Tilted squares
In this lesson, we will explore how to find the area of tilted squares using subtraction of triangles.
Unit Overview: Pythagoras's theorem
Lessons:
8 lessons
Surds from tilted squares
In this lesson, we will explore how to express side lengths of squares in surd form by working backwards from their area.
Finding the length of a line from tilted squares
In this lesson, we will learn how to find the length of a line by using triangles and tilted squares.
Right-angled triangles and tilted squares
In this lesson, we will explore how to find side lengths of triangles which lie on tilted squares.
Generalising: Pythagoras's theorem
In this lesson, we will develop an understanding of Pythagoras' theorem by drawing upon our tilted squares knowledge.
Pythagorean triples
In this lesson, we will learn about the term "Pythagorean triples" and how to recognise them.
Pythagoras: Finding right-angled triangles
In this lesson, we will learn how to use Pythagoras's theorem to find the height of triangles with and without right angles.
Pythagoras's theorem on the Cartesian plane
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
- Axioms and arrays
- Factors and multiples
- Order of operations
- Positive and negative numbers
- Expressions, equations and inequalities
- Angles
- Classifying 2-D shapes
- Constructing triangles and quadrilaterals
- Coordinates
- Area of 2-D shapes
- Transforming 2-D figures
- Prime factor decomposition
- Conceptualising and comparing fractions
- Manipulating and calculating with fractions
- Ratio
- Percentages
- Different number systems
- Sequences
- Forming and solving equations
- Forming and solving inequalities
- Linear graphs
- Accuracy and estimation
- Algebra and problem solving
- Ratio (8.6a)
- Ratio, real life graphs, and rates of change
- Direct and indirect proportion
- Univariate data
- Bivariate data
- Famous maths problems
- Angles and parallel lines
- Angles in polygons
- Bearings
- Volume and surface area of prisms
- Area review
- Circles
- FDP review (9.1a)
- Probability
- Sets and Venn Diagrams
- Solving linear simultaneous equations algebraically
- Solving linear simultaneous equations graphically
- 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