Round the Four Dice



5391150000Home Learning OpportunitiesClass: Year 6Learning activities set for the week beginning Monday 20th AprilLearning activities to be completed by Friday 25th AprilTo send your writing to your Class Teacher, e-mail it to: 6bp@osborne-pri.bham.sch.ukHome Learning Opportunities Week 1 Summer 1Monday AMMonday PMMaths LiteracyComplete pages 1-5 of ‘Doors – the world of possibility’. Complete pages 28-29 in punctuation revision guides.Science – Light and ShadowRead through the information on Newton and Colour in Rainbow Effect. Answer the following questions:What did Newton shine light into to discover that light separated into different colours?How did Newton explain that we see objects in colour?Why was it difficult to paint in blue before 1700?What do you think others thought of what Newton’s theory of light?Online Learning:BBC Bitesize Year 6 Session : Rounding Use TT Rock Stars/ NumbotsOnline Learning:Online Learning:Tuesday AMTuesday PMMaths Complete half of your arithmetic test from your revision folder. The answers are available in the back of the folder.LiteracyComplete 10-minute tests – Set C Test plete pages 30-31 in spelling revision guide.Science – Light and ShadowHave a go at the investigation in Rainbow Effect. Make sure you ask an adult to help you.Draw what you see on a plain piece of paper. Online Learning:BBC Bitesize Year 6 Session : Rounding DecimalsClassroom secrets: Year 6 rounding game.Online Learning:Use Scholastic Reading onlineOnline Learning:Wednesday AMWednesday PMMaths Complete Maths Problem 1 – Round the Four DiceLiteracyComplete pages 32-33 in spelling revision plete pages 30-31 in punctuation revision guides.Physical EducationOnline Learning:BBC Bitesize Year 6 Session : Negative NumbersUse TT Rockstars/NumbotsOnline Learning:Use Scholastic Reading onlineOnline Learning:PE with Joe/The Body Coach – You TubeJust Dance Kids – You TubeThursday AMThursday PMMaths Complete half of your arithmetic test from your revision folder. The answers are available in the back of the folder.LiteracyComplete 10-minute tests – Set C Test plete pages 45-46 in punctuation revision guide. Science – Light and ShadowWrite a scientific explanation of your drawing from last session. Use safe search online to find out more information about how light separates into colours. Label your diagram with information.Online Learning:BBC Bitesize Year 6 Session : Add and Subtract IntegersClassroom secrets: Add and Subtract integers gameOnline Learning:BBC Bitesize Year 6 – Identify nouns and pronounsOnline Learning:Friday AMFriday PMMaths Complete Maths Problem 2 – Consecutive NumbersLiteracyComplete Jimmy and the Pharaoh activity in Revision plete pages 34-35 in spelling revision guide.PSHEOnline Learning:BBC Bitesize Year 6 Session : Week 1 ChallengesOnline Learning:Classroom Secrets: Y6 antonym matching games 1-3.Online Learning:BBC Bitesize – Starting Secondary SchoolComplete the activities. Maths Problem 1Round the Four DiceAge 7 to 11?There are four dice, each of them with faces labelled from 1 to 6.When the dice are rolled they can be combined in twenty four different ways to make a four-digit number.For example, if I roll a 1, 2, 3 and 4 I can combine them to make:1234, 1243, 1324, 1342, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431, 3124, 3142, 3214, 3241, 3412, 3421, 4123, 4132, 4213, 4231, 4312 or 4321.Now pick four different four-digit numbers from the list and round each of them to the nearest multiple of 1000. For example, 1324 rounds to 1000, 2314 rounds to 2000, 4312 rounds to 4000 and 4123 rounds to 4000.Do the four four-digit numbers you choose ever all round to the same multiple of 1000?Do the four four-digit numbers you choose ever round to unique multiples of 1000?Maths Problem 2Consecutive NumbersAge 7 to 14?Well I wonder how often you have noticed that there are numbers around the place that follow one after another?1, 2, 3 ...?etc.? Sometimes they appear in reverse order when a countdown is happening for a launch of a rocket. But usually they happen in an order going up, like when you read through a book and notice the page numbers. These kinds of numbers are called consecutive numbers, you may have heard of the word before - it simply means that they are whole numbers that follow one after another.This investigation uses the idea of consecutive numbers and gives us other numbers to explore.? You may very well discover things that NO ONE else has discovered or written about before, and that's GREAT!So this is how it starts.?You need to choose any four consecutive numbers and place them in a row with a bit of a space between them, like this:When you've chosen your consecutive numbers, stick with those same ones for quite a while, exploring ideas before you change them in any way. Now place?+?and???signs in between them, something like this :4 + 5 - 6 + 74 - 5 + 6 + 7and so on until you have found all the possibilities. Are you sure you've got them all?? You should include one using all?+'s and one that includes all??'s.Now work out the answers to all your calculations (e.g.?4 - 5 + 6 + 7 = 12?and so on).Now try other sets of four consecutive numbers and look carefully at the sets of answers that you get each time.Are you surprised by anything you notice?It is probably a good idea to write down your 'noticings'. This can lead you to test some ideas out by starting with new sets of consecutive numbers and seeing if the same things happen in the same way.You might now be doing some predictions that you can test out...FINALLY, it is good to ask the question "I wonder what would happen if I ... ?"You may have thought up your own questions to explore further. Here are some we thought of:"What would happen if I took the consecutive numbers in an order going down, instead of up?""What would happen if I only used sets of three consecutive numbers?""What would happen if I used more consecutive numbers?""What would happen if I changed the rule and allowed consecutive numbers to include fractions or decimals?""What would happen if I allowed a?+?or???sign before the first number?" ................
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