Maths
Chemistry
Biology
English Lang.
History
Organisation
Energy transfers (a2 only)
Cell biology
Biological molecules
Responding to change (a2 only)
Organisms respond to changes in their internal and external environments (a-level only)
Infection and response
Homeostasis and response
Substance exchange
Bioenergetics
Genetic information & variation
Inheritance, variation and evolution
Genetics & ecosystems (a2 only)
Ecology
Cells
Show all topics
The fight for female suffrage
Britain & the wider world: 1745 -1901
The cold war
1l the quest for political stability: germany, 1871-1991
2j america: a nation divided, c1845-1877
Inter-war germany
1f industrialisation and the people: britain, c1783-1885
2m wars and welfare: britain in transition, 1906-1957
World war one
2d religious conflict and the church in england, c1529-c1570
1c the tudors: england, 1485-1603
2n revolution and dictatorship: russia, 1917-1953
Medieval period: 1066 -1509
World war two & the holocaust
Britain: 1509 -1745
Show all topics
🫶🏼
@aaliyahtasmin
·
5 Followers
Follow
Trigonometry and Angle Properties: A Comprehensive Guide for GCSE Students
This guide covers essential concepts in trigonometry and angle properties, including parallel lines, polygons, and the Pythagorean theorem. It provides detailed explanations, examples, and practice problems to help students master these topics for their GCSE exams.
05/09/2023
463
This page introduces the Pythagorean theorem and its practical applications in geometry.
Definition: Pythagorean theorem - In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides (c² = a² + b²).
Key concepts covered:
Example: In a right-angled triangle with sides 3cm and 4cm, the hypotenuse is √(3² + 4²) = 5cm.
The page includes various practice problems and real-world applications, such as calculating distances in navigation.
Highlight: The Pythagorean theorem is a fundamental concept in trigonometry and has numerous practical applications in fields like construction, navigation, and physics.
This comprehensive guide provides students with a solid foundation in trigonometry and angle properties, essential for success in GCSE mathematics. By mastering these concepts and practicing with the provided examples and problems, students will be well-prepared for their exams and future mathematical studies.
This page introduces fundamental angle properties and their applications in parallel lines.
Vocabulary: Corresponding angles, alternate angles, co-interior angles, vertically opposite angles
The page covers the following key concepts:
Example: In a parallelogram, if one angle is 70°, the adjacent angle is 110° (180° - 70°).
The page also introduces the concept of interior angles in polygons:
Highlight: For a hexagon (n = 6), the sum of interior angles is (6-2) × 180° = 720°.
This page delves deeper into the properties of interior and exterior angles in polygons, with a focus on triangles.
Definition: Interior angle - an angle on the inside of a polygon.
Key points covered:
Example: In a triangle with angles 58°, 80°, and x°, we can find x by solving 58° + 80° + x° = 180°.
The page includes practice problems for calculating unknown angles in various polygons.
Highlight: To find an exterior angle of a regular polygon, use the formula: 360° ÷ number of sides.
This page focuses on more complex angle calculations in regular and irregular polygons.
Practice problems include:
Example: For a regular polygon with 16 sides, the size of one interior angle is (16-2) × 180° ÷ 16 = 157.5°.
The page also covers exterior angles in polygons:
Highlight: In a regular polygon, the sum of one interior and one exterior angle is always 180°.
8
265
11/9
Bearing (Maths)
Bearing maths revision note.
148
487
7
Angles
Basic angles for year 7
35
746
11/9
Interior and Exterior angles (regular polygons)
These are GCSE OCR Math. Enjoy :)
31
678
11/9
Angle Facts Revision Sheet
A revision sheet on angle facts for GCSE Maths.
18
507
11/9
Trigonometry Revision Note
This revision notr is about triginimetry and SOH CAH TOA
11
271
10/11
Maths- parallel angles
This is GCSE Maths parallel angels. This also includes some exam style questions and how to answer it.
Average app rating
Pupils love Knowunity
In education app charts in 11 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
Average app rating
Pupils love Knowunity
In education app charts in 11 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
🫶🏼
@aaliyahtasmin
·
5 Followers
Follow
Trigonometry and Angle Properties: A Comprehensive Guide for GCSE Students
This guide covers essential concepts in trigonometry and angle properties, including parallel lines, polygons, and the Pythagorean theorem. It provides detailed explanations, examples, and practice problems to help students master these topics for their GCSE exams.
05/09/2023
463
This page introduces the Pythagorean theorem and its practical applications in geometry.
Definition: Pythagorean theorem - In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides (c² = a² + b²).
Key concepts covered:
Example: In a right-angled triangle with sides 3cm and 4cm, the hypotenuse is √(3² + 4²) = 5cm.
The page includes various practice problems and real-world applications, such as calculating distances in navigation.
Highlight: The Pythagorean theorem is a fundamental concept in trigonometry and has numerous practical applications in fields like construction, navigation, and physics.
This comprehensive guide provides students with a solid foundation in trigonometry and angle properties, essential for success in GCSE mathematics. By mastering these concepts and practicing with the provided examples and problems, students will be well-prepared for their exams and future mathematical studies.
Register
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
This page introduces fundamental angle properties and their applications in parallel lines.
Vocabulary: Corresponding angles, alternate angles, co-interior angles, vertically opposite angles
The page covers the following key concepts:
Example: In a parallelogram, if one angle is 70°, the adjacent angle is 110° (180° - 70°).
The page also introduces the concept of interior angles in polygons:
Highlight: For a hexagon (n = 6), the sum of interior angles is (6-2) × 180° = 720°.
Register
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
This page delves deeper into the properties of interior and exterior angles in polygons, with a focus on triangles.
Definition: Interior angle - an angle on the inside of a polygon.
Key points covered:
Example: In a triangle with angles 58°, 80°, and x°, we can find x by solving 58° + 80° + x° = 180°.
The page includes practice problems for calculating unknown angles in various polygons.
Highlight: To find an exterior angle of a regular polygon, use the formula: 360° ÷ number of sides.
Register
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
This page focuses on more complex angle calculations in regular and irregular polygons.
Practice problems include:
Example: For a regular polygon with 16 sides, the size of one interior angle is (16-2) × 180° ÷ 16 = 157.5°.
The page also covers exterior angles in polygons:
Highlight: In a regular polygon, the sum of one interior and one exterior angle is always 180°.
Register
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Register
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Register
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Maths - Bearing (Maths)
Bearing maths revision note.
8
265
0
Maths - Angles
Basic angles for year 7
148
487
5
Maths - Interior and Exterior angles (regular polygons)
These are GCSE OCR Math. Enjoy :)
35
746
2
Maths - Angle Facts Revision Sheet
A revision sheet on angle facts for GCSE Maths.
31
678
5
Maths - Trigonometry Revision Note
This revision notr is about triginimetry and SOH CAH TOA
18
507
0
Maths - Maths- parallel angles
This is GCSE Maths parallel angels. This also includes some exam style questions and how to answer it.
11
271
0
Average app rating
Pupils love Knowunity
In education app charts in 11 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
