The radius is any line segment that joins the centre of a circle to its edge.

Drawing the graph for the equation of a circle

Maths

Checking and securing understanding of drawing quadratic graphs

Key features of a quadratic graph

Drawing cubic graphs

Key features of a cubic graph

Drawing reciprocal graphs

Key features of a reciprocal graph

Drawing exponential graphs

Key features of an exponential graph

Advanced problem solving with non-linear graphs

In this unit, pupils consider other types of graphs. In the future unit, pupils consider different types of sequences such as Fibonacci and oscillating. Their knowledge is consolidated by linking all prior learning together.

In the prior unit, pupils studied the graphical representation of a geometric sequence and linked features of the graph to its equation. In this unit, other types of graphs are introduced and their key features identified.

In this unit graphical representations of non-linear graphs are introduced and explored, and their key features identified.

Non-linear graphs

Select the general form of  the equation of a circle centred at the origin.

Match each equation of a circle to the radius of the circle.

Select the coordinates that lie on the circle with equation $$x^2+y^2=100$$.

Jun draws a line and a circle on the same pair of axes to solve the equations of the line and circle simultaneously. How many possible solutions are there to the simultaneous equations?

Solve the simultaneous equations $$x+y=4$$ and  $$x^2+y^2=10$$ .

The {{}} is any line segment that joins the centre of a circle to its edge.

The value of $$x^2+y^2$$ when $$x=3$$ and $$y=-4$$ is {{}}

Here is a right-angled triangle. The length of the side marked $$r$$ is {{}} cm. 

The equation factorises to give $$(x+3)(x-5)=0$$

The equation factorises to give $$(x-3)(x+5)=0$$

The equation factorises to give $$(x-3)(x-5)=0$$

Jun is solving the equation $$x^2-2x-15=0$$. Select the correct statements.

Drawing the graph for the equation of a circle

Lesson outcome