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Contents Charlie’s Examples, from the presentation

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Presentation on theme: "Contents Charlie’s Examples, from the presentation"— Presentation transcript:

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

2 Charlie’s Examples

3 Numbers Smaller than 100 Prime Odd

4 Numbers Multiples of 5 3n + 1 Triangle Numbers

5 More than 1 line of symmetry
Polygons Quadrilaterals Even number of sides More than 1 line of symmetry

6 Symmetrical about the y axis
y = ax2 + bx + c Turning point at (2,5) a < 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, 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

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

17 2n 3n+1 5n-1

18 2n+2 3n-1 n+4

19 5n-3 3n+1 n2

20 3n+1 5n-2 n2+1

21 More Sequences The objects placed in the Venn diagrams are sequences

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

23 Contains 4 Linear Sequence Quadratic Sequence

24 Fibonacci Style Sixth term is 2 First term negative

25 Converging Oscillating Increasing

26 Shapes

27 Triangles and Quadrilaterals only
Has an obtuse angle Has a right angle Has an acute angle

28 Has at least one right angle
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 < gradient < 1

32 Positive Gradient Negative y-intercept Passes through (1,2)

33 y-intercept = 2 Positive Gradient Gradient < 2

34 (2,3) on the line Even y-intercept Positive gradient

35 Passes through (2,8) m=3 c=3

36 Gradient of 3 Goes through (3,6) y-intercept at (0,2)

37 Quadratic Equations

38 Integer Solutions Crosses x-axis x=0 is a line of symmetry

39 (x+2) a factor (x-3) a factor (x+5) a factor

40 Handling Data

41 Mode = 5 Mean = 5 Median = 5

42 Median = 5 Mean = 6 Range = 7

43 Give (grouped/ungrouped) frequency tables
Mode = 1 Mean and Median estimated Mean > Median (or estimates thereof)

44 KS5 Functions

45 Quadratic Range y ≤0 Domain x≥0

46 Odd function Infinite domain Infinite range

47 f(3)=2 f’(1)=0 f(-1)=0

48 Others Fractions 3D shapes Simultaneous equations Modulus equations
Matrices

49 Fractions Equivalent to 1/3 In simplest form Prime denominator

50 a,b,d,e not multiples of each other
Simultaneous Equations ax+by=c dx+ey=f x and y are negative OR: x=-2, y=-3 a,b,d,e not multiples of each other b and e negative

51 Modulus Equations Equations of the form |ax+b|=|cx+d| (or ≥,≤,<,>,=) b=0 Only one solution Solutions include x=0

52 Matrices Orthogonal Singular Diagonal

53 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)

54 “Baby” trigonometry (In a right-angled triangle)
Sine Rule Pythagoras’ Theorem

55 Colourful Blank Venn Diagrams

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