Interactive Teaching Programs (ITPs) are an ICT-based tool developed by the National Strategies to support the teaching of key concepts in mathematics. Where available, manuals which describe how the ITP works and could be used are posted as separate files. This section includes: *Number spinners generates random numbers using…
Interactive Teaching Programs (ITPs) are an ICT-based tool developed by the National Strategies to support the teaching of key concepts in mathematics. Where available, manuals which describe how the ITP works and could be used are posted as separate files. *Ruler displays an on-screen ruler which can be used to measure lines…
In this Nuffield Foundation resource students begin by reviewing their understanding of the carbon cycle. They investigate the link between human activity and increasing levels of carbon dioxide in the atmosphere and speculate on whether this is causing global warming. They compare the carbon footprints of different activities and…
This practical activity from Virtual Maths provides the net of a semicylinder, which is used to construct a 3-D model and calculate the surface area of the shape. Students are prompted to measure dimensions and find the area of the semicircles and rectangles. Their results are put into a structured table to enable them to find the…
This Subtangent investigation is based on the probability of balls, which are dropped through a triangular array of pins (a quincunx), into slots beneath. Every time a ball hits a nail it has a probability of fifty percent to fall to the left of the nail and a probability of fifty percent to fall to the right of the nail. As…
In this Nuffield interactive activity students are asked to explore, analyse and describe the patterns generated by moving counters between two stacks according to a fixed rule, always doubling the size of the smaller stack. The key processes developed by this activity include: • Representing - identifying which variables…
This probability simulator from Subtangent allows experiments with coins and dice to be performed quickly. Students can choose from seven options, including whether to use one coin or two, one or two dice or a combination of both. The simulation displays the results of the experiments but does not summarise them which means…
This animation from Subtangent offers a visual representation of median heights. Students have to order a set of cartoon people according to their height and then use the baseline button, which allows the selection to be checked and the heights read accurately from the vertical axis. Three arrow heads can then be added to the…
This Virtual Maths resource demonstrates a practical application of the formula for finding the volume of a cylinder. A cabinet has to be built to hold drums of oil and the presentation shows how to convert units, before using them to find the radius of a cylinder and thus the diameter. Students then calculate the necessary dimensions…
This Subtangent activity uses information from the Hubble space telescope to emphasise the need for accurate measurements and the costs involved when things go wrong. There are demonstrations of measuring lengths and angles before asking the students to try for themselves. An interactive ruler and protractor are provided in…
This NRICH maths activity is intended for students who are already familiar with sample space diagrams. The interactive file offers an ideal context in which to consider the messy randomness of experimental results and the certainty of the long run results. Working backwards from the graphs should help students notice more features…
This activity from Subtangent generates an endless sequence of trigonometry problems in right angled triangles. Students can choose to focus on finding a missing side, angle or allow a random selection of questions. The answers are given and, to support learning, include any necessary working out. An on-screen scientific calculator…
This Virtual Maths resource demonstrates a practical application of the formula for finding the volume of a cylinder. Voids created by auger piling, created when constructing a piled wall, are filled with concrete and the engineer on site has to calculate the volume of concrete required. Also available is a tool which shows a…
This resource from Virtual Maths looks at the transposition of formulae by demonstrating the relationship between three terms. Each term can be selected as the subject of a formula and there is an option to substitute numbers for letters, which will allow students to link arithmetic skills to algebraic manipulation. There is also…
These resources from Virtual Maths include a presentation and video which explain the technique used to find the bulk density of a brick, using the water displacement method. Because a brick is quite a complicated shape, in so much as it is not even and has a rough surface, to calculate its volume accurately it is weighed in air…
This resource from the Royal Statistical Society Centre for Statistical Education (RSSCSE) consists of the level 1 units. For each unit there are comprehensive notes giving an overview of the unit, the aims and objectives for that unit, and prior learning or prerequisites and the equipment required. Being Fair To Ernie Starting…
In this resource from the DfE Standards Unit, students confront and overcome common misconceptions about probability, count equally likely outcomes using diagrams, discuss relationships between theoretical probabilities, observed outcomes and sample sizes and calculate probabilities of dependent and independent events. Students will…
In this resource from the DfE Standards Unit, students will learn to understand and interpret bar charts, pie charts, and box and whisker plots. This session is in two linked parts. The first is matching pie charts to bar charts and secondly matching box and whisker plots to bar charts. Each part of the session starts with a whole…
In this resource from the DfE Standards Unit, students interpret 2D representations of 3D shapes, analyse 3D shapes using plans, elevations, and isometric drawings and develop their reasoning ability in spatial contexts. Many students may have met these ideas before, but they may still experience difficulties in this area. In this…
In this DfE Standards Unit resource, students learn to understand the terms: mean, median, mode, range and explore the relationships between these measures and their relationship to the shape of a distribution. Students will have met the terms mean, median, mode and range but they may not have a clear understanding of their meaning…
A new interactive game from the Association for Science Education (ASE) tackling the interpretation of distance/time graphs in the context of a football match. Graph Shots is an interactive game that develops students' understanding of distance/time graphs. Students compare graphs with written accounts and video footage of a…
This resource from the Royal Statistical Society Centre for Statistical Education (RSSCSE) consists of the level 2 units. For each unit below there are comprehensive teachers' notes giving an overview of the unit, the aims and objectives for that unit, and prior learning or prerequisites and the equipment required. Seeing…
This resource from the Royal Statistical Society Centre for Statistical Education (RSSCSE) consists of the level 4 units. For each unit below there are comprehensive teacher's notes giving an overview of the unit, the aims and objectives for that unit, and prior learning or prerequisites and the equipment required. Choice…
This resource from the Royal Statistical Society Centre for Statistical Education (RSSCSE) consists of the level 3 units. For each unit below there are comprehensive teacher's notes giving an overview of the unit, the aims and objectives for that unit, prior learning or prerequisites and the equipment required. Car Careers…
In this resource from the DfE Standards Unit, students analyse simple number 'tricks', and explain how they work, using algebra. They then try to create their own variants of the trick, making it more impressive. Students will: develop an understanding of linear expressions and equations; make simple conjectures and generalisations;…
This resource from Virtual Maths illustrates the basic principle of bending moments and shear force. These are the effect that altering a load, both at a point and uniformly distributed on a beam, has on the beam and the reaction forces.
In this DfE Standards Unit resource, students interpret linear and non-linear distance-time graphs using the computer programme Traffic. This program provides a simple yet powerful way of helping learners to visualise distance–time graphs from first principles. The program generates situations involving traffic moving up and…
Interactive Teaching Programs (ITPs) are an ICT-based tool developed by the National Strategies to support the teaching of key concepts in mathematics. Where available, manuals which describe how the ITP works and could be used are posted as separate files. The ITPs here are: *Moving digits allows students to demonstrate the…
This resource from SMILE contains eight interactive spreadsheets as described below: Rolling one dice: simulates the rolling of one dice and then records the number in the frequency table and simultaneously in the bar graph The difference when rolling two dice: simulates the rolling of two dice and then recording the difference…
In this Nuffield resource rooms in a rectangular maze of rooms have bags with a varying number of gold coins. Students explore the effect of the route on the number of gold coins that can be collected. The key processes involved in the activities are: • Representing - identifying the mathematics involved in the task and…
In this Nuffield activity students investigate how different numbers of squares can be joined corner to corner and the effect their arrangement has on the area of the rectangle that encloses the squares. The key processes developed in this activity are: • Representing - determining which aspects to investigate and record,…
Interactive Teaching Programs (ITPs) are an ICT-based tool developed by the National Strategies to support the teaching of key concepts in mathematics. Where available, manuals which describe how the ITP works and could be used are posted as separate files. This section includes ITPs that cover: *Division grid models long division…
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