### Rational and irrational numbers

In this lesson, you will learn to classify rational and irrational numbers.

12 lessons

In this lesson, you will learn to classify rational and irrational numbers.

In this lesson, you will learn what a surd is and how to estimate the value of a surd.

In this lesson we will recap how to use Pythagorean theorem to find the length of missing sides in triangles leaving the answers is surd form.

In this lesson, we will look at basic surd rules in particular multiplication and division.

In this lesson, you will learn about the the ratio of side lengths in right angle triangles.

In this lesson, we will look at the special cases of 30 and 60 degrees right angled-triangles.

In this lesson, you will develop an understanding of trigonometric ratios focusing on sine.

In this lesson, you will explore trigonometric ratios focusing on sine and cosine.

In this lesson, we will learn how to find missing sides and angles using sine and cosine for 30 and 60 degrees.

In this lesson, we will learn how to find missing sides using sine and cosine for any angle.

In this lesson, we will use inverse sine and cosine to find missing angles.

In this lesson, we will look at the sine and cosine graphs and compare them.

Units in Maths

Units in Number

- 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 (8.7a)
- Ratio, real life graphs, and rates of change
- Direct and indirect proportion
- Univariate data
- Bivariate data
- Famous maths problems
- Angles and parallel lines review
- Angles in polygons
- Bearings
- Volume and surface area of prisms
- Area review
- Circles
- FDP review (9.1a)
- Probability
- Sets, Venn and sample space diagrams
- Solving linear simultaneous equations algebraically
- Solving linear simultaneous equations graphically
- Angle review (9.5a)
- Constructions, congruence, and loci
- Pythagorasâ€™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

- Factors and multiples
- Measures: Length
- Calculating with whole numbers and decimals
- Problem solving with whole numbers and decimals
- Decimals and measures
- Numbers and numerals
- Fractions and decimals
- Place value
- Multiplication and division: 2, 5 and 10
- Conceptualising and comparing fractions
- Multiplication and division
- Time
- Addition and subtraction
- Numbers within 100
- Addition and subtraction within 20
- Exploring calculation strategies
- Numbers within 6
- Accuracy and estimation
- Area and perimeter
- Converting units of measure
- Measures: Capacity and volume
- Numbers to 10
- Decimals
- Addition and subtraction (applying strategies)
- Integers & Decimals
- Numbers to 20
- Addition and subtraction within 10
- Deriving multiplication and division facts
- Addition and subtraction within 10
- Multiplication and division
- Problem solving with integer addition and subtraction
- Reasoning with patterns and sequences
- Fractions, decimals and percentages
- Measures (2): Capacity and volume
- Numbers 50 to 100 and beyond
- Position and Direction
- Securing multiplication facts
- Addition and subtraction within 6
- Order of operations
- Surds and trigonometry
- Measures: Mass
- Reasoning with large whole numbers
- Indices and standard form
- Exploring calculation strategies and place value
- Reasoning with 4-digit numbers
- Measures (1): Length and mass
- Addition and subtraction word problems
- Numbers to 50
- Volume
- Early Mathematical experiences
- Solving measure and money problems
- Addition and subtraction of 2-digit numbers (regrouping and adjusting)
- Percentages
- Doubling and halving
- Fractions
- Numbers within 10
- Numbers beyond 20
- Depth of numbers within 20
- Multiplication and division: 3 and 4
- Grouping and Sharing
- Length and perimeter
- Numbers within 1000
- Graphs
- Number sense and exploring calculation strategies
- Axioms and arrays
- Numbers within 20
- Exploring calculation strategies within 20
- Manipulating and calculating with fractions
- 2-D shape, perimeter and area
- Addition and subtraction of 2-digit numbers
- Measures
- Calculation problems
- Extending calculation strategies and additive reasoning
- Prime factor decomposition
- Pattern and Early Number
- Numbers within 15
- Addition and subtraction
- Securing multiplication and division
- Money
- Positive and negative numbers
- Addition and subtraction within 20 (comparison)