mr barton maths

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FDP – Comparing

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Foundational Skills
Recognise equivalent values
\[ 0.4 = \frac{2}{5} = 40\% \]
Identify which values are equivalent.
Identify the odd one out
\[ 75\% \neq 7.5\% \]
Find the value not equivalent to the rest.
Convert to common form
\[ \text{F, D, or P?} \]
Choose efficient form for comparison.
Comparing Decimals
Same decimal places
\[ 0.37 \text{ vs } 0.42 \]
Compare decimals with same d.p.
Different decimal places
\[ 0.4 \text{ vs } 0.35 \]
Compare decimals with different d.p.
With zeros
\[ 0.07 \text{ vs } 0.1 \]
Compare decimals with leading zeros.
Comparing Fractions
Same denominator
\[ \frac{3}{7} \text{ vs } \frac{5}{7} \]
Compare fractions with same denominator.
Same numerator
\[ \frac{3}{5} \text{ vs } \frac{3}{8} \]
Compare fractions with same numerator.
Different num. and denom.
\[ \frac{3}{4} \text{ vs } \frac{5}{7} \]
Compare fractions where both differ.
One greater than one
\[ \frac{5}{4} \text{ vs } \frac{7}{6} \]
Compare improper fractions.
Comparing Percentages
Integer percentages
\[ 35\% \text{ vs } 42\% \]
Compare whole number percentages.
Decimal percentages
\[ 12.5\% \text{ vs } 12.8\% \]
Compare percentages with decimals.
Comparing Mixed Representations
Fraction and decimal
\[ \frac{3}{8} \text{ vs } 0.4 \]
Compare a fraction with a decimal.
Fraction and percentage
\[ \frac{2}{5} \text{ vs } 35\% \]
Compare a fraction with a percentage.
Decimal and percentage
\[ 0.45 \text{ vs } 40\% \]
Compare a decimal with a percentage.
All three representations
\[ 0.7, \frac{3}{4}, 65\% \]
Order a mixed set of F, D, and P.
Ordering
Fractions: related denominators
\[ \frac{1}{2}, \frac{3}{8}, \frac{5}{8} \]
Order fractions with related denoms.
Fractions: unrelated denominators
\[ \frac{2}{3}, \frac{3}{5}, \frac{5}{8} \]
Order fractions with unrelated denoms.
Decimals of varying lengths
\[ 0.4, 0.38, 0.405 \]
Order decimals with different d.p.
Including over 100%
\[ 85\%, 120\%, 0.9 \]
Order values exceeding 100%.
Including recurring decimals
\[ \frac{1}{3}, 0.35, 30\% \]
Order values with recurring decimals.
Descending order
\[ \text{Largest} \to \text{Smallest} \]
Order from largest to smallest.
Finding Values Between
Between two fractions
\[ \frac{1}{3} \text{ and } \frac{1}{2} \]
Find a value between two fractions.
Between decimal and percentage
\[ 0.3 \text{ and } 40\% \]
Find a value between mixed forms.
Exactly halfway
\[ \text{Halfway: } \frac{1}{4} \to \frac{1}{2} \]
Find the exact midpoint.
Special Cases
Compare with zero
\[ -0.5 \text{ vs } \frac{1}{4} \]
Compare including negatives or zero.
Very small values
\[ 0.01 \text{ vs } 1\% \]
Compare very small F, D, or P.
Greater than 1
\[ 1.25 \text{ vs } \frac{5}{4} \]
Compare values greater than 1.
Equivalent pairs in a set
\[ \text{Find pairs} \]
Find multiple equivalent pairs.
Timer (Optional)
Question