Straight Line Equations (pre-GCSE)
(a) Recap: Know equations of vertical and horizontal lines (e.g. x = 3) and also y = x and y = -x.
(b) Appreciate the conceptual line between lines and their equation (i.e. a line is a set of points that satisfies the equation).
(c) Plot graphs usng a table of values (both linear and quadratic equations).
(d) Find gradient given (i) the equation of the line or (ii) two points on the line. Appreciate gradient gradient is the y-change per unit x change. Includes negative and fractional gradients.
(e) Recognise and use y = mx + c. Find equation of a line given a drawing, and vice versa.
(f) Appreciate that parallel lines have the same gradient.
(g) Determine the x and y intercept of a line.
GCSE Counting Strategies
Counting by (a) systematic listing and (b) by multiplying. Part of the new GCSE specification.
(Used for the Tiffin Year 8 scheme of work)
(a) Determine probabilities using matching outcomes/total outcomes.
(b) Understand the concept of a 'sample space'. Identify the sample space for both a single event and two combined events (e.g. adding two dice) and use to calculate probabilities.
(c) Understand the difference between experimental and theoretical probabilities. Calculate experimental probabilities/relative frequencies and estimate the most likely count given the number of trials and a probability.
Robot Path Activity
Activity in which students have to count the total number of possible paths for a robot given certain restrictions on its movements, in order to work out probabilities.