Percentages and Fractions in Sports
Year 11 Mathematics NSW Curriculum Aligned Real-world applications in sporting contexts
Learning Objectives
Convert between fractions, decimals, and percentages fluently Solve percentage and fraction problems in sporting contexts Interpret and analyse sports performance data Apply mathematical reasoning to real-life scenarios
Quick Conversion Challenge
Convert 3/5 to a percentage What is 85% as a fraction in lowest terms? Express 0.6 as both a fraction and percentage If a player scores 15 out of 20 shots, what's their shooting percentage?
Sports Statistics in Action
AFL team wins 16 out of 22 games - what's their winning percentage? Cricket batsman scores 45 runs from 60 balls - what fraction scored? Basketball player makes 3/4 of free throws - percentage success rate? Soccer goalkeeper saves 7 out of 10 shots - decimal conversion?
Fraction to Percentage Method
{"left":"Step 1: Divide numerator by denominator\nStep 2: Multiply result by 100\nStep 3: Add percentage symbol\nExample: 3/5 = 0.6 = 60%","right":"Step 1: Convert percentage to decimal\nStep 2: Write as fraction over 100\nStep 3: Simplify to lowest terms\nExample: 75% = 0.75 = 75/100 = 3/4"}
Team Analysis Challenge
Year 11 Mathematics NSW Curriculum Aligned Real-world applications in sporting contexts
Critical Thinking Question
A rugby player has a 75% tackle success rate in the first half and 80% in the second half. If they made 12 tackles in the first half and 16 in the second half, how many tackles did they miss overall? What's their overall tackle success percentage for the entire game?
Key Takeaways
Percentages and fractions are essential for understanding sports performance Converting between formats helps compare different statistics Real-world applications make mathematics more meaningful These skills apply beyond sports to many life situations