Solving measurement equations

Task goals

• Substitute known values into a measurement formula (perimeter, area, volume, or distance = speed x time) to form a one-step equation, and solve for the unknown.
• Solve a two-step equation formed from a measurement formula where the unknown has a coefficient and a constant term, such as a rectangle's perimeter with one known side.
• Solve an equation involving a squared unknown or a unit conversion, such as finding a square's side length from its area, or converting between litres and millilitres.
• Form and solve an equation from a measurement context where one dimension is given as an algebraic expression, including for a triangle, trapezium, prism, or circle (using pi).
• Form and solve an equation where two algebraic dimensions are multiplied together, producing a quadratic equation, such as a rectangle's area given as (x + 2)(x - 2).
• Solve a measurement equation involving a cube or cube root, such as finding a sphere's radius from its volume.
• Form and solve a measurement equation from a worded multi-step context, such as a tank filling at a constant rate over time, or two different shapes sharing the same perimeter.