* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Properties of numbers Year 2 Summer 12
Survey
Document related concepts
Mathematics of radio engineering wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Infinitesimal wikipedia , lookup
Ethnomathematics wikipedia , lookup
Large numbers wikipedia , lookup
Positional notation wikipedia , lookup
Real number wikipedia , lookup
Location arithmetic wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Transcript
Properties of numbers Year 2 Summer 12 Investigate a general statement about familiar numbers by finding examples which satisfy it Previous learning Core for Year 2 Extension Understand and use these words: Understand and begin to read these words: Understand and read these words: odd, even, pattern, continue, next, every other, … odd, even, multiple, divides by, … sequence, pattern, predict, continue, next, rule, … property, … odd, even, multiple, divides by, … sequence, pattern, predict, continue, next, rule, … property, … Given a number up to 30, describe its properties, e.g. Given a number up to 100, describe its properties, e.g. Make general statements about a given number, e.g. • Given 30, say that: • Given 65, say that: • Choose a three-digit number (e.g. 140) and say that: – It’s even. – It’s odd. – It’s even. – It’s more than 20 and less than 30. – It’s between 60 and 70. – It’s between 100 and 150 but nearer 150. – It’s a two-digit number. – It’s a two-digit number. – It’s a three-digit number. – It’s double 12. – It’s a not multiple of 2. – The digits add up to 5. – The digits add up to 6. – It’s not a multiple of 10. – It’s a multiple of 2, and of 5, and of 10. – It’s in the two times table. – It’s a multiple of 5. – The digits add up to 11. • Guess a number less than 50 by asking questions about its properties to which only ‘Yes’ or ‘No’ answers are given, e.g. • Guess a two-digit mystery number by asking questions about its properties to which only ‘Yes’ or ‘No’ answers are given, e.g. – Is it odd? – Is it even? – Does it lie between 20 and 30? – Is it greater than 75? – Is it a multiple of 10? – Is it a multiple of 5? Sort numbers according to their properties, e.g. Sort numbers according to their properties, e.g. Sort numbers according to their properties, e.g. • Write each number in the right place on the diagram. • Here is a sorting diagram for numbers. Write each of these numbers in the right space. • One number is in the wrong place on the sorting diagram. Put a cross on it. 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 50 57 58 55 even even not even multiple of 5 not a multiple of 5 • © 1 | Year 2 | Summer TS12 | Properties of numbers Examples adapted from the Framework for teaching mathematics from Reception to Year 6, 1999 Previous learning Core for Year 2 Extension Give examples to match given properties of numbers, e.g. Give examples to match given properties of numbers, e.g. Give examples to match given properties of numbers, e.g. • Tell me: • Write down: • Tell me: – an even number more than 20 and less than 40; – a three-digit even number; – an even number more than 20 and less than 40; – an odd number which divides exactly by 5; – a multiple of 5 between 50 and 70; – an odd number which divides exactly by 5; – a multiple of 10 between 65 and 85. – an odd multiple of 5 greater than 75. – a multiple of 10 between 65 and 85. Give examples to match a true statement, e.g. Give examples to match a true statement, e.g. • When I subtract 10 from a number the units number stays the same. • If you multiply numbers either way round, the answer is the same. For example: 43 – 10 = 33, and 43 and 33 both have 3 ones or units. • I can add 9 by adding 10 and taking away 1. For example: 16 + 9 = 16 + 10 – 1 = 25 • If a number ends in 2 then it is even. For example: 5 × 3 = 3 × 5 = 15 • Any odd number is one more than an even number. For example: 23 is an odd number and 23 is 1 more than 22, which is an even number. • Any even number can be written as the sum of two odd numbers. For example: 12, 32, 82 • There are five odd numbers between 10 and 20. For example: 11, 13, 15, 17, 19 For example: 16 is an even number, and 16 = 13 + 3, which are both odd numbers. • A multiple of 5 is always half a multiple of 10. For example: 15 is a multiple of 5, and 15 is half of 30, which is a multiple of 10. • If a number ends in 0 then it divides exactly by 10. For example: 90 ÷ 10 = 9 with no remainder. Say whether a given statement is always, sometimes or never true, and illustrate with examples, e.g. Say whether a given statement is always, sometimes or never true, and illustrate with examples, e.g. • Numbers less than 100 have two digits. • Is this statement always, sometimes or never true? Sometimes true; 18 has two digits but 8 does not. ‘Multiples of 5 are even.’ Give examples to show how you know. • Multiples of 5 end in 5. Sometimes true; 15 ends in 5 but 10 does not. The statement is sometimes true. For example, 10 is an even multiple of 5 but 15 is an odd multiple of 5. • Multiples of 10 are even. Always true; multiples of 10 end in 0 and any number that ends in 0 is even. © 2 | Year 2 | Summer TS12 | Properties of numbers Examples adapted from the Framework for teaching mathematics from Reception to Year 6, 1999