text: # Pythagoras' Theorem - Shorter Sides
  
  #### What's Included
  
  • Smart Notebooks Presentation
  • Interactive Excel File
  • Activ Inspire Flipchart
  • Lesson Plan
  • Microsoft PowerPoint Presentation
  • Differentiated Worksheet
  • Jigsaw
  
  # Pythagoras' Theorem - Shorter Sides
  
  Students learn how to calculate a shorter side of a right-angled triangle using Pythagoras' Theorem.  As learning progresses they are challenged to apply Pythagoras' Theorem to more complex shapes.
  ##### Differentiated Learning Objectives
  • All students should be able to calculate either of the two short sides in a right-angled triangle using Pythagoras’ Theorem
  • Most students should be able to calculate the perpendicular height of an isosceles triangle when given its hypotenuse and base.
  • Some students should be able to calculate the area of an equilateral and isosceles triangle by calculating either its base or perpendicular height.
  ##### Related Blogs
  
  Introducing Pythagoras' Theorem
  
  ##### Free Downloads and Links
  Video Demonstration Proof of Pythagoras' Theorem
  
  ### Mr Mathematics Blog
  
  #### Teaching Mathematics for a Growth Mindset
  
  Inspiring students to enjoy maths and feel the success that comes with attempting a difficult challenge is why I teach.  The feeling of success is addictive.  The more students experience it the more they want it and the further out of their comfort zone they are willing to go to get more of it.  Teaching […]
  
  #### Equation of Straight Line Graphs
  
  To find the equation of straight line graphs students need to calculate the gradient using two pairs of coordinates and the intercept which is the y value of where it crosses the vertical axis.  Examiner’s reports of past exam questions show students are more able to find the intercept of a straight line than they […]
  
  #### Arithmetic and Geometric Sequences
  
  Students learn how to generate and describe arithmetic and geometric sequences on a  position-to-term basis.  Learning progresses from plotting and reading coordinates in the first quadrant to describing geometric sequences using the nth term. This unit takes place in Term 4 of Year 10 and is followed by the equations of straight line graphs. Arithmetic […]