While this may look like two linear equations we are actually working with a linear equation and a reciprocal equation.

Pupil outcome: I can use my knowledge of graphical representations to solve problems. Key learning points: - When presented with a real-life problem, it can help to sketch what is happening. - A sketch can provide a visual aid for...

Pupil outcome: I can use my knowledge of vectors to solve problems. Key learning points: - Drawing a diagram can make things clearer. - Adding to an existing diagram can make things clearer. - It can be helpful to start with what you...

Pupil outcome: I can use my knowledge of vectors to solve problems. Key learning points: - Drawing a diagram can make things clearer. - Adding to an existing diagram can make things clearer. - It can be helpful to start with what you...

Pupil outcome: I can use the fx-CG50 to perform calculations with numbers and solve equations numerically. Key learning points: - Some calculators can perform more than just basic calculations. - The fx-CG50 can solve equations...

Pupil outcome: I can use the fx-991CW to perform calculations with numbers and solve equations numerically. Key learning points: - Some calculators can perform more than just basic calculations. - The fx-991CW can convert between...

Pupil outcome: I can relate the solutions (0, 1 or 2) of a linear and quadratic pair of simultaneous equations to the graphs of these equations. Key learning points: - You can use your knowledge of graphical representations to draw the...

Pupil outcome: I can use my knowledge of simultaneous equations to solve problems in context and interpret the solutions. Key learning points: - The features of the equations may mean one method is more preferable for solving. - You can...

Pupil outcome: I can derive two different simultaneous equations from a context. Key learning points: - Relationships in context can be expressed using letters to represent the unknown values. - It is important to be clear about what...

Pupil outcome: I can identify what happens to the equations when a point other than the intersection is substituted into the equations. Key learning points: - If a point on neither line is substituted into the equations, neither equation...

Pupil outcome: I can recognise that the point of intersection of two linear graphs satisfies both relationships and hence represents the solution to both those equations. Key learning points: - You can use your knowledge of linear graphs...

Pupil outcome: I can solve two complex linear simultaneous equations algebraically using elimination. Key learning points: - Additively combining the equations does not eliminate one variable unless the coefficients are the same. -...

Pupil outcome: I can generate coordinate pairs using the equation of a circle in the form x^2 + y^2 = r^2 and then draw the graph. Key learning points: - A table of values can be useful to identify coordinate pairs which satisfy the...

Pupil outcome: I can solve two linear simultaneous equations algebraically using elimination. Key learning points: - It is possible to find a solution that satisfies two equations with two unknowns by trial and error. - A more efficient...

Pupil outcome: I can solve two (one linear, one quadratic) simultaneous equations algebraically using substitution. Key learning points: - Consider which variable to make the subject for the substitution. - Depending which variable you...

Pupil outcome: I can recognise that the point of intersection of two linear graphs satisfies both relationships and hence represents the solution to both those equations. Key learning points: - More than one linear graph can be drawn on...

Pupil outcome: I can draw graphs of the form y = a; x = a and interpret linear graphs in context. Key learning points: - Horizontal lines were drawn when finding the solutions of equations graphically. - Horizontal lines were drawn...

Pupil outcome: I can solve two linear simultaneous equations given in context using elimination. Key learning points: - It is possible to find a solution that satisfies a problem with two unknowns by trial and error. - It is possible to...

Pupil outcome: I can solve two linear simultaneous equations graphically (0 or 1 or infinitely many solutions). Key learning points: - You can use your knowledge of linear graphs to draw the graphs of both equations on the same axes. -...

Pupil outcome: I can solve two linear simultaneous equations algebraically using substitution. Key learning points: - You can use your knowledge of changing the subject to rewrite one or both equations. - If one of the variables is the...

Pupil outcome: I can form and solve equations with more complex shapes. Key learning points: - Sometimes you are given a problem with insufficient information to reach a numerical value. - Depending on the problem, it may be possible to...

Pupil outcome: I can solve two (one linear, one quadratic) simultaneous equations algebraically using elimination. Key learning points: - When one equation is quadratic it will only be possible to eliminate the linear variable. - Doing...

Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...

Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...