A graphic display calculator plots a function, finds where it meets the axes or another graph, and gives a number on screen. The skill is not pressing the buttons. It is choosing what to plot, deciding whether the picture can be trusted, and writing a result the examiner can credit.
Graphic display calculator use is most closely linked to International Mathematics 0607. The 0580 syllabus has its own calculator rules, so check the current syllabus page for your code and ask your exam centre which calculator models are allowed.
What should you know before starting?
You should be comfortable plotting a straight line and a quadratic by hand, and solving a simple quadratic by factorising or the formula. If those feel shaky, revisit non-calculator strategy first, because the calculator is only useful when you can tell whether its output is sensible.
You also need rounding to significant figures and decimal places. That is covered again inside this module.
One orienting example
Solve x² = x + 6 using graphs, then check exactly.
Plot y = x² and y = x + 6 in a window of x from −5 to 5 and y from −2 to 12. The intersection tool gives x = −2 and x = 3. The points are (−2, 4) and (3, 9).
Now check by algebra. x² − x − 6 = 0 factorises as (x − 3)(x + 2) = 0, so x = 3 or x = −2. The graph and the algebra agree, and you can write both in your working.
In what order should you study the lessons?
- Select a useful viewing window: a bad window makes every later step unreliable, so start here.
- Identify a hidden root caused by a poor window: learn what a misleading picture looks like and how to test for it.
- Compare graphical and exact solutions: decide when a graph reading is enough and when algebra is needed.
- Read a numerical result with appropriate precision: turn a long decimal into the accuracy the question asks for.
- Document the calculator-supported method: write working that shows reasoning instead of a screenshot of the answer.
Then test yourself with the mixed practice set. The quadratic structure explorer lets you change coefficients and watch roots and the turning point move, which supports lessons one to three.
Which traps catch students most?
- Trusting the default window. The standard window is fine for small numbers and poor for most exam contexts.
- Stopping at one root. A quadratic can have two, and the second may be off screen.
- Quoting a screen reading as exact. A value such as 3.236067977 is an approximation of 1 + √5.
- Rounding too early. Copy the full value into the next step, then round once at the end.
- Writing only “from calculator”. The marks are for the method, so state the equation, the window or table used, and a check.
How should you use the practice set?
Work the questions with your calculator in hand and write full working on paper first. Only then open the answer. The set ends with a section that sends each type of error back to the right lesson.
Students who can operate the calculator but are unsure what to write often benefit from seeing their own working marked line by line. That is something our teachers do in online one-to-one Mathematics tuition.