Algebraic expressions
In this lesson, we will be introduced to algebraic notation and learn how to evaluate and substitute into expressions.
Unit Overview: Expressions, equations and inequalities
Lessons:
12 lessons
Collecting like terms
In this lesson, we will learn to collect together terms that are alike and manipulate linear expressions.
Distributivity and expanding
In this lesson, we will use the distributive property to expand brackets with linear expressions.
Factorising expressions
In this lesson, we will learn how to factorise basic linear expressions using area models.
Forming and exploring equations
In this lesson, we will learn the concept of an equation and use models to form equations.
Exploring equality
In this lesson, we will form equations and explore how to ensure equality is preserved.
Inequalities
In this lesson, we will use bar modelling to identify and form inequalities.
Further inequalities
In this lesson, we will learn how to form inequalities related to a known equation.
Perimeter expressions
In this lesson, we will learn how to form expressions using algebraic lengths and draw shapes given expressions for the perimeter.
Perimeter inequalities
In this lesson, we will learn how to establish inequalities from perimeter expressions.
Counting strategies
In this lesson, we will generalise counting strategies algebraically for repeating patterns.
Growing tree patterns
In this lesson, we will learn how to generalise counting strategies algebraically for different repeating patterns.
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