Having a visual way to explore equations makes a world of difference for a student’s confidence. Good online Year 10 maths tutoring keeps them doing the thinking, with a tutor working alongside them in real time.
Year 10 introduces kinds of functions and triangles many students haven’t seen before. Seeing them move on screen turns a page of new rules into something they can picture.
How a shared screen makes Year 10 functions and triangles visible
| What we show live | What your child sees | The idea it locks in |
|---|---|---|
| Sliders on a, b and r in (x − a)² + (y − b)² = r² | The circle slides left, right, up and down, and grows or shrinks | a and b set the centre; r sets the radius |
| A line and a circle graphed together | The line cuts the circle at two points, touches it at one, or misses it | The number of intersections is the number of solutions |
| A parabola and an exponential side by side | One turns and comes back; the other keeps rising faster | Different equations make fundamentally different shapes |
| A triangle with no right angle, measured live | The sides and angles change together as a corner is dragged | Why the sine and cosine rules are needed once there’s no right angle |
The two new triangle rules, in plain terms
| Rule | When to use it | What it says |
|---|---|---|
| Sine rule | You know a side and its opposite angle, plus one more side or angle | a ÷ sin A = b ÷ sin B |
| Cosine rule | You know two sides and the angle between them, or all three sides | c² = a² + b² − 2ab cos C |
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.
- Check-in: how they’re feeling and what’s come up since last week.
- Set the focus: based on upcoming assessments and anything from previous sessions that still needs work.
- Predict, then check: your child sketches what they expect before Desmos draws it.
- Work through it together: your child drives the practice on the whiteboard, step by step.
- Review and next steps: a quick recap, written into the shared Google Doc with what to practise before next time.
For the triangle rules, the first question is always “what do we know?” Choosing the right rule from the information given is often where Year 10 trigonometry marks are won or lost.
Why memorising the rules alone leaves Year 10 students stuck
A student who has only memorised the sine and cosine rules has to guess which to use. A student who has watched a triangle change, and knows what information each rule needs, can choose.
The same is true of graphs. Recognising the shape from the equation, before plotting a single point, is what lets a student move quickly through harder questions.
How you’ll know it’s working
- They can sketch a circle from its equation, centre and radius marked.
- They can explain why the points where two graphs meet are the solutions.
- They choose between the sine and cosine rules based on what’s given.
- They recognise a parabola, exponential or circle from its equation alone.
Marks and confidence sit on the tracker page at the top of the shared Google Doc, so you can see progress across the term.