Use this content finder to find SolutionBank, GeoGebra interactives and Casio calculator support for Pure Mathematics Year 2. The chapter links below take you to the interactives and calculator support for each chapter and to full worked solutions for each exercise. You can also download SolutionBank for the whole textbook.
5 Radians
11
Integration
12
Vectors
• Page 12, example 10: Check your answer using the simultaneous equations function on your calculator.
• Scientific calculator tutorial
• Mixed exercise 1 SolutionBank
• Page 23, example 2: Use your calculator to work out values of modulus functions.
• Scientific calculator tutorial
• Page 24, example 3: Explore graphs of f(x) and |f(x)| using GeoGebra.
• Page 25, example 5: Explore intersections of straight lines and modulus graphs using GeoGebra.
• Page 29, example 9: Explore graphs of functions on a given domain using GeoGebra.
• Page 37, example 16b: Explore functions and their inverses using GeoGebra.
• Page 40, example 17b: Explore graphs of modulus functions using GeoGebra.
• Page 46, example 21: Explore combinations of transformations using GeoGebra.
• Page 51, example 23: Explore the solution using GeoGebra.
• Mixed exercise 2 SolutionBank
• Page 60, example 1: Use the table function on your calculator to generate terms in the sequence for this function, or to check an nth term.
• Scientific calculator tutorial
• Page 69, example 11: Use your calculator to check your answer.
• Scientific calculator tutorial
• Page 77, example 17: Check your answer by using your calculator to calculate the sum of the series.
• Scientific calculator tutorial
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Mixed exercise 3 SolutionBank
• Page 93, example 2: Use GeoGebra to explore why the expansions are only valid for certain values of x.
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• Page 95, example 4a: Use your calculator to calculate the coefficients of the binomial expansion.
• Scientific calculator tutorial
• Mixed exercise 4 SolutionBank
• Review exercise 1 SolutionBank
• Page 115, example 3: Use your calculator to evaluate trigonometric functions in radians.
• Scientific calculator tutorial
• Page 119, example 7: Explore the arc length of a sector using GeoGebra.
• Page 120, example 10: Explore the area of a sector using GeoGebra.
• Page 123, example 13: Explore the area of a segment using GeoGebra.
• Page 133, section 5.5: Use GeoGebra to explore approximate values of sin θ. cos θ and tan θ for values of θ close to 0.
• Mixed exercise 5 SolutionBank
• Page 147, example 5: Explore transformations of the graphs of reciprocal trigonometric functions using GeoGebra.
• Page 156, example 12: Solve this equation numerically using your calculator.
• Scientific calculator tutorial
• Page 159, example 14: Use your calculator to evaluate inverse trigonometric functions in radians.
• Scientific calculator tutorial
• Mixed exercise 6 SolutionBank
• Page 168, example 1: Explore the proof step-by-step using GeoGebra.
• Page 182, example 14: Explore how you can transform the graphs of y = sin x and y = cos x to obtain the graph of y = 3 sin x + 4 cos x using GeoGebra.
• Page 184, example 17: Use GeoGebra to explore maximums and minimums of curves in the form R cos (θ − α).
• Page 189, example 21: Explore the solution to this modelling problem graphically using GeoGebra.
• Mixed exercise 7 SolutionBank
• Page 199, example 2: Sketch this parametric curve using GeoGebra.
• Page 203, example 4: You can graph the parametric equations using GeoGebra.
• Page 204, example 5: Explore this curve graphically using GeoGebra.
• Page 207, example 7: Use GeoGebra to graph the parametric equations.
• Page 209, example 8: Explore curves with parametric equations of this form using GeoGebra.
• Page 215, example 12: Use the polynomial function on your calculator to solve the quadratic equation.
• Scientific calculator tutorial
• Page 217, example 13: Find points of intersection of this curve with the coordinate axes using GeoGebra.
• Mixed exercise 8 SolutionBank
• Review exercise 2 SolutionBank
• Page 232, example 1: Explore the relationship between sin and cos and their derivatives using GeoGebra.
• Page 235, example 4: Explore the function ax and its derivative using GeoGebra.
• Page 243, example 13: Explore the graph of this function using GeoGebra.
• Page 250, example 22: Explore the graph of this curve and the normal at this point using GeoGebra.
• Page 259, example 28: Explore the solution to this example graphically using GeoGebra.
• Mixed exercise 9 SolutionBank
• Page 276, example 3: Locate the root of f(x) = ln x − `1/ x` using GeoGebra.
• Page 279, example 4b: Use the iterative formula to work out x1, x2 and x3. You can use your calculator to find each value quickly.
• Scientific calculator tutorial
• Page 280, example 5: Explore the iterations graphically using GeoGebra.
• Page 284, example 6: Explore how the Newton–Raphson method works graphically and algebraically using GeoGebra.
• Mixed exercise 10 SolutionBank
• Page 295, example 2: Use your calculator to check your value of a using numerical integration.
• Scientific calculator tutorial
• Page 302, example 11: Check your solution by using your calculator.
• Scientific calculator tutorial
• Page 314 example 23: Explore the area between two curves using GeoGebra.
• Page 319, example 24: Explore under- and over- estimation when using the trapezium rule, using GeoGebra.
• Page 323, section 11.10: Explore families of solutions using GeoGebra.
• Page 326, example 27: Explore the solution to this example graphically using GeoGebra.
• Mixed exercise 11 SolutionBank
• Page 339, example 3: Explore the solution to this example visually in 3D using GeoGebra.
• Page 339, example 5: Perform calculations on 3D vectors using your calculator.
• Scientific calculator tutorial
• Page 340, example 6: Check your answer using the vector functions on your calculator.
• Scientific calculator tutorial
• Page 342, example 8: Explore the solution to this example visually in 3D using GeoGebra.
• Page 345, example 9: Explore the solution to this example visually in 3D using GeoGebra.
• Mixed exercise 12 SolutionBank
• Review exercise 3 SolutionBank
• Exam-style practice: Paper 1 SolutionBank
• Exam-style practice: Paper 2 SolutionBank
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