Page 82 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

• incorporate coding to reinforce students’ understanding of connections between various number systems and types of numbers within a system.
Teacher Prompts
• What is a number system?
• How can we describe what it means to belong in a given number set?
• What are some words we can use to describe number sets? Can you explain in your own words
what prime numbers are? composite numbers? rational numbers?
• A certain subset contains the number 5. What are some possible characteristics of that subset
other than that it contains 5?
• Why is every second multiple of 6 also a multiple of 4?
Sample Tasks
1. Have students write code to generate the first 100 prime numbers or the prime numbers between a specific interval (e.g., 700–800).
2. Have students create a number set and then pair up. Have partners look at the numbers in each other’s sets and describe the characteristics of the set.
3. Have students describe similarities and differences between different subsets and discuss how the same numbers can belong to different subsets.
4. Have students create a diagram to show the similarities and differences between number sets: natural numbers, whole numbers, integers, rational numbers, and real numbers.
5. Have students create subsets of numbers that have different amounts of numbers in common: for example, no numbers in common, a finite number of numbers in common, an infinite number of numbers in common.
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