Number sense and counting (T4 W5)
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Number sense refers to a person's ability to understand, interpret, and work with numbers. It includes skills such as estimating, comparing, and recognizing patterns. In this lesson, we will explore how to develop a strong number sense by engaging in activities that require us to think critically about numbers. We will also discuss how counting is not just about reciting numbers but involves understanding their relationships and values.
Let's consider the problem: 'Estimate the total number of apples if there are 3 baskets with 12 apples each.' To solve this, we can use multiplication: 3 baskets × 12 apples = 36 apples. However, if we want to estimate quickly, we could round 12 to 10 and say 3 × 10 = 30 apples. This shows how estimation can help us quickly assess quantities without needing exact calculations.
Now, let's practice counting using a visual model. I will show you a set of blocks arranged in groups. Count the total number of blocks and then group them in different ways (e.g., groups of 5, groups of 10). Discuss how changing the grouping affects your counting strategy. This activity will help reinforce the concept of number relationships and how they can be manipulated.
For your independent practice, solve the following problems on your own. Show all your working clearly. 1) If a farmer has 45 apples and wants to pack them into boxes of 9, how many boxes will he need? 2) Estimate the sum of 67 and 29 by rounding. 3) Create a number line and place the numbers 10, 15, 20, and 25 on it. Explain how you determined their positions.
Answer: 70
Rounding 48 to 50 and 27 to 30 gives an estimated sum of 50 + 30 = 80.
Answer: 15
150 divided by 10 equals 15, indicating there are 15 tens in 150.
Answer: 7
A prime number is only divisible by 1 and itself; 7 meets this criterion.
Answer: 63
100 minus 37 equals 63.
Answer: 30
5 groups of 6 is calculated as 5 × 6 = 30.
Answer: 10
The sequence increases by 2 each time.
Answer: 3/4
3/4 is greater than 2/3 when both are converted to a common denominator.
Answer: 144
12 squared means 12 × 12, which equals 144.