Relationships I Can… Pupil Evaluation Checklist
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exercise
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.
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:
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 Equal and Real Roots
b2 – 4ac < 0 No Real Roots / 49 / 2.4
- use the discriminant to find an unknown term e.g.
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
- 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 / / / / Notes
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exercise
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.
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
- 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).
Relationships / / / / Notes
page / Revision
exercise
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:
- rearrange and use both trig identities to prove given problems.
Relationships / / / / Notes
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exercise
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
- find the equation of a line when I am given 2 points that do not include the y-intercept by using:
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