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Commutativity and fraction problems
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Commutativity and fraction problems. Commutativity and fraction problems. December 6, 2016. December 6, 2016. In this short blog we will look at how, by using the commutative property of multiplication it is possible to solve complex looking fraction multiplication problems. Previously we looked at concrete approaches to conceptualising the process of multiplication of numerators followed by multiplication of denominators and how the process gets to. The opening sentence suggested that we can use this co...
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Multiplying two improper fractions.
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Multiplying two improper fractions. Multiplying two improper fractions. December 10, 2016. December 4, 2016. This Implies we are being asked to identify 1, then find 3/2 of it and finally continue the process to find 3/2 of that result. We can look at what this means in a number of ways. If we change the improper fractions to mixed numbers then there is a link to the distributive property of multiplication over addition that becomes useful. As with all the multiplication of different fractions we have co...
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Teaching, questioning but not telling. Angle at circumference of a semi-circle.
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Teaching, questioning but not telling. Angle at circumference of a semi-circle. Teaching, questioning but not telling. Angle at circumference of a semi-circle. December 17, 2016. December 28, 2016. I wrote an earlier blog on this subject but thought it might be useful to break it down into a series of teacher to student questions and instructions to get a more active learning experience in the classroom. This can be done with geoboards, printed sheets or by using software like. The opening question [1].
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Algebra
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Factorising challenging algebraic expressions. February 10, 2017. February 10, 2017. Last night I had a request on my Twitter account to help someone in South Africa with a factorisation problem that he in turn was trying to help his younger brother with. He followed up by sending a photo of…. Factorisation and expansion [2]. January 30, 2017. January 23, 2017. What comes first expansion or factorisation? January 23, 2017. Teaching, questioning but not telling. Angle at circumference of a semi-circle.
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Uncategorized
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Understanding operations with negative numbers [2]. Subtracting a positive. February 3, 2017. In the last blog we looked at how ‘zero’ is the border that separates negative and positive numbers on a number line and that adding positive values is seen as a journey along the line to the right, the destination being the solution.…. Multiplying two improper fractions. December 10, 2016. December 4, 2016. Fraction multiplication – Making sense of multiplying improper fractions. October 17, 2016. May 9, 2016.
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Mastery at greater depth in Year 6
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Mastery at greater depth in Year 6. Mastery at greater depth in Year 6. January 7, 2017. January 7, 2017. Let me ask you to forgive the indulgence in this blog to publicise my latest book on mastery of mathematics. It is published by Harper Collins (ISBN 9780008207069) “Maths Mastery with Greater Depth – Year 6” and includes a challenge for every objective of the mathematics curriculum, for that year group. A creative use of, and building on, already learned mathematics. Russell Timmins January 2017.
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Fraction multiplication – a concrete approach
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Fraction multiplication – a concrete approach. Fraction multiplication – a concrete approach. October 13, 2016. December 4, 2016. Why is the following statement true? So why does it work? In year 6, currently pupils are expected to understand and solve problems with fractions of this kind. Importantly they need to. Why the procedure works. It can certainly be halved and even quartered, but that is not what the problem is asking us to do. The problem is really asking us to do this. You must be logged in.
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Understanding operations with negative numbers [1]. Introduction.
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Understanding operations with negative numbers [1]. Introduction. Understanding operations with negative numbers [1]. Introduction. December 24, 2016. December 5, 2016. By the end of year 6 pupils are required to be able to solve problems with negative numbers. And even more tricky to label the possible side lengths,. Of the following right-triangle (we could label them but would the dimensions make sense? Which translates not only to left but to. Also, so, very negative we might argue! The diagram could...
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KS3
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Factorisation and expansion [2]. January 30, 2017. January 23, 2017. In the previous blog we considered how the teaching of expansion and factorisation might be better taught simultaneously. Looking at whole numbers only. In this blog we will continue by looking at different specific linear algebraic expressions. The first expression…. What comes first expansion or factorisation? January 23, 2017. Teaching, questioning but not telling. Angle at circumference of a semi-circle. December 17, 2016. In this s...
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KS4
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Factorising challenging algebraic expressions. February 10, 2017. February 10, 2017. Last night I had a request on my Twitter account to help someone in South Africa with a factorisation problem that he in turn was trying to help his younger brother with. He followed up by sending a photo of…. Factorisation and expansion [2]. January 30, 2017. January 23, 2017. What comes first expansion or factorisation? January 23, 2017. Teaching, questioning but not telling. Angle at circumference of a semi-circle.