Interactive, dynamic illustrations to generate or contribute to math discussions.

NUMBER | QUADRATIC FUNCTIONS |

GEOMETRY | POLYNOMIAL AND RATIONAL FUNCTIONS |

CARTESIAN PLANE | CIRCULAR FUNCTIONS |

LINEAR FUNCTIONS | SEQUENCES |

TRIGONOMETRY | CALCULUS |

Number | |
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Number line to zoom in/out | Number Line 1 |

Number line for adding/subtracting | Number line 2 |

Number patterns | Fill the gaps 1, Fill the gaps 2 |

Negative number rules review | Negative number rules |

Negative number line scale | Negative number line |

Multiples on a grid | Multiplication with Area |

Multiples with an array | 600 array dots, 600 array grid |

Multiples (jump the line) | Multiples on a number line |

Multiples (circle sort) | Recognise Multiples |

Factors: n-point circle | n-point circle |

Highest common factor, lowest common multiple: small numbers | HCF, LCM small numbers |

Highest common factor, lowest common multiple: large numbers | HCF, LCM large numbers |

Fractions: 1/4, 1/2, 3/4 | Fraction board |

Fractions: adding (area model) | Add fractions |

Fraction maker: rectangle | Fraction Rectangle |

Fractions: equivalent | Equivalent fraction (number line) |

Fraction of a quantity | Number line fractions/read a scale |

Fractions multiply area model | Multiply fractions demo |

Percentages | 10% Number line |

Percentages | Percent Circle Diagrams |

Simplify surds | Simplify surds |

Geometry | |

Area introduction | Area estimation quiz |

Area, Perimeter Quadrilaterals | Quadrilateral workspace |

Area of Circle with triangles | Inscribed polygons |

Parallelogram | Construct Parallelograms on a grid |

Parallelogram area | Explore parallelogram area |

Pythagoras’ theorem explanation | part1, part2 |

Question Bank:Pythagoras’ theorem | Calculating with the Pythagorean theorem |

Scale factor and volume | Enlarge a cardboard box |

Cartesian Plane | |

Blank x-y axes with 9 tools | Cartesian plane 9 tools |

Match a picture | Birdhouse |

Rectangles on the Plane | |

Linear Functions | |

Blank x-y axes with 7 tools and input bar | Cartesian plane with input |

Move 5 points to form a line | Linear Functions 5 points |

Move 9 points on fixed x coordinates | Plotting points on linear functions |

Slope, line segment (grid) | Investigate slope |

Slope, line, illustration (grid) | Slope with sliders |

Slope line segment quiz (grid) | Slope line segment quiz |

Slope, line quiz (grid) | Slope line quiz |

Slope, line quiz (coordinates) | Slope between two points |

Equation of a line, investigate slope y intercept | Slope, y-intercept investigation |

Identify a linear function using a dynamic point | Identify a linear function |

Question bank: Slope y-intercept | Linear equation with slope y intercept |

Question bank: Slope and point | Linear equation with slope and point |

Question bank: Any two points | Linear equation with any two points |

Question bank: x, y intercepts, slope, form | Linear equation features |

Question bank: Solve a system of linear equations | Practice system of equations |

Arithmetic sequence and linear functions graphed | Arithmetic sequence and linear function |

Trigonometry | |

Right Angled Triangles Estimation | Estimating sides/angles on right-angled triangles |

Right Triangle with hypotenuse 1 | Triangle Hypotenuse 1 |

Right Triangle with hypotenuse 1 with questions | Triangle Hypotenuse 1 Investigation |

Right Triangle with hypotenuse 1 for calculating with scale factor | Triangle Hypotenuse 1 Calculations |

Right Triangle Change angle and hyp | Right Triangle variable angle/hyp, Investigation |

Estimate sines/cosines given a right triangle hyp = 1 | Estimate sine/cosine |

Right Triangle First Quadrant Unit Circle Diagram | First Quadrant |

Sine, Cosine, Tangent Labels. Use with ‘First Quadrant’ app. | Order sine, cosine tangent |

Question bank: SOH CAH TOA and Pythagoras’ Theorem | Practice Right Triangles |

Investigate the sides of a non-right angled triangle | When the triangle is not right-angled |

Question bank: cosine law | sides, angle |

Cosine law proof | Cosine law proof |

Sine law illustration | Sine law illustration |

Sine law proof | Sine law proof |

Question bank: Sine and cosine law | Practice sine and cosine law |

Quadratic Functions | |

Add to Multiply to | Add to multiply to |

Question bank Factor Quadratic with a=1 | Factor Quadratic a=1 |

Question bank Factor Quadratic with | Factor Quadratic with |

Question bank Factor Quadratic with the Grid method | Factor Quadratic Grid method |

Question bank Factor Quadratic split the middle | Factor Quadratic with Decomposition |

plotted point by point | First Parabola |

Investigation into a, b, c quadratic function | Introduction to quadratic functions |

intercepts found by factoring | Factor to find roots |

Illustrate/investigate vertex form | Illustrate vertex form, Investigate vertex form |

Match with vertex form and sliders | Vertex Form: match the parabola |

Question bank complete the square with | Complete the square a=1 |

Question bank complete the square, identify vertex | Vertex from vertex form |

Complete the square | Convert to completed square form |

Question bank Quadratic equations (no qf required) | Quadratic equations 1 practice |

Question bank: intercepts to 2 d.p. | Real Roots of a Parabola |

Question bank: Quadratic functions mixed algebra | Quadratic functions practice |

Identify the parabola sudden death quiz | Identify the parabola |

Match the parabola with | Quadratic function match |

Bezier curve demo | Bezier demo |

POLYNOMIAL, Rational and generic Functions | |

Algebra Simplify Expression | Expand, gather, factor |

Vertical line test | Vertical line test |

Domain and Range 1 | Domain and Range with Rectangles |

Domain and Range 20 examples | Domain and Range |

Create a function 4 corners | Example, Four Corners |

Create a function: rectangle | Example, Rectangle |

Create a function: polygon | Example, Polygon |

Create a function: semicircle | Example, Semicircle |

Investigate | Understand |

First Rational Function | Point by point, Move the point |

Question bank: Rational Functions | Practice rational functions |

Investigate vertical slide and stretch | Vertical transformations |

Investigate horizontal slide and stretch | Horizontal transformations |

Illustrate vertical/horizontal transformations | Vertical and horizontal transformations |

Question bank: Inverse functions | Practice inverse functions |

Question bank: Tranform graphs with key points | Practice transforming graphs |

Question bank: Transform graphs with parameters | Practice transforming with parameters |

Investigate: The graphs of polynomials | Polynomials |

Illustrate number of roots on a cubic | Cubic with vertical slide |

Question bank: Properties of polynomials | Practice properties of polynomials |

Question bank: Factor theorem | Factor theorem |

Illustrate: factored polynomial with graph | Factored polynomial |

Question bank: Remainder theorem | Practice remainder and factor theorem |

Circular Functions | |

Investigate: London Eye Ferris Wheel | London Eye Ferris Wheel |

From chords to sine | Explore lengths of chords |

Unit circle with colours | Unit Circle Colour |

Unit circle one value at a time | Unit Circle 3 values |

Unit circle with coordinates | Unit Circle with point P |

Unit circle order labels (no calculator, use with Unit circle colours) | Sine, Tan, Cos Order |

Reference Angles Illustration | Trigonometry Reference Angle |

Question bank: reference angles | Reference Angle Calculation |

Reference angles with coordinates | Reference Angle Points |

Question Bank: Exact Values (degrees) | Exact Value Degrees |

Question Bank: Exact Values (radians) | Exact Value Radians |

Sine curve | Plotting the sine curve |

Cosine curve | Plotting the cosine curve |

Sine, Cosine curves 4 shapes | Sine, cosine, positive, negative |

Sine curve vertical transformations | Transform sine vertically |

Sine curve focus on the period | Transform with the period |

Sine curve horizontal transformations | Transform sine horizontally |

Sine curve all four transformations | Four transformations on sine |

Question Bank: Range Period | Range, period with Graphs, Range, period no graphs |

Question bank: Curve Matching | Sinusoidal graph match |

Question bank: 12 sine and cosine graphs to identify | f(x)=a sin(bx)+d, f(x)=a cos(bx)+d |

Quiz on transformations | Quiz calculate sine, cosine transformations |

SEQUENCES | |

Question bank: Arithmetic sequences | Arithmetic sequence practice questions |

Question bank: Arithmetic sequences and series (with sigma notation) | Arithmetic sequence and series practice questions |

Illustrate sum of arithmetic sequence | Arithmetic series visual, trapezoid model, Arithmetic series visual, rectangle modelGeometric Sequence fill the gapsGS Gaps 1, GS Gaps 2, GS gaps 3 |

Question Bank: Geometric Sequences | Geometric sequence practice questions |

Calculus | |

Investigate: slope of tangent on a parabola | Slope of tangent on a parabola |

Question bank: Equation of tangent to polynomial | Equation of tangent to polynomial |

Calculate equation of two parallel tangent lines | Tangents parallel to cubic |

Volume of revolution | Volume of revolution visual |

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