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Finborough School Learning Programme Year Group: 5 Subject: Maths Week Commencing 07/09 Autumn Term 2015 14/09 21/09 Learning (Objective) Read and write 5-digit numbers, understanding the place value Use < and > signs to compare and order 5-digit numbers Use written addition to add two 4-digit numbers Add and subtract 2-digit numbers mentally, using place value and number bonds. Solve subtraction by counting up (Frog method). Choose a strategy for solving mental addition or subtractions and solve word problems. Understand place value in decimal numbers and multiply and divide numbers with up to two decimal places by 10 and 100. Multiply and divide by 0 and 100, add and subtract 0·1 and 0·01. Multiply and divide by 4 by doubling or halving twice. Use mental multiplication strategies to multiply by 20, 25 and 9. Success Criteria Can make the largest number, the smallest number and a number in between 5-digit numbers. Can compare 5 digit numbers and write a rule for how to compare numbers. Can use expanded vertical addition to add two 4-digit numbers, estimating the answer first using rounding. Can add 2-digit numbers to 2- and 3-digit numbers. Solve and check by subtracting. Can subtract by counting up, using Frog method (preferably using the quicker method). Can solve addition & subtraction word problems using mental methods. Can identify the value of each digit in a number with two decimal places. Can place decimal hundredths on a number square, and can add & subtract tenths and hundredths. Can multiply and divide (2 and 3 digit numbers) by 4 by doubling and halving twice. Can use mental multiplication strategies to multiply by 20, 25 and 9. Can make, order and compare 4-digit numbers, and find the largest. Can compare 4 digit numbers and write a rule for how to compare numbers. Can use expanded vertical addition to add two 4-digit numbers with thousands digit less than 5. Can add 2-digit numbers using partitioning. Subtract 2digit numbers counting up or back. Can subtract by counting up, using Frog method (slow method). Can solve addition & subtraction word problems using mental methods using visualisation. Can use given clues to identify the value of each digit in a number with two decimal places. Can place decimal tenths on a number line. Can multiply and divide (1 and 2 digit numbers) by 4 by doubling and halving twice. Can double a 2 digit number and then multiply it by 10 or 100. Read, write (in figures and words) and order 5-digit numbers. Can compare 5 digit numbers, order four 5-digit numbers with zero place holders and write a rule for how to compare numbers. Can use compact written addition to add two then three 4digit numbers, estimating the answer first using rounding. Can add & subtract 2 and 3-digit numbers mentally. Can select the operation to use for words problems. Can work out when they should use Frog and when they should use a written method. Can solve ‘two-step’ addition & subtraction word problems using mental methods. Cloud Clash Core: Add multiples of 10 000, 1000, 100, 10 and 1 to make 5-digit numbers up to 99 999. Support: Add multiples of 10 000, 1000, 100, 10 and 1 to make 5-digit numbers up to 49 999. Challenge: Add multiples of 100000, 10000, 1000, 100, 10 and 1 to make 6-digit numbers. Smack the shack Core: Subtract pairs of 2-digit numbers by counting up from the smaller number using known facts and place value. Support: Slowly subtract pairs of 2-digit numbers by counting up from the smaller number using known facts and place value. Challenge: Quickly subtract pairs of 2-digit numbers by counting up from the smaller number using known facts. Can identify the value of each digit in a number with three decimal places. Can use a 0 to 1 number square, labelled in hundredths, to add decimal values. Can multiply and divide by 4 by doubling and halving. Identify a relationship between multiplying by 4 and dividing by 4twice, writing the inverse number sentence. Can use mental multiplication strategies to multiply by 20, 25 and 9 in a random context. Jungle Jump Core: Multiply 2-place decimals up to 9·99 by 100. Support: Multiply 2-place decimals up to 4·99 by 100. Challenge: Quickly multiply 2-place decimals up to 9·99 by 100. Core Support Challenge Homework (s) Finborough School Learning Programme Year Group: 5 Subject: Maths Week Commencing 28/09 Autumn Term 2015 05/10 12/10 Learning (Objective) Calculate time intervals using 24-hour clock format. Measure lengths in mm and convert to cm. Find perimeters in cm and convert cm to m. Solve subtractions using a written method for3-digit and then 4-digit numbers. Use counting up (Frog) as a strategy to perform mental subtraction. Find change from a multiple of ten pounds using counting up. To recap, revise, assess & evaluate the term’s learning. Success Criteria Can calculate time intervals of more than an hour by reading a 24 hour timetable. Can measure accurately in both cm and mm and convert between the two. Can estimate & measure the perimeters of rectangles in cm & convert to m. Can calculate 3 and 4-digit subtractions by using the compact method. Can subtract up to 4-digit numbers by using the counting up method. Can generate and solve finding change problems up to £50. Can identify areas of strength and weakness and target an area for improvement. Can read a timetable using 24-hour times. Can convert between cm and mm. Can estimate & measure the perimeters of rectangles in cm. Can calculate 3 and 4-digit subtractions by using the compact or decomposition method. Can subtract up to 3-digit numbers by using the counting up method. Can find change values up to £20 by using the counting up (frog) method. Can identify areas of strength and weakness. Can calculate time intervals of any duration by reading 12 & 24 hour timetables and interpreting word problems. Can convert 4-digit measurements from cm to mm and decimals from cm to mm. Can investigate patterns involving relationships between width and length of rectangles, in cm and m. Can calculate 4-digit subtractions by using the compact method, and check using addition. Can subtract 4-digit numbers by using the counting up method, including subtracting from multiples of 1000. Can generate and solve finding change problems up to £200. Can identify areas of strength and weakness and target an area for further development. Marching Madness Core: Calculate the time interval, in hours and minutes, between 24-hour clock times where the interval is < 4 hours. Support: Slowly calculate the time interval, in hours and minutes, between 24-hour clock times where the interval is initially less than 1 hour. Challenge: Quickly calculate the time interval, in hours and minutes, between any two 24-hour clock times. Compact Subtraction Core: Use compact decomposition to subtract 3-digit from 3-digit numbers. Support: Use compact or expanded decomposition to subtract 3-digit from 3-digit numbers. Challenge: Use compact decomposition to subtract 4-digit from 4-digit numbers. Revision Core Support Challenge Homework (s) Finborough School Learning Programme Year Group: 5 Subject: Maths Week Commencing Autumn Term 2015 02/11 09/11 16/11 Learning (Objective) Recognise which numbers are divisible by 2, 3, 4, 5, 6, 9 10 and 25, identify multiples. Find factors of numbers to at least 40. Find equivalent fractions and reduce fractions to their simplest form. Use mental strategies to multiply and divide multiples of 10 and 100. Use a written method to multiply 3-digit and 4-digit numbers by 1-digit numbers. Divide 3-digit numbers by 1-digit numbers using a written method. To measure angles in degrees and use terms obtuse, acute and reflex angles. Use angle facts to explain and find missing angles (180 and 360 degrees). Name parts of a circle including diameter, radius and circumference. Success Criteria Can recognise multiples of 2, 4, 5 and 9. Can find and record all factors of each number up to at least 40 using a systematic approach. Can identify equivalent fractions and begin to reduce them into their simplest form. Can use multiplication facts and place value to multiply and divide multiples of 10 and 100. Can multiply 3-digit by 1-digit numbers using the ladder method. Can divide 3-digit by 1-digit numbers using a written method with integer remainders and answers < 50. Can use a protractor to measure angles, classifying them as acute, obtuse or reflex. Can recognise that angles on a straight line total 180° and angles round a point total 360°. Can draw circles and arcs, including using compasses. Can recognise multiples of 2, 5 and 10. Can find and record all factors of each number up to at least 25. Can identify equivalent fractions and recognise fractions in their simplest form. Can use single digit multiplication facts to multiply and divide multiples of 10 and 100. Can multiply 2-digit by 1-digit numbers using the ladder method. Can divide 2-digit by 1-digit numbers using a written method with integer remainders. Can compare and classify acute and obtuse angles. Can recognise and identify angles that are multiples of 90°. Can use the terms radius and diameter; identify the radius and diameter of different circles. Can recognise multiples of 3,6 and 25. Can find and record all factors of each number up to at least 50 and see patterns in numbers with an odd number of factors. Can identify equivalent fractions and reduce them into their simplest form. Can use related facts to find all the products of 3-digit multiples of 10. Can multiply 4-digit by 1-digit numbers using the ladder method. Can divide 3-digit by 1-digit numbers using a written method with fraction remainders and answers > 50. Can estimate, measure, draw and classify angles. Can use mathematical reasoning to explain findings, patterns and relationships. Can draw circles and arcs with a given radius. Reel It In Core: Recognise numbers divisible by 2, 3, 4, 5, 6 or 9. Support: Recognise numbers divisible by 2, 3, 4 or 5. Challenge: Recognise numbers divisible by 2, 3, 4, 5, 6, 9 or 25. Get The Yeti Core: Multiply multiples of 100 and 1000 by 1-digit numbers. Support: Multiply multiples of 10 and 100 by 1-digit numbers. Challenge: Quickly multiply multiples of 100 and 1000 by 1-digit numbers. Lava Drama Core: Position numbers to 10 000 onto partially marked number lines. Support: Position numbers to 10 000 onto partially marked number lines, where the numbers match marks or mid-points of intervals. Challenge: Quickly position numbers to 10 000 onto partially marked number lines. Core Support Challenge Homework (s) Finborough School Learning Programme Year Group: 5 Subject: Maths Week Commencing 23/11 Autumn Term 2015 30/11 07/12 Learning (Objective) Round 5-digit numbers up or down to the nearest 10, 100, 1000 or 10000. Place decimals up to two places on a line and round to the nearest whole number. Reduce fractions to their simplest form. Know equivalent fractions and decimals to a half, tenths and fifths. Choose mental or written addition/subtraction strategies to solve addition/subtraction. Use mental and written methods to solve word problems involving multiplication and division. Understand that addition and subtraction are inverse operations, as are multiplication and division. To recap, revise, assess & evaluate the term’s learning. Success Criteria Can place 5-digit numbers on a number line. Can place numbers with one or two decimal places on a line and round to the nearest whole. Can reduce fractions to their simplest form. Can recognise common equivalent fractions and decimals: tenths & hundredths. Can use place value and columns to add/subtract numbers up to 3-digits. Can choose a written or mental method to solve multiplication and division questions involving HTU and U. Can use the inverse operation to find answers. Can identify areas of strength and weakness and target an area for improvement. Can use columns to add/subtract numbers with up to 4digits. Can choose a written method to solve multiplication and division questions involving HTU and U. Can use the inverse operation to find answers (addition & subtraction, and multiplication & division [1 digit]. Can identify areas of strength and weakness. Support Can place 4-digit numbers on a number line. Can place numbers with one decimal place on a line and round to the nearest whole. Can reduce fractions to their simplest form using diagrams for support. Can recognise common equivalent fractions and decimals: halves. Can use an appropriate mental or written method to solve addition/subtraction problems. Can choose a written or mental method to solve multiplication and division questions involving ThHTU & U, and TU & TU. Can use mathematical reasoning to work out a function (single & double operations). Can identify areas of strength and weakness and target an area for further development. Challenge Can round 5-digit numbers to the nearest 10, 100, 1000. Can place numbers with one or two decimal places on a line and round to the nearest whole and tenth. Can recognise equivalent fractions and reduce fractions to their simplest form. Can recognise common equivalent fractions and decimals: tenths, hundredths & fifths. Clam Collector Core: Collect, in order, a set of 1- or 2-place decimal numbers between 1 and 20. Support: Collect, in order, a set of 1-place decimal numbers between 1 and 20. Challenge: Quickly collect, in order, a set of 2-place decimal numbers between 1 and 20. Robot Blaster Core: Add a 2-digit and a 3-digit number; add pairs of 1place decimals. Support: Slowly add two 2-digit numbers; 2-digit and 3digit numbers; pairs of 1-place decimals < 4·9. Challenge: Quickly add pairs of 1-place decimals. Revision Homework (s) Core