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5 of 5 objectives have lessons · 0 studied · 0 secure
What Cambridge says you should be able to do, in our words. Codes are the topic number plus the objective’s position.
Find the equation of a straight line given sufficient information.
For example, given two points, or given one point and the gradient.
Taught in: The equation of a straight line, Where lines meet, and the foot of a perpendicular, Parallel and perpendicular lines · 11 questions
Interpret and use any of the forms y = mx + c, y − y₁ = m(x − x₁) and ax + by + c = 0 in solving problems.
Includes calculating distances, gradients, midpoints and points of intersection, and using the relationship between the gradients of parallel and perpendicular lines.
Taught in: The equation of a straight line, Gradient, distance and midpoint, Where lines meet, and the foot of a perpendicular, Parallel and perpendicular lines · 20 questions
Understand that the equation (x − a)² + (y − b)² = r² represents the circle with centre (a, b) and radius r.
Includes using the expanded form x² + y² + 2gx + 2fy + c = 0.
Taught in: Circles in expanded form, The equation of a circle · 13 questions
Use algebraic methods to solve problems involving lines and circles.
Includes using elementary geometrical properties of circles, e.g. a tangent is perpendicular to the radius, the angle in a semicircle, symmetry. Implicit differentiation is not included.
Taught in: Circle facts that find circles, Where a line meets a circle, Tangents to a circle · 17 questions
Understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations.
For example, finding the set of values of k for which the line y = x + k intersects, touches or does not meet a quadratic curve.
Taught in: Graphs, equations and meeting points, Where a line meets a circle, Cuts, touches or misses: lines and quadratic curves · 17 questions