Interactive Year 9 Maths Help and Practice

Divisibility Rules

Prime factors

Determining Common Factors

Determining Common Multiples

Introduction to exponents

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Comparing and ordering rational numbers

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Determine square roots of rational numbers

Using exponents to describe numbers

Exponent rules

Order of operations with exponents

Using exponents to solve problems

Ratios

Rates

Proportions

Identifying proportional relationships

Understanding graphs of proportional relationships

Understanding tables of values of proportional relationships

Applications of linear relationships

Representing percents

Percents, fractions, and decimals

Percent of a number

Adding and multiplying percents

Taxes, discounts, tips and more

Simple interest

Square and square roots

Cubic and cube roots

Evaluating and simplifying radicals

Converting radicals to mixed radicals

Converting radicals to entire radicals

Adding and subtracting radicals

Multiplying and dividing radicals

Rationalize the denominator

Metric systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

Cartesian plane

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Line symmetry

Rotational symmetry and transformations

Surface area of 3-dimensional shapes

Classifying triangles

Isosceles and equilateral triangles

Circles and circumference

Angles in a circle

Arcs of a circle

Areas and sectors of circles

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Squares and square roots

Pythagorean theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface area of cylinders

Introduction to volume

Volume of prisms

Volume of cylinders

Word problems relating volume of prisms and cylinders

Model and solve one-step linear equations: <i>ax = b</i>, <i>x/a = b</i>

Solving two-step linear equations using addition and subtraction: <i>ax + b = c</i>

Solving two-step linear equations using multiplication and division: <i>x/a + b = c</i>

Solving two-step linear equations using distributive property: <i>a(x + b) = c</i>

Solving linear equations using multiplication and division

Solving two-step linear equations: <i>ax + b = c</i>, <i>x/a + b = c</i>

Solving linear equations using distributive property: <i>a(x + b) = c</i>

Solving linear equations with variables on both sides

Solving literal equations

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Compound inequalities

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Midpoint formula: \(M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)\)

Gradient equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Gradient intercept form: y = mx + b

General form: Ax + By + C = 0

Gradient-point form: \(y - y_1 = m (x - x_1)\)

Rate of change

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from gradient-intercept form y=mx+b

Graphing linear functions using a single point and gradient

Word problems of graphing linear functions

Parallel and perpendicular lines in linear functions

Applications of linear relations

Common factors of polynomials

Factorising polynomials by grouping

Solving polynomials with the unknown "b" from <i>x^2 + bx + c</i>

Solving polynomials with the unknown "c" from <i>x^2 + bx + c</i>

Factorising polynomials: <i>x^2 + bx + c</i>

Applications of polynomials: <i>x^2 + bx + c</i>

Solving polynomials with the unknown "b" from \(ax^2 + bx + c\)

Factorising polynomials: \(ax^2 + bx + c\)

Factorising perfect square trinomials: <i>(a + b)^2 = a^2 + 2ab + b^2</i> or <i>(a - b)^2 = a^2 - 2ab + b^2</i>

Find the difference of squares: <i>(a - b)(a + b) = (a^2 - b^2)</i>

Evaluating polynomials

Using algebra tiles to factorise polynomials

Solving polynomial equations

Word problems of polynomials

Reading and drawing bar graphs

Reading and drawing histograms

Reading and drawing line graphs

Box-and-whisker plots and scatter plots

Stem-and-leaf plots

Pie charts

Reading and drawing Venn diagrams

Frequency tables and dot plots

Median and mode

Mean

Range and outliers

Application of averages

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability with Venn diagrams