# NLVM 3 - 5 Manipulatives

Related:  Numeracy

NRICH Home Page Teachers Primary Pupils Secondary Students Events and PD "It gave me some good ideas to use in the classroom and ... a link that I can get all of the activities from." Book NRICH Bespoke PDBook Forthcoming EventsBook our Hands-on Roadshow Your Solutions Visual Fractions - A Fraction Tutorial Equivalent Fractions Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value. The rule to remember is: "Change the bottom using multiply or divide, And the same to the top must be applied" So, here is why those fractions are really the same: And visually it looks like this: Dividing Here are some more equivalent fractions, this time by dividing: Choose the number you divide by carefully, so that the results (both top and bottom) stay whole numbers. If we keep dividing until we can't go any further, then we have simplified the fraction (made it as simple as possible). You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.

Ask Dr. Math FAQ: Learning Multiplication Facts Some people seem to have real difficulty learning their multiplication facts. Parents, teachers, and students have written to Dr. Math asking for help with learning their multiplication tables (see some of the best answers from our archives). For an enjoyable twist, see also Russian Peasant Multiplication. There are many ways to help us remember such things, but what works best will be different for different people. Here's how this might work with multiplication facts. You can make a multiplication table. Since 1 times any number is just that number, we can leave the 1's off. Some people describe a row (or column) as "skip counting," so the row beginning at 5 is the row of "5 times" facts, or "skip counting x | 2 3 4 5 6 7 8 9 10 11 12 --+------------------------------------------ | 5 |10 15 20 25 30 35 40 45 50 55 60 These "times tables" can be memorized as a smaller chunk by themselves. Finding patterns A good way to learn multiplication facts is to look for other patterns in the table.