Inmans Primary School Mathematics Medium Term Planning Year 5 Autumn Term Year 5 Autumn Term Big Maths Counting Progress Drive Place Value Squiggleworth It’s nothing new Steps 4. I can partition a 2dp number 5. I can partition a 3dp number Ordering Numbers 4. I can order numbers with 3 decimal places Count Fourways 7. I can count in 25s, 250s, 2.5s, ¼ 8. I can count in equivalent fractions. Counting Along 3. I can count along for all of Count Fourways challenges. 4. I can count along when there are no lines Count in powers of 10 in steps up to 1,000,000 Count in 10,000 and 100,000 Progress Drive Adding in different contexts. Pim Halving Number bonds X10/100/ 1000 ÷10/100/ 1000 Smile Multiplication Coin Multiplication Multiples of numbers Where’s Mully Understanding and using mathematical vocabulary. Pom’s Words Steps 3. I can add thousands 3000+4000 4.I can add tenths 0.3+0.4 5.I can add hundredths 0.03+0.04 6. I can halve any 3 digit number 4. I know the missing piece to 1000 346+?=1000 3. I can multiply decimals by 10 2.3x10 3. I can divide decimals by 10. 3.5÷10 3.I can write smile multiplication fact families. 30x7=210 7x30=210 210÷30=7 210÷7=30 4. I can do smile multiplication for tenths. 7x0.4=2.8 3. I can complete a full coin card 1, 2, 5, 10, 20, 50, 100. 1x32 2x32 5x32 10x32 20x32 50x32 100x32 4.I know when to add 2 multiples together 11x32= 1x32 10x32 2. I can find Mully using 10 lots and a tables fact 2.I know what a factor is 3.I understand square numbers Calculation Addition 33.I can I can solve any 1 dp add 1 dp. 0.8+0.9 34. I can solve 1d.1dp and 1d.1dp. 3.4+2.5 35.I can solve any 1d.1dp and 1d.1dp. 6.7+8.4 36.I can solve addition with 2 dp. 4.37+4.62 37.I can solve any addition with 2 dp. 3.85+8.67 Subtraction 33. I can solve 3 digit subtract 3 digit as money. £6.28-£2.35 34.I can subtract numbers with hundredths. 6.282.35 Multiplication 16.I can solve 2 digit times 2 digit. 38x69 67x86 17. I can multiply tenths. 4x0.3 6x 0.4 Division (x6,7, 8 or 9) 23.I can combine 2 or more tables facts to solve division with division. 120÷9 24.I can use a smile multiplication fact to find a division fact. 150÷5 25.I can use a smile multiplication fact to find a division fact with division. 152÷5 Outline of main topics Week Main Topic Title Objectives 1 Number Links with Big maths objectives) Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit Reading numbers 6-9. Use the vocabulary of comparing and ordering numbers. Order a set of numbers up to 1 million Compare numbers up to 1 million, find a number in-between, use < and > signs Order decimal numbers to 3 decimal places Ordering numbers 3-4 Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000 Count Fourways 4 Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000 Solve number problems and practical problems that involve all of the above 2 and 3 Addition and Subtraction Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) Formal column method of addition with 4 digit numbers Addition 3238 Vertical informal method of subtraction up to 4 digits. ( Find difference by counting up through next multiple of 10, 100, 1000) (See calculation Policy) Add and subtract numbers mentally with increasingly large numbers Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Calculation Policy Children will consolidate from 3b and move on to carrying below the line. 625 783 367 + 48 + 42 + 85 673 825 452 1 1 11 Children should extend the carrying method to numbers with at least four Links with strategy, unit plans and Hamilton Unit 1 Place Value Autumn Term Hamilton Trust Week Unit Plans Unit 11 Hamilton Trust digits. 587 + 475 1062 1 1 3587 + 675 4262 1 1 1 Calculation Policy Children will begin to record these methods vertically towards the end of this term. 189 - 46 4 (50) 50 (100) 89 (189) 143 4 Measurement 267 - 149 - 9 258 - 40 218 - 100 118 . Convert between different units of metric measure (e.g. kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre) Read units of measure on scales Note link this with x by 10, 100 and 1000 its nothing new. X10, 100, 1000,1-5. ÷10, 100, 1000,1-5. Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres (rectangular shapes in the Autumn term) Measure and draw lines to the nearest mm. Calculate and compare the area of squares and rectangles including using standard units, square centimetres (cm2) by counting squares. Solve problems involving converting between units of time Read the time on 24-hour digital clock, e.g. 19:53. Unit Plans 9 and 10 Hamilton Week 5 and 6 Fractions Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths Unit Plan Unit 4 Hamilton Week Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number (e.g. 2/5 + 4/5 = 6/5 = 11/5) Use fraction notation, including mixed numbers, and vocabulary numerator and denominator. Change an improper fraction to a mixed number. Count Fourways 1-8 Read and write decimal numbers as fractions (e.g. 0.71 = 71/100) Read, write, order and compare numbers with up to three decimal places Recognise the per cent symbol (%) and understand that per cent relates to “number of parts per hundred”, and write percentages as a fraction with denominator hundred, and as a decimal fraction Ongoing teacher assessments during the half term. Weekly Big Maths “BeatThat” tests. Problems and puzzles set linked to work covered during the half term. Half Term 1 2 and 3 Problem Solving and Number Sequences Multiplication Mental and Written Methods Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. Pom’s Words 1-2. POM Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back. Count Fourways 1-8 Know squares of numbers to at least 10x10. Recognise multiples of 6, 7, 8, 9 up to the 10th multiple. Find all the pairs of factors of any number up to 100. Solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict. Suggest extensions asking ‘What if…..? Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.POM Unit Plan Week 12 Unit Plans Week 2 / 3 Hamilton Trust Week Solve problems involving multiplication and division where larger numbers are used by decomposing them into their factors Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method Multiplication up to 17 Autumn – refresh 3 digit by 1 digit using a grid moving onto 2 digit by 2 digit using a grid (See calculation Policy) Grid method Multiplication 15 HTU x U 346 x 9 Children will approximate first 346 x 9 is approximately 350 x 10 = 3500 x 300 40 6 9 2700 360 54 1 1 TU x TU Multiplication 16 72 x 38 Children will approximate first 72 x 38 is approximately 70 x 40 = 2800 x 70 2 30 2100 60 8 560 16 1 2700 + 360 + 54 31 1 4 2100 + 560 + 60 + 16 2736 Multiply and divide numbers mentally drawing upon known facts Divide numbers up to 4 digits by a one-digit number. Division 23-25 3 digit by 1 digit on a number line moving onto 3 digit by 1 digit chunking. (See Calculation Policy) Division24-26 Multiply and divide whole numbers and those involving decimals by 10, 100 X10, 100, 1000,1-5. ÷10, 100, 1000,1-5. Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign Short division using a number line TU ÷ U and HTU / U +50 +20 +2 10 x 5 0 4x 50 70 72 Then onto the vertical method Chunking - 4 5 Statistics (Can be covered cross curricular if applicable) Geometry 72 50 (10 x 5) 22 20 (4 x 5) 2 Answer : 14 remainder 2 Solve comparison, sum and difference problems using information presented in a line graph Complete, read and interpret information in tables, including timetables. Identify 3-D shapes, including cubes and other cuboids, from 2-D representations Identify and recognise properties of rectangles. Classify triangles: isosceles, equilateral, scalene, lines of symmetry. Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles o Measure them in degrees ( ) Unit Plans 6a and 6b Hamilton Trust Unit Plans Unit 8 o Identify angles at a point on a straight line and ½ a turn (total 180 ) 6 7 Position and Direction Assess and Review Describe positions on a 2-D grid as coordinates in the first quadrant Describe movements between positions as translations of a given unit to the left/right and up/down Plot specified points and draw sides to complete a given polygon. Ongoing teacher assessments during the half term. Weekly Big Maths “BeatThat” tests. Problems and puzzles set linked to work covered during the half term. Rigby Star test completed to assess children and support future planning and pupil’s needs. Big Maths Rigby Star
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