5.2 ◊ A student: selects appropriate notations and conventions to communicate mathematical ideas and solutions MA5.21WM constructs arguments to prove and justify results MA5.23WM uses the gradient-intercept form to interpret and graph linear relationships MA5.29NA Students: Interpret and graph linear relationships using the gradient-intercept form of the equation of a straight line graph straight lines with equations in the form ('gradient-intercept form') recognise equations of the form as representing straight lines and interpret the xcoefficient as the gradient, and the constant as the yintercept, of a straight line rearrange an equation of a straight line in the form ('general form') to gradient-intercept form to determine the gradient and the yintercept of the line find the equation of a straight line in the form , given the gradient and the yintercept of the line graph equations of the form by using the gradient and the yintercept, and with the use of digital technologies 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 yintercept on the graph of a straight line (Communicating, Reasoning) find the gradient and the yintercept 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 lines, using digital technologies and compare their gradients to establish the condition for lines to be perpendicular (Communicating, Reasoning)
5.2 ◊ A student: selects appropriate notations and conventions to communicate mathematical ideas and solutions MA5.21WM constructs arguments to prove and justify results MA5.23WM uses the gradient-intercept form to interpret and graph linear relationships MA5.29NA Students: Interpret and graph linear relationships using the gradient-intercept form of the equation of a straight line graph straight lines with equations in the form ('gradient-intercept form') recognise equations of the form as representing straight lines and interpret the xcoefficient as the gradient, and the constant as the yintercept, of a straight line rearrange an equation of a straight line in the form ('general form') to gradient-intercept form to determine the gradient and the yintercept of the line find the equation of a straight line in the form , given the gradient and the yintercept of the line graph equations of the form by using the gradient and the yintercept, and with the use of digital technologies 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 yintercept on the graph of a straight line (Communicating, Reasoning) find the gradient and the yintercept 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 lines, using digital technologies and compare their gradients to establish the condition for lines to be perpendicular (Communicating, Reasoning)