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Scale numbers up or down using a double-sided number line to keep track of the multiplicative relationship between two amounts. Use whole numbers and unit fractions, and convert larger to smaller units, and smaller to larger units.
Use double-sided number lines to visualize and scale whole numbers proportionally. If it rains 9 inches in 2 months, how much will it rain in 12 months? Multiply or divide to find the scale factor. Since 6 x 2 months = 12 months, it will rain 6 times as much. It will rain 6 x 9 inches = 54 inches in 12 months.
Prerequisites: 4-17, 4-16
Lay the foundation for ratio and slope by applying the unit rate. If it rains 21 inches in 7 months, how much will it rain in 36 months? 36 is not a multiple of 7, but 21 is. Since 21 inches in 7 months is a rate of 3 inches in 1 month, it will rain 36 x 3 inches = 108 inches in 36 months. Use the unit rate to scale quantities proportionally.
Prerequisites: 5-84
Use double-sided number lines to visualize and scale unit-fractions proportionally. If 2 pies need 1/2 of a cup of sugar, how much sugar do 12 pies need? Multiply or divide to find the scale factor. Since 12 pies รท 2 pies = 6, the scale factor is 6, and 12 pies need 6 x 1/2 cup = 3 cups of sugar.
Prerequisites: 5-85 ○ 5-72, 5-54, 5-53
