# Extra online content finder

Use this content finder to find SolutionBank, GeoGebra interactives and Casio calculator support for Pure Mathematics Year 1/AS. The chapter links below take you the interactives and calculator support for each chapter and to full worked solutions for each exercise.

Technical support

Pure 1 combined SolutionBank

## Chapters

Review exercise 1

Review exercise 2

11   Vectors

Review exercise 3

Practice exam paper

### 1      Algebraic expressions

Page 10: Use your calculator to enter negative and fractional powers.

Page 24: Use your calculator to check solutions to quadratic equations quickly.

Page 28: Explore how the graph of y = (x + p)2 + q changes as the values of p and q change using GeoGebra.

Page 31: Explore how the value of the discriminant changes with k using GeoGebra.

Page 33: Explore the trajectory of the spear using GeoGebra.

### 3      Equations and inequalities

Page 43: Find the point of intersection graphically using GeoGebra.

Page 43: Plot the curve and the line using GeoGebra to find the two points of intersection.

Page 44: Explore how the value of k affects the line and the curve using GeoGebra.

Page 54: Explore which regions on the graph satisfy which inequalities using GeoGebra.

### 4      Graphs and transformations

Page 60: Explore the graph of y = (xp)(xq)(xr) where p, q and r are constants using GeoGebra.

Page 64: Explore the graph of y = (xp)(xq)(xr)(xs) where p, q, r and s are constants using GeoGebra.

Page 67: Explore the graph of y = a/x for different values of a in GeoGebra.

Page 72: Explore translations of the graph of y = x3 using GeoGebra.

Page 77: Explore stretches of the graph of y = x(x − 2)(x + 1) using GeoGebra.

### 5      Straight line graphs

Page 90: Explore the gradient formula using GeoGebra.

Page 94: Explore lines of a given gradient passing through a given point using GeoGebra.

Page 95: Plot the solution on a graph using GeoGebra.

Page 95: Check solutions to simultaneous equations using your calculator.

Page 98: Explore this solution using GeoGebra.

Page 101: Draw both lines and the triangle AOB on a graph using GeoGebra.

### 6      Circles

Page 117: Explore the general form of the equation of a circle using GeoGebra.

Page 121: Explore intersections of straight lines and circles using GeoGebra.

Page 123: Explore the circle theorems using GeoGebra.

Page 130: Explore triangles and their circumcircles using GeoGebra.

### 8      The binomial expansion

Page 161: Use the nCr and ! functions on your calculator to answer this question.

Page 163: Work out each coefficient quickly using the nCr and power functions on your calculator.

Page 168: Use GeoGebra to find the values of x for which the first four terms of this expansion give a good approximation to the value of the function.

### 9      Trigonometric ratios

Page 174: Explore the cosine rule using GeoGebra.

Page 175: Use your calculator to work this out efficiently.

Page 179: Explore the sine rule using GeoGebra.

Page 186: Explore the area of a triangle using GeoGebra.

Page 189: Explore the solution step-by-step using GeoGebra.

Page 197: Plot transformations of trigonometric graphs using GeoGebra.

### 10  Trigonometric identities and equations

Page 203: Use GeoGebra to explore the values of sin θ, cos θ and tan θ for any angle θ in a unit circle.

### 11  Vectors

Page 231: Explore vector addition using GeoGebra.

Page 237: Explore this solution as a vector diagram on a coordinate grid using GeoGebra.

Page 239: Explore the magnitude of a vector using GeoGebra.

Page 245: Use GeoGebra to show that diagonals of a parallelogram bisect each other.

### 12  Differentiation

Page 257: Explore the gradient of the chord AP using GeoGebra.

Page 265: Use your calculator to check solutions to quadratic equations quickly.

Page 269: Explore the tangent and normal to the curve using GeoGebra.

Page 271: Explore increasing and decreasing functions using GeoGebra.

Page 274: Explore the solution using GeoGebra.

Page 277: Use GeoGebra to explore the key features linking y = f(x) and y = f'(x).

### 13  Integration

Page 294: Explore the solution using GeoGebra.

### 14  Exponentials and logarithms

Page 314: Explore the relationship between exponential functions and their derivatives using GeoGebra.

Page 316: Use GeoGebra to draw transformations of y = ex.

Page 317: Work this out in one go using the e[] button on your calculator.

Page 320: Use the logarithm buttons on your calculator.

## Technical support

If you are having issues accessing the links in this content folder, check this list of common problems.

Alternatively you can get in touch by phone or email. Our digital support team are available from 8 am to 5 pm Monday to Friday (excluding bank holidays).

Email digital.support@pearson.com, tel. 0845 313 8888*

the product you are using (e.g. ActiveLearn Digital Service)

the nature of the problem, including any error messages that have appeared

the steps you have already taken to solve the problem

the computer being used (e.g. which version of Windows, which browser)

your contact details including a telephone number

Where we do need to call you, if possible, please be at the computer or workstation that is experiencing technical difficulty.

* Calls to 0845 numbers cost 3p per minute, plus your phone company's access charge. International call charges vary.