Contents

• Charlie’s Examples, from the presentation• Audience Suggestions• Colourful blank Venn diagrams

Charlie’s Examples

Numbers

Prime Smaller than 100

Odd

Numbers

Multiples of 53n + 1

Triangle Numbers

Polygons

Quadrilaterals Even number of sides

More than 1 line of symmetry

y = ax2 + bx + c

Turning point at (2,5) a < 0

Symmetrical about the y axis

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

Number

2 is a factor Multiple of 3

Multiple of 5

Multiple of 9 Even

Multiple of 7

Factor of 24 Prime

Multiple of 3

Multiple of 4 Factor of 36

Square

Multiple of 3 Less than 200

Square

Prime Square

Cube

Square Triangular

Fibonacci

Sequences

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

2n 3n+1

5n-1

2n+2 3n-1

n+4

5n-3 3n+1

n2

3n+1 5n-2

n2+1

More Sequences

• The objects placed in the Venn diagrams are sequences

Quadratic Sequences

Special Sequences[n2 is, n2+1 isn’t from the sheet]

Linear Sequences

Contains 4 Linear Sequence

Quadratic Sequence

Fibonacci Style

Sixth term is 2

First term negative

Converging Oscillating

Increasing

Shapes

Has an obtuse angle

Has a right angle

Has an acute angle

Triangles and Quadrilaterals only

Regular Has at least one right

angle

Triangle

Rotational Symmetry

Reflective Symmetry

Regular Polygon

Straight Line Graphs

Positive gradient

Negative y-intercept

-1 < gradient < 1

Positive Gradient

Negative y-intercept

Passes through (1,2)

y-intercept = 2

Positive Gradient

Gradient < 2

(2,3) on the line

Even y-intercept

Positive gradient

m=3 Passes through (2,8)

c=3

Gradient of 3 Goes through (3,6)

y-intercept at (0,2)

Quadratic Equations

Integer Solutions

Crosses x-axis

x=0 is a line of symmetry

(x+2) a factor (x-3) a factor

(x+5) a factor

Handling Data

Mode = 5 Mean = 5

Median = 5

Median = 5 Mean = 6

Range = 7

Mode = 1 Mean and Median

estimated

Mean > Median (or estimates

thereof)

Give (grouped/ungrouped) frequency tables

KS5 Functions

Quadratic Range y ≤0

Domain x≥0

Odd function Infinite domain

Infinite range

f(3)=2 f’(1)=0

f(-1)=0

Others

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

Equivalent to 1/3

In simplest form

Prime denominator

Fractions

a,b,d,e not multiples of each other

x and y are negative

b and e negative

Simultaneous Equationsax+by=cdx+ey=f

OR: x=-2, y=-3

Lies on the line y=x+1

Lies on the circle x2+(y-1)2=25

Distance 5 from the origin

Coordinate Geometry

Lies on the line y=x

Lies on the parabolay=x2-12

Lies on the circle x2+y2=32

Coordinate Geometry

b=0 Only one solution

Solutions include x=0

Equations of the form |ax+b|=|cx+d| (or ≥,≤,<,>,=)

Modulus Equations

Orthogonal Singular

Diagonal

Matrices

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)

“Baby” trigonometry(In a right-angled triangle)

Sine Rule

Pythagoras’ Theorem

Colourful Blank Venn Diagrams