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.
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, 3315 173, 273 8000, 7000 500, 400 4136, 3136 883, 783 Starting Position: 2
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, 100 231, 281 67, 92 850, 800 500, 475 413, 363 883, 858 Starting Position: 3
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, 59 165,173 72, 63, 54 880, 872 177,168,159 673, 665 Starting Position: 4
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, 96,103 168,174 84, 77, 70 881, 875 176,169,162 693, 687 Starting Position: 5
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
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 356 100 less than 498 100 more than 1786 100 less than 3395 100 more and then 100 less than 2291 Can you find the number 1000 less than? *1 1000 more than 2478 1000 less than 3417 1000 more than 876 1000 more than 85 more less 1000 more and then 1000 less than 2503 more less *2 7
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 *2 4315 3100 Thousands Hundreds Tens Units 6670 (4000 + 300 + 10 +5) 5682 6426 Thousands Hundreds Tens Units 8723 1873 6150 Thousands Hundreds Tens Units 9902 8953 8
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, 980 1432 or 2135 2012, 1506, 1113 *2 6132 or 5690 267, 9280, 1227 6357 or 2234 8303, 3296, 1305 1139 or 2393 2430, 4788, 9824 1095 or 2091 1155, 578, 5902 1000 or 908 675, 958, 5230 207 or 7023 6119, 6657, 5458 6626 or 4404 2015, 5806, 5961 175 or 7670 2075, 2970, 2576 9
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 *3 551 663 1728cm 7579 8323cm 1086 7960 9411p Which is the greater? *2 3785cm 1145p or 31.21 1167p or 1.23 450cm or 1m 19cm 4m 78cm or 587cm 61m or 5567cm 6208p 1374p 878cm 10
Objective 7 Round any number to the nearest 10, 100 or 1000 67 to the nearest 10 72 to the nearest 10 145 to the nearest 10 567 to the nearest 10 234 to the nearest 100 Can you round these numbers to the nearest 10, 100 or 1000? *1 771 to the nearest 100 1987 to the nearest 1000 8756 to the nearest 1000 9385 to the nearest 1000 *2 3567 to the nearest 1000 *3 11
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
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 *2 9 19 3 75 10 92 6 100 13
Objective 11 1323 1234+ 1135 1412+ Add and subtract numbers with up to 4-digits using the formal written methods of columnar addition and subtraction where appropriate 1062 2025+ Can you calculate these accurately? 1172 4123+ *1 3276 1033-3459 1246-1569 2163-4777 1555- *3 1237 1459+ 1648 1225+ 2723 1645+ 1175 1236+ *2 3450 1126-7892 3569-3819 2720-4279 3458- *4 3451 2429+ 2356 3482+ 1273 3566+ 3291 3251+ 5353 2466-6211 3736-7351 5675-8432 4677-5672 1345 1436+ 7562 2386 4375+ 8943 1923 4578+ 9532 7321 5659+ 14
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? 27 + 65 *1 67 + 35 *3 39-13 102-67 35 + 56 26 + 19 135 + 121 Can you quickly estimate the answers to these calculations to the nearest 100? 345-190 *2 256-135 729 + 260 760-205 845 + 190 205 + 555 724-128 15
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
Objective 17 200 3x 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 *1 90 9 50 2 60 3 80 4 *3 37 9x 48 5x 72 6x 75 8x *2 12 6 87 3 84 7 56 8 *4 51 9x 56 7x 73 6x 91 5x 324 4 720 9 865 5 658 7 672 6x 562 7x 943 8x 532 9x 17
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 = = = 6 4 12 2 *1 2 = 3 = 1 8 3 = = 12 8 4 6 = 9 = 3 8 *2 9 = = 12 8 4 *2 2 = 3 = 4 = 1 6 *3 3 = = = 9 6 12 3 *3 4 = 6 = 8 = 2 6 *4 6 = = = 9 6 12 3 *4 18
Objective 25 2 + 1 = 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 *2 1 + 2 = 6 6 3-1 = 4 4 3 + 1 = 10 10 7-3 = 10 10 1 + 3 = 5 5 3-1 = 5 5 1 + 5 = 6 6 9-4 = 10 10 19
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
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? 60 10 *1 300 100 *2 700 10 62 100 7 10 5 100 91 10 79 100 85 10 87 100 21
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; 9.4 45.1; 4.51; 1.45 5.3; 5.2; 6.1 7.2; 7.19; 7.17 7.27; 7.15; 7.16 *2 31.3; 6.17; 3.13 8.23; 7.34; 7.43 7.21; 5.5; 3.23 Starting Position: 22