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1

Ratios

Show the relationship between two (or more) numbers, written as a:b or a/b.

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2

Simplifying Ratios

Ratios can be simplified like fractions by dividing both parts by their greatest common factor.

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3

Simplifying Ratios with Decimals/Fractions

Multiply the ratio by a number to get whole numbers, then simplify further if possible.

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4

Simplifying Ratios in Different Units

Convert units to the same type, simplify, and express as a ratio.

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5

Writing Ratios as Fractions of a Whole

Express ratios as parts of a whole, finding total amount and fractions for each part.

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6

Scale Factors

Numbers that scale quantities, used in maps and scaled diagrams.

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7

Percentages

Show a number as parts per hundred, written as a fraction or decimal.

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8

Calculating Percentages of Amounts

Convert percentage to decimal/fraction, then multiply by the amount.

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9

Increasing/Decreasing by Percentages

Add or subtract the percentage of the amount to increase or decrease it.

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10

Reverse Percentages

Find the original value after an increase or decrease using percentages.

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11

Interest Rates

Money paid back at a percentage when borrowing or loaning.

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12

Simple Interest

Calculate interest by finding a percentage of the principal for a period and adding it.

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13

Compound Interest

Interest where added interest also earns interest, using a multiplier method.

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14

Proportions

Two equal ratios used to find missing values, set up as fractions.

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15

Scale Factors

Used to compare sizes of shapes, find length scale factor, and calculate area/volume scale factors.

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16

Proportionality

Write equations with proportions using a constant of proportionality.

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17

Direct Proportions

Relationship where values increase together with a constant multiplier.

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18

Indirect Proportions

Relationship where one value increases while the other decreases.

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19

Exponential Growth and Decay

Graphs with exponential growth for >1 and decay for 0<

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