Ratio, Proportion and Rates of Change (AQA)

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19 Terms

1
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Ratios

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

2
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Simplifying Ratios

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

3
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Simplifying Ratios with Decimals/Fractions

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

4
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Simplifying Ratios in Different Units

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

5
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Writing Ratios as Fractions of a Whole

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

6
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Scale Factors

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

7
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Percentages

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

8
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Calculating Percentages of Amounts

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

9
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Increasing/Decreasing by Percentages

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

10
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Reverse Percentages

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

11
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Interest Rates

Money paid back at a percentage when borrowing or loaning.

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Simple Interest

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

13
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Compound Interest

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

14
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Proportions

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

15
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Scale Factors

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

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Proportionality

Write equations with proportions using a constant of proportionality.

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Direct Proportions

Relationship where values increase together with a constant multiplier.

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Indirect Proportions

Relationship where one value increases while the other decreases.

19
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Exponential Growth and Decay

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