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 | |
|---|---|
| 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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