found (Communicating) Adjustment distinguish between positive and Grid lines would be helpful for some in seeing the midpoint of negative gradients from a diagram an interval. (Reasoning) Assessment use graphing software to find the midpoint Informally assess students understanding through the and gradient of an interval discussion of concepts. Recap Theorem. Ask students to explain why we Pythagoras’ are doing Theorem in this topic? What is the link Pythagoras’ to finding the distance between two points? Find the distance between two points located on the Cartesian plane using a range of strategies, Using the right-angled triangles drawn to calculate the including graphing software (ACMNA214) gradient, now use them to calculate the distance between them. use the interval between two points on the Cartesian plane as the hypotenuse of a Also use graphing software to find the distance between two right-angled triangle and apply Pythagoras' points theorem to determine the length of the Adjustment interval joining the two points (ie 'the distance between the two points') Care should be taken with finding the square root of numbers that are not perfect squares. For Stage 5.1, only use numbers describe how the distance that are perfect squares. between (or the length of the interval joining) two points can be Assessment calculated using Pythagoras' theorem (Communicating) Assess students through the graphics software used to find the distance between two points on the Cartesian plane use graphing software to find the distance between two points on the Cartesian plane Sketch linear graphs using the coordinates of Using a table of values, students substitute different values of two points (ACMNA215) x into a given linear relationship. They then plot points from the table of values to graph the line. construct tables of values and use
found (Communicating) distinguish between positive and negative gradients from a diagram (Reasoning) use graphing software to find the midpoint and gradient of an interval Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214) use the interval between two points on the Cartesian plane as the hypotenuse of a right-angled triangle and apply Pythagoras' theorem to determine the length of the interval joining the two points (ie 'the distance between the two points') describe how the distance between (or the length of the interval joining) two points can be calculated using Pythagoras' theorem (Communicating) use graphing software to find the distance between two points on the Cartesian plane Sketch linear graphs using the coordinates of two points (ACMNA215) construct tables of values and use Adjustment Grid lines would be helpful for some in seeing the midpoint of an interval. Assessment Informally assess students understanding through the discussion of concepts. Recap Pythagoras’ Theorem. Ask students to explain why we are doing Pythagoras’ Theorem in this topic? What is the link to finding the distance between two points? Using the right-angled triangles drawn to calculate the gradient, now use them to calculate the distance between them. Also use graphing software to find the distance between two points Adjustment Care should be taken with finding the square root of numbers that are not perfect squares. For Stage 5.1, only use numbers that are perfect squares. Assessment Assess students through the graphics software used to find the distance between two points on the Cartesian plane Using a table of values, students substitute different values of x into a given linear relationship. They then plot points from the table of values to graph the line.