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Published byMaria Matthews Modified over 6 years ago
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Contents Charlie’s Examples, from the presentation
Audience Suggestions Colourful blank Venn diagrams
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Charlie’s Examples
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Numbers Smaller than 100 Prime Odd
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Numbers Multiples of 5 3n + 1 Triangle Numbers
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More than 1 line of symmetry
Polygons Quadrilaterals Even number of sides More than 1 line of symmetry
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Symmetrical about the y axis
y = ax2 + bx + c Turning point at (2,5) a < 0 Symmetrical about the y axis
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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
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Number
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2 is a factor Multiple of 3 Multiple of 5
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Multiple of 9 Even Multiple of 7
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Factor of 24 Prime Multiple of 3
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Multiple of 4 Factor of 36 Square
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Multiple of 3 Less than 200 Square
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Prime Square Cube
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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 3n+1 5n-1
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2n+2 3n-1 n+4
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5n-3 3n+1 n2
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3n+1 5n-2 n2+1
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More Sequences The objects placed in the Venn diagrams are sequences
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[n2 is, n2+1 isn’t from the sheet]
Special Sequences [n2 is, n2+1 isn’t from the sheet] Quadratic Sequences Linear Sequences
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Contains 4 Linear Sequence Quadratic Sequence
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Fibonacci Style Sixth term is 2 First term negative
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Converging Oscillating Increasing
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Shapes
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Triangles and Quadrilaterals only
Has an obtuse angle Has a right angle Has an acute angle
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Has at least one right angle
Regular Has at least one right angle Triangle
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Rotational Symmetry Reflective Symmetry Regular Polygon
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Straight Line Graphs
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Positive gradient Negative y-intercept -1 < gradient < 1
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Positive Gradient Negative y-intercept Passes through (1,2)
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y-intercept = 2 Positive Gradient Gradient < 2
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(2,3) on the line Even y-intercept Positive gradient
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Passes through (2,8) m=3 c=3
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Gradient of 3 Goes through (3,6) y-intercept at (0,2)
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Quadratic Equations
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Integer Solutions Crosses x-axis x=0 is a line of symmetry
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(x+2) a factor (x-3) a factor (x+5) a factor
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Handling Data
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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 > Median (or estimates thereof)
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KS5 Functions
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Quadratic Range y ≤0 Domain x≥0
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Odd function Infinite domain Infinite range
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f(3)=2 f’(1)=0 f(-1)=0
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Others Fractions 3D shapes Simultaneous equations Modulus equations
Matrices
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Fractions Equivalent to 1/3 In simplest form Prime denominator
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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
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Modulus Equations Equations of the form |ax+b|=|cx+d| (or ≥,≤,<,>,=) b=0 Only one solution Solutions include x=0
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Matrices Orthogonal Singular Diagonal
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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)
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“Baby” trigonometry (In a right-angled triangle)
Sine Rule Pythagoras’ Theorem
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Colourful Blank Venn Diagrams
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