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Grade 5 Math Activities
What are Numbers Made of?
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Help your child think about how numbers and operations relate to each other, and help her
become fluent in math facts. Do “number studies” with your child.
Here's what you need:
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| Grid paper (made up of little squares. Make your own using plain paper and a centimeter
ruler.) |
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| Square tiles (optional) |
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| Pencil |
Here's what you do:
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Begin by asking your child to choose a number and come up with everything she knows about
that number. For example, suppose the number is 60. Some facts your child might know about
60:
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| 30 + 30 = 60 |
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| There are six 10’s in 60. |
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| One hundred 60’s is 6,000. |
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| If you divide 360 by 6, you get 60. |
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| If you have a cake cut into 60 pieces, then 30 pieces is the same as half the cake. |
After your child has listed some facts, help her organize them and expand the list. For
example, categories could include: addition facts with 60 as the sum (total), factors of 60
(numbers that you can multiply to get 60), numbers that have 60 as a factor, fractions involving
60, etc. Your child can then try to list 5 or 10 facts in each category. Use the categories
and lists to help raise additional questions.
Here are some questions to explore using grid paper. (Square tiles or blocks may help as
well.) Help your child come up with ways to keep track of different answers.
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| What are all the different rectangles we can make using 60 squares? What are their
dimensions? Their perimeters (the distances around them)? Their areas (numbers of squares
that fill them)? How many different rectangles can we find? How can we be sure we found them
all? |
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| Suppose we make garden plots using 60 feet of fencing. What are all the different-size
plots we can make? What are their dimensions? Their perimeters? Their areas? How many can
we find? How can we be sure we found them all? |
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| What are the different shapes and patterns that we can make using 60 squares? |
Keep going...
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Let your child’s interest and curiosity take this activity in different directions.
For example, your child may want to master the times facts. Or she may become interested in
finding all fractions that are equivalent to fractions that have 60 as the denominator (bottom
number). Once your child has spent time exploring a number, let her choose another number
to study.
Grade 5 Math Activities
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