Tunnelworks: Introductory Video
Tunnelworks is a series of teaching and learning resources linking mathematics and science to the Thames Tideway Tunnel project, a major new sewer that will help protect the River Thames from increasing pollution. Background to the project is given in this introductory video which explains when and how the sewer system, which still…
Translations
Translate parallel to the y axis – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=f(x)±a. Starting with the graph of y = x2, different values of a are added or subtracted to the graph. The explanation continues to show that the graph is translated parallel to the y axis…
Stretches
Stretch parallel to the y axis – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=af(x). Starting with the graph of y = x2, different values of a are used to show that the graph is stretched from the x axis parallel to the y axis. The next example shows that the translation works with…
Highest Common Factors and Lowest Common Multiples
Highest common factor and lowest common multiple – The first example finds the highest common factor of 6 and 15 by listing all the factors of each number, highlighting all the common factors and indicating the highest common factor. A similar technique is used to find the lowest common multiple of 6 and 15. Highest common…
Factors, Multiples and Primes
Factors – Beginning with the definition of what a factor is this video proceeds to find the factors of 12 with the aid of a factor bug. The factor bug is a visually stimulating method of finding factors and suitable for use with younger students. After finding the factors of 18, the factors of 17 are found. The fact that 17…
Maths and Art
Curves of pursuit – This video demonstrates how to construct curves of pursuit. Beginning by drawing a square, students are taken through the required steps. The video ends by suggesting different shapes as starting points. Sequence designs – Beginning with the sequence of square numbers, a new sequence is generated…
Introduction to Graph Transformations
Introduction to graph transformations – The video begins by suggesting that all graphs in a family are related in some way. There follows a useful explanation of function notation linking the notation to the inputs and outputs of a function machine. The four graph transformations; translate parallel to the y axis, translate…
Fractions: Mixed Numbers
Converting between mixed numbers and improper fractions – The explanation begins by showing the difference between a proper fraction, an improper fraction and a mixed number. Pictorial representations of the fractions are used to aid understanding of how a mixed number and an improper fraction represent the same value. The…
Fractions: Adding and Subtracting
Adding and subtracting fractions with the same denominator – This video begins by showing the common mistake of adding the numerator and adding the denominator and explaining why this cannot be correct. The correct method is used with a pictorial representation to aid understanding. The video continues with a series of simple…
Fractions: The Basics
What are fractions? The basics – This video covers the basics of fractions beginning with the definition of the numerator and the denominator. Simple examples are given to illustrate that fractions are a way of describing proportion. There follows an explanation of how a fraction also represents a division calculation. Equivalent…
Your Days Are Numbered
This video, written and presented by Matt Parker and Timandra Harkness, considers the statistics of death. The only certainty is that everyone will die, but it is not known how or when this will happen. Based upon statistics, the odds of dying in particular ways are calculated and interpreted. The Normal Distribution curve is…
Division
Short division – Six examples of dividing numbers using the short, or what is sometimes called the bus stop method. The examples progress in difficulty with the first two examples not requiring any remainders, the next two examples having remainders within the calculation and the last two examples having remainders in the answer.…
Multiplication
Short multiplication – Four examples of multiplying numbers using the column method. The examples progress in difficulty multiplying two digit numbers by a single digit number, multiplying a three digit numbers by a single digit number and multiplying a decimal by a number with a single digit. Gelosia method of multiplication…
Column Subtraction
Column subtraction of whole numbers – Six examples of subtracting whole numbers using the column method. The examples progress in difficulty subtracting numbers with two, three and four digits. The later examples include the need to ‘borrow one’ from one column to the next. Column subtraction of decimal numbers…
Column Addition
Column addition of whole numbers – Five examples of adding whole numbers using the column method. The examples progress in difficulty adding numbers with two and three digits. The third and fourth examples include the need to ‘carry one’ from one column to the next. Column addition of decimal numbers –…
Triangles
This video, produced by Mathigon, could be used as revision, to begin a lesson about proof or as inspiration for students to make their own videos. Set to a musical backing, the video shows that the sum of the angles in a triangle is 180 degrees. The sequence continues to show that a quadrilateral can be split into two triangles…
Learning Outdoors
This programme from Teachers TV shows how one school uses the school grounds as a valuable resource for learning across the primary curriculum, especially in numeracy. Pip Mann a Year Three teacher at Hook Primary School in Goole passionately believes in the benefits of learning outdoors. Using the outside space within the school…
Data Handling in the Classroom
In this Teachers TV programme, a Year Two teacher overcome her own fear of ICT while improving her teaching of data handling at Key Stage One by using the advice of a fellow teacher. Data handling is often conducted using traditional pen and paper methods in the classroom, but ICT offers an effective and simple way to teach data…
Drama 4 Learning - KS1
This Teachers TV programme shows how one teacher incorporates drama into a mathematics lesson on number at reception and Key Stage One. Terri English at Great Hockham School in Norfolk uses the technique of "Teacher In Role" playing the part of a café owner to make her lesson more engaging for the children, stimulating…
Independent Learning - KS1 Maths
In this Teachers TV programme, two education experts Malcolm Reed and Alison Fletcher analyse a primary mathematics lesson for a mixed ability class, looking at the teacher's techniques for encouraging independent learning. Teacher Pritti Poole encourages the use of mathematical vocabulary as she introduces her lesson on…
Learning Maths with Kyane
This programme from Teachers TV follows the progress of one Year Four child as he learns about 3D shapes. Kyane, a student at Erdington Hall Primary near Birmingham, is regularly absent from school due to asthma. He is often behind with school work and is not socially integrated in his class. Harriet, his teacher, has written…
Problem Solving in Primary Maths - Review
In this programme from Teachers TV, Professor Lindsay Logan and Isabel Murphy review the Teachers TV programme Problem Solving in Primary Maths - the Session with teacher Mark Valentine. Logan was responsible for drawing up the guidelines for problem solving in the mathematics curriculum in Scotland, while Murphy is an education…
Problem Solving in Primary Maths - the Session
In this programme from Teachers TV Mark Valentine, teaching head of Nethermill Primary School near Dumfries, gives a group of four upper Key Stage Two children a challenging problem to solve, looking at the interior and exterior angles of polygons and how they relate to the number of sides. The problem requires the children…
Whiteboard Numeracy: Decimals and Rotational Symmetry
In this programme from Teachers TV, primary mathematics consultant Darren Ellsum presents two lessons showing how ICT can be used to teach abstract concepts in numeracy. In the first lesson, Year Four teacher Paul Greenwood uses the interactive whiteboard to show how to relate fractions to decimals. Children then play an online…
Whiteboard Numeracy: Ratio and Proportion
In this Teachers TV programme primary maths consultant Darren Ellsum introduces the idea of using ICT in numeracy teaching to illustrate abstract topics. In the first of two lessons, advanced skills teacher Liz Walker uses presentation software in edit mode to illustrate ratio to her students in Bexley. Children work in pairs using…
Numeracy and Literacy
This Teachers TV programme focuses on two lessons where teachers use ICT to aid the teaching of mathematics at Key Stage Two and Literacy in a reception class. A primary teacher in Kent develops a lesson using free Interactive Teaching Programmes from the National Strategy in her work on pentagons and diagonals. Working alongside…
"Goodbye SATs... Hello Assessment" - Programme 2
In this Teachers TV programme, mathematics consultant Val Worcester joins Melanie Grant and Vanessa Clarke from Aston Tower, Birmingham as they reflect on the assessment activities used in their Key Stage One classes. The challenge for teachers in Key Stage One assessment is to design activities that will yield evidence about…
"Goodbye SATs... Hello Assessment" - Programme 1
This programme from Teachers TV looks at how teachers assess progress. Year Two teachers, Melanie Grant and Vanessa Clarke are anxious about how they can accurately build up a picture of children's skills at the end of Key Stage One. They work with mathematics consultant, Val Worcester, to design active assessment opportunities.…
Reception 2
In this programme from Teachers TV a panel of early years experts analyse the practice at Berridge Infant School and talk about the balance between child-led and adult initiated play. Sheila Sage, primary adviser with responsibility for early years in Worcestershire, is joined by Ged Cotton, an infant school head teacher from…
Reception 1
This programme from Teachers TV follows teachers Johanna Moore and Kristabel Harwood from Berridge Infant School, a multicultural school in Nottingham. They each choose a target child to focus on over the day, Jade and Shoaib. Throughout the day they create a balance between teacher-led and child-initiated learning in their classes…
Fun with Maths
This programme from Teachers TV shows how teaching assistants at one primary school are supporting mathematics both in and out of the classroom. The teaching assistants at Glenbrook Primary School have developed games and activities to help teach mathematics and engage children who need extra support. Sue's card game reinforces…
KS2 Maths - Geometry: Lesson Review
In this programme from Teachers TV Petula Allen, headteacher and former mathematics adviser helps Gary Clapperton review his lesson on Geometry with Year Six. Petula reflects on how useful the whiteboard is and they look in detail at how it enhanced Gary's explanation of ratio. The way that the shapes can be moved and re-sized…
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