# 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.

Page 246: Check your answer by entering the vectors directly into your calculator.

### 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 275: Check your solution using your calculator.

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.

Page 300: Check your solution using your calculator.

### 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

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