Finding any length of a Right-Angled Triangle

Finding any length of a Right-Angled Triangle
Finding any length of a Right-Angled Triangle
Finding any length of a Right-Angled Triangle

What's Included

  • Smart Notebooks Presentation
  • Interactive Excel File
  • Activ Inspire Flipchart
  • Lesson Plan
  • Microsoft PowerPoint Presentation
  • Differentiated Worksheet

Finding any length of a Right-Angled Triangle

Key stage 3 mathematics for using Pythagoras' Theorem to calculate any length of a right-angled triangle.   Learning progresses from working with Pythagorean Triples to calculating the area of a right-angled isosceles triangle when only the hypotenuse is given.

At the start of the lesson students attempt to find the difference of two hypotenuse lengths in a composite shape.  The plenary challenges students to apply Pythagoras' Theorem to a complex shape made from two triangles.

Differentiated Learning Objectives
  • All students should be able to calculate a smaller side of a Pythagorean Triple
  • Most students should be able to calculate any side of a right-angled triangle using Pythagoras’ Theorem
  • Some students should be able to apply Pythagoras’ Theorem to composite triangular shapes.
Maths lessons to engage and inspire.

Mr Mathematics Blog

How to Draw a Venn Diagram to Calculate Probabilities

There are three common ways to organise data that fall into multiple sets: two-way tables, frequency diagrams and Venn diagrams.  Having blogged about frequency diagrams before I thought I would write about how to draw a Venn Diagram to calculate probabilities. Recapping Two-Way Tables This activity works well to review two-way tables from the previous […]

Calculations with Percentages

Students learn how to find a percentage of an amount using calculator and non-calculator methods.  As learning progresses they use decimal multipliers to find a percentage change and calculate a simple interest in financial mathematics. This topic follows on from Fractions, Decimals and Percentages and takes place in Year 8 Term 5. Calculations with Percentages […]

Proving Geometrical Relationships using Algebra

Back in May 2017 maths teachers around the country eagerly awaited the first exam for the new GCSE Mathematics syllabus.  Proving geometrical relationships using algebra featured at grade 9.  In Paper 1 of Edexcel’s test paper the last question of the higher tier looked like this. Edexcel wrote about student’s performance on this question in […]