Looking at proportional relationships
In this lesson, we will look at proportional relationships, in particular the unitary method whereby we calculate proportion as a ratio of 1:n.
Unit Overview: Direct and indirect proportion
Lessons:
12 lessons
Looking at proportional relationships
In this lesson, we will look at proportional relationships in familiar real world worded problem contexts.
Direct proportion (Part 1)
In this lesson, we will explore real life scenarios involving direct proportion and model solutions.
Direct proportion (Part 2)
In this lesson, we will learn how to recognise when two quantities are directly proportional to each other.
Direct proportion (Part 3)
In this lesson, we will solve worded problems involving direct proportion and model solutions using tables.
Graphs of proportional relationships
In this lesson, we will recognise and interpret the graphical representation of a proportional relationships.
The constant of proportionality
In this lesson, we will learn about the the term 'constant of proportionality' and how it relates to how proportion works.
Proportion in context
In this lesson, we will investigate word proportion problems involving exchange rates, and cost scaling. We will then model their solutions.
Inverse proportion
In this lesson, we will explore when two quantities are inversely proportional to each other. We will learn about the term inverse proportion and how to identify an inversely proportional relationship.
Inverse proportion in context
In this lesson, we will interpret, solve and model solutions to inverse proportion problems.
Graphs of inverse proportion problems
In this lesson, we will learn to recognise and distinguish the graphical representation of inverse proportion.
Direct or inverse proportion?
In this lesson, we will solve a variety of direct and inverse proportion problems. We will learn how to identify when a problem is about direct or inverse proportion.
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