Mathematics as the Language of Science

Read the given quantities, write the relation, convert units if needed, substitute values, calculate, and write the answer with unit.

A line graph can show how one measured quantity changes with another, such as distance with time.

Wrong answer: speed = 6. This is incomplete because speed must be written with the unit, such as 6 m/s.

Mathematics is used in science to express relationships, compare quantities, calculate results, and make predictions from data.

Mathematics is used in science to express relationships, compare quantities, calculate results, and make predictions from data. General rule: physical quantity = numerical value + unit; equations show how quantities are related. If a cyclist travels 120 metres in 20 seconds, speed is calculated as distance divided by time, giving 6 m/s.

Science becomes stronger when observations are measured and written as numbers, graphs, ratios, or equations. Mathematics helps describe speed, density, concentration, energy, population change, and many other ideas. It also helps students check whether an answer is reasonable by looking at units and values. General rule: physical quantity = numerical value + unit; equations show how quantities are related. Distance = 120 m, time = 20 s. Speed = distance/time = 120/20 = 6 m/s. The unit m/s shows distance covered each second. Students may be asked to calculate a value, interpret a graph, compare two rates, or identify the correct unit. Wrong answer: speed = 6. This is incomplete because speed must be written with the unit, such as 6 m/s.