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Year 3/4 Mathematics reasoning investigations, focusing on re-ordering / rearranging
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Year 3/4 Mathematics reasoning investigations, focusing on re-ordering / rearranging

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Mathematical reasoning has been brought into focus with the poor results of the PISA tests. These 5 investigations focus on re-ordering work with emphasis on a given set of options. They are ultimately suited to year 3 but without prior investigation work, I’ve used these successfully in my year 4 class. I would advise using equipment/resources to spark interest in the task. Each investigation has an extension which is a level above the problem for those children who are capable learners already. This assists classroom management, where high achievers can be disengaged when problems seem obvious to them. There is also vocabulary specific to re-ordering work, to assist the teacher in promoting the language and therefore facilitate progress.
Whiteboard practice PowerPoints, addition (money) Big Maths CLIC session
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Whiteboard practice PowerPoints, addition (money) Big Maths CLIC session

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4 PowerPoints to use alongside the Big Maths clic sessions. I also use them as whiteboard sessions at the beginning of Maths lessons. Although I prefer to use column methods to add money, this technique will introduce and consolidate the relationship between pounds and pence. There are 4 pages to each PowerPoint which I have been using in year 4, but are suitable for other ages.
Whiteboard practice PowerPoints, 100 number bonds, Mr 100
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Whiteboard practice PowerPoints, 100 number bonds, Mr 100

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Here is my strategy for teaching 100 number bonds. It is similar to the Big Maths clic session jigsaw addition. There are 4 PowerPoints, getting harder each time. The children love it and find it an easy strategy to follow. I have included my differentiated worksheet too.
Ordering two digit numbers PowerPoints
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Ordering two digit numbers PowerPoints

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4 PowerPoints to use alongside the Big Maths clic sessions. I also use them as whiteboard sessions at the beginning of Maths lessons. They get progressively harder from the first to last. There are 4 pages to each PowerPoint which are suitable for year 1 upwards.
Ordering decimals PowerPoints
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Ordering decimals PowerPoints

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4 PowerPoints to use alongside the Big Maths clic sessions. I also use them as whiteboard sessions at the beginning of Maths lessons. They get progressively harder from the first to last. There are 4 pages to each PowerPoint which are suitable for year 4/5 upwards.
Fractions, decimals and percentages - fun interactive white board games
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Fractions, decimals and percentages - fun interactive white board games

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6 enjoyable snap games focusing on two elements at a time e.g. fractions to decimals, starting with easier matches e.g. ½ and 0.5 and increasing in complexity. The first three games are targeted for level 4 (big maths too) and the last three are level 5 questions. The pupils click on two choices, which are then revealed. If they are incorrect, they need to reset the board. If they are correct, they may continue until they match two incorrect tiles. The game needs instruction initially, as with the limits of PowerPoint, it will not say if the matches are correct or not. They can be used as a fun introduction, plenary or independent games. The games will work on an iPad that has PowerPoint. The game can be sent to the iPad as an email attachment or through Dropbox / Google Drive and opened with PowerPoint. There is one larger version with sound and a smaller version without. Both have the same questions.
Equivalent fractions fun introduction game (1/2 and 1/3)
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Equivalent fractions fun introduction game (1/2 and 1/3)

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My new thing in class is not to introduce work but rather start at the end, with a quiz. Can they remember what they’ve learnt previously? Can they discover the concepts on their own? Let’s guess / infer together? We can get it wrong, but let’s try. (Metacognition) This fractions game isn’t straight forward. The halves are pictured as 3/6, 2/4 etc. so this would be the next step on from simply naming fractions. It’s an introduction to equivalent fractions (1/2 and 1/3). The game is interactive, with the aim of popping all of the bubbles. Press a bubble to choose a question. Press the correct answer on the question slide and you return to the question screen with your bubble popped. Press a wrong answer and it simply shakes. Keep going until you choose the correct one. You can keep a record of the scores when the presentation is active by typing them in yourself on the question screen. It is also possible to name the teams in the same way.
Calendar questions – Fun group work cards, reasoning with time
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Calendar questions – Fun group work cards, reasoning with time

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Develop Mathematical Reasoning with these calendar questions. Learning from each other in group work goes a long way when tackling the range of abilities and knowledge when dealing with facts associated with time. Answers can be recorded as photographs with counters to prove their learning if necessary. Instructions - Arrange the class into 10 or less groups. Each group has a set of calendars. Questions are place in different places in the classroom. Groups are given different starting numbers. Teacher stays close to question 6 as they might require assistance. The task can be timed. First group to complete all correct answers wins(?)
100 number bonds scales ppt and missing numbers worksheets
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100 number bonds scales ppt and missing numbers worksheets

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10 paged Powerpoint to find the missing weight that makes 100g each time. Created to introduce missing digits and mathematical reasoning skills. The connection should be made between the weights and a missing digit sentence e.g. 35 + __ = 100. It also enables you to compare 100 = __ + 35 and the validity of both. I recommend that you use my Mr 100 to find the 100 number bonds, but then I would!
Mastery Weekly interactive Mathematics Powerpoints – Reception, counting, number recognition, double
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Mastery Weekly interactive Mathematics Powerpoints – Reception, counting, number recognition, double

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I created these because I had no resources and they turned out to be amazing! They proved so successful with the children and the two other Reception teachers; I continued to produce them for the rest of the year. Worksheets, matching games etc. are included. The next 5 PowerPoints are for sale here https://www.tes.com/teaching-resource/5-weeks-mastery-interactive-mathematics-powerpoints-and-resources-reception-weeks-2-6-11965274 I use each presentation at least 3 if not 4 times a week prior to Maths session. The children are chosen to come to the whiteboard for most of the PowerPoint pages e.g. to pop the bubbles whilst counting down from 10, which they love (better listening skills on the carpet). The PowerPoints start from scratch. Unfortunately, the difference between the highest achiever and lowest at Reception can be enormous and my philosophy is ‘no one left behind’. They change pace quickly and certain aspects such as the ‘doubling bunny’ rely on repetition and learning ‘the action’ (children physically perform it) so that they can say the answers before tackling the maths later on in the year. Each lesson begins with: Shape discussion (click the shape to make it dance), Counting upwards (from the number of the week), Counting from 10 to zero (clicking on the images so that they disappear one by one). Different concepts are then added each time. I have created these PowerPoints to satisfy: • Maths mastery, • Little Big Maths, • The Welsh foundation phase curriculum (it also satisfies the English eyfs curriculum), • Individual profiles (Reception), • It introduces the part part whole aspect of Singapore Maths and also the bar method, • It also utilises ideas from the White Rose Maths. Week one is free so that you can see how this works in your class. The rest are in half termly packs. Week 1 PowerPoint is arranged as follows: Page 1 : Cover page – shapes to discuss (triangle, square, rectangle and circle) Page 2 : Counting to 10 (1 to 10) Page 3 : Counting down from 10 to 0 (balloon pop) Page 4 : Reading numbers 0 to 5 Page 5 : Writing numbers in the air (1 to 5) Page 6 : Counting coins 1 to 5 Page 7 : Doubling bunny 1 + 1, 2 + 2 Page 8 : Adding basics (how to make 2) Page 9 : Comparing numbers to 4 objects