Contents

1
Contents

• Charlies Examples, from the presentation
• Audience Suggestions
• Colourful blank Venn diagrams

2
Charlies Examples
3

Numbers

Smaller than 100
Prime
Odd
4

Numbers
Multiples of 5

3n 1
Triangle Numbers
5

Polygons
Quadrilaterals

Even number of sides
More than 1 line of symmetry
6

y ax2 bx c
Turning point at (2,5)

a lt 0
Symmetrical about the y axis
7
Audience Suggestions

• Number
• Sequences (i.e. terms that fit the given
  sequences)
• More Sequences (Sequences that have the given
  properties)
• Straight Line Graphs
• Quadratics
• Mean, Median, Mode
• KS5 Functions
• Others (Fractions, 3D Shapes, Simultaneous
  Equations, Coordinate Geometry, Modulus
  equations, Matrices)
• Problem Solving

8
Number
9
2 is a factor
Multiple of 3
Multiple of 5
10
Multiple of 9
Even
Multiple of 7
11
Factor of 24
Prime
Multiple of 3
12
Multiple of 4
Factor of 36
Square
13
Multiple of 3
Less than 200
Square
14
Prime
Square
Cube
15
Square
Triangular
Fibonacci
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Sequences

• The numbers in these are those that would be
  found in the sequence

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2n
3n1
5n-1
18
2n2
3n-1
n4
19
5n-3
3n1
n2
20
3n1
5n-2
n21
21
More Sequences

• The objects placed in the Venn diagrams are
  sequences

22
Special Sequences n2 is, n21 isnt from the
sheet
Quadratic Sequences
Linear Sequences
23
Contains 4
Linear Sequence
Quadratic Sequence
24
Fibonacci Style
Sixth term is 2
First term negative
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Converging
Oscillating
Increasing
26
Shapes
27
Triangles and Quadrilaterals only
Has a right angle
Has an obtuse angle
Has an acute angle
28
Regular
Has at least one right angle
Triangle
29
Rotational Symmetry
Reflective Symmetry
Regular Polygon
30
Straight Line Graphs
31
Positive gradient
Negative y-intercept
-1 lt gradient lt 1
32
Positive Gradient
Negative y-intercept
Passes through (1,2)
33
y-intercept 2
Positive Gradient
Gradient lt 2
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(2,3) on the line
Even y-intercept
Positive gradient
35
Passes through (2,8)
m3
c3
36
Gradient of 3
Goes through (3,6)
y-intercept at (0,2)
37
Quadratic Equations
38
Integer Solutions
Crosses x-axis
x0 is a line of symmetry
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(x2) a factor
(x-3) a factor
(x5) a factor
40
Handling Data
41
Mode 5
Mean 5
Median 5
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Median 5
Mean 6
Range 7
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Give (grouped/ungrouped) frequency tables
Mode 1
Mean and Median estimated
Mean gt Median (or estimates thereof)
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KS5 Functions
45
Quadratic
Range y 0
Domain x0
46
Odd function
Infinite domain
Infinite range
47
f(3)2
f(1)0
f(-1)0
48
Others

• Fractions
• 3D shapes
• Simultaneous equations
• Coordinate Geometry
• Modulus equations
• Matrices

49
Fractions
Equivalent to 1/3
In simplest form
Prime denominator
50
Simultaneous Equations
axbyc dxeyf
x and y are negative
OR x-2, y-3
a,b,d,e not multiples of each other
b and e negative
51
Coordinate Geometry
Lies on the circle x2(y-1)225
Lies on the line yx1
Distance 5 from the origin
52
Coordinate Geometry
Lies on the parabolayx2-12
Lies on the line yx
Lies on the circle x2y232
53
Modulus Equations
Equations of the form axbcxd (or ,,lt,gt,)
b0
Only one solution
Solutions include x0
54
Matrices
Orthogonal
Singular
Diagonal
55
Problem Solving

• This Venn diagram admits questions into the
  regions, with techniques for solving them around
  the outside.(These were intended as needing
  both, but a different interpretation would be
  questions that admit different methods of
  solution)

56
Baby trigonometry(In a right-angled triangle)
Sine Rule
Pythagoras Theorem
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Colourful Blank Venn Diagrams
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