Presentation on theme: "Rencia Lourens RADMASTE Centre Using the CASIO fx-82ZA PLUS for functions in the FET band."— Presentation transcript:
Rencia Lourens RADMASTE Centre Using the CASIO fx-82ZA PLUS for functions in the FET band
Some remarks A calculator is a tool. Learners should Know where answers come from. Understand mathematics. Teachers should Teach the mathematics. Explain the reasoning behind why the calculator methods work. BUT the calculator can (and should) become a tool to assist.
CAPS Functions form 35% of the Grade 12 paper 1, 45% in Grade 11 and 30% in Grade 10 (CAPS). The calculator can be used to support the calculations needed to draw and interpret the graphs of the functions.
So how can I use this as a teacher to enhance understanding? Some thoughts The meaning of symmetry The minimum value The meaning of a plotted graph The shape of a quadratic function Just checking – the turning point is (2; -5)
xf(x) -5-43 -4-31 -3-21 -2-13 -7 0-3 1 2 3-3 4-7 5-13 y-intercept Turning point should be here No x-intercept?
Seems as there are no x- intercepts. Focus on turning point first. Will be between x=1 and x=2. The turning point is below the x-axis. All the graph values are below the x-axis. So no x-intercepts. x 1 1.25-0.8125 1.5-0.75 1.75-0.8125 2
xf(x) -5-119 -4-75 -3-39 -2-11 9 021 125 221 39 4-11 5-38 y-intercept Turning point should be here x-intercept should be here
Somewhere between x = -2 and x = -1 the one x-intercept should lie and somewhere between x = 3 and x = 4 the other x-intercept should lie. So we are going to look at smaller domains and smaller steps.