### Tilted squares

In this lesson, we will explore how to find the area of tilted squares using subtraction of triangles.

Skip navigation# Unit Overview: Pythagoras's theorem

## Lessons:

### Tilted squares

### Surds from tilted squares

### Finding the length of a line from tilted squares

### Right-angled triangles and tilted squares

### Generalising: Pythagoras's theorem

### Pythagorean triples

### Pythagoras: Finding right-angled triangles

### Pythagoras's theorem on the Cartesian plane

8 lessons

In this lesson, we will explore how to find the area of tilted squares using subtraction of triangles.

In this lesson, we will explore how to express side lengths of squares in surd form by working backwards from their area.

In this lesson, we will learn how to find the length of a line by using triangles and tilted squares.

In this lesson, we will explore how to find side lengths of triangles which lie on tilted squares.

In this lesson, we will develop an understanding of Pythagoras' theorem by drawing upon our tilted squares knowledge.

In this lesson, we will learn about the term "Pythagorean triples" and how to recognise them.

In this lesson, we will learn how to use Pythagoras's theorem to find the height of triangles with and without right angles.

In this lesson, we will learn how to use Pythagoras's theorem on the Cartesian plane to help you find the distance between two given points.

Units in Maths

- Numbers and numerals
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- Factors and multiples
- Order of operations
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- Expressions, equations and inequalities
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- Angle review (9.5a)
- Constructions, congruence, and loci
- Pythagoras's theorem
- Famous maths problems
- Ratio review (9.7a)
- Similarity and enlargement
- Surds and trigonometry
- Quadratic expressions (9.9)
- Quadratic equations (9.10)
- Indices and standard form
- Growth and decay
- Finance

- Ratio review (9.7a)
- Constructing triangles and quadrilaterals
- Angles
- Shape and patterns
- Angles and shape
- Constructions, congruence, and loci
- Faces, shapes and patterns; lines and turns
- 3D Shape
- Coordinates
- Angles
- Classifying 2-D shapes
- Shape and pattern
- Transformations
- Angles in polygons
- Circles
- Pythagoras's theorem
- 2-D Shape and Symmetry
- Transforming 2-D figures
- Bearings
- Area of 2-D shapes
- Missing angles and lengths
- Coordinates and shape
- Shape and sorting
- 2-D and 3-D shape
- Volume and surface area of prisms