๐ŸŒฑSproutSheets

ACARA AC9M9A03, Gradient, midpoint and distance

Year 9 ยท Algebra

Find the gradient of a line segment, the midpoint of an interval and the distance between two points on the Cartesian plane.

Below are free printable maths worksheets that support AC9M9A03. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Find the gradient of a line segment, the midpoint of an interval and the distance between two points on the Cartesian plane.

How to teach it

Plot and read points as (across, up), x before y, starting from the origin. Extend to four quadrants and describe moves and reflections.

Worked example
A point is at (3, 2). Move it 5 right and 5 up. Write the new coordinates.
Answer: (8, 7)
Why: x: 3 + 5 = 8; y: 2 + 5 = 7

Generated and checked in code, so it is correct.

Watch out for

Reversing the coordinates (up before across) and mis-signing points in the negative quadrants.

Make a worksheet for AC9M9A03
More Year 9 Algebra codes: AC9M9A01 ยท AC9M9A02 ยท AC9M9A04 ยท AC9M9A05 ยท AC9M9A06
โ† Browse all Australian Curriculum maths codes

Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.