Download Relationships I can - Dunblane High School

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