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7.1

Unit 1 Vocabulary

TermDefinition
ratio a comparison of two quantities using division, which can be written 3 ways ex. 5/7, 5:7, 5 to 7
rate a ratio that compares two quantities measured in different units ex. 20 miles in 2 hours
unit rate a comparison of two measurements in which the denominator is 1- divide to find unit rate ex. 10 flowers to 2 vases 10/2 = 5 The unit rate is 5 flowers/ 1 vase.
mixed number a number that has a whole number and a fraction. ex. 2 1/2
improper fraction a fraction where the numerator is larger than the denominator. ex. 3/2
reciprocal when you flip a fraction; the numerator and denominator switch places. ex. the reciprocal of 2/3 is 3/2
complex fraction a rate comparing two fractions ex. 1/2 / 2/3
better buy Calculate the unit rates (money/items) to compare which item is the better buy (lower unit price).
better buy example 1.) $10 for 2 notebooks= 10/2 $5/notebook 2) $9 for 3 notebooks= 9/3 $3/notebook Option 2 is the better buy (lower unit rate)
proportion an equation that states that two ratios are equal to each other. ex. 2/3 = 4/6
equivalent ratios ratios that have the same part-to-part or part-to-whole relationship. 2/3 and 4/6 are equivalent
scale the ratio of the length in a drawing, model, or map to the length on the real thing ex. 1 inch = 557 miles
scale factor The ratio of corresponding sides in a figure: new/original ex. The distance between two cities is 56 km. On a map, the distance is 4 cm. The scale factor is 56/4 = 14 km/cm
scale drawing can be used to represent two- and three- dimensional objects. ex. map, blueprint
englargement a scale factor greater than 1 ex. A model of a cell is an enlargement.
reduction a scale factor less than 1 ex. A map in a reduction.
similar figures shapes that have the same ratio or scale factor. ex. when you reduce or enlarge an image, they are similar
proportional two quantities that have a constant rate or unit rate Graph is always a straight line (linear) and goes through the origin
non-proportional two quantities that do not have a constant rate or unit rate
constant of proportionality (COP) the constant rate by which proportional relationships increase, can be found by dividing y by x
origin The starting point on a graph., where the x- and y- axes meet. (0, 0)
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