B1.6 Describe relationships and show equivalences among fractions and decimal numbers up to thousandths, using appropriate tools and drawings, in various contexts.
Activity 1: Clothesline
Write fractions, mixed numbers, whole numbers, and decimal numbers on flash cards. Place two cards on a clothesline (or number line). Have a student randomly select a flash card and place it on the clothesline (or number line), paying attention to the order and space between the numbers. When the student places their card, they must justify their choice of location and answer any questions that may be asked. Continue the activity by inviting other students to take turns doing the same thing.
Source: translated from Guide d’enseignement efficace des mathématiques de la 4e à la 6e année, Numération et sens du nombre, Fascicule 3, Nombres décimaux et pourcentages, p. 159.
Activity 2: At the Bakery
Philippe is a pastry chef at the village bakery. He frequently uses milk in his desserts. When he follows different recipes, he notices that some write the amount of milk in different ways.
Put the different quantities of milk in ascending order.
Recipe 1: 1.125 litres of milk
Recipe 2: 1200 mL of milk
Recipe 3: 2 litres of milk
Recipe 4: \(\frac{1}{2}\) litres of milk
Recipe 5: \(\frac{15}{5}\) litres of milk
Use the strategy of your choice to put the data back in order.
Source: inspired by and translated from En avant, les maths! 6e, CM, Nombres, p. 6.