Unit 4 End Assessment

Proportional Relationships and Percentages

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Unit 4

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4A: Proportional Relationships with Fractions

I remember how to compute percentages.I can find dimensions on scaled copies of a rectangle.I can solve problems about ratios of fractions and decimals.When there is a constant rate, I can identify the two quantities that are in a proportional relationship.I can use a table with 2 rows and 2 columns to find an unknown value in a proportional relationship.I understand that “half as much again” and “multiply by 3/2” mean the same thing.I can use the distributive property to rewrite an expression like x+1/2x as (1+1/2)x.I can write fractions as decimals.I can use the distributive property to rewrite an equation like x+0.5x=1.5x.I understand that “half as much again” and “multiply by 1.5” mean the same thing.

4B: Percent Increase and Decrease

I can draw a tape diagram that represents a percent increase or decrease.When I know a starting amount and the percent increase or decrease, I can find the new amount.When I know the new amount and the percentage of increase or decrease, I can find the original amount.I understand that if I know how much a quantity has grown, then the original amount represents 100%.I can use a double number line diagram to help me solve percent increase and decrease problems.I can solve percent increase and decrease problems by writing an equation to represent the situation and solving it.I understand that to find 0.1% of an amount I have to multiply by 0.001. I can find percentages of quantities like 12.5% and 0.4%.

4C: Applying Percentages

I understand and can solve problems about sales tax and tip.I understand and can solve problems about commission, interest, markups, and discounts.I can find the percentage increase or decrease when I know the original amount and the new amount.I understand that all measurements include some error.I can represent measurement error as a percentage of the correct measurement.I can solve problems that involve percent error.I can find a range of possible values for a quantity if I know the maximum percent error and the correct value.

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