Start Ahead. Stay Ahead.
Start Ahead. Stay Ahead.
Learn how functions connect inputs and outputs, how relationships are represented, and how to work with different function types and their graphs.
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Learn what a function is and how inputs, outputs and relationships work. We look at independent and dependent variables, different ways to represent a function, and how to tell when a relationship is not a function. Perfect for Grade 10 CAPS Maths.
Learn what function notation (f(x)) means and how to calculate function values by substituting inputs, work backwards from an output to find an input, and connect function values to points on a graph. We also introduce domain and range as the possible input and output values of a function.
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In this Grade 10 Maths lesson, learn how the gradient in y = mx + c affects a straight-line graph. We compare positive, negative, larger and fractional gradients to see how the value of m changes the direction and steepness of the line.
Learn how to calculate the gradient of a straight line using two points and the gradient formula. See how rise over run connects to the formula and work through examples involving positive and negative gradients.
Learn how changing c in y = mx + c affects a straight-line graph. Explore the y-intercept, vertical shifts and how positive, negative and zero values of c change the position of the line without changing its gradient.
Learn how to sketch straight-line graphs using the gradient and y-intercept method or by calculating the x- and y-intercepts. Work through examples and learn how to choose an efficient method for each equation.
Explore the important properties of straight-line functions, including the gradient, x-intercept, y-intercept, increasing and decreasing behaviour, domain and range, restricted line segments, and horizontal and vertical lines.
Learn how to find the equation of a straight line when two points are given. We work through finding the gradient (m), calculating the y-intercept (c), and writing the final equation in the form (y=mx+c).
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Learn how the graph of y = x² forms a parabola. We use a table of values to plot the graph and explore its symmetrical shape, turning point and axis of symmetry — a clear introduction to parabolas for Grade 10 CAPS Functions.
Learn how the value of a affects a parabola. We look at how the sign of a determines whether the parabola opens upwards or downwards, and how the size of a affects whether the graph is wider or narrower.
Learn how the value of q affects the graph of a parabola in the form y = ax² + q. We look at how positive and negative values of q move the parabola up or down and how q determines the turning point and y-intercept.
Learn how to identify the key properties of a parabola, including the turning point, axis of symmetry, x- and y-intercepts, maximum or minimum value, domain, and range. We also look at examples of parabolas that open upwards and downwards.
Learn how to read key information from a parabola, including where y = 0, y < 0 and y > 0, as well as where the graph is increasing or decreasing. This Grade 10 Maths lesson shows you how to interpret the graph and write your answers correctly.
Learn how to sketch parabolas in the form y = ax² + q using the turning point, x-intercepts, y-intercept and symmetry. We also look at how the value of a affects the direction and width of the parabola.
Learn how to find the equation of a parabola from its graph using y = ax² + q. We use the turning point to determine q, then substitute another point on the parabola to calculate a, with three worked examples.
Learn how to find the equation of a parabola when both a and q are unknown. We use two points to form simultaneous equations, solve for a and q, and write the final equation in the form y = ax² + q.
Learn how to find the equation of a parabola when both a and q are unknown. We use two given points to form simultaneous equations, solve for a and q, and write the final equation in the form y = ax² + q.