Year 6 Mathematics Week commencing 22062020 What a
- Slides: 46
Year 6 Mathematics Week commencing: 22/06/2020 • • • What a treat it is to be able to enjoy your maths lessons at home! There is a little work for each day; usually consisting of some arithmetic and then your Maths-No Problem! lesson. You should have received your MNP workbook and an exercise book through your door. You should already have your CGP book from the last day that you were in school. Parents should have received an email from Maths-No Problem! on Monday, April 6 th, asking them to set up login details (username and password). Please check your junk mail if you have not seen it yet. This will allow you to access the MNP website, including the text book, work book and answers! There is also a guide as to finding your way around the site. • Answers to the arithmetic appear at the end of this document. Note that there are two different sets of answers for two different books. • If you require any assistance or guidance, please email the Year 6 team at one of the addresses below during normal school hours. We will aim to respond within 24 hours. year 6@stbedesjuniorschool. co. uk maths@stbedesjuniorschool. co. uk • •
Monday Complete the mini maths arithmetic week 17, Monday (Qu 1 -8)
Monday Complete the mini maths arithmetic week 17, Monday (Qu 1 -8)
ARITHMETIC ANSWERS QUESTIONS 1 -8 (Monday)
Let’s recap previous work. Numbers that come after each other are called ‘consecutive’ numbers. So 3, 4, 5 6, 7 are consecutive numbers, as are 102, 103, 104, 105, 106. Can you think of a set of five consecutive numbers? 2, 4, 6, 8, 10, 12 are six consecutive even numbers. Can you give six consecutive odd numbers? Algebra is a part of mathematics that uses letters, shapes or symbols to replace a number. So if I told you that ‘m’ is an unknown number and that m +3 = 5 can you tell me the value of ‘m’ ? If a list of consecutive whole numbers starts with y then the 2 nd consecutive number in this list would be y+1 (1 more than y); then the 3 rd would be y+2 (2 more than y; 2 jumps away from y). Can you continue the sequence to show what the seventh consecutive whole number would be? If the sixth term in a sequence of consecutive numbers is n. What is the first term? ANSWERS on NEXT SLIDE
Let’s recap previous work. ANSWERS from previous slide Numbers that come after each other are called ‘consecutive’ numbers. So 3, 4, 5 6, 7 are consecutive numbers, as are 102, 103, 104, 105, 106. Can you think of a set of five consecutive numbers? Any set of five numbers that are consecutive e. g. 1, 2, 3, 4, 5; 8, 9, 10, 11, 12; 23, 24, 25, 26, 27 2, 4, 6, 8, 10, 12 are six consecutive even numbers. Can you give six consecutive odd numbers? Various answers E. G. 4, 6, 8, 10, 12, 14; 10, 12, 14, 16, 18, 20; 100, 102, 104, 106, 108, 110 Algebra is a part of mathematics that uses letters, shapes or symbols to replace a number. So if I told you that ‘m’ is an unknown number and that m +3 = 5 can you tell me the value of ‘m’ ? 2 (2 +3 = 5) If a list of consecutive whole numbers starts with y then the 2 nd consecutive number in this list would be y+1 (1 more than y); then the 3 rd would be y+2 (2 more than y; 2 jumps away from y). Can you continue the sequence to show what the seventh consecutive whole number would be? y, y+1, y+2, y+3, y+4, y+5, y+6 so the seventh consecutive whole number is ‘y+6’ If the sixth term in a sequence of consecutive numbers is n. What is the first term? n-5, n-4, n-3, n-2, n-1, n
Algebra helps us to describe patterns. In the pattern below we can see that the number of cans increases by 2 each time – try completing the cans for pattern 3, 4, 5 and 7 (not 6!). But if we wanted to find the number of cans needed in the 20 th or 100 th pattern we wouldn’t want to keep counting in 2 s – we’d like a quicker way to find them. We want to find a link from the pattern number to the number of cans (a vertical rule, rather than horizontal). ‘r’ is used to mean ‘any pattern number’. What do we do to the pattern number to get the number of cans? Does it work for each pattern number? So now we know what we need to do to ‘r’ pattern to get the cans. Who knows how we write this expression? ANSWERS on NEXT SLIDE
Algebra helps us to describe patterns. In the pattern below we can see that the number of cans increases by 2 each time – try completing the cans for pattern 3, 4, 5 and 7 (not 6!). But if we wanted to find the number of cans needed in the 20 th or 100 th pattern we wouldn’t want to keep counting in 2 s – we’d like a quicker way to find them. We want to find a link from the pattern number to the number of cans (a vertical rule, rather than horizontal). ‘r’ is used to mean ‘any pattern number’. What do we do to the pattern number to get the number of cans? Does it work for each pattern number? X 2 So now we know what we need to do to ‘r’ pattern to get the cans. r x 2 Who knows how we write this expression? 2 r (we remove the ‘x’ because it causes confusion, as it could look like a letter x which is often used in algebra) – remember if a letter is joined to a number it means to ‘multiply’ (find the product).
Remember: any divisions are shown as a fraction (like they are in our mini maths arithmetic e. g. Y ÷ 4 is written as Y 4
Monday’s Activity – (this is in place of a MNP workbook page) MATCH UP the algebraic expression to the correct description
Monday’s Activity – (this is in place of a MNP workbook page) MATCH UP ANSWERS
Tuesday Complete the mini maths arithmetic week 17, Tuesday (Qu 9 -16)
Tuesday Complete the mini maths arithmetic week 17, Tuesday (Qu 9 -16)
ARITHMETIC ANSWERS QUESTIONS 9 -16 (Tuesday)
MNP ALGEBRA CHAPTER LESSON 6 (Chapter 9) Suggested methods/ideas/answers on the next slide (Let’s Learn)
MNP ALGEBRA CHAPTER LESSON 6 (Chapter 9)
ANSWERS
Wednesday Complete the mini maths arithmetic week 17, Wednesday (Qu 17 -24)
Wednesday Complete the mini maths arithmetic week 17, Wednesday (Qu 17 -24)
ARITHMETIC ANSWERS QUESTIONS 17 -24 (Wednesday)
MNP ALGEBRA CHAPTER LESSON 7 (Chapter 9)
Answers on next page
ANSWERS
Answers on slides 31 -33
Thursday Complete the mini maths arithmetic week 17, Thursday (Qu 25 -32)
Thursday Complete the mini maths arithmetic week 17, Thursday (Qu 25 -32)
ARITHMETIC ANSWERS QUESTIONS 25 -32 (Thursday)
ANSWERS on the next slide
ANSWERS
ANSWERS
Friday (home learning) Complete the mini maths arithmetic Week 17 Friday (Questions 33 -40)
Friday (home learning) Complete the mini maths arithmetic Week 17 Friday (Questions 33 -40)
ARITHMETIC ANSWERS QUESTIONS 33 -40 (Friday)
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