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

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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.

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Lena, iOS user

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

Subjects

Maths

Geometry and measure

2-dimensional shapes

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

Olamide

@olamide_26

878 Followers

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

626

10/11

Maths

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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.

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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.

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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.

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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.

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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.

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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.

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

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

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

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Page 2: 2D Representations of 3D Shapes

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Page 3: Properties of Polygons

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Page 4: Circle Geometry

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Page 5: Surface Area

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Page 6: Volume

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Page 1: Perimeter and Area Fundamentals

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.