use graphing software to graph a Do the corollary: give students the gradient and y-intercept variety of equations of straight lines, and ask them what the equation of the line is. and describe the similarities and differences between them, eg Using graphics calculators or graphics software, graph a variety of lines and see similarities and differences, for example, y = x and y = x + 1 have the same gradient but they (Communicating) have a different y-intercept. explain the effect of changing the Also, look at changing the gradient and explain what happens gradient or the y-intercept on the graph to the line as the gradient increases and decreases. Also of a straight line (Communicating, discuss the effect of changing the y-intercept of the line. Reasoning) find the gradient and the y-intercept of a straight line from its graph and use these to determine the equation of the line Calculate the gradient and y-intercept of a line from its graph and use these to write the equation of the line. match equations of straight lines to graphs of straight lines and justify choices (Communicating, Reasoning) Match up equations with their graphs using only the necessary information y-intercept and 2 points. – Adjustment In the matching up of equations to lines, give equations that graph such as equations of non-linear don’t fit any relationships so that there are more equations than graphs to choose from. This is to extend students. Solve problems involving parallel and Assessment perpendicular lines (ACMNA238) Given various equations and their graphs, students match determine that straight lines are them up. Teacher collects answers and corrects them. perpendicular if the product of their gradients is –1 graph a variety of straight lines, including perpendicular Revise conditions necessary for straight lines to be parallel,
use graphing software to graph a variety of equations of straight lines, and describe the similarities and differences between them, eg (Communicating) explain the effect of changing the gradient or the y-intercept on the graph of a straight line (Communicating, Reasoning) find the gradient and the y-intercept of a straight line from its graph and use these to determine the equation of the line match equations of straight lines to graphs of straight lines and justify choices (Communicating, Reasoning) Solve problems involving parallel and perpendicular lines (ACMNA238) determine that straight lines are perpendicular if the product of their gradients is –1 graph a variety of straight lines, including perpendicular Do the corollary: give students the gradient and y-intercept and ask them what the equation of the line is. Using graphics calculators or graphics software, graph a variety of lines and see similarities and differences, for example, y = x and y = x + 1 have the same gradient but they have a different y-intercept. Also, look at changing the gradient and explain what happens to the line as the gradient increases and decreases. Also discuss the effect of changing the y-intercept of the line. Calculate the gradient and y-intercept of a line from its graph and use these to write the equation of the line. Match up equations with their graphs using only the necessary information – y-intercept and 2 points. Adjustment In the matching up of equations to lines, give equations that don’t fit any graph such as equations of non-linear relationships so that there are more equations than graphs to choose from. This is to extend students. Assessment Given various equations and their graphs, students match them up. Teacher collects answers and corrects them. Revise conditions necessary for straight lines to be parallel,