Relationships I Can Pupil Evaluation Checklist

Relationships I Can… Pupil Evaluation Checklist

• use a table of values to draw the graph of a straight line.

• use the graph of 2 drawn straight lines to find the point of intersection and solve a simultaneous equation.

• construct an algebraic equation to represent given real life data.

• use the process of elimination to find one variable and use substitution to find the second variable.

• rearrange a formula involving + , - , x and ÷.

• rearrange a formula given in fraction form.

• rearrange a formula involving powers or roots.

• solve a quadratic equation by setting it equal to zero then factorising and finding the roots.

• solve a quadratic equation using it’s graph.

• solve a quadratic equation using the formula:

• use the discriminant b2 – 4ac to test the nature of the roots of a quadratic and make the appropriate statement:

• use the discriminant to find an unknown term e.g.

• use the graph of a quadratic to work out its equation in the form y = kx2 and y = (x + p)2 + q.

• sketch a quadratic given in the form y = ax2 + bx + c

• sketch a quadratic given in the form y = (x + p)2 + q by finding the turning point, y–intercept and by knowing it’s nature and axis of symmetry.

• use Pythagoras to find either the hypotenuse or a shorter side in a right angled triangle.

• calculate the distance between two co-ordinates.

• prove if a triangle is right angled by using the Converse of Pythagoras.

• explain why two shapes are similar.

• calculate the scale factor.

• use the linear scale factor to calculate a new length.

• use the area scale factor to calculate a new area by squaring the linear scale factor.

• use the volume scale factor to calculate a new volume by cubing the linear scale factor.

• calculate the size of missing angles inside circle diagrams using my knowledge of angle and circle properties.

• calculate missing lengths inside circle diagrams using my knowledge of Pythagoras and Trigonometry.

• calculate internal and external angles of polygons using my knowledge of angles.

• sketch the graphs of y = sinx, y = cosx and y = tanx stating where they meet the x and y axes and their maximum and minimum values.

• sketch and state the amplitude of a graph of the form y = asinx.

• identify that a graph of the form y = - sinx is reflected over the x axis.

• sketch and state the period of a graph of the form

• sketch and state the vertical shift of a graph of the form y = sinx + c.

• sketch and state the horizontal shift of a graph of the form y = sin(x + d).

• find the first solution of a trig equation of the form 2sinx + 1 = 0.

• find the second solution by using a CAST diagram or by using the appropriate trig graph.

• state the trig identities:

• rearrange and use both trig identities to prove given problems.

• identify the y-intercept, c , and write the equation of a line in the form y = mx + c

• rearrange any equation of a line into the form

• find the equation of a line when I am given 2 points that do not include the y-intercept by using:

• evaluate a function f(x) given any value of x

• find the value(s) of x when given the value of f(x)

• solve equations containing letters on both sides and brackets

• solve equations with coefficients that are fractions

• solve inequations containing letters on both sides and brackets

• solve inequations involving negative numbers