Number sense and counting (T3 W7)
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Number sense is the ability to understand, relate, and connect numbers. It involves recognizing the size of numbers, understanding their relationships, and being able to perform mental calculations. In this lesson, we will explore how to group numbers, identify patterns, and use these skills to solve problems. For example, recognizing that 25 is 5 groups of 5 helps us understand multiplication and division better.
Let's count by 5s starting from 0. The sequence is 0, 5, 10, 15, 20, 25, and so on. Notice how each number increases by 5. This pattern helps us quickly find larger numbers without counting one by one. If we want to find the 10th number in this sequence, we can multiply 5 by 10, which gives us 50.
Now, let's practice counting in groups. I will display a set of objects on the board, and we will count them in groups of 4. For instance, if we have 16 objects, we can group them as follows: 4 + 4 + 4 + 4 = 16. How many groups do we have? Let's write down the equation together and discuss how grouping helps us understand larger numbers.
For your independent practice, solve the following problems in your notebooks. 1) If you have 30 apples and you want to pack them in boxes of 6, how many boxes do you need? 2) Count the number of tens in the number 250. Show your working clearly. Remember to check your answers and reflect on any mistakes you might have made.
Answer: 40
The sequence increases by 10 each time, so the next number is 30 + 10 = 40.
Answer: 9
45 divided by 5 equals 9, meaning there are 9 groups of 5.
Answer: 42
Multiplying 7 by 6 gives us 42.
Answer: 18
Counting by 2s from 0 gives us 0, 2, 4, 6, 8, 10, 12, 14, 16, 18.
Answer: 12
120 has 12 tens because 120 divided by 10 equals 12.
Answer: 40
Adding 15 and 25 gives us 40.
Answer: 40
Subtracting 10 from 50 leaves us with 40 candies.
Answer: 15
15 is a multiple of 3 because it can be divided by 3 without a remainder.