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Radians: Arcs and Sectors

This collection of interactive excel sheets look at radians, arc length, sector area, converting to and from degrees, and other related problems.

The first sheet displays a sector of a circle and corresponding interior angle. The angle value is given in radians as a decimal and in terms of π, as well as in...

Trigonometry: X=cosθ,Y=sinθ

This collection of interactive excel sheets looks at a circle of radius 1 and the corresponding values generated for cosθ and sinθ.

The first interactive sheet illustrates that for the unit circle, X = cosθ and Y = sinθ. The value of θ can be adjusted.

The second sheet generates angles from 0° to 360...

Volumes of Revolution

This collection of interactive excel sheets investigate volumes of revolution by integration.

The first sheet plots the function y= ax2+bx+c and illustrates the area under the curve as well as the volume of revolution between two adjustable limits, x=A and x=B. The constants a,...

Algebraic Equations

This excel file contains a series of sheets which generate different types of equations involving algebraic fractions. The different types include denominators which are single term, linear and quadratic expressions. The quadratic expressions all have 1 as the coefficient of x2.

Students need to be able to...

Algebraic Fractions

This excel file contains a series of sheets which generate terms involving algebraic fractions which need to be combined and simplified. The different types include denominators which are single term, linear and quadratic expressions.

The quadratic expressions all have 1 as the coefficient of x2. For success...

Composite Functions

This excel workbook contains a series of sheets to help students explore different types of composite functions including linear, quadratic and reciprocal functions.

The first sheet allows students to input different numbers into a flowchart showing two different linear functions. Students work out and can...

Formulae, Rearranging, Evaluating

This excel file contains a series of sheets which give practice in rearranging formulae and substituting values. Clicking on the subject of the formula reveals the rearranged form. The answers to the calculations are also available.

The topics of the formulae include dynamics, elastic strings, pendulum,...

Circles - Equations and Graphs

This excel program contains a series of interactive spreadsheets related to the equation of the circle. The first sheets enable the student to alter the radius and centre of the circles centred at the origin and elsewhere. The program allows the student to view the graphs of the circles as they transform.

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Cubics (Factorising and Graphing)

This interactive excel program enables students to investigate cubic functions and the relationship between the factorised form and the graph.

The first activities require the student to use the factor theorem to factorise cubic polynomials and then to see the graphs. Alternatively students can toggle...

Factorising

This resource contains two interactive excel programs which enable students to investigate cubic functions and the relationship between the factorised form and the graph.

Factorising: Quadratics a=1
This excel file gives practice at factorising...

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