Ratios, rates & percents worksheets

Ratios, rates & percents 13 skills

• Comparing rates with conversions Convert both rates to the same units. Square the length conversion factor for area, and check the direction of each conversion.
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• Equivalent ratios & ratio tables Multiply both parts of a ratio by the same number and it stays equivalent: same recipe, bigger batch.
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• Finding the constant across representations Divide output by input to find the unit rate. Check that both supplied views give the same rate.
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• Fractional unit rates Use the requested units to decide which quantity to divide by which. Multiply by the reciprocal and keep the units.
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• Fractions, decimals & percents A fraction, a decimal, and a percent are three ways to write the same amount. Get it over 100 and you can read off all three.
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• Graphing proportional relationships A proportional graph is a straight line through the origin. Read each coordinate using its axis label.
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• Interpreting proportional graph points A proportional graph is a straight line through the origin. Read each coordinate using its axis label.
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• Multistep ratio applications Keep each quantity attached to its units. A ratio between two parts uses a different base from a part of the whole.
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• Percent of a number Percent means out of 100, so 50% is half, 25% is a quarter, and 10% means divide by 10.
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• Proportionality in graphs A proportional graph is a straight line through the origin. Read each coordinate using its axis label.
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• Proportionality in tables Check that zero input gives zero output, then compare cross products of the nonzero pairs.
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• Unit rates & ratios A rate compares two amounts; a unit rate tells how much for exactly one. Divide the total by how many.
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• Writing proportional equations Find the output per one input unit. Multiply the input quantity by that rate to get the output quantity.
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