Maths Tutor for Year 9 Maths

Computation and Financial Mathematics

Subtopics:

• Computation with integers
• Decimal places and signifi cant figures
• Rational numbers
• Computation with fractions
• Ratios, rates and best buys
• Computation with percentages and money
• Percentage increase and decrease
• Profits and discounts REVISION
• Income
• Simple interest
• Compound interest and depreciation
• Using a formula for compound interest and depreciation

Expressions, Equations and Inequalities

Subtopics:

• Algebraic expressions
• Simplifying algebraic expressions
• Expanding algebraic expressions
• Linear equations with pronumerals on one side
• Linear equations with brackets and pronumerals on both sides
• Using linear equations to solve problems
• Linear inequalities 119 2H Using formulas
• Linear simultaneous equations: substitution
• Linear simultaneous equations: elimination
• Using linear simultaneous equations to solve problems
• Quadratic equations of the form ax2 = c

Right-angled Triangles

• Pythagoras’ theorem
• Finding the shorter sides
• Using Pythagoras’ theorem to solve two-dimensional problems
• Using Pythagoras’ theorem to solve three-dimensional problems
• Introducing the trigonometric ratios
• Finding unknown sides
• Solving for the denominator
• Finding unknown angles
• Using trigonometry to solve problems
• Bearings

Linear Relationships

Subtopics:

• Introducing linear relationships
• Graphing straight lines using intercepts
• Lines with only one intercept
• Gradient
• Gradient and direct proportion
• Gradient–intercept form
• Finding the equation of a line using y = mx + b
• Midpoint and length of a line segment from diagrams
• Perpendicular lines and parallel lines
• Linear modelling FRINGE
• Graphical solutions to linear simultaneous equations

Length, area, surface area and volume

Subtopics:

• Length and perimeter
• Circumference and perimeter of sectors
• Area REVISION
• Perimeter and area of composite shapes
• Surface area of prisms and pyramids
• Surface area of cylinders
• Volume of prisms
• Volume of cylinders

Indices and Surds

Subtopics:

• Index notation
• Index laws for multiplying and dividing
• The zero index and power of a power
• ndex laws extended
• Negative indices
• Scientifi c notation
• Scientifi c notation using signifi cant figures
• Fractional indices and surds
• Simple operations with surds

Properties of geometrical figures

Subtopics:

• Angles and triangles
• Parallel lines
• Quadrilaterals and other polygons
• Congruent triangles REVISION
• Using congruence in proof
• Enlargement and similar figures
• Similar triangles
• Proving and applying similar triangles

Quadratic Expressions and Algebraic Fractions

Subtopics:

• Expanding binomial products
• Perfect squares and the difference of two squares
• Factorising algebraic expressions
• Factorising the difference of two squares
• Factorising by grouping in pairs
• Factorising monic quadratic trinomials
• Factorising non-monic quadratic trinomials
• Simplifying algebraic fractions: multiplication and division
• Simplifying algebraic fractions: addition and subtraction
• Further addition and subtraction of algebraic fractions
• Equations involving algebraic fractions

Probability and Single Variable Statistics

Subtopics:

• Probability review REVISION
• Venn diagrams and two-way tables
• Using set notation FRINGE
• Using arrays for two-step experiments
• Using tree diagrams
• Using relative frequencies to estimate probabilities
• Measures of centre: mean, median and mode
• Stem-and-leaf plots
• Grouping data into classes
• Measures of spread: range and interquartile range
• Box plots

Quadratic Expressions and Graphs of Parabolas

Subtopics:

• Quadratic equations
• Solving ax2 + bx = 0 and x 2 – d 2 = 0 by factorising
• Solving x2 + bx + c = 0 by factorising
• Using quadratic equations to solve problems
• The parabola 624 10F Sketching y = ax2 with dilations and reflections
• Translations of y = x2
• Sketching parabolas using intercept form