What's next after basic addition / subtraction?
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What's next after basic addition / subtraction?
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Is there anything else that I can use to teach skip counting. I feel that my daughter is ready for this but we don't do well trying to sing different things to a tune like you're suggesting. Even if you just want to point me to a good website... Thanks!
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Do you know anywhere that I can make the dot to dots like you suggest but for free? Thanks!
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If you're concerned about either the Earth or your health, then you owe it to yourself to check out this web site!
another idea
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next, speeding up using flash card etc
I think practice by various of ways such as token or flash card to speed up is very important on math, esp before double digits and regrouping kick in.
Flash card, or jsut call out some addition/substraction for kids to solve mentally.
Flash card, or jsut call out some addition/substraction for kids to solve mentally.
another idea on skip counting
The important thing on any skill is to use it. We have lots of memories when my sons were in the 4-8 age range of skip counting in different situations. We'd be somewhere and I'd have them figure out both how many of a certain item there were as well as what the situation seemed to suggest that they skip count by.
For example, one time we were in a small movie theater with aisles, and the center section had rows of something like 8 seats, with the side sections had rows of something like 6 seats. So they skip counted the middle section by 8's and the side sections by 6's, then did some mental addition and came up with the total number of seats in the theater. I also remember having them skip counting cars in a parking lot, quarters arranged in stacks of 4, books in a bookcase that could be skip counted easily in groups of 3, cookies on a baking tray in rows of 4, bottles of juice in six-packs, and once even spilled nails on the floor. The cars in the parking lot and the nails on floor did not have any particular grouping amount that suggested itself, so they would just choose some convenient grouping and skip count by that amount. When they were younger, they tended to skip count by 2's and by 3's, so I think I remember occasionally having them skip count by higher amounts.
If you keep your eyes open as you go through your day and your life, you start to see lots of situations and occasions where it's interesting to know how many items are there - like the number of emoticons next to the message body when composing a message on this site - they're arranged in groups of 4, for which it's easy to count by 4's till you get to the last row, which has just 3, for which the skip counting aloud would be, "4, 8, 12, 16, then 17, 18, 19."
BTW, the above example of skip counting is more often than not how counting occurs in real life - you usually don't have a whole-number multiple of the skip count base number to count - that is, if you're counting by 6's, you seldom have exactly 24 or 30 or 36 or 42, etc., of the items in question. So learning to count on by ones from a higher multiple is also good mental math - "6, 12, 18, 24, 30, 36, then 37, 38, 39, 40 - Dad, there's 40" - is more often than not how the skip counting goes.
Hope this helps!
Bob Hazen
For example, one time we were in a small movie theater with aisles, and the center section had rows of something like 8 seats, with the side sections had rows of something like 6 seats. So they skip counted the middle section by 8's and the side sections by 6's, then did some mental addition and came up with the total number of seats in the theater. I also remember having them skip counting cars in a parking lot, quarters arranged in stacks of 4, books in a bookcase that could be skip counted easily in groups of 3, cookies on a baking tray in rows of 4, bottles of juice in six-packs, and once even spilled nails on the floor. The cars in the parking lot and the nails on floor did not have any particular grouping amount that suggested itself, so they would just choose some convenient grouping and skip count by that amount. When they were younger, they tended to skip count by 2's and by 3's, so I think I remember occasionally having them skip count by higher amounts.
If you keep your eyes open as you go through your day and your life, you start to see lots of situations and occasions where it's interesting to know how many items are there - like the number of emoticons next to the message body when composing a message on this site - they're arranged in groups of 4, for which it's easy to count by 4's till you get to the last row, which has just 3, for which the skip counting aloud would be, "4, 8, 12, 16, then 17, 18, 19."
BTW, the above example of skip counting is more often than not how counting occurs in real life - you usually don't have a whole-number multiple of the skip count base number to count - that is, if you're counting by 6's, you seldom have exactly 24 or 30 or 36 or 42, etc., of the items in question. So learning to count on by ones from a higher multiple is also good mental math - "6, 12, 18, 24, 30, 36, then 37, 38, 39, 40 - Dad, there's 40" - is more often than not how the skip counting goes.
Hope this helps!
Bob Hazen
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