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@ccook15.bsky.social
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catrionaagg.bsky.social
Tuesday’s lesson with Y12 was something no we talked about lots in last years A Level Pedagogy Work Group - the importance of explicitly teaching pupils how to sketch graphs. Was also good to teach them Desmos skills like rescaling the axes. #MathsToday #ALevelMaths
y = (x - 2)(x+ 3)(2x+ 1)(x-5) Accurately plotted graph on the left and a sketch on the right. Text below the pictures reads: Lose the detail • No scale on axes Keep the important features • Shape • Intercepts • Turning points Plot these graphs in Desmos and then make a sketch. y = (x - 2)(x + 3)(x- 5) y = (x - 2)(x + 3) (5 - x) Write down the key similarities and key differences between the graphs. Similarities : • only one y-intercept • Similar shape • intercept x-axis in same place • two turning points... • ...at same x-values Differences: • one 'positive', one 'negative' • reflections in y-axis • different y-intercepts • As x → infinity, one increases but one decreases Plot these graphs in Desmos and then make a sketch. Write down the key similarities and key differences between each pair y = (x+ 3)(3x+ 3)(3x+1) y = (x - 3)(3x - 1) y = x(x - 4)(x + 3)(x + 2) y = x(x - 4)(x + 3) y = (x + 10)(x + 100) y = (x + 100)(x + 1000) y = x(x - 17) (3x + 1)(2x - 1) y = x(17 - x)(1 + 3x)(1 - 2x) y = (x + 3)(x + 34)(x + 35) y = (x + 3)(x + 34)^2 y = x(x - 2)^2 (5x + 8) y = x(x - 2)(5x + 8)^2 y = (x - 1)^2 (x - 5)(x+ 6) y = (x - 1)^3 (x - 5)(x +6) y = (2x + 3)^3 (4x - 1)^2 y = (2x - 1)^3 (4x + 3)^2
September 12, 2025 at 6:33 PM