Basic layout for KS 2,3 and 4 starting point and rough layout Ability to switch between number line and graph Rule checking Mapping table with user entry always on left. On right computer generates first three right hand entries. Then user enters and computer checks Smiley face feedback Default 3 and 4 Graph Plots points as correctly entered. Draws line when rule is given correctly Default stage 2 Identical number lines 0 to 20. Joins points as entered correctly. Joins all possible points when rule given correclty New rule generator How to Start? When does the equation change to a new one? Are incorrect inputs left in the list? If so, how are they flagged? What stops students from pressing the step-up/step- down buttons until a smiley face appears? Are the stepper buttons maintained in this long list or is only the last row active for input? Scroll bars OK for KS2? They’ll appear when the list gets long. Do only correct answers go In the list?

Mapping table with user entry always on left. On right computer generates first three right hand entries. Then user enters and computer checks Smiley face feedback Need to be able to carry on with the self generated boxes almost indefinitely Student clicks a button when they think they know the rule and computer enters 100 in the left column and learner enters output. If wrong suggest more practice! Stage 2 rules Random generator +, x or - and any whole number from 1 to 10, for + and –, and 0 to 5 for multiplication. First three: student enters left computer generates right Four onwards: student generates left and right, computer checks and gives feedback with smiley face. For each correct pair computer draws mapping arrow between the two number lines. Partial arrows to be visible e.g will appear with only one end visible. The rule is Select from +, x, - Select from 0 to 10 The aim is for the rule to appear above the arrow but not as if it is in separate boxes e.g. x3 Rule generator only available when mapping from 100 is correct

Mapping spec as stage 2 Stage 3 rule Random generate A and B for substitution into A(x+B) A in the range 2 to 5 and B in the range – 5 to +5 Graph axes -20 to +40 (y) and -5 to +5 (x) For each correct pair computer plots point on grid if visible. Full graph plotted when rule in generator is correct Rule generator only available when mapping from 100 is correct Two rule checking options available Will be of the form with inputs for p,q,r and s asked for (drop down lists) px+q r(x+s) When one is complete and correct they can ask to see the other form and the graph appears. y = x y = (x ) Drop down or scroll from -25 to +25 for all the below

Mapping spec as stage 2 except for check Test rule by asking them to complete mapping for input of 10. What if 10 has already been entered? Stage 4 rules Random generate A and B (either both even or both odd) for substitution into (x+A)(x+B) in the range – 4 to +4 Graph axes -20 to +40 (y) and -5 to +5 (x) For each correct pair computer plots point on grid if visible. Full graph plotted when rule in generator is correct Rule generator only available when mapping from 10 is correct Three rule checking options available Will be of the form with inputs for p,q,r,s,t,u asked for (drop down lists) x 2 +px+q (x+r)(x+s) (x+t) 2 +u When one is complete and correct they can ask to see the other forms and the graph appears. How do they ask? Do the other forms appear in a list or one at a time? Does the student fill in all the forms? Any feedback? Which of the forms drives the graph? What if one form is Correct (=> show graph) and another is wrong (=> hide Graph)? y = x 2 x y = (x )(x ) Y = (x ) 2 Drop down or scroll from -20 to +20 for all the below Use numeric stepper or text entry with integer validation message? Positive numbers entered will not have a leading +, so this would have to be outside the box.