| Objective A: Learners will develop concepts of
fractions, mixed numbers, decimals, and percents. |
- Understand a fraction as a ratio, a relationship by division, a
part or equal share of a whole, or a part or equal share of a group.
- Understand a proportion as two equal ratios, and that finding the
least common denominator means you are solving for the missing
element in a proportion.
- Understand a mixed number as the sum of a whole number and a
fractional part that may also be expressed in fractional terms (4
1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2).
- Recognize a decimal as a fraction with a denominator which is a
power of ten.
- Recognize a decimal as the fractional extension of the base ten
system of numbers.
- Recognize percent as representing a ratio expressed in
hundredths, e.g., 25% = 25:100.
- Recognize percent as a fraction with a denominator of 100 which
can be expressed as a decimal, e.g., 12.5% = 12.5/100 = 125/1000 =
0.125.
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| Objective B: Learners will develop number
sense for fractions, decimals, and percents. |
- Recognize that all possible proper fractions (common, decimal,
percent) fall between 0 and 1, i.e., 0 < x/y < 1.
- Recognize that as the denominator of any fraction gets larger,
the size of the pieces the whole is being cut into gets smaller,
e.g., 1/2 > 1/3 > 1/4 > 1/5.
- Identify how close to (or far away from) the fraction, decimal,
and/or percent is to a half or a whole.
- Use models (Cuisenaire Rods, cutouts of circles, Deanes Blocks,
paper, instruments, coins, dollars/cents, base ten grids, etc.) to
relate conversions of common fractions to decimals and to percents.
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