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Mathematics
Presenting fitness data
Learn how to graphically represent a range of fitness levels
This engineering activity provides students with the opportunity to collect and present data and think about different presentation techniques.
The data collected will be used as evidence to debate whether people should be encouraged to engage in computer-based sports activities.
Do computer “anytime fitness” games really have the same benefits as more traditional fitness activities? Through this activity, students will be able to use their data to start answering this question.
This free resource is aimed at secondary school students. It was designed as a mathematics activity and should be preceded by the ‘Wii Fitness?’ activity.
Activity introduction
In this engaging STEM task students will use the data gathered during an investigation to contextualise frequency curves.
The ‘Can using a Games Console Make You Fitter?’ worksheet used in the corresponding ‘Wii Fitness?’ activity generates cumulative data on pulse rates and levels of fitness. Actual collection of data could easily be carried out a Mathematics teacher – no specialist equipment is required.
These can be prepared in advance based on datasets prepared by the teacher or teachers could use data from different classes, year groups or gender groups to allow a comparison.
Working in groups of 4-6, students should be given this data. Each team should decide how to group this data and then draw a cumulative frequency graph. From this, they should identify the median and quartiles and use this information to draw a box plot.
This activity will take approximately 30 minutes.
What you will need
Projector
Whiteboard
The engineering context
The ‘Who’s the winner’ scheme of work provides students with an opportunity to collect data which they can use as evidence to debate whether people should be encouraged to engage in computer-based sport activities. The investigation highlights how difficult it is to control all variables and therefore carry out a fair test. The students’ evaluation of the investigation will allow them the chance to question the validity of the data, question the size of the Data set used and question the time span data needs to be collected over before it can be used to confirm a claim.
Suggested learning outcomes
By the end of this activity learners will be able to plot cumulative frequency diagrams.
Download the activity sheets for free!
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
Property of rocks
Following this lesson plan, students will be able to identify the bedrock on which their town is built using a geological survey map. They’ll also investigate the properties of different types of rocks and interpret data on rock hardness and drilling capabilities.
The activity also encourages leaners to consider the implications of large-scale tunnelling and boring work on the bedrock of their town. It’s not just about understanding the science behind it, but also about appreciating its impact on their everyday lives.
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). It can also be used to support geography lesson teaching.
Activity: Looking at the link between sewage and the underground tunnel system
In this activity, your students will play the roles of investigators for a local water company. They’ll be asked to examine the feasibility of digging a tunnel underneath their town to alleviate strain on the current sewage system.
The engineering context
In civil engineering, knowledge of geology is essential when designing and constructing infrastructure such as buildings, bridges, tunnels, and roads. The type of soil and bedrock, the presence of groundwater, the risk of earthquakes or landslides - all these factors can greatly influence the feasibility, design, safety, and cost of construction projects.
By investigating the feasibility of constructing a sewage tunnel, students will gain insights into the practical applications of their geography, science and math lessons. They’ll see first hand how engineers use their knowledge of rocks and their properties to make decisions that impact entire communities.
Suggested learning outcomes
The goal of this lesson plan is not only to teach your students about the properties of rocks but also to inspire them to think critically about how these properties affect our world. By the end of this activity, they’ll have a deeper understanding of their town’s geological makeup and the implications of drilling through the bedrock. They’ll also be able to interpret data on rock hardness and drilling capabilities, which are crucial skills in many STEM fields.
Download our activity sheet and related teaching resources
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 (including the film), and all the documents are fully editable, so you can tailor them to your students’ and your schools’ needs.
You can download our classroom lesson plan.
Please do share your highlights with us @IETeducation.
Chinese New Year: A red letter day
Making a beautiful red gift envelope for Chinese New Year.
In this activity students will learn about nets within a graphics project and will have an opportunity to use a net to make a Chinese red envelope.
During the New Year in China, it is traditional to give the gift of a bright, beautiful red envelope to your friends and family. In Chinese the red envelope is known as 紅包, hóngbāo) and the red colour symbolizes good luck and prosperity. Often the envelope contains money. The envelopes are often decorated with good luck symbols like happy children, beautiful clothing and a peach.
Download the activities sheets for free!
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.
Materials you will need:
Red card
Glue sticks or PVA
Scissors
Optional: gold/Silver pens to add decoration
Optional: pre-printed Chinese New Year images.
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
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.
And please do share your poetry highlights with us @IETeducation! #SantaLovesSTEM
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.
Easter diorama box project
A graphics project that makes an Easter box diorama
In this Easter engineering activity for secondary school students’, learners will use net templates to make card parts to allow them to assemble an Easter box diorama.
This is a lesson plan for an engaging Easter box diorama project. This could be used as a main lesson activity, to teach learners how to use nets to make useable objects. It could also be used as one of several activities within a wider scheme of learning focussing on the use of maths to understand the use of nets. Alternatively, it can be used as a part of a wider group of resources that use the Easter theme to build knowledge and skills in Design and Technology.
This graphics project is one of a series of free resources designed to allow learners to use Easter themes to develop their knowledge and skills in Design and Technology and Mathematics. This resources focusses on the making of Easter boxes using folded card. Nets are used for the box and egg designs. Nets are important as they allow 3D objects to be made when folded.
Download the free activity sheet for more detailed instructions and for optional extension work. Also included is a fun bonus wordsearch with words used in the activity to enhance learning.
This exercise will take approximately 50 – 80 minutes.
Tools/resources required
Projector/whiteboard
Scissors
Glue sticks
Card
Rulers
The engineering context
Understanding how nets are used is considered in the making of products and is an important part of the new GCSE courses in Design and Technology and Engineering.
Engineers are required to use mathematics knowledge and skills regularly as part of their everyday job. It is therefore essential that they are able to use nets to allow them to make scale models of buildings and other structures.
Suggested learning outcomes
By the end of this fun graphic design project students will know how nets are used to make Easter boxes. They will also be able to fold and glue parts together to make an Easter diorama box.
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.
Chinese zodiac code breaker
Code breaking using maths calculations.
In this activity learners will carry out math’s calculations to break codes based on the zodiac animals of the Chinese New Year.
Chinese New Year, also called Lunar New Year, is an annual 15-day festival observed in China and Chinese communities around the world. It corresponds to the new moon that occurs between January 21 and February 20. Each year is based on one of twelve animal zodiac signs.
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
Writing instruments (pens, pencils, erasers)
Calculators
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
Create Chinese calligraphy
Learning how to write using traditional Chinese handwriting.
In this activity learners will use the theme of the Chinese and Lunar New Year to learn about and make use of Chinese calligraphy. They will learn about different types of ‘script’, what is meant by a Xuan, and how to write numbers using Chinese Regular script.
There are five major script types used today in China: seal script, clerical script, cursive script, running script and standard script. Regular script means the proper script type of Chinese writing and is used by all Chinese for government documents and printed books.
Download the activity sheets for free!
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
Pencils
Paintbrush
Paint
Pot of water to clean brush
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
Stop it: Design a system to slow a spaceship descent
Develop a parachute-type system to slow a landing spacecraft.
In this activity learners will make use of the theme of the future of flight to develop a parachute type system that will help a spacecraft to land and stop safely. They will be able to make design decisions contributing to the performance of their solution. They will then test their prototype to see how well it works.
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
Solar powered engine
Making a model of an electric aircraft engine and calculating how long this could power an aircraft using solar energy.
Under the future of flight theme, learners will make a model of an electric aircraft engine that uses solar-powered rechargeable batteries and a motor. They will then test their circuit to see if it works and calculate how long it can run for before it needs to be recharged.
This activity could be used as a main lesson activity to teach about assembling models of circuits and the use of renewable energy. It could also be used as part of a wider scheme of learning to support focussed practical skills or about engineering career opportunities within the aviation sector.
You will need
Solar AA battery charger
2 x rechargeable AA batteries
AA batteries connector/holder
Red and black crocodile clips
Slide or toggle switch
Electric solar motor
Atlas (for extension activity determining potential journey destinations)
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
Measuring noise
Measuring the amount of noise produced by different activities.
In this activity learners will measure noise produced by a range of activities using a sound meter to help them understand how noise is measured and that high noise levels can damage our hearing.
This activity could be used as a main lesson activity to teach learners about sound, as part of a scheme of learning covering sound waves and how sound is generated or as part of a wider topic area covering health and safety considerations in the workshop.
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
How high will it go?
Find the height achieved by a flying object using trigonometry.
In this activity learners will work out the height of a released balloon using a clinometer and trigonometry. This is one of a series of resources designed to allow learners to use the theme of the future of flight to develop their knowledge and skills in in Design and Technology, Engineering and Mathematics.
This activity could be used as a main lesson activity to teach learners about the practical application of trigonometry. It could also be used as part of an introduction to the use of trigonometry within engineering.
You will need:
Thin card
Balloons
Balloon pump, if required
Brass split pin paper fasteners
Scissors
Sharp pencils and erasers
Calculators
Tape measure
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
Flying high
Calculating the amount of energy needed to launch a rocket into space.
In this activity learners will make use of the theme of the future of flight to calculate the amount of energy needed to launch a space rocket. They will discuss the meaning of the term escape velocity and then perform calculations based on the Space X and Saturn V rockets.
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.
And please do share your learning highlights and final creations with us on social media @IETeducation
Triangular numbers
This maths activity uses triangular numbers to calculate the number of gifts in the 12 days of Christmas.
In this festive maths activity, students will learn about triangular numbers and how, when a number sequence is added together, they can be drawn to make triangles as dots. They will also add together triangular numbers using a staircase and a formula to calculate any triangular number.
This activity could be used as a main lesson activity to teach learners how to use addition and multiplication to solve practical problems. It could also be used as one of several activities within a wider scheme of learning, focusing on the use of maths to understand ratios and proportion.
Activity: Triangular numbers
This activity is one of a set of resources developed to support the teaching of the primary national curriculum. They are designed to support the delivery of key topics within maths and science. This resource focuses on the calculation of triangular numbers using the staircase method and the formula to calculate any triangular number n.
We can use our maths knowledge to understand better how to solve problems involving addition and multiplication. As we handle money and make food for big parties of people, we learn how to use addition and multiplication in everyday life.
How long will this activity take?
This activity will take approximately 40-60 minutes to complete.
Resources required
Grid paper
Pencils
Erasers
Rulers
Calculators
The engineering context
Engineers need to know how many items are in a sequence. For example, production engineers in ice cream manufacturing need to know the number of double-scoop ice creams possible, given the number of flavours available.
Triangular numbers are also used in a variety of other engineering calculations. For example, they can be used to calculate the number of steps in a staircase, the number of bricks in a wall, and the number of components in a circuit.
Suggested learning outcomes
By the end of this activity, students will know what a triangular number is, they will be able to calculate a triangular number using a staircase, and they will be able to calculate any triangular number (n) using a formula.
Download the free Triangular numbers 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.
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.
Select a Golden Ball recipient maths activity
Use fractions, percentages and averages to decide the best footballer
In this engaging activity students will explore statistics and use them to decide on a ranking of football players. Football players are ranked in different ways and there are a variety of awards that they can be rewarded with. Each year the Ballon D’Or is awarded to the player judged to be the ‘best’. The Golden Ball is given to the best player in the World Cup tournament. In this activity, pupils are presented with data and can use it to decide who they consider to be the best footballer.
The purpose of this activity is to explore statistics and to use them to decide on a ranking of football players. Pupils will compare data and use average scores to find ways of comparing data and making decisions.
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 nations; England, Northern Ireland, Scotland and Wales.
You can download our step-by-step instructions as a classroom lesson plan and PowerPoint presentation
And please do share your learning highlights and final creations with us on social media @IETeducation
IET Faraday® DIY Challenge Day - IHEEM (Institute of Healthcare Engineering and Estate Management)
A set of printable resources and guidance notes giving teachers and technicians the basic ingredients to run their very own Faraday Challenge Day. This cross-curricular activity day brings science, design and technology, engineering and maths together in an engaging way.
The IHEEM challenge is based on the IET Faraday® Challenge of the same name from our 2021/22 season of IET Faraday® Challenge Days.
Students are given an engineering brief (found in the student booklet) to help IHEEM to design a prototype which could be used in a children’s hospital to make a stay in hospital more comfortable and relaxing for young patients and their families, carers and friends. They will need to demonstrate that they have the engineering skills required to engineer and construct a working prototype of their design and pitch their products to the judges.
Designed for six teams of six students (36 students in total) aged 12-13 years (year 8 England, and equivalent), the challenge encourages the development of students’ problem solving, team working and communication skills.
This activity day can be tailored to the needs of your school and your students by adapting the PowerPoint presentation and the editable student booklet.
What’s included?
The complete set of downloadable materials includes:
Teachers’ pack
A list of the practical materials needed, presenters’ notes highlighting key areas and reinforcing key themes throughout the day, some handy hints on how to deliver the day . . . plus printable Faradays currency and student certificates.
Student booklet
Available as an editable MSWord document to allow the booklet to be adapted to meets the needs of your students and your school.
PowerPoint presentation
A step-by-step guide for your students throughout the day, with supporting notes for the delivery of the presentation.
Film clip
Full briefing video introducing the challenge to your students.
All online resources are free to download, and the student booklet and PowerPoint presentation are fully editable, so you can tailor them to your students’ and your schools’ needs.
And please do remember to share your activity highlights with us @IETeducation
Density using Archimedes' principle
Work out the density of materials
This activity for primary kids gives them an opportunity to work out the density of a material using Archimedes’ principle, an ancient Greek mathematician.
Combining maths and science, students will learn how to collect data through experimenting and understand the properties of materials. This activity will test students’ number abilities and teach them historical facts about ancient Greece. Resources are provided for teachers.
And please do share your classroom learning highlights with us @IETeducation
Using Pythagoras Theorem
Use Pythagoras Theorem to measure objects
In this activity for kids, students will be introduced to the concept of the Pythagoras Theorem and what it is used for.
They will use this knowledge to create a string triangle in the proportion of 3:4:5 and use it to measure objects from their base. This activity will test students’ maths abilities and teach them historical facts about ancient Greece. Resources for teachers are available.
And please do share your classroom learning highlights with us @IETeducation
Measure distance
Make a measuring wheel that measures distances
This activity for primary school kids involves making a measuring wheel for accurately measuring in metres and centimetres.
This activity combines maths and history and is inspired by the achievements of ancient Greece. It is thought that the inventor of the odometer may have been Archimedes, between 2200 and 2300 years ago. Resources are provided to support teachers in furthering their students’ maths abilities.
And please do share your classroom learning highlights with us @IETeducation
Ancient Greek mathematics
Learn scale with ancient Greek mathematics
In this engaging activity for kids inspired by the achievements of ancient Greece, students will discover how to create a scale drawing of an object using ancient Greek mathematics.
This activity, which combines maths and history, will introduce students to the concept of scale and teach students facts about how the ancient Greeks have affected modern life. Resources for teachers are provided.
And please do share your classroom learning highlights with us @IETeducation