{"id":16279,"date":"2017-04-03T17:11:35","date_gmt":"2017-04-03T16:11:35","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/?p=16279"},"modified":"2017-04-03T17:11:35","modified_gmt":"2017-04-03T16:11:35","slug":"p7-mental-maths-and-problem-solving","status":"publish","type":"post","link":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/2017\/04\/03\/p7-mental-maths-and-problem-solving\/","title":{"rendered":"P7 Mental Maths and Problem Solving"},"content":{"rendered":"<p>When answering maths questions, especially worded problems, it is important to know how to work through it. Below are some <strong>hints and tips<\/strong> on how to tackle maths questions and worded problems.<\/p>\n<p><strong><u>Problem Solving Strategies<\/u><\/strong><\/p>\n<p><strong>*Remember that not all of these are suitable for every maths question. Choose the best strategy for the problem you are working on.<\/strong><\/p>\n<ul>\n<li><strong>Look for the important words in the question<\/strong>. Write them down or underline them. Decide on what the question is asking you to do .e.g. multiplication? fractions? subtraction?<\/li>\n<li><strong>Look for a pattern<\/strong>. Can you see somehting happening over and over again? Will this help you solve the problem?<\/li>\n<li><strong>Have a go!<\/strong> Try an answer. Does the answer make sense?<\/li>\n<li><strong>Use a table or a chart.<\/strong> Will something like this help?<\/li>\n<li><strong>Use a drawing.<\/strong> Can you draw something about the problem? Will this help you to find the answer?<\/li>\n<li><strong>Work backwards.<\/strong> Can you start at the ned of the question to help work it out? Will your answer work?<\/li>\n<li><strong>Try an easier problem.<\/strong> Can you change the numbers in the question to make it simpler? Will this make finding the answer easier?<\/li>\n<li><strong>Make a model.<\/strong> Can you use paper or blocks to help you find the answer? Can you use people to help you find the answer?<\/li>\n<li><strong>Think logically. <\/strong>Can you tell somehting about the answer straight away? Can you get rid of answers that are not correct?<\/li>\n<\/ul>\n<p><strong><u>Mental Maths Strategies<\/u><\/strong><\/p>\n<p>We have been be practising these strategies in class throughout the year. 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data-large-file=\"https:\/\/blogs.glowscotland.org.uk\/re\/public\/bishopton\/uploads\/sites\/2298\/2017\/04\/mental-12.jpg\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n<p><strong><u>Mathematical Vocabulary &#8211; Word Problem Words<\/u><\/strong><\/p>\n<p><strong>Increased by<\/strong> &#8211; The class had 15 pupils and was <u>increased<\/u> by 10 children. How many children are there in the class now?<\/p>\n<p><strong>more<\/strong> &#8211; \u00a0Julie has 21 Beanie Babies in her collection &#8211; her sister Emma has 10 <u>more<\/u>. How many does Emma have?<\/p>\n<p><strong>combined\/put together<\/strong> &#8211; Jake and Joel <u>combined<\/u> their pocket money of \u00a35.50 each to buy the new Xbox game. How much money did they have <u>together<\/u>?<\/p>\n<p><strong>\u00a0total (smaller numbers)<\/strong> &#8211; There were 8 Roses, 12 Carnations, and 2 Daisies. How many flowers did they have in <u>total<\/u>?<\/p>\n<p><strong>sum<\/strong> &#8211; Alexis earned \u00a310 washing cars and Sarah earned \u00a315. What was the <u>sum<\/u> of their earnings?<\/p>\n<p><strong>added to<\/strong> &#8211; Ellie saved \u00a33.50 last week. <u>Added to<\/u> savings of \u00a32 this week, how much does she now have?<\/p>\n<p><strong>altogether<\/strong> (smaller numbers) &#8211; Jake has 13 sweets and Jarratt has 22! How many sweets do they have <u>altogether?<\/u><\/p>\n<p><strong>in all<\/strong> (smaller numbers) &#8211; Auntie Anne gives Jade 12 carrots from her allotment and her mum brings back a bag of 8 from Asda. How many carrots does she have <u>in all<\/u>?<\/p>\n<p><strong>additional <\/strong>&#8211; Ben has 105 Harry Potter collector cards. If he had ten <u>additional<\/u> baseball cards, how many would he have in all?<\/p>\n<p><strong>decreased by<\/strong> &#8211; The population of 1000 whales <u>decreased<\/u> by 400 in the last year. How many are left?<\/p>\n<p><strong>minus <\/strong>&#8211; She had \u00a310, <u>minus<\/u> the amount she spent on the \u00a33 drink. How much did she have in all?<\/p>\n<p><strong>drops\/dropped<\/strong> &#8211; The temperature was 4\u00b0 and just <u>dropped<\/u> by another 3\u00b0! What is the temperature now?<\/p>\n<p><strong>\u00a0difference between \/difference of <\/strong>&#8211; Gemma\u2019s mum gives her \u00a33.50 pocket money for hovering and polishing through the house. James gets \u00a35 for doing the same thing. What is the <u>difference between<\/u> their pocket money?<\/p>\n<p><strong>\u00a0More than<\/strong> &#8211; Jacob has 16 marbles &#8211; that\u2019s 12 <u>more than<\/u> William. How many marbles does William have?<\/p>\n<p><strong>Less than<\/strong> &#8211; Sarah has 20 sweets and her sister Suzie has 5 <u>less than<\/u> her. How many sweets does Suzie have?<\/p>\n<p><strong>Fewer<\/strong> &#8211; Jenny baked six <u>fewer<\/u> cookies than Elizabeth, who made 12. How many cookies does Jenny have?<\/p>\n<p><strong>How many more<\/strong> &#8211; Kate has 20 Daises and Emily has 31. <u>How many more<\/u> Daises does Emily have than Kate?<\/p>\n<p><strong>\u00a0How much more<\/strong> &#8211; Billy has spent the last year saving \u00a3150 &#8211; he desperately wants a laptop that costs \u00a3300. <u>How much more<\/u> does he need to buy it?<\/p>\n<p><strong>Left<\/strong> &#8211; Mrs. Bee bakes 30 beautiful chocolate-chip muffins for the adults in school. 18 people grab one at break. How many are <u>left<\/u>?<\/p>\n<p><strong>remain\/remains<\/strong> &#8211; There are 15 people on the bus and 3 people get off. How many people <u>remain<\/u> on the bus?<\/p>\n<p><strong>\u00a0Words ending in \u201cer\u201d (higher, longer, faster, heav-ier, larger, shorter, slower, further, etc.)<\/strong> &#8211; Jack can run 100m in 25 seconds but Andrew can do it in 14! How much <u>faster<\/u> is Andrew\u2019s 100m race than Jack\u2019s?<\/p>\n<p><strong>Take away<\/strong> &#8211; Jamie has 12 biscuits. If his mum <u>takes away<\/u> 10, how many does he have?<\/p>\n<p><strong>twice<\/strong> &#8211; Elijah Wood, the actor in \u2018lord of the Rings,\u2019 played a hobbit that was 120cm tall but in real life the actor is <u>twice<\/u> as tall! How tall is he really?<\/p>\n<p><strong>times<\/strong> &#8211; Caroline\u2019s school bag weighs 2g but her brother, Ollie, likes to take lots of books to school &#8211; his bag weighs <u>5 times<\/u> as much! What does his weigh?<\/p>\n<p><strong>multiplied by<\/strong> &#8211; There used to be 100 children in school. The number of pupils has <u>multiplied by three<\/u> in the last few years! How many children are there now?<\/p>\n<p><strong>product of<\/strong> &#8211; What is the <u>product of<\/u> five and four?<\/p>\n<p><strong>\u00a0in all<\/strong> (bigger numbers) &#8211; At the cinema (screen 8) there were 10 rows of seats and 20 chairs in each row. How many seats were there <u>in all?<\/u><\/p>\n<p><strong>total<\/strong> (bigger numbers) &#8211; In the garden there are five rows with five plants in each row. How many plants are there <u>total<\/u>?<\/p>\n<p><strong>each <\/strong>(answer getting bigger!) &#8211; <u>Each <\/u>pair of socks cost \u00a31.00. How much will six pairs cost?<\/p>\n<p><strong>\u00a0<\/strong><strong>doubled, tripled, quadrupled <\/strong><strong>etc.<\/strong> &#8211; There were 3,000 rabbits in the UK. The population (total number of rabbits) <u>tripled<\/u> in two years. How many are there now?<\/p>\n<p><strong>\u00a0<\/strong><strong>each <\/strong>(answer getting smaller!) &#8211; Pens cost \u00a31 <u>each<\/u> &#8211; how many pens can I buy with \u00a36?<\/p>\n<p><strong>\u00a0<\/strong><strong>equal \/ equally &#8211; <\/strong>I bought a dozen (12) eggs from the market this morning and split them <u>equally <\/u>between two boxes. How many eggs went in each box?<\/p>\n<p><strong>\u00a0<\/strong><strong>separate <\/strong>&#8211; Hannah and I make 50 friendship bracelets &#8211; we decide to <u>separate<\/u> them evenly and sell them. How many bracelets do we each have?<\/p>\n<p><strong>\u00a0<\/strong><strong>share <\/strong>&#8211; Bailey brings in 60 sweets for his birthday and decides to <u>share<\/u> them out in class. There are 20 children in his class &#8211; how many sweets do they each receive?<\/p>\n<p><strong>\u00a0<\/strong><strong>split <\/strong>&#8211; On a class trip, there is a class of 24 children and they are <u>split<\/u> into 6 groups. How many children are in each group?<\/p>\n<p><strong>\u00a0<\/strong><strong>group\/groups <\/strong>&#8211; At swimming, the class of 32 children is split evenly into two <u>groups<\/u>. How many pupils are in each group?<\/p>\n<p><strong>fractions <\/strong><strong>(<\/strong><strong>half, quarter, fifth, sixth, tenth etc.<\/strong><strong>)<\/strong> &#8211; Kieran has \u00a320. He spends <u>half<\/u> of this money on cat food &#8211; how much does he have left for other things?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When answering maths questions, especially worded problems, it is important to know how to work through it. Below are some hints and tips on how to tackle maths questions and worded problems. Problem Solving Strategies *Remember that not all of these are suitable for every maths question. Choose the best strategy for the problem you &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/2017\/04\/03\/p7-mental-maths-and-problem-solving\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">P7 Mental Maths and Problem Solving<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":3282,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[156],"class_list":["post-16279","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-maths"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/posts\/16279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/users\/3282"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/comments?post=16279"}],"version-history":[{"count":2,"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/posts\/16279\/revisions"}],"predecessor-version":[{"id":16294,"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/posts\/16279\/revisions\/16294"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/media?parent=16279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/categories?post=16279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/re\/bishopton\/wp-json\/wp\/v2\/tags?post=16279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}