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Relationships I Can… Pupil Evaluation Checklist Relationships Simultaneous Equations. I can…. 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. Notes Revision page exercise 41 1.3 41 1.3 40 1.3 38 1.3 41 42 42 1.4 1.4 1.4 45 2.4 45 2.4 48 2.4 49 2.4 50 2.4 44 2.1 46 2.2 & 2.3 47 2.2 & 2.3 Changing the Subject of a Formula. I can … rearrange a formula involving + , - , x and ÷. rearrange a formula given in fraction form. rearrange a formula involving powers or roots. Quadratic Equations. I can… 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: −𝑏 ± √𝑏 2 − 4𝑎𝑐 𝑥= 2𝑎 The Discriminant. I can… use the discriminant b2 – 4ac to test the nature of the roots of a quadratic and make the appropriate statement: b2 – 4ac > 0 Real and Distinct Roots b2 – 4ac = 0 Equal and Real Roots b2 – 4ac < 0 No Real Roots use the discriminant to find an unknown term e.g. ax2 + 4x – 2 =0 has equal roots. Find the value of a. Quadratic Graphs. I can… 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 by finding the roots, turning point and y–intercept and by knowing it’s nature and axis of symmetry. 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. Relationships Pythagoras. I can…. 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. Notes Revision page exercise 51 3.1 3.1 3.1 Similarity. I can … 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. Circles. I can… 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. Angles in Polygons. I can… calculate internal and external angles of polygons using my knowledge of angles. Trigonometric Graphs. I can… 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 y = sinbx. 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). 57 57 3.3 3.3 57 3.3 57 3.3 58 3.3 56 3.2 52 3.2 56 3.2 59 4.1 59 4.1 4.1 59 4.2 61 4.1 60 4.1 Relationships Trigonometric Equations. I can… 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. Trigonometric Identities. I can… state the trig identities: sin2x + cos2x = 1 and tanx = sinx cosx rearrange and use both trig identities to prove given problems. Relationships Straight Line. I can… 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 y = mx + c and state the gradient and y – intercept. find the equation of a line when I am given 2 points that do not include the y-intercept by using: y – b = m(x – a) Functions. I can… evaluate a function f(x) given any value of x find the value(s) of x when given the value of f(x) Linear Equations & Inequalities. I can… 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 Notes Revision page exercise 62 4.2 63 4.2 64 4.2 65 4.2 Notes Revision page exercise 34 1.1 32 1.1 35 1.1 43 43 36 1.2 37 1.2 37 1.2 38 1.2