Pythagoras' Theorem

Learning Goals & Success Criteria

Pythagoras’ theorem

Learning goal

By the end of the lesson I will be able to find the length of the hypotenuse of a right angled triangle using Pythagoras’ theorem

Success criteria

I am able to:

· identify the hypotenuse of a right angled triangle

· state Pythagoras’ theorem for finding=d the hypotenuse

· use a calculator to find square roots correct to a given number of decimal places

· use Pythagoras’ theorem to find the length of the hypotenuse

· solve worded problems using Pythagoras’ Theorem

Finding the length of the shorter sides

Learning goal

By the end of the lesson I will be able to find the length of a shorter side of a right angled triangle using Pythagoras’ theorem

Success criteria

I am able to:

· identify the hypotenuse of a right angled triangle

· state Pythagoras’ theorem for finding a shorter side

· use Pythagoras’ theorem to find the length of a shorter side

· solve worded problems using Pythagoras’ theorem

Applying Pythagoras’ theorem

Learning goal

By the end of the lesson I will be able to solve worded problems using Pythagoras’ theorem

Success criteria

I am able to:

· draw a right-angled triangle to represent the worded situation

· label the sides with lengths or pronumerals

· use Pythagoras’ theorem to solve for the unknown

· solve the problem answering in words

Pythagoras in three dimensions (extension)

Learning goal

By the end of the lesson I will be able to solve three dimensional problems using Pythagoras’ theorem

Success criteria

I am able to:

· identify a right angled triangle within a three dimensional object

· calculate required lengths within a three dimensional object using Pythagoras’ theorem

· solve worded problems involving three dimensions using Pythagoras’ theorem

Victorian Curriculum

• Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (VCMMG318)

Text Exercises