Pythagoras Theorem for Beginners
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Pythagoras Theorem for Beginners

Learn from a national award-winning Mathematics teacher with over 20 years teaching experience
0.0 (0 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
5 students enrolled
Created by Patrick Morrow
Last updated 4/2017
English
Curiosity Sale
Current price: $10 Original price: $40 Discount: 75% off
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Includes:
  • 1 hour on-demand video
  • 5 Articles
  • 31 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Use Pythagoras' Theorem in context to calculate missing lengths in right-angled triangles.
  • Find square numbers
  • Find square roots of numbers using a calculator
  • Identify and name sides in a triangle.
View Curriculum
Requirements
  • You should have a baseline understanding of mathematical concepts and number facts.
  • Access to a calculator would be useful although you could use an online calculator.
Description

In this course you will learn how to solve questions involving the use of Pythagoras' Theorem.

You will learn how to square numbers and find square roots and then delve into using Pythagoras' Theorem on simple questions before extending your understanding and skills by completing more complex contextual questions.

Each step of the course is fully explained by your teacher, Patrick Morrow. His years of experience in a Mathematics classroom teaching 1000s of students of all ages will help you easily identify common errors and aid you in perfecting your ability to answer multiple styles of questions.

The course contains multiple quiz sections and example questions and downloadable resources (great for students and teachers alike). Every resource contains answers. This is a fantastic way to improve your understanding. Of course, Patrick is available via the Q&A section to help you with any questions you may find challenging.

There are multiple exam style questions, each with a full video solution. Key points in each solution are animated to help you better understand the solution.

Enrol now and start to develop your own mathematics skills.


 

Who is the target audience?
  • High school students wishing to learn how to use Pythagoras' Theorem.
  • Parents wishing to support their children.
  • Teachers wanting access to learning resources.
  • Anyone wanting to develop their mathematical skills and understanding
Students Who Viewed This Course Also Viewed
Curriculum For This Course
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Introduction
2 Lectures 04:12

This video covers the learning intentions and an overview of the benefits of this course.

Preview 01:53

In this lesson we look at a very simple proof of Pythagoras' Theorem.

There are many proofs available but most involve fairly complex algebra.

Preview 02:19
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Right-angled Triangles
1 Lecture 02:49

In this lesson you will learn how to identify and name the sides of a right-angled triangle.

This is an important step in being able to fully solve questions relating to the use of Pythagoras' Theorem.

Identifying sides in a right-angled triangle
02:49

This quiz will test your ability to correctly identify sides in a right-angled triangle 

Identification of sides in a right-angled triangle
5 questions
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Square Numbers and Square Roots
2 Lectures 04:52

In this lesson you will learn how to square a number.

Pythagoras' Theorem is based on the use of square numbers so being able to confidently square a number is a valuable skill.

We will also look at using a calculator to find the square of a number.

Preview 03:00

In this lesson you will learn how to find the square root of a number.

You will learn how to use the square root button on a calculator.

How to find the square root of a number
01:52

This quiz will test your ability to find the square of a number and the square root of a number.

Squares and Square Roots
5 questions
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Using Pythagoras' Theorem
2 Lectures 06:27

In this lesson you will learn how to calculate the hypotenuse in a right-angled triangle.

How to calculate the hypotenuse
03:01

In this lesson you will learn how to calculate any side adjacent to the right angle.

How to calculate sides adjacent to the hypotenuse
03:26
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Simple Questions with Diagrams
10 Lectures 14:33

In this question we need to use Pythagoras' Theorem to find the diagonal length of a rectangle.

Question 1
01:52

In this question we need to find the height of an isosceles triangle using Pythagoras' Theorem.

Question 2
02:02

In this question you will need to find the missing length in a right-angled triangle.

Question 3
02:35

In this question there are two right-angled triangles. We need to first find the length of the hypotenuse of one triangle and then use that result to find the length of the other hypotenuse.

Question 4
01:54

In this question there are two right-angled triangles. We need to first find the length of the hypotenuse of one triangle and then use that result to find the length of the other hypotenuse.

This question is very similar to the previous one BUT it is best to use the most accurate possible length for the hypotenuse of the first triangle.  In this case this will be a square root of a number.

This process may have to be repeated multiple times in more challenging exam style questions.

Watch the video to see what I mean.

Question 5
02:42

In this question you need to use Pythagoras' Theorem in multiple triangles to find the missing length.

Question 6
03:00

This lesson contains a downloadable resource which you can print out and practise your skills.

Answers are provided at the bottom of the resource.

Exercise 1: Printable Resource
00:06

This lesson contains a downloadable resource which you can print out and practise your skills.

Answers are provided at the bottom of the resource.

Exercise 2: Printable Resource
00:06

This lesson contains a downloadable resource which you can print out and practise your skills.

Answers are provided at the bottom of the resource.

Exercise 3: Printable Resource
00:06

This lesson contains a downloadable resource which you can print out and practise your skills.

The questions involve the use of decimal lengths.

Make sure you know how to correctly use your calculator.

Answers are provided at the bottom of the resource.

Exercise 4: Printable Resource
00:10
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Extension Questions
7 Lectures 16:24

In this question you will need to find the distance a plane is from its starting airport.  This is a typical exam style question where you are required to interpret the question and draw a quick sketch.

Question 1
02:43

In this question you will need to find the length of a zip wire.  This is a typical exam style question where you are required to interpret the question and draw a quick sketch.

The use of the terms horizontal and vertical are a giveaway when it comes to using Pythagoras' Theorem. It is an indicator that you have a right angle and can therefore (usually) use the theorem.

Question 2
03:00

A slightly more challenging question involving having to find how far Kevin swims.

This question requires a little more thought in order to interpret it.  A diagram will help.

Preview 03:47

This question involves a right-angled isosceles triangle and only one numerical length given.

The question is also available as a downloadable PDF document.

Question 4
02:00

This is a typical exam question involving a ladder and how far it will reach up a vertical wall.

Question 5
02:23

Another Pythagoras' Theorem exam style question without a diagram.  

Fred is fishing from the end of a pier.  

The pier is 4.2 metres above sea level.

Suddenly, Fred spots a swimmer in difficulty.  

The swimmer is 10.8 metres from the pier.  

Fred throws a rope to the swimmer.  

How long must the rope be in order to reach the swimmer?

In this question you will need to find the hypotenuse.

Question 6
02:27

A downloadable and printable PDF document is attached to this lesson.

There are 10 exam style questions.

Exercise 1 Extension: Printable Resource
00:04
About the Instructor
Patrick Morrow
4.5 Average rating
98 Reviews
2,645 Students
2 Courses
National Award-Winning Teacher & Premium Udemy Instructor

Patrick is a very experienced teacher who is consistently recognised for helping students achieve their true potential. This quality has been recognised by the National Teaching Awards with Patrick awarded Outstanding Teacher of the Year. Other establishments including Her Majesty's Inspectorate in the UK use his models as examples of best practice. Patrick is a Google Certified Educator and was invited by Apple to participate in the Apple Distinguished Leaders Program 2016.

Patrick has been featured on television and in the Financial Times, ISP World, and Computer Weekly.

He has taught students at all levels, has been guest speaker at multiple conferences and has been invited by a top university to 'lecture anytime'.

"Patrick is not only a quality teacher, he is a mover and motivator of minds."

"A genius of his profession."

"Of course this guy's popular, he's the definition of a perfect teacher in a myriad of so many imperfect ones."