Representing inequalities
In this lesson, we will discuss what different inequalities mean, and we will see an example of where we might see inequalities used in context.
Unit Overview: Forming and solving inequalities
Lessons:
8 lessons
Inequalities and substitution (Part 1)
In this lesson, we will substitute different values into an algebraic inequality to see if it is true or false.
Inequalities and substitution (Part 2)
In this lesson, we will continue our work on substituting into inequalities, this time considering negative numbers in more detail.
Solving inequalities
In this lesson, we will use the balancing method to solve inequalities. We balance the inequality by completing inverse operations to simplify the expressions.
Forming and solving inequalities (Part 1)
In this lesson, we will set up and solve inequalities in the context of area and perimeter of rectangles.
Forming and solving inequalities (Part 2)
In this lesson, we will set up and solve inequalities in the context of word problems.
Manipulating inequalities
In this lesson, we will investigate the relationship between different inequalities using bar models and "always, sometimes, never" statements.
Manipulating equations and inequalities
In this lesson, we will continue to investigate the relationships between inequalities and equations. We determine truth statements based upon a given inequality.
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