NT Year 10 Extension
- Larger Areas: Square Metre, Hectare, Square Kilometre
- Area of a Trapezium
- Area of a Rhombus
- Area of a Circle
- Area of Regular Polygons and Composite Figures
- Surface Area of a Cube/Rectangular Prism
- Surface Area of a Cylinder and Sphere
- Converting between the formal measures
- Word Problems with Volume/Capacity
- Finding the volume of prisms
- Volume of a Cylinder and Sphere
- Word Problems with Money
- Compound Interest
- Dividing mixed numbers
- BODMAS
- One Quantity as a Percentage of Another
- Introducing surds
- Some rules for the operations with surds
- Simplifying Surds
- Creating entire surds
- Adding and subtracting like surds
- Expanding surds
- Binomial expansions
- Conjugate binomials with surds
- Rationalising the denominator
- Rationalising binomial denominators
-
Bearings: The Compass
- Adjacent Angles
- Complementary and Supplementary Angles
- Vertically Opposite Angles
- Angles at a Point
- Parallel Lines
- Additional questions involving parallel lines
- Angle Sum of a Triangle
- Angles of regular polygons
- Congruent triangles: Tests 1 and 2
- Congruent triangles: Tests 3 and 4
- Proofs and Congruent Triangles
- Properties of Parallelograms - Opposite Angles Equal
- Properties of Parallelograms - Diagonals, Sides and Angles
- The Parallelogram Umbrella
- Properties of Trapezoids
- Similar Triangles
- Using Similar Triangles to Calculate Lengths
- Examples involving overlapping triangles
- Pythagoras' Theorem: Finding the Hypotenuse
- Using Pythagorean Triples to Identify Right Triangles
- Calculating the Hypotenuse of a right-angled Triangle
- Calculating a Leg of a right-angled Triangle
- The Gradient
- The Gradient Formula
- The Straight Line
- Lines Through the Origin
- General Form of a Line and the x and y Intercepts
- Slope Intercept Form of a Line
- Point Slope Form of a Line
- Adding indices when multiplying terms with the same base
- Subtracting indices when dividing terms with the same base
- Multiplying indices when raising a power to a power
- Multiplying indices when raising to more than one term
- Terms raised to the power of zero
- Negative Indices
- Fractional Indices
- Simplifying Algebraic Expressions: Multiplication
- Simplifying Algebraic Expressions: Division
- Expanding Algebraic Expressions: multiplication
- Expanding Algebraic Expressions: Negative multiplier
- Expanding and simplifying algebraic expressions
- Solving Equations containing Addition and Subtraction
- Solving Equations containing Multiplication and Division
- Solving Two-Step Equations
- Solving Equations Containing Binomial Expressions
- Equations involving Grouping Symbols
- Equations involving Fractions
- Equations Resulting from Substitution into Formulae
- Changing the Subject of the Formula
- Simultaneous Equations
- Elimination method
- Elimination method part 2
- Applications of simultaneous equations
- Binomial Products
- Binomial products with negative multiplier
- Binomial Products (nonmonic)
- Squaring a Binomial (monic)
- Squaring a Binomial (nonmonic)
- Expansions Leading to the Difference of Two Squares
- Products in Simplification of Algebraic Expressions
- Larger Expansions
- Highest Common Factor
- Factors by Grouping
- Difference of Two Squares
- Common factor and the difference of two squares
- Quadratic Trinomials (monic): Case 1
- Quadratic Trinomials (monic): Case 2
- Quadratic Trinomials (monic): Case 3
- Quadratic Trinomials (monic): Case 4
- Introduction to Quadratic Equations
- Solving Quadratic Equations with Factorisation
- Solving Quadratic Equations
- Completing the square
- Solving Quadratic Equations by Completing the Square
- The Quadratic Formula
-
Problem solving with quadratic equations
- Solving Simultaneous Quadratic Equations Graphically
- Graphing cubic curves
- Absolute Value Equations
- The Rectangular Hyperbola
- The Exponential Function
- Logarithmic Functions
-
Frequency Table
- Frequency histograms and polygons
- Relative Frequency
- The Range
- The Mode
- The Mean
- The Median
- Cumulative Frequency
- Calculating the Mean from a Frequency Distribution
- Calculating median class from grouped data
-
The Normal Distribution
- Stem and Leaf Plots along with Box and Whisker Plots
- The Scatter plot
-
Simple events
- Rolling a pair of dice
- Experimental probability
- Experimental probability
- Tree diagrams: depending on previous outcomes
- The Complementary Result Ã
- P[A or B] When A and B are NOT Mutually Exclusive
-
Trigonometric Ratios
- Using the Calculator
- Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
- Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
- Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
- Unknown in the Denominator [Case 4]
-
Bearings: The Compass
- Angles of Elevation and Depression
- Trigonometric Ratios in Practical Situations
- Using the Calculator to Find an Angle Given a Trigonometric Ratio
- Scientific notation with larger numbers
- Scientific notation with small numbers
- Changing scientific notation to numerals
- Significant Figures
- Two Point Formula: equation of a line which joins a pair of points
- Intercept form of a straight line: find the equation when given x and y
- Parallel Lines: identify equation of a line parallel to another
- Perpendicular Lines
- Inequalities on the Number Plane