Number sense and counting (T3 W7)
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Number sense refers to a person's ability to understand, interpret, and work with numbers. It involves recognizing the relationships between numbers, understanding their magnitude, and being able to manipulate them in various ways. For example, knowing that 10 is greater than 5, or that 15 is 3 more than 12, are fundamental aspects of number sense. This week, we will explore how to develop this skill through counting exercises and visual aids.
Let's consider the number 12. We can represent this using visual models such as counters or blocks. If we group the counters into sets of 5, we can see that 12 consists of 2 full sets of 5 (which makes 10) and 2 extra counters. This visual representation helps us understand not just the number itself, but also how it can be broken down into smaller parts. This method can be applied to larger numbers as well, enhancing our counting skills.
Now, let's practice counting together. I will display a set of 20 counters on the board. As a class, we will count them in groups of 4. How many groups do we have? (Students should respond with 5 groups.) This exercise helps reinforce the concept of grouping and makes counting more manageable. After counting, we will discuss how grouping can simplify larger numbers and calculations.
For your independent practice, solve the following problems on your own. 1) Count the number of apples in a basket of 24 if they are grouped in pairs. 2) If you have 30 marbles and you give away 12, how many do you have left? Show your working clearly. After completing these problems, review your answers with a partner and discuss any mistakes you made.
Answer: 22
15 plus 7 equals 22.
Answer: 42
42 is greater than all the other numbers listed.
Answer: 35
50 minus 15 equals 35.
Answer: 24
8 times 3 equals 24.
Answer: 35
12 plus 15 plus 8 equals 35.
Answer: 18
18 is a multiple of 6 (6 x 3 = 18).
Answer: 55
100 minus 45 equals 55.
Answer: 3
9 divided by 3 equals 3.