### Numeracy Passports - Stage 7

 To be successful, they need to know these without materials or prompts and respond correctly in three seconds:Converts fraction to decimal to percents for halves, 3rds, quarters, 5ths & 10thsRatios and proporttions can be represented as decimals and percentages. Can you child rename ¾ as 0.75 and 75%? Or 2/5 = 0.4 (equivalent to 4 tenths) = 40% (ez=quivalent to 40 hundredths)Knows divisibility rules for 2. 3. 5, 9 & 10Can your child tell you that 471 is divisable by 3 since 4+7+1 =12? 236 is divisable by 2 because is is an even number? 234 is divisible by 9 (sum of the digits = 9)Orders decimals to 3 placesCan your child order any decimal? For example 1.27 , 1.6, 1.45 Correct order = 1.27, 1.45. 1.6Order fractionsCan your child put any fractions in order of size? They will need to be able to convert them to equivalent fractions with the same denominator. For example if you gave them 3/5, 1/20. 5/8, 7/10 could they put them into the correct order? 1/20, 3/5, 5/8, 7/10?Know groupings of numbers to 10 in numbers to 100 and finds the resulting remaindersThis is like division, how many groups of 10 are there in 2834? There are 283 with four left over. How many hundreds are there in 3829? There are 38. Think of it with money if this does not make sense. If you took \$2984 to the bank and asked for \$10 bills, you would get 298 \$10 notes, and \$4 in coins.Know groupings of 10, 100 and 1000 from 7 digit numbersCan your child instantly tell you how many tens in 47 562 (4756), hundreds in 782 894 (7828), thousands in 2 785 671 (2785)?Knows equivalent fractions (halves, 3rds, quarters, 5ths and 10ths)1 in 4 is equivalent to 25 in 100 or 250 in 1000. Rounds whole numbers and decimals to nearest whole number or 1/10?Can your child round any decimal number to the nearest whole number or 1/10? 4.3 = 4, 6.7 = 7, 34.48 = 34 …6.49 to 6.5 (nearest tenth)Recalls division facts for all the ten times tables.Can your child instantly tell you the answer to all division facts for all the tables? E.g 48 divided by 6? 64 divided by 8? 36 divided by 9?Says decimal sequence forwards and backwards by 1000ths, 100ths, 10ths, ones, tens etcCan your child say any numbers with decimals and count forwards or backwards in 1000ths, 100ths, 10ths etc. e.g 274.193 as two hundreds, seven tens, four ones, one tenth, nine hundredths and three thiousandths. 163.825 , 163.835, 163.845, 163.855 (forward sequence in 100ths)Says number 1/1000th, 1/100th, 1/10th before & after any numberAsk your child what the number is if increased or decresed by one, eg 23.964 plus one tenth = 24.064 Ask what is 1/100th more than 62.56? (62.57)Knows square numbers to 100Squaring a number gives the area of a square that has sides of that length e.g 8 x 8 =64 which can be written as 8 to the power of 2. Can your child name all the square numebrs to 100? 7 squared is ? 49. Your child should also be able to give you the corresponding root eg the square root of 81 is 9.Identifies factors of numbers to 100Can your child identify the factors if numbers including prime numbers, eg factors of 36 = 1,2,3,4,6,9,12,18,36. Factors of 24 = 1,2,3,4,6,8,12,24 factors of 30 = 1,2,3,5,6,10,15,30Identifies common multiples of numbers to 10Multiples that are common to two or more numbers are said to be common multiples.e.g. Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, …Multiples of 3 are 3, 6, 9, 12, 15, 18, … So, common multiples of 2 and 3 are 6, 12, 18, …35, 70 and 105 are common multiples of 5 and 7. Performs column addition and subtraction for whole numbersPerforms short multiplication and division of 3 digit numbers by 1 digit numberCan your child say answers to problems like these quickly? 620 divided by 3? 246 divided by 3? 221 x 4? 305 x 2? 121 x 4? 473 x 8 ? 784 divided by 7?