Challenge Question
A ladder is 6m long, its base is 2m from a wall. How high up the wall can the ladder reach?
A ladder is 6m long, its base is 2m from a wall. How high up the wall can the ladder reach?
Learning Targets
Beginning
To to be able to recall that the area of the two smaller squares on a right-angled triangle add together to make the area of the larger square.
Developing
To be able to demonstrate finding the length of any side of a right-angled triangle if you know the other two.
Mastering
To be able to solve real life problems using Pythagoras’ Theorem.
Resources
Starter
We start by introducing the idea of a hypotenuse of a right-angle triangle. We then need to ensure we can identify it in all cases.
Video Introduction
Developing
Starter
We start by introducing the idea of a hypotenuse of a right-angle triangle. We then need to ensure we can identify it in all cases.
Which side is the Hypotenuse (print)
Video Introduction
Beginning
We will now look at the relationship between the areas of the squares on a right-angled triangle.
Introduce the idea of adding and subtracting areas (dependent on whether you are finding the hypotenuse).
Addition and Subtraction Worksheet (Print)
We will now look at the relationship between the areas of the squares on a right-angled triangle.
Introduce the idea of adding and subtracting areas (dependent on whether you are finding the hypotenuse).
Addition and Subtraction Worksheet (Print)
Developing
Introduce students to finding the length of the hypotenuse and then to the shorter sides.
Focus on the layout of the answer.
Focus on the layout of the answer.
Pythagoras - Step by Step (print)
Mastering
Introduce the idea of using Pythagorus in a context. Encourage students to draw diagrams and highlight the triangle within the diagram.
Pythagoras puzzles (from Ten Ticks 7-8, 2, page 8 plus answers)
Introduce the idea of using Pythagorus in a context. Encourage students to draw diagrams and highlight the triangle within the diagram.
Pythagoras puzzles (from Ten Ticks 7-8, 2, page 8 plus answers)
