole numbers and decimals (to three decimal places) without and with a calculator

6.1.2.3 multiply a decimal by a decimal, without and with a calculator

6.1.2.4 divide a four-digit number by a two-digit number, without and with a calculator

6.1.2.5 divide a decimal number by a decimal, without and with a calculator

6.1.3 Fractions

6.1.3.1 compare and order fractions and identify equivalent forms of fractions

6.1.3.2 express improper fractions as mixed numbers and vice versa and position them on the number line

6.1.3.3 add and subtract simple fractions and simple mixed numbers

6.1.3.4 multiply a fraction by a fraction

6.1.3.5 express tenths, hundredths and thousandths in both fractional and decimal form

6.1.3.6 divide a whole number by a unit fraction

6.1.3.7 understand and use simple ratios

6.1.4 Decimals and percentages

6.1.4.1 use percentages and relate them to fractions and decimals

6.1.4.2 compare and order percentages of numbers

6.1.4.3 solve problems relating to profit and loss, discount, VAT, interest, increases, decreases.

6.1.5 Number theory

6.1.5.1 identify simple prime and composite numbers

6.1.5.2 identify and explore square numbers

6.1.5.3 explore and identify simple square roots

6.1.5.4 identify common factors and multiples

6.1.5.5 write whole numbers in exponential form

6.2 Algebra

6.2.1 Directed numbers

6.2.1.1 identify positive and negative numbers on the number line

6.2.1.2 add simple positive and negative numbers on the number line

6.2.2 Rules and properties

6.2.2.1 know simple properties and rules about brackets and priority of operation

6.2.2.2 identify relationships and record symbolic rules for number patterns

6.2.2.3 explore the concept of a variable in the context of simple patterns, tables and simple formulae and substitute values for variables

6.2.3 Variables

6.2.3.1 explore the concept of a variable in the context of simple patterns, tables and simple formulae and substitute values for variables

6.2.4 Equations

6.2.4.1 translate word problems with a variable into number sentences

6.2.4.2 solve one-step number sentences and equations

6.3 Shape and space

6.3.1 2-D shapes

6.3.1.1 make informal deductions about 2-D shapes and their properties

6.3.1.2 use angle and line properties to classify and describe triangles and quadrilaterals

6.3.1.3 construct triangles from given sides or angles

6.3.1.4 identify the properties of the circle