Easy Guide: Calculate Trapezium Area & Learn Polygons for Year 7

Open

Olamide

02/08/2023

Maths

Module – Mensuration year 7 MATH

Subjects

Maths

Geometry and measure

2-dimensional shapes

Easy Guide: Calculate Trapezium Area & Learn Polygons for Year 7

A comprehensive guide to geometry and mensuration concepts covering perimeter, area, 3D shapes, and volume calculations for understanding properties of polygons for year 7 students.

Detailed coverage of area calculations for various 2D shapes including rectangles, parallelograms, triangles, kites, and how to calculate area of trapezium with examples
In-depth exploration of 2D representations of 3D shapes in mensuration through nets, plans, and elevations
Comprehensive study of polygon properties, circle geometry, and volume calculations
Clear examples and visual representations for each mathematical concept
Essential formulas and step-by-step problem-solving approaches

02/08/2023

Perimeter and Area
Topic/Skill
1. Perimeter
2. Area
3. Area of a
Rectangle
4. Area of a
Parallelogram
5. Area of a
Triangle
6. Area of a
Kit

Page 2: 2D Representations of 3D Shapes

This page explores how three-dimensional objects can be represented in two dimensions through various techniques.

Vocabulary: A net is a flat pattern that can be folded to create a 3D shape.

Definition: Plans and elevations are 2D views of 3D objects from different perspectives - top $plan$ , front $front elevation$ , and side $side elevation$ .

Example: A cube has 6 faces, 12 edges, and 8 vertices when represented in 3D.

View

Page 3: Properties of Polygons

This page details the characteristics and properties of various polygons.

Definition: A square has four equal sides, four right angles, and four lines of symmetry.

Highlight: Each polygon type has unique properties regarding side lengths, angles, parallel sides, and symmetry.

Example: A rhombus has four equal sides and diagonally opposite angles are equal, with two lines of symmetry.

View

Page 4: Circle Geometry

This page covers circle-related concepts and calculations.

Vocabulary: Pi $π$ is the ratio of a circle's circumference to its diameter, approximately equal to 3.14.

Definition: A circle is the locus of points equidistant from a central point.

Example: For a circle with radius 5cm, the area would be π×5² = 78.5cm².

View

Page 5: Surface Area

This page focuses on surface area calculations for three-dimensional shapes.

Example: The total surface area of a cylinder can be calculated using the formula 2πr² + πdh.

View

Page 6: Volume

This page explains volume calculations for various 3D shapes.

Definition: Volume is the measure of space inside a solid shape, measured in cubic units.

Highlight: The volume of any prism can be calculated by multiplying the area of the cross-section by the length.

Example: For a cuboid with length 6cm, width 5cm, and height 3cm, the volume is 90cm³.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

21 M

Pupils love Knowunity

#1

In education app charts in 17 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Geometry and measure

2-dimensional shapes

Maths

•

630

•

2 Aug 2023

•

6 pages

Easy Guide: Calculate Trapezium Area & Learn Polygons for Year 7

Olamide

@olamide_26

A comprehensive guide to geometry and mensuration concepts covering perimeter, area, 3D shapes, and volume calculations for understanding properties of polygons for year 7 students.

Detailed coverage of area calculations for various 2D shapes including rectangles, parallelograms, triangles, kites,... Show more

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 2: 2D Representations of 3D Shapes

This page explores how three-dimensional objects can be represented in two dimensions through various techniques.

Vocabulary: A net is a flat pattern that can be folded to create a 3D shape.

Definition: Plans and elevations are 2D views of 3D objects from different perspectives - top $plan$ , front $front elevation$ , and side $side elevation$ .

Example: A cube has 6 faces, 12 edges, and 8 vertices when represented in 3D.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Properties of Polygons

This page details the characteristics and properties of various polygons.

Definition: A square has four equal sides, four right angles, and four lines of symmetry.

Highlight: Each polygon type has unique properties regarding side lengths, angles, parallel sides, and symmetry.

Example: A rhombus has four equal sides and diagonally opposite angles are equal, with two lines of symmetry.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 4: Circle Geometry

This page covers circle-related concepts and calculations.

Vocabulary: Pi $π$ is the ratio of a circle's circumference to its diameter, approximately equal to 3.14.

Definition: A circle is the locus of points equidistant from a central point.

Example: For a circle with radius 5cm, the area would be π×5² = 78.5cm².

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 5: Surface Area

This page focuses on surface area calculations for three-dimensional shapes.

Example: The total surface area of a cylinder can be calculated using the formula 2πr² + πdh.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 6: Volume

This page explains volume calculations for various 3D shapes.

Definition: Volume is the measure of space inside a solid shape, measured in cubic units.

Highlight: The volume of any prism can be calculated by multiplying the area of the cross-section by the length.

Example: For a cuboid with length 6cm, width 5cm, and height 3cm, the volume is 90cm³.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Perimeter and Area Fundamentals

This page introduces fundamental concepts of perimeter and area calculations for various geometric shapes.

Definition: Perimeter is the total distance around the outside of a shape, measured in linear units like mm, cm, or m.

Definition: Area represents the amount of space inside a shape, measured in square units like mm², cm², or m².

Example: For a rectangle with length 8cm and width 5cm, the perimeter would be 26cm $8+5+8+5$ and the area would be 40cm² $8×5$ .

Highlight: The area of a trapezium is calculated using the formula $a+b$ ×h÷2, where a and b are the parallel sides and h is the height.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Basil

Android user

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Rohan U

Android user

Xander S

iOS user

Elisha

iOS user

Paul T

iOS user

Easy Guide: Calculate Trapezium Area & Learn Polygons for Year 7

Page 2: 2D Representations of 3D Shapes

Page 3: Properties of Polygons

Page 4: Circle Geometry

Page 5: Surface Area

Page 6: Volume

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

21 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Easy Guide: Calculate Trapezium Area & Learn Polygons for Year 7

Sign up to see the contentIt's free!

Page 2: 2D Representations of 3D Shapes

Sign up to see the contentIt's free!

Page 3: Properties of Polygons

Sign up to see the contentIt's free!

Page 4: Circle Geometry

Sign up to see the contentIt's free!

Page 5: Surface Area

Sign up to see the contentIt's free!

Page 6: Volume

Sign up to see the contentIt's free!

Page 1: Perimeter and Area Fundamentals

Similar content

Mathematics Mock Set 6 Higher Edexcel

GCSE Maths - Practice Higher Tier Calculator Paper (Answered + Marked)

maths past paper 1 answer

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

4.8/5