Students
will extend previously developed skills with whole numbers and decimals.
We will look at estimation strategies, mental methods, pencil-and paper
algorithms, and calculator procedures. We will develop techniques for
placing the decimal point in answers.
We will see how to represent very large and very
small numbers with number-and-word notation, exponential notation, and
scientific notation. For example scientific notation is one way that
mathematicians and scientists express very large and very small numbers.
In order to use scientific notation , we will first need to know about
exponential notation, which is a way of representing repeated
multiplication. For example, 7x7x7x7 can be written at seven to the four
power.
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Vocabulary
dividend,
divisor, exponent, exponential notation, factor, number-and-word
notation, power, power of 10, powers key, precision, quotient,
reminder,
scientific notation, standard notation
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Objectives
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Translate
between scientific notation and standard notation, with and
without a calculator |
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Estimate
products and multiply decimals |
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Divide
two whole numbers; give the answer to a specified number of
decimal places |
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Estimate
the quotient and divide a decimal by a whole number |
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Multiply
by positive and negative powers of 10 |
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Interpret
number-and word notation for large numbers |
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Use
exponential notation for small numbers |
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Use
exponential notation for large numbers |
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Read,
write, and compare numbers form thousandths to trillions |
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Add
and subtract decimals |
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Estimate
quotients and divide whole numbers |
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Games
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Division
Dash - One or two players try to reach 100 on a calculator
in as few divisions as possible. |
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Doggone
Decimal - Two players compete to collect the most number
cards. This game provides practice in estimating products of
whole numbers and decimals. |
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Exponent
Ball - provides students with practice in exponential
notation in the context of a game similar to U.S. football. |
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Activities
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Encourage
your child to recognize the everyday uses of fractions and decimals
in the fields such as science, statistics, business, sports, print
and television journalism. |
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Encourage
your child to incorporate the vocabulary of fractions and decimals
into their everyday speech. |
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If you
are planning a dinner party or a big meal, have your child help you
adjust the amounts of each ingredient needed to be proportionally
correct. |
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Have
your child calculate the tip of a restaurant bill through mental
math and estimation. |
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