Standards Correlation: Symphony Math and the National Curriculum in England

Transcription

1 Standards Correlation: and the National Curriculum in England National Curriculum Key and Year Key stage 1-year 1: Number-number and place value count to and across 100, forwards and backwards, beginning with 0, or 1, or from any given number count, read and write numbers to 100 in numerals: count in multiples of 2s, 5s, and 10s 1.1, 1.3, 1.4, Sequencing, counting forward, counting backward 1.2, 11.1 Identifying numbers, Sskip counting by 2s, 5s, 10s given a number, identify 1 more and 1 less 2.1, 2.2 Find one more, find one less identify and represent numbers using objects and pictorial representations including the number line, and use language of: equal to, more than, less than, most, least read and write numbers from 1 to 20 in numerals and words. 1.2, 2.3, 2.4, 2.5 Identifying numbers, find more, find less, same (equal to): use of pictorial representations (dot cards, unit bars, number line) and then number, pervasive throughout all content 1.1, 1.2 Sequencing, identifying numbers September 2015 Symphony Learning LLC Page 1 of 9

2 Key and Year Key 1-year 1: Number-addition and subtraction read, write and interpret mathematical statements involving addition (+), subtraction ( ) and equals (=) signs 3.1, 3.3, 4.3, 4.4, 6.1, 6.3 Addition; missing whole Subtraction: missing result, first to 5, then 10, then 20 represent and use number bonds and related subtraction facts within , 6.3, 6.5, Mastery Round Level 5, 6 Addition to 20; missing whole Subtraction to 20: missing result, fact families Fluency with add. and sub. within 20 add and subtract one-digit and two-digit numbers to 20, including 0 3.1, 3.3, 4.3, 4.4, , 7.8 Addition and Subtraction to 5, 10, and 20, with missing wholes, missing part(s), with objects in word problem contexts: Add & sub. teens and ones Key stage 1-year 1: Number-multiplication and division Key stage 1-year 1: Number-fractions solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 =? 9. solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. recognize, find and name a half as 1 of 2 equal parts of an object, shape or quantity 3.2, 3.4, 6.2, 6.4 Connection between pictorial representations and number pervasive throughout: Add & sub.to 5 and 20; missing wholes and parts (missing number problems) 11.3, 13.1, 13.4 Word problems throughout/use of pictorial representations pervasive: Skip counting, Intro to mult.; Intro to division 14.1, 14.2 Dividing a whole; Creating unit fractions: Pictorial representations and number, including intro of Fraction Bar & Number Line for fractions September 2015 Symphony Learning LLC Page 2 of 9

3 Key and Year Key stage 1-Year 2: number and place value recognize, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity. count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward recognise the place value of each digit in a two-digit number (10s, 1s) 14.1, 14.2 Dividing a whole; Creating unit fractions; Use of Fraction Bar and Number Lines 7.2, 7.3, 7.4, 11.1 Counting forward and backward by 10s, Find Ten more, Skip counting 4.3, Plus, Add and subtract teens and ones identify, represent and estimate numbers using different representations, including the number line Throughout Content throughout ; Number Line constant pictorial model compare and order numbers from 0 up to 100; use <, > and = signs read and write numbers to at least 100 in numerals and in words 5.1, 5.2, 5.3, 8.9 Equals, Greater than, Less than, Compare 2- Digit numbers 8.5 Part to Whole with 1s and 10s use place value and number facts to solve problems. Content Throughout Fluency with add and sub within 20 including missing parts and change; Add. and subtract teens and ones; Part-whole add. and sub, Place value add. and sub. Key stage 1-Year 2: Number-addition and subtraction solve problems with addition and subtraction: using concrete objects and pictorial representations applying their increasing knowledge of mental and written methods Content Throughout Content throughout; Pictorial models, word problems employ pervasive visual-tosymbolic bridge September 2015 Symphony Learning LLC Page 3 of 9

4 Key and Year recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to , 7.7, Mastery Round Level 5, 6 Fluency with add and sub within 20 including missing change; Related 1s and 10s combinations; Combinations of 100 add and subtract numbers using concrete objects, pictorial representations, and mentally, including: Content Throughout Content throughout; Pictorial models, word problems employ pervasive visual-tosymbolic bridge a two-digit number and 1s 7.8, 8.1, 8.2, 8.3, 8.4 Addition and subtraction to 20 then 100 with missing whole and part a two-digit number and 10s 8.6, 8.7 Addition and subtraction to 100, parts to whole with 1s and 10s (+ 10, -10) 2 two-digit numbers 8.8, Adding with multiples of 10 adding 3 one-digit numbers 6.6, 3-part addition and subtraction show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot be done recognize and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems. 6.5, 6.6 Fact families, 3-part addition and subtraction Parts to whole to 20 with addition and subtraction; Fact families; Key stage 1-Year 2: Number-multiplication and division recall and use mult. and division facts for the 2,5 and 10 multiplication tables, including recognizing odd and even numbers Mastery Round Level 9, 10 Multiply and divide within 30 and 100, fluent retrieval of basic facts September 2015 Symphony Learning LLC Page 4 of 9

5 Key and Year Key stage 1-Year 2: Number-fractions calculate mathematical statements for multi. and division within the mult. tables and write them using the multi (x), division ( ) and equals (=) signs show that multiplication of 2 numbers done in any order (commutative) and division of 1 number by another cannot solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts. recognize, find, name and write fractions 1/3,1/4, 2/4, and 3/4 of a length, shape, set of objects or quantity write simple fractions, for example 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/ Multiplication and division, Repeated equal groupings; Products, factors, dividends and devisors unknown; Story problems throughout 13.7, 15.7 Multiplication and the commutative property Multiplication and division, Repeated equal groupings; Products, factors, dividends and devisors unknown; Story problems throughout Find fractions of lengths and shapes, (Divide a whole), Create unit fractions, Create nonunit fractions 14.6 Equivalent fractions Year 3: Numbernumber and place value count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number 7.4, 7.5, 9.4, 9.5, 11.1 Find 10 more, Find 10 less, Find 100 more, 100 less, Skip count by 2s,5s,10s, 50, 100 recognize the place value of each digit in a 3- digit number (100s, 10s, 1,s) Part to Whole with 1s, 10s and 100s; decomposing 3-digit numbers into varying parts (partitioning related to place value) compare and order numbers up to 1, Compare 3-Digit numbers September 2015 Symphony Learning LLC Page 5 of 9

6 Key and Year identify, represent and estimate numbers using different representations 10.5, 12.1, 12.2, 12.3 Part to Whole with 1s, 10s and 100s, Regroup with 1, 2, and 3-digit numbers (partition related to place value) Year 3: Numberaddition and subtraction read and write numbers up to 1,000 in numerals and in words solve number problems and practical problems involving these ideas. add and subtract numbers mentally, including: a 3-digit number and 1 a 3-digit number and 10s a 3-digit number and 100s solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction Addition and subtraction word problems with 2-digit and 3-digit numbers with regrouping (partitioning related to place value) Addition and subtraction word problems with 2-digit and 3-digit numbers with regrouping (partitioning related to place value) Addition and subtraction word problems with 2- and 3-digit numbers with regrouping (partitioning related to place value) Addition and subtraction word problems with 2- and 3-digit numbers with regrouping (partitioning related to place value) Year 3: Numbermultiplication and division recall and use multiplication and division facts for the 3,4 and 8 mult tables Mastery Round Level 9, 10 Multiply and divide within 30 and 100, fluent retrieval of basic facts September 2015 Symphony Learning LLC Page 6 of 9

7 Key and Year write and calculate mathematical statements for multiplication and division using the mult. tables that they know, including for 2-digit numbers times 1-digit numbers, using mental and progressing to formal written methods 15.1, 15.4, 15.7, 15.8 Multiplication and division to 100; missing result, Commutative and Distributive Property and multiplication solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems. 15.2, 15.3, Multiplication and division to 100, missing numbers (factors, dividend, divisor), Connection between mult and division, Partitioning models, Commutative and distributive properties Year 3: Numbersfractions count up and down in tenths; recognize that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by recognise, find and write fractions of a discrete set of objects: unit fractions and non- unit fractions with small denominators recognise and show, using diagrams, equivalent fractions with small denominators 17.3, 18.1 Recognize fractions in the context of parts of a whole, a shape, and unit fractions as a division of a quantity and as numbers on the number line 17.1 Equivalent fractions, use of Fraction Bar, Number Line add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7] Addition and subtraction of fractions; find missing parts, missing wholes and missing relationships; Unit and non-unit fractions September 2015 Symphony Learning LLC Page 7 of 9

8 Key and Year compare and order unit fractions, and fractions with the same denominators 17.2 Compare fractions solve problems that involve all of the above , Year 4: Numbermultiplication and division recall multiplication and division facts for multiplication tables up to Mastery Round Level 9, 10 Multiply and divide within 100, Fact retrieval fluency Number-fractions (including decimals) use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers recognise and use factor pairs and commutativity in mental calculations solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects. recognise and show, using diagrams, families of common equivalent fractions count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten Multiplying and dividing by 1, 10, , 15.8 Commutative and Distributive Properties 15.8 Distributive property 17.1 Families of equivalent fractions, using Fraction Bars, Number Lines Sequencing, and Identifying decimals, Equivalence with 10ths and 100ths, Dividing a whole into 10 tenths or 100 hundredths September 2015 Symphony Learning LLC Page 8 of 9

9 Key and Year solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including nonunit fractions where the answer is a whole number , Add and subtract non-unit fractions, Compose and decompose fractions greater than 1 whole and mixed numbers add and subtract fractions with the same denominator , Add and subtract non-unit fractions, Compose and decompose fractions greater than 1 whole and mixed numbers recognise and write decimal equivalents of any number of tenths or hundredths recognise and write decimal equivalents to 1/4, 1/2, 3/4 find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths compare numbers with the same number of decimal places up to two decimal places Equivalence with 10ths and 100ths 19.5 Decimal notation with 10ths and 100ths 16.3, 16.4 Divide by 1, Comparing decimal numbers September 2015 Symphony Learning LLC Page 9 of 9