These exercises and activities are for students to use independently of the teacher to practice number properties.
- Dividing by sharing into equal sets (equal subtractions)
Proportions and Ratios, EA (Stage 5)
- Homework with answers (PDF or Word)
- Practice exercises with answers (PDF or Word)
Prior knowledge
- Sharing by dealing
- Recall basic addition facts, including doubles knowledge. For example, 50 + 50 = 100, 3 + 3 + 3 = 9
Background
Halving as the opposite of doubling may be a worthwhile piece of learning that can develop from discussions around the answers to exercise 3, where students are just halving numbers.
Remember that students who have not reached stage 6 in the "basic facts" domain have not learned all of their basic multiplication facts, so a multiplicative strategy based purely on the numbers may not work for all students.
Comments on the Exercises
Exercise 1
Asks students to solve word problems that involve finding unit fractions of a set.
Exercise 2
Asks students to solve word problems. These word problems are more complex than Exercise 1. Students are asked to identify the fraction and then the answer.
Exercise 3
Asks students to solve a set of problems that asks them to find one half of a number.
Exercise 4
Asks students to solve a set of problems that asks them to find one third of a number.
Exercise 5
Asks students to solve a set of problems that asks them to find one quarter of a number.