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 contexts. This week, we will explore how to count in different ways, such as counting forwards and backwards, skip counting, and recognizing patterns in numbers. We will also discuss how visual models, like number lines and ten frames, can help us visualize and understand these concepts better.
Let's consider the number line from 0 to 20. If we want to count by twos, we start at 0 and jump to 2, then 4, 6, and so on. This gives us the sequence: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Notice how each number is two more than the previous one. Visualizing this on a number line helps us see the gaps between the numbers and reinforces our understanding of counting by intervals.
Now, let’s practice skip counting together. I will write a number line on the board. Starting from 0, let’s skip count by threes. I will guide you through the first few jumps: 0, 3, 6, 9, 12, 15, 18. Can anyone tell me what comes next? (Pause for responses.) Great! It’s 21. Now, I want you to take turns with your partner to continue skip counting by threes up to 30. Remember to visualize the jumps on the number line.
For your independent practice, I want you to complete the following tasks: 1) Count backwards from 20 to 0 and write down the numbers. 2) Skip count by fives starting from 0 up to 50. 3) Create a visual model using a ten frame to represent the number 15. Once you finish, check your work with a partner and discuss any mistakes you might have made.
Answer: 10
The sequence is counting by twos, so after 8 comes 10.
Answer: 3, 2, 1, 0
Counting backwards means starting from a higher number and going to a lower number.
Answer: Skip counting is counting by a specific interval, such as twos, threes, or fives.
It helps in understanding patterns and sequences in numbers.
Answer: 16
The sequence is 0, 4, 8, 12, 16. The fifth number is 16.
Answer: A number line visually represents numbers and helps to see the intervals between them.
It makes counting and understanding number relationships easier.
Answer: 0, 10, 20, 30, 40, 50
Counting by tens means adding 10 each time, resulting in this sequence.
Answer: Reviewing mistakes helps identify misunderstandings and improve problem-solving skills.
It allows students to learn from errors and strengthen their knowledge.
Answer: 20
When counting by twos, you add 2 to 18, resulting in 20.