Year 7 Unit 2 Revision Flashcards

Vocabulary and concept flashcards based on the Year 7 Unit 2 Revision for fractions, percentages, decimals, and ratios.

Mixed Number to Improper Fraction Conversion

The mathematical process of converting a whole number and a fraction into a single fraction where the numerator is greater than the denominator, such as converting $3 \frac{2}{5}$ to $\frac{17}{5}$ or $5 \frac{3}{4}$ to $\frac{23}{4}$.

Improper Fraction to Mixed Number Conversion

The process of expressing a fraction with a numerator greater than its denominator as a whole number and a remainder fraction, such as converting $\frac{25}{6}$ to $4 \frac{1}{6}$ or $\frac{13}{4}$ to $3 \frac{1}{4}$.

Simplest Form (Percentages)

Representing a percentage as a fraction reduced to its lowest terms, for example, converting 19 \text{ %} to $\frac{19}{100}$ or 5 \text{ %} to $\frac{5}{100} = \frac{1}{20}$.

Fraction to Percentage Conversion

Calculating the percentage equivalent of a fraction, such as determining that $\frac{8}{20}$ equals 40 \text{ %} or identifying the percentage for $\frac{6}{5}$ and $\frac{7}{8}$.

Percentage of a Quantity

Calculating a specific portion of a numerical value, such as finding 19 \text{ %} of $\text{\$5}$, 30 \text{ %} of $82$, or 45 \text{ %} of $\text{\$155}$.

Efficient Multiplication (Decimals)

Strategies used to multiply decimals by powers of ten, such as $24.327 \times 100 = 2432.7$ or $43.61 \times 10 = 436.1$.

Efficient Division (Decimals)

Strategies used to divide decimals by multiples of ten, such as dividing $42.6$ by $200$ or $3.9$ by $30$.

Simplifying Ratios

Reducing two or more related numbers to their lowest common terms, such as simplifying the ratio $9:6$ to $3:2$ or $55:15$ to $11:3$.

Ratio Word Problems (Fertilizer Mixture)

Using a set ratio between multiple components to solve for unknown weights; for example, using a ratio of $3$ parts compost to $2$ parts soil to $4$ parts ashes to find amounts when $15$ pounds of compost is used.

Ratio Word Problems (Paint Mixing)

Calculating required amounts of ingredients based on a fixed ratio, such as using $6$ parts red pigment to $4$ parts blue to $2$ parts yellow when $12\text{g}$ of red pigment is available.

Value for Money (Unit Price)

The process of comparing the cost per item to determine a better deal, such as comparing Store X (6 muffins for $\text{\$10}$) versus Store Y (a dozen muffins for $\text{\$15}$).

Mixed Number Operations

Adding or subtracting whole numbers and fractions together, such as evaluating $3 \frac{4}{5} + 2 \frac{2}{5}$ or $5 \frac{3}{4} - 2 \frac{7}{10}$.

Order of Operations with Fractions

The mathematical sequence needed to solve complex fraction problems, such as $\frac{3}{5} \times \frac{1}{2} + \frac{2}{5} \times \frac{5}{2}$, where division and multiplication are handled before addition.