Focus on Mathematics

Transcription

1 Focus on Mathematics Year 4 Pre-Learning Tasks Number Pre-learning tasks are used at the start of each new topic in Maths. The children are grouped after the pre-learning task is marked to ensure the work is pitched correctly. St Leonard s use the pre-learning tasks devised by Focus Education for Number but class teachers create their own tasks for all other areas of Mathematics.

2 Objective 1 (i) Count in multiples of 6, 7, 8, 9, 10, 25, 50, 100 and 1000 from any given number. Can you count on or back as required? 3000, 4000 *1 200, 300 *2 2315, , , , , , 783 Starting Position: 2

3 Objective 1(ii) Count in multiples of 6, 7, 8, 9, 10, 25, 50, 100 and 1000 from any given number. Can you count on or back as required? 150, 200 *3 75, , , , , , , 858 Starting Position: 3

4 Objective 1(iii) Count in multiples of 6, 7, 8, 9, 10, 25, 50, 100 and 1000 from any given number. Can you count on or back as required? 36, 45, 54 *4 64, 72, 80 41, 50, ,173 72, 63, , ,168, , 665 Starting Position: 4

5 Objective 1(iv) Count in multiples of 6, 7, 8, 9, 10, 25, 50, 100 and 1000 from any given number. Can you count on or back as required? 49, 56, 63 *4 66, 72, 78 89, 96, ,174 84, 77, , ,169, , 687 Starting Position: 5

6 Objective 2 Read and write numbers to 10,000 in numerals and words Can you write these numbers in numerals? Two hundred and fourteen Can you write these numbers in words? *1 461 One thousand, three hundred and sixty-four Nine thousand, one hundred and two Four thousand, three hundred and eighty- three Sixteen thousand, four hundred and five *2 79 1,247 *2 8,392 *3 9,709 *3 6

7 Objective 3 Find a 1000 more or less than a given number Can you find the number 100 more or less than? 100 more than less than more than less than more and then 100 less than 2291 Can you find the number 1000 less than? * more than less than more than more than 85 more less 1000 more and then 1000 less than 2503 more less *2 7

8 Objective 4 Recognise place value of each digit in a 4-digit number (thousands, hundreds, tens, ones) Can you place the thousands, hundreds, tens and the units in the correct place? 2317 Thousands Hundreds Tens Units *1 Partition these numbers * Thousands Hundreds Tens Units 6670 ( ) Thousands Hundreds Tens Units Thousands Hundreds Tens Units

9 Objective 5 Order and compare numbers beyond 1000 Can you say which is the greater and the smaller number? Greater Smaller *1 Can you order these numbers (smallest first)? 206, 1340, or , 1506, 1113 * or , 9280, or , 3296, or , 4788, or , 578, or , 958, or , 6657, or , 5806, or , 2970,

10 Objective 6 Identify, represent and estimate numbers using different representations Can you put each digit in the correct column? Can you write these as and p or as m and cm? Th H T U *1 4913p * cm cm p Which is the greater? *2 3785cm 1145p or p or cm or 1m 19cm 4m 78cm or 587cm 61m or 5567cm 6208p 1374p 878cm 10

11 Objective 7 Round any number to the nearest 10, 100 or to the nearest to the nearest to the nearest to the nearest to the nearest 100 Can you round these numbers to the nearest 10, 100 or 1000? *1 771 to the nearest to the nearest to the nearest to the nearest 1000 * to the nearest 1000 *3 11

12 Objective 8 Count backwards through zero to include negative numbers. Can you tell me which is the greatest? What comes next in these sequences? 0, 2, -2 *1 3, 2, 1, 0, -1, *2-4, 0, -5-5, -4, -3, -2, -1 9, -4, 0, -14-2, -3, -4, -5-8, 0, 6, -3 1, 0, -1, -2, -3 Starting Position: 12

13 Objective 10 Read Roman numerals to 100 (1 to C) and know that over time, the numeral system changed to include the concept of zero and place value Can you write these numbers as Roman numerals? 5 *1 23 *

14 Objective Add and subtract numbers with up to 4-digits using the formal written methods of columnar addition and subtraction where appropriate Can you calculate these accurately? * * * *

15 Objective 13 Estimate and use inverse operations to check answers to a calculation Can you quickly estimate the answers to these calculations to the nearest 10? What do you notice about these calculations? * * Can you quickly estimate the answers to these calculations to the nearest 100? *

16 Objective 15 Recall multiplication and division facts for tables up to 12 x 12 Can you complete these very quickly? (2 minutes maximum) Can you complete these very quickly? (2 minutes maximum) 5 x 7 *1 How many 7s in 35? *2 9 x 3 How many 12s in 24? 11 x 8 How many 2s in 36? 6 x 10 How many 8s in 64? 7 x 12 How many 9s in 27? 9 x 4 How many 11s in 33? 4 x 8 How many 3s in 27? 10 x 9 How many 8s in 88? 10 x 10 How many 6s in 42? 16

17 Objective x 400 5x Multiply and divide 2-digit and 3-digit numbers by 1-digit number using formal written layout Can you multiply or divide these accurately? 600 4x 300 8x * *3 37 9x 48 5x 72 6x 75 8x * *4 51 9x 56 7x 73 6x 91 5x x 562 7x 943 8x 532 9x 17

18 Objective 20 Recognise and show, using diagrams, families of common equivalent fractions with denominators up to and including 12 Can you work out the missing numbers to complete these fractions? 2 = 3 = 6 = 1 4 *1 3 = = = *1 2 = 3 = = = = 9 = 3 8 *2 9 = = *2 2 = 3 = 4 = 1 6 *3 3 = = = *3 4 = 6 = 8 = 2 6 *4 6 = = = *4 18

19 Objective = 4 4 Add and subtract 2 fractions with the same denominator Can you work out the missing numbers to complete these fractions? *1 3-1 = 6 6 * = = = = = = = =

20 Objective 26 Recognise and write decimal equivalents of any number of tenths and hundredths Can you write the decimal equivalents of these fractions? 1/10 *1 3/100 *2 3/10 6/100 7/10 5/100 9/10 7/100 5/10 8/100 20

21 Objective 28 Find the effect of dividing a 1 or 2-digit number by 10 and 100; identify the value of the digits in the answer as ones, tenths and hundredths Can you work out the answers to these divisions? * *

22 Objective 30 Compare numbers with the same number of decimal places up to 2 decimal places Can you tell me which is the greatest; and then order them? 4.2; 5.3; 2.7 *1 13.3; 2.17; 2.9, *3 6.8; 3.1; ; 4.51; ; 5.2; ; 7.19; ; 7.15; 7.16 *2 31.3; 6.17; ; 7.34; ; 5.5; 3.23 Starting Position: 22