Foundation+Statements

=Kindergarten:= Working Mathematically, Number Patterns and Algebra, Measurement and Data,  Space and Geometry

Students ask questions and explore mathematical problems. They use everyday language, materials and informal recordings to demonstrate understanding and link mathematical ideas. Students count to 30 and represent numbers to 20 with objects, pictures, numerals and words and read and use ordinal numbers to at least ‘tenth’ place. They manipulate objects to model addition and subtraction, multiplication and division. Students divide objects into two equal parts and describe them as halves. They recognise coins and notes. Students recognise, describe and continue patterns that increase or decrease. Students identify length, area, volume, capacity and mass and compare and arrange objects according to these attributes. They name the days of the week and the seasons and they order events in a school day, telling the time on the hour. Students use objects and pictures to create a data display and interpret data. Students manipulate, sort and describe 3D objects using everyday language. They manipulate, sort and describe 2D shapes, identifying circles, squares, triangles and rectangles. Students give and follow simple directions and describe position using everyday language.

=Stage One:= Working Mathematically n Number n Patterns and Algebra n Measurement and Data n Space and Geometry Students ask questions and use objects, diagrams and technology to explore mathematical problems. They link mathematical ideas and use everyday language, some mathematical language and diagrams to explain how answers were obtained. Students count, order, read and write numbers up to 999 and use a range of mental strategies, informal recording methods and materials to add, subtract, multiply and divide. They model and describe objects and collections divided into halves and quarters. Students sort, order and count money and recognise and describe the element of chance in familiar activities. Students describe, create and continue a variety of number patterns and relate addition and subtraction facts to at least 20. Students estimate, measure, compare and record using informal units for length, area, volume, capacity and mass. They recognise the need for formal units of length and use the metre and centimetre to measure length and distance. Students use a calendar to identify the date and name and order the months and the seasons of the year. They use informal units to compare and order the duration of events and tell the time on the half-hour. Students gather, organise, display and interpret data using column and picture graphs. Students identify, describe, sort and model particular 3D objects and 2D shapes. They represent and describe the position of objects.

=Stage Two:= Working Mathematically n Number n Patterns and Algebra n Measurement and Data n Space and Geometry Students ask questions and use appropriate mental or written strategies, and technology, to solve problems. They use appropriate terminology to describe and link mathematical ideas, check statements for accuracy and explain reasoning. Students count, order, read and record numbers up to 9999 and use mental and written strategies, including the formal written algorithm, to solve addition and subtraction problems involving numbers of up to four digits. They use mental strategies to recall multiplication facts up to 10 x 10 and related division facts and use informal written strategies for multiplication and division of two-digit numbers by one-digit numbers. Students model, compare and represent simple fractions and recognise percentages in everyday situations and they model, compare, represent, add and subtract decimals to two decimal places. Students perform simple calculations with money and conduct simple chance experiments. Students generate, describe and record number patterns and relate multiplication and division facts to at least 10 x 10. Students estimate, measure, compare and record length, area, volume, capacity and mass using some formal units. They read and record time in hours and minutes in digital and analogue notation and make comparisons between time units. Students gather and organise data to create and interpret tables and graphs. Students name, describe and sketch particular 3D objects and 2D shapes. They compare angles using informal means and describe a ‘right angle’. Students use coordinates to describe position and compass points to give and follow directions.

=Stage Three:= Working Mathematically     n       Number       n       Patterns and Algebra       n       Measurement and Data       n       Space and Geometry Students ask questions and undertake investigations, selecting appropriate technological applications and problem-solving strategies. They use mathematical terminology and some conventions and they give valid reasons when comparing and selecting from possible solutions, making connections with existing knowledge and understanding. Students read, write and order numbers of any size, selecting and applying appropriate mental, written or calculator strategies for the four operations. They compare, order and perform calculations with simple fractions, decimals and simple percentages and apply the four operations to money in real-life situations. Students place the likelihood of simple events in order on a number line from 0 to 1. Students record and describe geometric and number patterns using tables and words. They construct, verify and complete number sentences involving the four operations. Students select and use the appropriate unit to estimate, measure and calculate length, area, volume, capacity and mass. They use 24-hour time in real-life situations and construct timelines. Students draw and interpret a variety of graphs using a scale. Students construct and classify 3D objects and 2D shapes and compare and describe their properties. They measure, construct and classify angles and make simple calculations using scale.