B2.11 Represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies.
Activity 1: Problems of Dividing a Decimal Number by a Whole Number
Jujubes
The mass of two bags of jujubes is 1.448 kg. If the two bags have the same mass, what is the mass of one bag of jujubes?
The Relay Race
Two teams of runners must choose between two relay race routes.
| Route A | Route B |
|---|---|
| The 4 runners of the team will cover a distance of 7.284 km. | The 6 runners of the team will cover a distance of 9.996 km. |
In which route will each runner have the greatest distance to cover?
The Shaded Area
Determine the area of shaded figure below.
Source: translated from Les mathématiques... un peu, beaucoup, à la folie!, Guide pédagogique, Édition révisée, Numération et sens du nombre, 6e, Module 3, Série 2, p. 291-298.
Activity 2: Figure Skating
In 2018, Ontario's Kirsten MooreTowers and partner Michael Marinaro finished 11th at the PyeongChang Olympics in the pairs event.
Here are the results they obtained:
Short program: 65.68 points
Free skating: 132.43 points
In 2022, at the Olympic Games in Beijing, they finished in 10th place. They achieved the following results:
Short program: 62.51 points
Free skating: 118.86 points
What is their average score in the short program? In the free skating program?
Ask students questions such as:
- How could we represent this problem using division? Multiplication?
- What strategies can be used to solve the division of a decimal by a whole number? And why?
- How might you estimate the averages? Explain your reasoning.
Ask students to share the strategy(ies) used to solve the divisions. Identify similarities and differences between them.