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Mathematics
Motorsport data analysis
Get ready to apply mathematical skills to interpret data, analyse graphs, and uncover the secrets behind the success of motor racing teams.
By the end of this activity, learners will gain a deeper appreciation for mathematics and its real-world applications while also developing your data analysis and graph interpretation abilities.
The printable worksheet contains a GCSE maths lesson plan for secondary school teachers or parents. The presentation includes the relevant graph for this activity and corresponding questions designed for students’ engagement. Allow the students some time to read the task and consider the questions. You can give the students a paper copy of the graph.
Students will need to interpret and read the graph to answer the questions. They must consider what the information displayed in the graph can tell them about the motor race.
For the final task, students must find 107% of 1hr 20min. One approach would be to convert the time to minutes before finding 107%.
Once students have worked out how long the car has left, they will need to use this information to calculate the distance remaining.
Discussion points
Encourage discussion about the answers to the bullet points. Compare the different assumptions they have made and their approaches, particularly with the final task.
Extending the problem
You could ask the students to make a commentary to accompany the graph or examine relevant GCSE questions. Consider using graphs that show more than one vehicle and introduce overtaking and other features.
Potential GCSE content
This activity will cover interpreting graphs and data, speed/distance/time and estimating.
Download the free activity sheet !
All activity sheets and supporting resources are free to download, and all the documents are fully editable so that you can tailor them to your students and your schools’ needs.
The activity sheet includes teacher notes, guidance, helpful web links, and links (where appropriate) to the national curriculum in the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Binary numbers
Use mathematics to explain how devices can be on or off
Through investigating binary numbers and their role in representing electrical devices as on or off, students will see mathematics in action.
Students will get to explore the technology behind the Nintendo Wii and apply this knowledge to design an interactive ‘tag’ game. The activity not only enhances their understanding of communication methods and technologies but also hones their critical thinking and independent investigation skills. This hands-on approach makes maths both tangible and relatable, sparking their interest and demonstrating how integral maths is in everyday life.
This is one of a set of resources developed to support the teaching of the secondary national curriculum, particularly KS3. It has been designed to support the delivery of key topics within mathematics.
As part of the ‘Time for a game’ scheme of work, this activity provides an electronics systems context for students to explore infrared technologies. Other activities include Inputs and outputs of design and Electromagnetic spectrum.
Activity: How use maths to identify households that will be most affected by fuel poverty
In this activity students will investigate the use of binary numbers.
Students will work in teams to represent different numbers through standing (for 1) or sitting (for zero). They will brainstorm applications for binary numbers and delve deeper into selected applications. Each step is designed to maximise engagement and learning, making maths a challenge rather than a chore.
Download our worksheet for a detailed lesson plan for teaching students how to use maths to explain how devices can be on or off
The engineering context
Understanding how binary numbers operate in electronic devices lays the foundation for a future career in engineering. Binary numbers play a fundamental role in the field of engineering, particularly in computer and electrical engineering. They form the basis of all digital systems, including computers, mobile phones, and other electronic devices.
Suggested learning outcomes
By the end of this activity, students will have a solid understanding of binary numbers and their applications in electronic devices. They will appreciate the role of maths in technology, improving their problem-solving and critical thinking skills. This activity also fosters teamwork and encourages independent investigation, equipping students with key skills for their academic journey and beyond.
Download our activity sheets for free!
The activity sheet includes teachers’ notes, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved nations; England, Northern Ireland, Scotland and Wales.
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
Please do share your highlights with us @IETeducation.
Make a Robinson Anemometer
Making a device to measure wind speed
In this science project, students will construct a Robinson Anemometer using common household materials. Once built, students can use it to measure wind speed either inside with domestic items or outside with the natural environment.
This activity can serve as a stand-alone project or as a component of a broader unit on weather or measurement. It is intended for upper Key Stage 2 learners (years 5 and 6).
This resource is part of a collection of free STEM resources created to aid in the teaching of the primary national curriculum, especially in the areas of science and design and technology. The purpose of this activity is to aid in teaching key concepts through the construction of a homemade anemometer.
Parts and components required:
Polystyrene balls, 25 - 40 mm diameter, 1 per anemometer
Wood/bamboo skewers, 3 per anemometer
Putty (such as Blutack or Whitetak) OR modelling clay (such as clay, Plasticine or Playdough).
EITHER 6 paper cups OR 4 paper cups and a plastic water bottle with a sports cap
Sticky tape
Tools and equipment required:
Fans, hair-dryers or other sources of moving air
Stop watches
Commercial anemometer (for extension activity)
The Robinson Anemometer
The Robinson Anemometer is a type of cup anemometer, an instrument used for measuring wind speed. It was invented by John Thomas Romney Robinson in 1846 and is named after him. The Robinson Anemometer consists of four hemispherical cups mounted at the end of horizontal arms, which are attached to a vertical shaft. As the cups rotate due to the force of the wind, the speed of the wind can be calculated based on the rate of rotation. The Robinson Anemometer is still widely used today and is considered one of the most accurate and reliable types of anemometers.
The engineering context
Engineers need to be able to measure the forces that will act on the things they need to design. They need to understand how these measurements are made so that they can be confident that their designs will meet the requirements in practical situations.
Suggested learning outcomes
By the end of this activity students will have an understanding of what is meant by wind, they will be able to construct a simple mechanical device and they will be able to understand that the linear movement of air can be measured by the rotation of an anemometer.
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Wind turbine calculations
Throughout this engaging activity designed for GCSE students, learners will face intriguing challenges that revolve around wind turbines, where their problem-solving skills will be tested using equations and systematic listing techniques.
By applying mathematical principles and systematic approaches, learners will uncover the secrets behind these sustainable energy marvels and gain a deeper appreciation for their significance in today’s world.
It is recommended to utilise a table format for displaying the values learners substitute into the equation, along with the corresponding outcomes, indicating whether they are too large or too small.
Problem Solving
Students will likely employ trial and improvement or a graphical method to tackle the first question. Some may also opt to utilise a spreadsheet for their calculations. To ensure the accuracy of their solutions up to two decimal places, they are encouraged to consider using a number line, which can aid in the verification process.
As for the final problem, students will need to adopt a systematic listing approach or explore other methodologies to ensure that every possible combination of gears has been thoroughly explored and tested.
This activity aims to empower students to approach challenges creatively and thoughtfully by providing various problem-solving techniques and strategies. This process will sharpen their mathematical abilities and cultivate critical thinking skills, enabling them to tackle complex problems with confidence and precision.
Discussion points
Promote active discussion among the students regarding the diverse approaches they have employed and how they can ensure the accuracy of their answers up to two decimal places. If students have not chosen the graphical approach to solve the problem, consider demonstrating it to the class.
Encourage a comparative analysis of the various methods used to address the subsequent problems and enquire about the students’ strategies to ensure they have explored all potential combinations of gears.
Potential GCSE content
This activity will cover using trial and improvement to solve an equation, calculations with fractions, ratios and systematic listing.
Download the free activity sheet!
All activity sheets and supporting resources are free to download, and all the documents are fully editable so that you can tailor them to your students and your schools’ needs.
The activity sheet includes teacher notes, guidance, helpful web links, and links (where appropriate) to the national curriculum in the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Input, process and output
In this activity students will make a simple infrared circuit to develop their understanding of this technology.
Our “Time for a Game” worksheet introduces students to infrared technologies, using the technology behind the Nintendo Wii as a real-life example.
Through building and testing an infrared circuit, students will learn to identify which components are inputs and outputs, a critical skill that deepens their understanding of how electronic systems function and enables them to design more complex circuits in the future.
This is one of a set of resources developed to aid the teaching of the secondary national curriculum, particularly KS3. It has been designed to support the delivery of key topics within science and design and technology (DT). This can be effectively taught within systems and control, or electronic products approaches within design and technology, or through science with an emphasis on energy, electricity and forces.
Activity: Build and test an infrared circuit
Students will work in pairs to construct the circuit outlined in the “Time for a Game” worksheet. After building their circuits, they will test their functionality under different conditions and answer key questions about their design. This hands-on approach will allow students to identify the input and output components of the circuit, understand its performance in various lighting conditions, and consider how these factors would influence the design of a Wii controller.
The engineering context
By building and testing an infrared circuit, students will gain a practical understanding of the engineering process, from conceptualization to testing. Furthermore, this activity will inspire students to consider a career in engineering, as they experience firsthand the creativity, critical thinking, and problem-solving that this field entails.
Suggested learning outcomes
Students will develop a working prototype of an electronic circuit, gaining practical experience in the process. They will learn to identify inputs and outputs in a circuit and test its performance under different conditions. Furthermore, they will have the opportunity to apply their findings to hypothetical design situations, promoting critical thinking and problem-solving skills. This activity will teach students the ability to explain how their research findings could affect their design ideas, enhancing their communication skills and technological literacy.
Download our activity sheet for free!
The activity sheet includes teachers’ notes, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved nations; England, Northern Ireland, Scotland and Wales.
All activity sheets and supporting resources are free to download and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
Please do share your highlights with us @IETeducation.
Is it worth converting to LPG? Fuel efficiency
Use mathematical calculations to decide whether it is worth switching to an alternative fuel
Can data be used to determine whether it is worth converting to LPG?
This activity will encourage students to use their problem-solving skills. Understanding what information is needed and how to use the information is a key part of problem solving.
Download our free fuel consumption worksheet below to take part in this engaging activity. This is a great way for GCSE students to learn about fuel efficiency and develop their problem-solving skills.
Students should to read the problem on the first slide of the presentation. Let them think about what criteria they can use to decide whether it’s worth converting to LPG. They should take into account the annual mileage, price of petrol or LPG at the local station and size of the car in question.
They should consider the amount of money saved by converting vs the cost of the conversion. Some students may want to examine the time it would take to recover the cost of converting the car. They also need to be aware that “a car uses 10% more LPG than petrol when driving the same distance.”
Discussion points
Encourage discussion about which type of car saves most and get them to think about why this is. Remember they all do the same annual mileage! If students don’t consider recovering the cost of conversion, then prompt them at some point.
Extending the problem
It is possible to use the spreadsheet to produce a graph showing how the savings vary with annual mileage. Students could investigate the fluctuations in LPG and petrol prices over time to see if this would influence their decision.
Potential GCSE content covered
In this activity learners will use and apply calculations, use compound measures, calculate the percentage of an amount and consider the application of algebra to spreadsheets.
What is LPG?
LPG is a by-product of crude oil extraction and the refining process. Many people who consider LPG as an alternative to petrol do so because they believe that the combustion of propane results in lower carbon dioxide emissions. In terms of fuel costs, LPG costs a little more than half the price of petrol or diesel, but fuel economy is about 20-25% lower. Therefore, the overall running costs of an LPG car is approximately a third less than a petrol only car – but only once you’ve recovered the cost of the conversion.
All activity sheets, worksheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Counting stars using estimation
Decide on a systematic way to estimate the number of objects in an image
In this engaging STEM activity, designed for secondary school students, learners will take images from the Hubble telescope and use them to estimate the number of stars contained in those images.
Activity: Counting stars using estimation
The first slide in the presentation below introduces students to the context of the challenge and pushes them to think about how mathematics can be used to solve a real-life problem.
The second slide asks the students to estimate the number of stars in the image. A Geogebra file “counting stars” which subdivides the enlarged image into smaller grids for sampling has been supplied.
Students will need to find a systematic way of estimating the number of objects in the enlarged image.
One approach is to subdivide the enlarged image into smaller sections, count some of these and work out the mean. This mean can then be taken as the number of objects per subsection and multiplied by the number of subsections to get an estimate of the number of objects in the enlarged image.
To obtain an estimate for the number of stars in the original image, this figure then needs to be multiplied by the number of enlarged images in the original image.
Students will need to consider when to round off and what degree of accuracy is appropriate.
Discussion points
Comparing the different estimates obtained by the students would be interesting. Looking at the differences in their estimates for the number of objects in the enlarged image first and then observing how this transferred to the differences in the original image.
Extending the problem
This method is used in a wide variety of contexts, from estimating the number of hairs on someone’s head to auditing the number of insects in an enclosure at a zoo.
This activity could be extended by looking at capture/recapture as a method of estimating animal populations.
Potential GCSE content covered
In this activity students will cover mean average, rounding and accuracy and reasoning from calculations.
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Microchip technology
Is it ethical to use microchip implants in pets and people?
Living in a highly technological world, where access to information and entertainment is at our fingertips, the Inform and Entertain Me topic is a gateway to engage and introduce students to the principles and technology that form the basis for communication devices that are used in our everyday lives.
Activity info, teachers’ notes and curriculum links
This engaging activity introduces students to the use of RFID technology. They investigate extensions to the use of such technology in various contexts.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Download the activity sheets for free!
All activity sheets and supporting resources (including film clips!) are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
And please do share your classroom learning highlights with us @IETeducation
Filtering water
Design and build your own water filtration system
Water is crucial to human life, but it can also be a killer.
Drinking or cooking water contaminated with micro-organisms or chemicals is a leading cause of disease and death across the world. Poor facilities for the disposal of sewage and other waste water can quickly lead to the spread of dangerous diseases.
Activity info, teachers’ notes and curriculum links
This activity gets students to investigate different possible ways of filtering dirty water to improve its cleanliness by designing and building their own water filtration systems. The lesson can be extended with a practical session in which students work in small teams to investigate the salinity of different water samples – see the related extension activity ‘Water Treatment Systems’ within the related activities section below.
The engineering context
Drinking or cooking water contaminated with micro-organisms or chemicals is a leading cause of disease and death across the world. Poor facilities for the disposal of sewage and other waste water can quickly lead to the spread of dangerous diseases.
Engineers and scientists work to provide us with safe, clean drinking water, with efficient and clean methods for disposing of our waste water and practical drainage solutions.
Suggested learning outcomes
Students will be able to recall the different types of impurities that can contaminate water. As well as this, they’ll know how to describe how water filtration equipment acts in several different ways to produce potable (drinkable) water.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Download the activity sheets for free!
All activity sheets and supporting resources (including film clips!) are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
And please do share your classroom learning highlights with us @IETeducation
Flowcharts for shapes
Create a flowchart which identifies the properties of different shapes
Flowcharts show the order in which a series of events is to be carried out. They are used for lots of purposes including; programming microcontrollers with instructions, mapping processes and sorting.
Activity info, teachers’ notes and curriculum links
An engaging activity in which students will make a flowchart to sort various shapes and ensure that each shape finishes in a unique place at the end of the flowchart.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Download the free activity sheet!
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
And please do share your classroom learning highlights with us @IETeducation
How does a Sat Nav system work?
Learn about the technology behind satellite navigation systems and discuss the pros and cons of using them
Can your students consider how a GPS system functions and discuss the advantages and disadvantages of using them?
This activity is suitable for KS3 and KS4 and encourages students to undertake research and produce a visual display.
This activity is an engaging investigation into the uses of communication technology in the modern world.
This activity is an individual activity and could be run in an ICT suite to allow students to use the internet for research.
Distribute the Sat Nav handout to students. This handout gives some outline information about satellites and an un-annotated diagram. Students can cut out or copy the un-annotated diagram and add information to this to produce a visual display of how a Sat Nav system works.
There are a series of questions on the Sat Nav handout. Questions 1-4 are designed to get students to undertake research on the topic of satellites and their functionalities and capabilities.
This is a simple activity that will take approximately 30 minutes to complete.
How does a Sat Nav system work?
What we often refer to as ‘Sat Nav’ is properly called the Global Positioning System (GPS). This uses satellites that continually transmit a signal. They are like an accurate orbiting clock. The signal from at least three and up to seven satellites is received and compared by the Sat Nav device. Using some complicated maths, the Sat Nav device can work out not only where it is on the Earth’s surface, but at what altitude it is as well. The position information is compared with a map downloaded and stored by the Sat Nav device. The satellites tell you where you are, and the mapping hardware fills in the pictures of the road around you.
The satellites need to have a clear path through the air to the Sat Nav device – this is normally called a clear line of ‘sight’.
The engineering context
Living in a highly technological world, where access to information and entertainment is at our fingertips, the Inform and Entertain Me topic is a gateway to engage and introduce students to the principles and technology that form the basis for communication devices that are used in our everyday lives.
Download the free How does a Sat Nav system work? activity sheet!
All activity sheets, worksheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Aerodynamics in action
Through this fun and engaging STEM activity, learners will understand how aerodynamic and streamlined shapes are used in our day to day lives and the design, technology, and engineering principles behind them.
This is a free resource aimed at secondary school children. Students will have the opportunity to learn about aerodynamic forces and aerodynamic design and how these design principles enhance speed and efficiency in a product. A brilliant engineering activity for kids.
Students will start to understand the basic principles of aerodynamics by looking at familiar products that have been designed with ‘speed’ in mind and through identifying features common to these products.
Later, they could start to explore the requirements of aerodynamic design through testing simple shapes in a wind tunnel and through water. The activity focuses on students acquiring an understanding of aerodynamics through testing, experimenting, and developing.
This activity is designed to be taught through science and design and technology simultaneously, as a cross-curricular project. However, it can also be tackled independently from each subject.
What do the images have in common? Why have they been designed in that shape? Could they be split into themed groups?
As an extension students could be asked to consider the social/economic and technological benefits (and drawbacks) of each example. This will give some reasoning behind the development of the final design and illustrate how there are many different factors affecting the design.
The engineering context
Aerodynamics refers to the way air moves around things. Anything that moves through the air reacts to aerodynamics. Aerodynamics acts on aeroplanes, rockets, kites and even cars!
Suggested learning outcomes
By the end of this activity students will be able to identify areas where aerodynamics is used in real life and they will be able to describe the social/economic and technological effect of the work.
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
The activity sheet includes teachers’ notes, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Queueing theory
Queuing theory is a mathematical discipline that helps us understand the behaviour of queues and make predictions about their performance. It considers various factors such as arrival rates, service times, and queue lengths to analyse and optimise queuing systems.
By applying queuing theory principles, students will learn how to evaluate different queues and determine which will likely offer a shorter waiting time.
Through this activity, you will develop your analytical and problem-solving skills and gain a deeper understanding of queuing theory concepts. You will also learn how to apply these principles in real-life situations, making you a proficient queue navigator in the future!
Activity
In this activity, students will be presented with two different systems of queues. They should think about the benefits and problems with each system. Encourage the students to think about how they can compare the two systems. What figures could they calculate? What diagrams would help to provide a picture of the advantages and disadvantages of each system?
Give the students time to find/calculate their figures and then ask them to present their case.
This task provides an opportunity to discuss the most appropriate average. The mean time for the first system is affected by longer wait times for a few customers. Would the mode time be a better average, as this is the most frequent experience, or is the median better?
The engineering context
Queuing theory is an area of maths which has many applications.
When you log onto the internet, you join a queue for a server.
Computer engineers and systems designers study queues to help them make systems work more efficiently.
Civil engineers use it for traffic lights, and retailers use queuing theory to reduce wait time.
Potential GCSE content
In this activity, students will learn how to determine the mean and calculate the median from a frequency table, compare two data sets using an average and measure of spread and find the quartiles and the interquartile range (IQR). This exercise will also cover statistical diagrams, reasoning, problem-solving, estimation, and modelling.
Download the free activity sheet!
All activity sheets and supporting resources are free to download, and all the documents are fully editable so that you can tailor them to your students and your schools’ needs.
The activity sheet includes teacher notes, guidance, helpful web links, and links (where appropriate) to the national curriculum in the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Estimate the radius of a circle of light
Use proportional reasoning to estimate the radius of a circle of light produced by shining a torch at various distances from the wall
This is an engaging activity for GCSE students in which learners will estimate the radius of a circle of light produced by shining a torch at various distances from the wall.
In order to estimate the radius, students will need to use proportional reasoning or Pythagoras theorem. Students are encouraged to use GeoGebra to gather data.
Problem Solving
To solve the problem presented on the first slide, students will have to employ proportional reasoning. This can be utilised to reinforce concepts of enlargement, and potentially Pythagoras if the follow-up question is used.
For the second problem, students will need to collect data, consider how to manipulate the control variable (distance) and organise the data to aid in identifying any connections between distance and area. Some students may choose to create a graph and extrapolate to determine the distance, while others may seek out a function.
The related GeoGebra file for this activity can be viewed at the GeoGebra website.
What is GeoGebra?
GeoGebra is a free and open-source dynamic mathematics software that allows users to create and manipulate mathematical figures and interact with them in real-time. It can be used to plot graphs, create 3D models, solve equations, and perform complex mathematical operations. It is widely used in education, particularly in the teaching and learning of STEM subjects.
GeoGebra is available for use on desktops, tablets, and mobile devices.
Potential GCSE content covered
By the end of this activity students will have an understanding of Pythagoras’ Theorem, the area of a circle, and enlargement.
Download the free Estimate the Radius of a Circle of Light activity sheet below!
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
How do animals use sound
How sounds travel as waves of different frequencies and wavelengths
From founding communications, such as the fire beacon, to being able to communicate with space, there is no denying that developments in communication have advanced at a rapid speed. This topic presents students with communications of the past, present and future, helping them to understand the principles that form the basis for these developments.
This engaging STEM activity is aimed at KS3 students and deals with how animals use sounds and how sounds change in natural phenomena. This is so a student can understand how sound waves travel.
The teacher will first distribute a copy of the ‘Animal Sounds’ handout, which can be downloaded below, to each student.
Make sure students understand sound is a longitudinal wave of compressions and rarefactions of the material. Soundwaves follow the laws of wave behaviour, so they are a useful introduction to wave properties.
This activity can be simplified (particularly for less able students) by creating a discussion on why different animals have different hearing ranges and their experience of phenomena such as the Doppler effect.
Use the handout to discuss different sounds and what they might have learned in other lessons (e.g. music) about pitch, frequency, amplitude etc.
As an extension students could produce a display from low to high frequency, showing where the sound ranges used by different animals lie. Students could consider how sounds outside the normal spectrum could be used to develop new products. For example, to make ‘silent’ devices to broadcast sound or data between two points.
This is a quick and simple activity that will take approximately 15 minutes.
The engineering context
Sounds are vibrations travelling through materials. Many animals make sounds, either for communication or for location. Sound travels at different speeds in different materials. Generally, the denser the material, the faster the sound will travel.
Sound is a longitudinal wave of compressions and rarefactions of the material (a rarefaction involves particles in the material being more spread out than usual). Sound waves follow the laws of wave behaviour, so they are a useful introduction to wave properties.
Suggested learning outcomes
By the end of this free resource students will know that sound is produced by objects vibrating and they will understand that sound is a longitudinal wave. They will also know about the range of frequencies that can be heard by humans and other animals and they will understand that sound travels at different speeds in different mediums.
All activity sheets and supporting resources are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
Please share your classroom learning highlights with us @IETeducation
Balancing forces to design a boat
Balancing forces to design a boat
Using knowledge of forces in an engineering design context
The balancing forces to build a boat activity tasks participants to apply scientific and mathematical understanding of forces (resistance, buoyancy and thrust) and Newton’s 3 laws of motion, in an engineering and design context.
Relate speed to the streamlining in boat design and the shape of a boat’s hull. Consider the balanced and unbalanced forces the boat needs to withstand for maximum efficiency. This activity will demonstrate the principles of hydrodynamics, a similar set of principles to aerodynamics but involving water.
This activity is designed to be taught through science and design and technology simultaneously, as a cross-curricular project. However, it can also be tackled independently from each subject.
All activity sheets and supporting resources are free to download and are fully editable, so you can tailor them to your students’ and your schools’ needs.
Tools/resources required
Projector/whiteboard
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland, and Wales.
Please do share your classroom learning highlights with us @IETeducation
Create a tessellation pattern
In this engaging maths activity, students will embark on a journey of discovery and creativity as they explore the mesmerising art of tessellation.
This activity is designed for KS3 students and involves formulating a rule that can be used to create tessellation patterns. It will help students develop an understanding of the tessellation that will be required to design interlocking units.
This lesson plan could be taught in maths or as part of graphics within design and technology.
This activity promises an exciting blend of hands-on exploration, critical thinking, and geometry, fostering a deeper appreciation for the captivating world of tessellations.
What is tessellation?
Tessellation is a geometric concept in mathematics and art that involves covering a surface with repeated, non-overlapping shapes. These shapes, called tiles or polygons, fit together seamlessly, creating a pattern extending infinitely across a surface. Tessellations can be found in various forms in nature, art, and architecture.
The most famous example of a tessellating shape is the regular hexagon, which can fit together perfectly to cover a plane without leaving any gaps or overlaps. Other common tessellating shapes include squares, triangles, and other regular polygons.
The engineering context
The ‘Engineering Process’ scheme of work gives students an in-depth understanding of some engineering materials and how they are being developed in industry. This scheme was inspired by the casting process used to make the D3O smart material into a ‘usable’ form; this links to industrial practices such as quality control, standardisation, and casting manufacture. It is designed to challenge the students by requiring them to apply their knowledge and understanding of engineering materials through a ‘batch’ production experience.
Download the free activity sheet!
All activity sheets and supporting resources are free to download, and all the documents are fully editable so that you can tailor them to your students and your schools’ needs.
The activity sheet includes teacher notes, guidance, helpful web links, and links (where appropriate) to the national curriculum in the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Please share your classroom learning highlights with us @IETeducation
Water supply
Organise water filtration components to create a safe water supply system
Activity info, teachers’ notes and curriculum links
This activity challenges students to work in small teams to design a water supply system for a small town of 5,000 inhabitants. They have to work within a budget, including giving themselves a profit margin. The activity offers strong opportunities for cross-curricular work with Enterprise.
The ‘Catalogue of Components’ handout includes a list of possible parts from which students can include in their design of their filtration system.
Water is crucial to human life, but it can also be a killer.
Drinking or cooking water contaminated with micro-organisms or chemicals is a leading cause of disease and death across the world. Poor facilities for the disposal of sewage and other waste water can quickly lead to the spread of dangerous diseases.
The activity sheet includes teacher notes, guidance, useful web links, and links (where appropriate) to the national curriculum in each of the four devolved UK nations; England, Northern Ireland, Scotland and Wales.
Download the activity sheets for free!
All activity sheets and supporting resources (including film clips!) are free to download, and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
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Daylight hours maths activity
In this fun maths activity, students will look at the way the length of the day changes over the year.
They will use a data sheet to plot a graph, then interpret the data to work out the date of the longest and shortest days of the year in the United Kingdom.
A free activity sheet can be downloaded.
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Test out Galileo’s gravity experiment
Investigating velocity and acceleration down a slope
In this fun STEM activity for kids, learners will discover how to write numbers in hieroglyphics.
This free resource is aimed at primary school children and could be used as a main lesson activity, to teach learners about the works of the ancient Egyptians contributing to learning in design and technology, history, and mathematics or as an alternative method of reinforcing learning in basic numeracy.
Additionally, this could be used to start a discussion on ancient Egypt or to introduce the concept of people using different languages. It could also be used in conjunction with other activities in this theme, ‘Making Papyrus’ and ‘Write like an Egyptian’.
This is one of a set of resources designed to allow learners to use practical methods to support the delivery of key topics within design and technology, history, and mathematics. This resource is based on the use of Hieroglyphics for mathematical activities by the Ancient Egyptians.
Using hieroglyphic symbols, learners will write down three numbers with values between 1,000 and 10,000,000. They will then swap their numbers with a peer. Can they tell each other the correct values of the numbers?
A free presentation for teachers is provided. The presentation includes a slide showing how the ancient Egyptians represented fractions using hieroglyphics, which could be used for extension work. Additionally, learners could write and solve maths problems using hieroglyphics.
This practical and engaging activity will test students’ maths abilities as it challenges children to think about the value of numbers, rather than just processing stated values.
Tools/resources required
A length of channel or guttering
A tape measure
A protractor
A stopwatch
The results table
A pen or pencil
An egg (plastic or boiled or solid)
Weighing scales (for extension activity 2 only)
The engineering context
An understanding of numbers is vital for engineers to solve lots of interesting problems. For example, factories need to know the quantity of materials in order to make their products and farmers need to know how much food to produce.
Suggested learning outcomes
By the end of this exercise students will know what Hieroglyphics are, they will be able to use Hieroglyphics to represent numbers of values up to 10,000,000 and they will be able to carry out basic numeracy functions.
Download the free Galileo’s gravity experiment activity sheets, including teacher notes, presentation and curriculum links along with a bonus wordsearch using words from the activity to enhance learning.