Designing the Classroom Curriculum Designing the Classroom Curriculum | Page 57

Lynch, Smith, Howarth Table 5.9: NSW Mathematics Curriculum Stage 1 (Sourced from p. 43) 19 Whole Numbers Early Stage 1 NES1.1 Key Ideas Counts to 30, and orders, reads and represents numbers in the range 0 to 20 Counts forwards to 30, from a given number Counts backwards from a given number, in the range 0 to 20 Compares, orders, reads and represents numbers to at least 20 Reads and use the ordinal names to at least ‘tenth’ Uses the language of money Working Mathematically Students learn to- ask questions involving counting numbers to at least 20 eg ‘How many pencils are in the tin?’ (Questioning) apply counting strategies to solve simple everyday problems (Applying Strategies) communicate an understanding of number using everyday language, actions, materials and informal recordings (Communicating) justify answers by demonstrating the process used (Applying Strategies, Reasoning) recognise numbers in a variety of contexts, including on classroom charts, a calculator, shop cash register, computer keyboard and telephone (Reflecting) count rhythmically to identify number patterns eg stressing every second number (Applying Strategies) estimate the number of objects in a group of up to 20 objects, and count to check (Reflecting, Applying Strategies) exchange money for goods in a play situation (Reflecting) Knowledge and Skills Students learn about - counting forwards to 30, from a given number counting backwards from a given number, in the range 0 to 20 identifying the number before and after a given number counting with one-to-one correspondence reading and writing numbers to at least 20, including zero recognising a dot pattern instantly for numbers up to seven (substituting) representing numbers to at least 20 using numerals, words, symbols and objects (including fingers) comparing and ordering numbers or groups of objects making and recognising different visual arrangements for the same number eg             using 5 as a reference in forming numbers from 6 to 10 eg ‘Six is one more than five’. using 10 as a reference in forming numbers from 11 to 20 eg ‘Thirteen is three more than ten’. reading and using the ordinal names to at least ‘tenth’ recognising that there are different coins and notes in our monetary system using the language of money in everyday contexts eg coin, note, cents, dollars A Resource for constructing Instructional Learning Outcomes Background Information At this Stage, the expectation is that students count to 30. Many classes have between 20 and 30 students and it is a common activity to count the number of students. Students will also encounter numbers up to 31 in calendars. These numbers are only guides and should be adapted to suit the needs of individual students. Counting is an important component of number and the early learning of operations. There is a distinction between counting by rote and counting with understanding. Regularly counting forwards and backwards from a given number will familiarise students with the sequence. Counting with understanding involves counting with one-to-one correspondence and developing a sense of the size of numbers, their order and relationships. Representing numbers in a variety of ways is essential for developing number sense. The teen numbers are often the most difficult for students. The oral language pattern of teen numbers is the reverse of the usual pattern of ‘tens first and then ones’. Consequently some teachers prefer to teach the teen numbers after first teaching the numbers 0 to 10 and 20 to 30. Language Students may use incorrect terms since they are frequently used in everyday language eg ‘How much did you get?’ rather than 19 ‘How many did you get?’ when referring to a score in a game. Sourced from http://k6.boardofstudies.nsw.edu.au/go/mathematics 57