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3 Sequences, functions and graphs

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  1. 3.1 Sequences

    1. 3.1.AGenerating sequences

      generate terms of a sequence using term-to-term and position-to-term definitions of the sequence Including odd, even, squares, multiples and powers

    2. 3.1.BSubsequent terms of an integer sequence and the rule

      find subsequent terms of an integer sequence and the rule for generating it 5, 9, 13, 17, … (add 4) 1, 2, 4, 8, … ( multiply by 2)

    3. 3.1.Cnth terms of arithmetic sequences

      use linear expressions to describe the nth term of arithmetic sequences 1, 3, 5, 7, 9, … nth term is 2n – 1 nth term is 4n + 3, write down the first 3 terms of the sequence

  2. 3.3 Graphs

    1. 3.3.AInterpreting linear and non-linear graphs

      interpret information presented in a range of linear and non-linear graphs To include speed/time and distance/time graphs

    2. 3.3.BCartesian coordinate conventions

      understand and use conventions for rectangular Cartesian coordinates

    3. 3.3.CPoints (x, y) in any of the four quadrants or locate

      plot points (x, y) in any of the four quadrants or locate points with given coordinates

    4. 3.3.DThe coordinates of points identified by geometrical

      determine the coordinates of points identified by geometrical information

    5. 3.3.EMidpoint coordinates

      Determine a line segment’s midpoint from the coordinates of its endpoints.

    6. 3.3.FStraight-line conversion graphs

      Draw and interpret straight-line conversion graphs, including currency-conversion graphs.

    7. 3.3.GGradient of a straight line

      find the gradient of a straight line gradient = (increase in y) ÷ (increase in x)

    8. 3.3.HStraight-line graphs in the form y = mx + c

      recognise that equations of the form y = mx + c are straight line graphs with gradient m and intercept on the y-axis at the point (0, c) Write down the gradient and coordinates of the y intercept of y = 3x + 5; Write down the equation of the straight line with gradient 6 that passes through the point (0, 2)

    9. 3.3.ILinear and quadratic function graphs

      Recognise, generate points and plot linear and quadratic function graphs, including tables and equations of the form ax + by = c.