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 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 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…
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 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.
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…
This resource from Virtual Maths reinforces the distinction between equations, expressions and formulae. It is an interactive game with three levels where students use keyboard arrows to manipulate a wheelbarrow in which they catch equations, expressions or formulae as a selection of all three drop down the screen. An explanation…
Produced by the Institute of Physics, this Physics to Go video shows a short demonstration that can be used to engage your students. The teacher notes include the equipment needed, tips and contain a full explanation of the physics involved. This demonstration gets a 2p coin through a hole the size of a 1p coin. It seems impossible…
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 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;…
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…
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,…
This MEI interactive resource for complex numbers demonstrates multiplication and division in the Argand diagram. It is an extension piece of work. Students are able to move two points and, from their new position, use the modulus argument form to multiply and divide complex numbers quickly and easily.
This MEI interactive resource for complex numbers demonstrates the Argand diagram. This flash file can be used to plot a point in the complex plane. In this plane on the horizontal axis are the real numbers and on the vertical axis are the imaginary numbers. The point can be picked up and moved into all four quadrants. Each complex…
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 animation from Subtangent provides the facility for students to convert very large or very small numbers to and from standard form notation. Examples of converting ordinary numbers into standard form notation are given and include negative index terms.
This linear equation calculator from Subtangent allows students to target specific types of equations to solve, ranging from basic questions such as x+5=7 to those which have the unknown on both sides and negative coefficients. Once a type of equation is selected, the calculator generates a specific equation and the student is…
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 activity from Subtangent reviews frequency diagrams and includes examples of histograms, frequency polygons and stem and leaf diagrams. Thorough descriptions of how to create a grouped frequency table and the details of the construction of the axes for histograms are included. The advantage of using frequency polygons…
This animation from Subtangent shows students how to read, draw and interpret pie charts as well as highlighting when not to use them. Students are shown how data, from a frequency table, is converted into a pie chart and clear guidelines for drawing and labelling the charts is given. There is a section which covers interpreting…
Straight line graphs from Subtangent demonstrates how to find points from an equation, plot those points and join them to make a linear graph.
A simple animation from Subtangent presents examples of rotational symmetry in nature and demonstrates how to establish, using a centre of rotation, the order of rotational symmetry. Students are given five shapes and invited to investigate their symmetry.
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 Subtangent test progresses from students identifying quadratic expressions, expanding brackets and factorising expressions to solving quadratic equations. Students are given four possible answers to choose from and there is an opportunity to review their choices before submitting their final answers. An explanation of…
This Subtangent test on Pythagoras' theorem gives students the opportunity to practice all aspects of this topic. Questions begin with simple calculations and progress to problems which are set in context as well as a complex 3-dimensional application. An on screen calculator with root, square and memory keys, is available. Students…
In this Subtangent resource there are 10 questions of increasing difficulty starting with factors and multiples. Square and triangular numbers LCMs and HCFs complete the topics. Students are given four possible answers to choose from and a calculator is available for some of the questions. There is an opportunity for students…
There are 10 questions on function machines in this Subtangent resource. Questions increase in difficulty and offer students the opportunity to identify specific problem areas. The test covers simple inputs and outputs from single and double function machines, as well as requiring students to recognise when it is necessary…
Matching numbers in hexagons is the challenge in this Subtangent activity. Seven hexagons each with six numbers have to be placed on a grid so that the numbers match. The hexagons can be moved and rotated. Placing the central hexagon is the key to solving this puzzle and a hint is available to help to choose the correct one.…
Matching names of shapes to their drawings is the focus of this interactive game from Subtangent. Students need to remember the position of cards which have already been revealed to complete the task as quickly as possible. This game gives an opportunity to reinforce knowledge of the properties of shapes.
Is it possible to use the broken calculator in this Subtangent activity to make a given set of numbers? There are six levels of difficulty in this activity starting with whole numbers, then introducing negative numbers and decimals. The broken keys vary at each level giving the opportunity to use the memory function and power…
© The National STEM Centre. About Us. Contact Us. Terms & Conditions. Cookies. Website Help.
Web design by iWeb