Active online learning: using shared digital whiteboards to make Year 9 maths visual

A student working through a long calculation on a blackboard
“Pure mathematics is, in its way, the poetry of logical ideas.” - Albert Einstein

Having a visual way to explore equations makes a world of difference for a student’s confidence. Online Year 9 maths tutoring works best when it’s active: shared whiteboards, live questions and a tutor who can see their working as it happens.

Year 9 maths gets more abstract, especially on the Path side. Letters stand for whole families of graphs, and rules arrive faster than the reasons behind them.


How a shared screen makes Year 9 graphs and triangles make sense

Desmos lets your child move a slider and watch a graph respond instantly. One number at a time, the letters in a rule stop being abstract.

What we show live What your child sees The idea it locks in
A slider on m in y = mx + c The line tilts steeper, flatter, or downhill as m changes m is the gradient: how much y changes each time x goes up by 1
A slider on c in y = mx + c The whole line slides up and down without tilting c is where the line crosses the y-axis
A slider on a in y = ax² The parabola narrows, widens, and flips upside down when a goes negative The sign and size of a control the parabola’s shape
A right-angled triangle resized while the angle stays the same The sides grow, but opposite ÷ hypotenuse stays exactly the same That’s why sine, cosine and tangent depend only on the angle

Which of these your child meets in Year 9 depends on their school’s Core and Path choices.


Working together on practice questions in real time

Sessions run on Google Meet with a shared digital whiteboard, and Desmos comes in whenever a graph helps. Your child can write on an iPad or type and draw with a mouse.

What a one-hour session looks like

  1. Check-in: how they’re feeling and what’s come up since last week.
  2. Set the focus: based on upcoming assessments and anything from previous sessions that still needs work.
  3. Predict, then check: your child sketches what they expect a graph to look like before typing it into Desmos.
  4. Work through it together: your child drives the practice on the whiteboard, with the tutor watching each line.
  5. Review and next steps: a quick recap, written into the shared Google Doc with what to practise before next time.

The prediction step is where understanding shows. A student who can sketch y = −2x² + 3 before seeing it understands the rule, while one who can only plot points from a table is still following steps.


Why memorising rules leaves Year 9 students feeling stuck

In Year 9, the number of rules grows quickly. A student relying on memory alone has more to hold onto every week, and one forgotten rule can sink a whole question.

A student who has watched what each number does can rebuild a rule they’ve forgotten. That’s especially valuable for students on a Path, where each new topic builds on the last.

How you’ll know it’s working

  • They can sketch a straight line or parabola from its rule without plotting points.
  • They can explain what changing one number in a rule would do to the graph.
  • They can say why trigonometry ratios don’t change with the size of the triangle.
  • They attempt unfamiliar questions by reasoning, instead of searching for a matching rule.

Marks and confidence sit on the tracker page at the top of the shared Google Doc, so you can see progress across the term.


Sources

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Core and Path in Year 9 maths: what streaming means, and where marks are lost

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How we track progress in Year 9 maths: marks and confidence, side by side